
Time bar (total: 16.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 7 to 7 computations (0% saved)
| 775.0ms | 8 256× | 0 | valid |
ival-sin: 262.0ms (54.7% of total)ival-exp: 127.0ms (26.5% of total)ival-mult: 79.0ms (16.5% of total)ival-true: 7.0ms (1.5% 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 |
| 43.0ms | 512× | 0 | valid |
Compiled 64 to 34 computations (46.9% saved)
ival-sin: 12.0ms (47.8% of total)ival-exp: 9.0ms (35.8% of total)ival-mult: 3.0ms (11.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
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)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(negabs im)
Compiled 5 to 5 computations (0% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 5 to 5 computations (0% 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)) |
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)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(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 | 0.01171875 | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 16.0ms | 256× | 0 | valid |
Compiled 24 to 12 computations (50% saved)
ival-sin: 5.0ms (52.2% of total)ival-exp: 2.0ms (20.9% of total)ival-mult: 2.0ms (20.9% 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 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) (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) (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) (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) (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 (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 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 (* (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 (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 (* (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 (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>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | im | @ | inf | ((* (exp re) (sin im)) (exp re) (sin im)) |
| 1.0ms | im | @ | -inf | ((* (exp re) (sin im)) (exp re) (sin im)) |
| 1.0ms | re | @ | inf | ((* (exp re) (sin im)) (exp re) (sin im)) |
| 1.0ms | im | @ | 0 | ((* (exp re) (sin im)) (exp re) (sin im)) |
| 1.0ms | re | @ | -inf | ((* (exp re) (sin im)) (exp re) (sin im)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 297 |
| 1 | 221 | 286 |
| 2 | 584 | 274 |
| 3 | 1576 | 268 |
| 4 | 2434 | 268 |
| 5 | 3117 | 268 |
| 6 | 3582 | 268 |
| 7 | 3732 | 268 |
| 8 | 4021 | 268 |
| 9 | 5959 | 268 |
| 0 | 8246 | 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))))))) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(* 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)))))))) |
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)))) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(sin im) |
(sin im) |
(sin im) |
(sin im) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(sin im) |
(sin im) |
(sin im) |
(sin im) |
| Outputs |
|---|
(sin im) |
(sin.f64 im) |
(+ (sin im) (* re (sin im))) |
(fma.f64 re (sin.f64 im) (sin.f64 im)) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (sin.f64 im)) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (sin.f64 im)) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (exp.f64 re)) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im) (exp.f64 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)))))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im) |
im |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) |
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #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 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(sin im) |
(sin.f64 im) |
(sin im) |
(sin.f64 im) |
(sin im) |
(sin.f64 im) |
(sin im) |
(sin.f64 im) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(sin im) |
(sin.f64 im) |
(sin im) |
(sin.f64 im) |
(sin im) |
(sin.f64 im) |
(sin im) |
(sin.f64 im) |
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 |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
Compiled 381 to 63 computations (83.5% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 44 | 7 | 51 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 44 | 8 | 52 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (exp.f64 re) (sin.f64 im)) |
| ▶ | 67.1% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) |
| ▶ | 61.1% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) |
| ▶ | 50.5% | (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
| 50.5% | #s(approx (* (exp re) (sin im)) (fma.f64 re (sin.f64 im) (sin.f64 im))) | |
| 60.1% | #s(approx (* (exp re) (sin im)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im)) | |
| ▶ | 68.4% | #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
| ▶ | 50.2% | #s(approx (* (exp re) (sin im)) (sin.f64 im)) |
Compiled 143 to 115 computations (19.6% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) | |
| cost-diff | 0 | (sin.f64 im) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) re) | |
| cost-diff | 0 | #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) | |
| cost-diff | 0 | (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) | |
| cost-diff | 0 | (sin.f64 im) | |
| cost-diff | 0 | #s(approx (* (exp re) (sin im)) (sin.f64 im)) | |
| cost-diff | 0 | (exp.f64 re) | |
| cost-diff | 0 | (*.f64 (exp.f64 re) im) | |
| cost-diff | 0 | #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 149 |
| 0 | 43 | 149 |
| 1 | 61 | 149 |
| 2 | 81 | 149 |
| 3 | 146 | 149 |
| 4 | 254 | 149 |
| 5 | 308 | 149 |
| 6 | 325 | 149 |
| 0 | 325 | 149 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
(*.f64 (exp.f64 re) im) |
(exp.f64 re) |
re |
im |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
(sin.f64 im) |
im |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) |
(+.f64 #s(literal 1 binary64) re) |
#s(literal 1 binary64) |
re |
(sin.f64 im) |
im |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) |
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
re |
#s(literal 1 binary64) |
(sin.f64 im) |
im |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) |
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
re |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(sin.f64 im) |
im |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
(*.f64 (exp.f64 re) im) |
(exp.f64 re) |
re |
im |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
(sin.f64 im) |
im |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) |
(+.f64 #s(literal 1 binary64) re) |
#s(literal 1 binary64) |
re |
(sin.f64 im) |
im |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) |
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
re |
#s(literal 1 binary64) |
(sin.f64 im) |
im |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) |
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
re |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(sin.f64 im) |
im |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.05078125 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) | |
| accuracy | 0.05078125 | (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) | |
| accuracy | 0.1953125 | (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) | |
| accuracy | 21.02212156592684 | #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) | |
| accuracy | 0 | (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) | |
| accuracy | 0 | (sin.f64 im) | |
| accuracy | 0.01171875 | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) | |
| accuracy | 24.85526640394378 | #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) re) | |
| accuracy | 0 | (sin.f64 im) | |
| accuracy | 0.01171875 | (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) | |
| accuracy | 31.591181092784495 | #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) | |
| accuracy | 0 | (sin.f64 im) | |
| accuracy | 31.854884396687368 | #s(approx (* (exp re) (sin im)) (sin.f64 im)) | |
| accuracy | 0 | (exp.f64 re) | |
| accuracy | 0.015625 | (*.f64 (exp.f64 re) im) | |
| accuracy | 20.20737532401984 | #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
| 72.0ms | 256× | 0 | valid |
Compiled 233 to 44 computations (81.1% saved)
ival-mult: 11.0ms (36.1% of total)ival-add: 7.0ms (23% of total)ival-sin: 6.0ms (19.7% of total)const: 4.0ms (13.1% of total)ival-exp: 2.0ms (6.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (patch #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) #<representation binary64>) () ()) |
#s(alt (*.f64 (exp.f64 re) im) (patch (*.f64 (exp.f64 re) im) #<representation binary64>) () ()) |
#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ()) |
#s(alt #s(approx (* (exp re) (sin im)) (sin.f64 im)) (patch #s(approx (* (exp re) (sin im)) (sin.f64 im)) #<representation binary64>) () ()) |
#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (patch #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) re) (patch (+.f64 #s(literal 1 binary64) re) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (sin im) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (patch #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (patch #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (patch #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) 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 #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (patch #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) #<representation binary64>) () ())) ()) |
#s(alt im (taylor 0 re) (#s(alt (*.f64 (exp.f64 re) im) (patch (*.f64 (exp.f64 re) im) #<representation binary64>) () ())) ()) |
#s(alt (+ im (* im re)) (taylor 0 re) (#s(alt (*.f64 (exp.f64 re) im) (patch (*.f64 (exp.f64 re) im) #<representation binary64>) () ())) ()) |
#s(alt (+ im (* re (+ im (* 1/2 (* im re))))) (taylor 0 re) (#s(alt (*.f64 (exp.f64 re) im) (patch (*.f64 (exp.f64 re) im) #<representation binary64>) () ())) ()) |
#s(alt (+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) (taylor 0 re) (#s(alt (*.f64 (exp.f64 re) im) (patch (*.f64 (exp.f64 re) 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 (sin im) (taylor 0 re) (#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 im) (* re (sin im))) (taylor 0 re) (#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 im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) (taylor 0 re) (#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 im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (sin.f64 im)) (patch #s(approx (* (exp re) (sin im)) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (sin im) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (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) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) 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 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 re) (#s(alt #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (patch #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 re) (taylor 0 re) (#s(alt #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (patch #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (patch #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (taylor 0 re) (#s(alt #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (patch #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 re) (#s(alt (+.f64 #s(literal 1 binary64) re) (patch (+.f64 #s(literal 1 binary64) re) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 re) (taylor 0 re) (#s(alt (+.f64 #s(literal 1 binary64) re) (patch (+.f64 #s(literal 1 binary64) re) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 re) (taylor 0 re) (#s(alt (+.f64 #s(literal 1 binary64) re) (patch (+.f64 #s(literal 1 binary64) re) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 re) (taylor 0 re) (#s(alt (+.f64 #s(literal 1 binary64) re) (patch (+.f64 #s(literal 1 binary64) re) #<representation binary64>) () ())) ()) |
#s(alt (sin im) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
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#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 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
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#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (patch #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (patch #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (patch #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (patch #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) #<representation binary64>) () ())) ()) |
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt (*.f64 (exp.f64 re) im) (patch (*.f64 (exp.f64 re) im) #<representation binary64>) () ())) ()) |
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt (*.f64 (exp.f64 re) im) (patch (*.f64 (exp.f64 re) im) #<representation binary64>) () ())) ()) |
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt (*.f64 (exp.f64 re) im) (patch (*.f64 (exp.f64 re) im) #<representation binary64>) () ())) ()) |
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt (*.f64 (exp.f64 re) im) (patch (*.f64 (exp.f64 re) im) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#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 (* (exp re) (sin im)) (taylor -inf im) (#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 (* (exp re) (sin im)) (taylor -inf im) (#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 (* (exp re) (sin im)) (taylor -inf im) (#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 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 (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | re | @ | -inf | ((* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2)) |
| 2.0ms | re | @ | inf | ((* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2)) |
| 1.0ms | re | @ | 0 | ((* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2)) |
| 1.0ms | im | @ | -inf | ((* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2)) |
| 1.0ms | im | @ | inf | ((* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 1727 |
| 1 | 406 | 1664 |
| 2 | 1121 | 1618 |
| 3 | 3934 | 1588 |
| 4 | 7404 | 1588 |
| 0 | 8116 | 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))))))) |
im |
(+ im (* im re)) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 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))))))) |
(sin im) |
(+ (sin im) (* re (sin im))) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
1 |
(+ 1 re) |
(+ 1 re) |
(+ 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))))))) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
1 |
(+ 1 (* 1/2 re)) |
(+ 1 (* 1/2 re)) |
(+ 1 (* 1/2 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))))))) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
1 |
(+ 1 (* 1/2 re)) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
1/2 |
(+ 1/2 (* 1/6 re)) |
(+ 1/2 (* 1/6 re)) |
(+ 1/2 (* 1/6 re)) |
(* (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)) |
(exp re) |
(exp re) |
(exp re) |
(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)) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
re |
(* re (+ 1 (/ 1 re))) |
(* re (+ 1 (/ 1 re))) |
(* re (+ 1 (/ 1 re))) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(exp re) |
(exp re) |
(exp re) |
(exp 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 re) |
(* re (+ 1/2 (/ 1 re))) |
(* re (+ 1/2 (/ 1 re))) |
(* re (+ 1/2 (/ 1 re))) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(exp re) |
(exp re) |
(exp re) |
(exp 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 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 re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (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)) |
(exp re) |
(exp re) |
(exp re) |
(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)) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
re |
(* re (+ 1 (/ 1 re))) |
(* re (+ 1 (/ 1 re))) |
(* re (+ 1 (/ 1 re))) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(exp re) |
(exp re) |
(exp re) |
(exp 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 re) |
(* re (+ 1/2 (/ 1 re))) |
(* re (+ 1/2 (/ 1 re))) |
(* re (+ 1/2 (/ 1 re))) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(* 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))) |
(* 1/6 (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 re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* 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)))))))) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* 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)))))))) |
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)))) |
(* 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)))))))) |
(* 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)))))))) |
(* 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)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(sin im) |
(sin im) |
(sin im) |
(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)) |
(* (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)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(sin im) |
(sin im) |
(sin im) |
(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)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
| Outputs |
|---|
(sin im) |
(sin.f64 im) |
(+ (sin im) (* re (sin im))) |
(fma.f64 re (sin.f64 im) (sin.f64 im)) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (sin.f64 im)) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
im |
(+ im (* im re)) |
(fma.f64 re im im) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im) |
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) |
(fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(sin im) |
(sin.f64 im) |
(+ (sin im) (* re (sin im))) |
(fma.f64 re (sin.f64 im) (sin.f64 im)) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (sin.f64 im)) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(sin im) |
(sin.f64 im) |
(+ (sin im) (* re (sin im))) |
(fma.f64 re (sin.f64 im) (sin.f64 im)) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (sin.f64 im)) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
(sin im) |
(sin.f64 im) |
(+ (sin im) (* re (sin im))) |
(fma.f64 re (sin.f64 im) (sin.f64 im)) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (sin.f64 im)) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 re)) |
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) |
(+ 1 (* 1/2 re)) |
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) |
(+ 1 (* 1/2 re)) |
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) |
(sin im) |
(sin.f64 im) |
(+ (sin im) (* re (sin im))) |
(fma.f64 re (sin.f64 im) (sin.f64 im)) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (sin.f64 im)) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 re)) |
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 re)) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 re)) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 re)) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
re |
(* re (+ 1 (/ 1 re))) |
(+.f64 #s(literal 1 binary64) re) |
(* re (+ 1 (/ 1 re))) |
(+.f64 #s(literal 1 binary64) re) |
(* re (+ 1 (/ 1 re))) |
(+.f64 #s(literal 1 binary64) re) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(* 1/2 (pow re 2)) |
(*.f64 (*.f64 re re) #s(literal 1/2 binary64)) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(* 1/2 re) |
(*.f64 #s(literal 1/2 binary64) re) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(* 1/6 (pow re 3)) |
(*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(* 1/6 (pow re 2)) |
(*.f64 (*.f64 re re) #s(literal 1/6 binary64)) |
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) |
(* 1/6 re) |
(*.f64 #s(literal 1/6 binary64) re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
re |
(* re (+ 1 (/ 1 re))) |
(+.f64 #s(literal 1 binary64) re) |
(* re (+ 1 (/ 1 re))) |
(+.f64 #s(literal 1 binary64) re) |
(* re (+ 1 (/ 1 re))) |
(+.f64 #s(literal 1 binary64) re) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(* 1/2 (pow re 2)) |
(*.f64 (*.f64 re re) #s(literal 1/2 binary64)) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(* 1/2 re) |
(*.f64 #s(literal 1/2 binary64) re) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(* 1/6 (pow re 3)) |
(*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(* 1/6 (pow re 2)) |
(*.f64 (*.f64 re re) #s(literal 1/6 binary64)) |
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) |
(* 1/6 re) |
(*.f64 #s(literal 1/6 binary64) re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (exp.f64 re)) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(*.f64 (exp.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #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 (*.f64 (exp.f64 re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (exp.f64 re)) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(*.f64 (exp.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #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 (*.f64 (exp.f64 re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))) im) |
im |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) |
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #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 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (exp.f64 re)) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(*.f64 (exp.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #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 (*.f64 (exp.f64 re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (exp.f64 re)) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(*.f64 (exp.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #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 (*.f64 (exp.f64 re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (exp.f64 re)) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(*.f64 (exp.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #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 (*.f64 (exp.f64 re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))) im) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(sin im) |
(sin.f64 im) |
(sin im) |
(sin.f64 im) |
(sin im) |
(sin.f64 im) |
(sin im) |
(sin.f64 im) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(sin im) |
(sin.f64 im) |
(sin im) |
(sin.f64 im) |
(sin im) |
(sin.f64 im) |
(sin im) |
(sin.f64 im) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 128 |
| 0 | 43 | 128 |
| 1 | 128 | 128 |
| 2 | 826 | 128 |
| 0 | 8355 | 128 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
(*.f64 (exp.f64 re) im) |
(exp.f64 re) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
(sin.f64 im) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) |
(+.f64 #s(literal 1 binary64) re) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) |
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) |
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
| Outputs |
|---|
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Compiled 14 141 to 2 212 computations (84.4% saved)
17 alts after pruning (12 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 722 | 12 | 734 |
| Fresh | 2 | 0 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 725 | 17 | 742 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 40.5% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) | |
| ✓ | 61.1% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) |
| ▶ | 66.5% | (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)) |
| 60.8% | (*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) | |
| ✓ | 50.5% | (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
| 31.1% | (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) | |
| 14.8% | (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im)) | |
| ✓ | 68.4% | #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
| 38.8% | #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) | |
| 34.3% | #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) | |
| ▶ | 26.2% | #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
| ✓ | 50.2% | #s(approx (* (exp re) (sin im)) (sin.f64 im)) |
| ▶ | 33.3% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) |
| ▶ | 35.9% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) |
| 28.4% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) | |
| ▶ | 29.0% | #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
Compiled 301 to 258 computations (14.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 im #s(literal 3 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) | |
| cost-diff | 0 | #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) | |
| cost-diff | 0 | #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) | |
| cost-diff | 0 | (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im) | |
| cost-diff | 0 | #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)) | |
| cost-diff | 0 | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) | |
| cost-diff | 0 | (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im) | |
| cost-diff | 0 | #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)) | |
| cost-diff | 0 | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) | |
| cost-diff | 0 | #s(approx (exp re) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im) | |
| cost-diff | 0 | #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 276 |
| 0 | 62 | 276 |
| 1 | 100 | 276 |
| 2 | 153 | 276 |
| 3 | 347 | 276 |
| 4 | 734 | 276 |
| 5 | 1262 | 276 |
| 6 | 1443 | 276 |
| 7 | 1450 | 276 |
| 8 | 1450 | 276 |
| 0 | 1450 | 276 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)) |
#s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 re re) #s(literal 1/6 binary64)) |
(*.f64 re re) |
re |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(sin.f64 im) |
im |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) im) |
#s(approx (exp re) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
im |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) |
#s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)) |
(fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im) |
(fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) |
(*.f64 re im) |
re |
im |
#s(literal 1/2 binary64) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)) |
(fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im) |
(*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) |
im |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
re |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) |
(pow.f64 im #s(literal 3 binary64)) |
im |
#s(literal 3 binary64) |
#s(literal -1/6 binary64) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 (sin.f64 im) #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re #s(literal 1 binary64)))) |
#s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) |
#s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) |
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) |
(*.f64 (*.f64 re re) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re re)) |
(*.f64 re re) |
re |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(sin.f64 im) |
im |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) im) |
#s(approx (exp re) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
im |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im))) |
#s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)) |
#s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im)) |
(fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im) |
(fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im) |
(fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) |
(fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) |
(*.f64 re im) |
(*.f64 im re) |
re |
im |
#s(literal 1/2 binary64) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re im))) |
#s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)) |
#s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re im)) |
(fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re im) |
(*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) |
im |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
re |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im))) |
#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) |
#s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im) |
(pow.f64 im #s(literal 3 binary64)) |
im |
#s(literal 3 binary64) |
#s(literal -1/6 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (pow.f64 im #s(literal 3 binary64)) | |
| accuracy | 0.046875 | (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) | |
| accuracy | 30.879171474591125 | #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) | |
| accuracy | 31.854884396687368 | #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) | |
| accuracy | 0.1953125 | (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) | |
| accuracy | 3.6064096143805253 | (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) | |
| accuracy | 20.20737532401984 | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) | |
| accuracy | 21.50423233095729 | #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)) | |
| accuracy | 0.01171875 | (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) | |
| accuracy | 0.0546875 | (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im) | |
| accuracy | 20.20737532401984 | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) | |
| accuracy | 23.68338887323372 | #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)) | |
| accuracy | 0.015625 | (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im) | |
| accuracy | 20.20737532401984 | #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) | |
| accuracy | 32.01568903449349 | #s(approx (exp re) #s(literal 1 binary64)) | |
| accuracy | 0.05078125 | (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)) | |
| accuracy | 0.1953125 | (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) | |
| accuracy | 21.02212156592684 | #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) | |
| accuracy | 31.106722418546997 | #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) |
| 77.0ms | 256× | 0 | valid |
Compiled 363 to 64 computations (82.4% saved)
ival-mult: 27.0ms (47.4% of total)ival-add: 8.0ms (14% of total)const: 7.0ms (12.3% of total)ival-sin: 6.0ms (10.5% of total)ival-pow: 6.0ms (10.5% of total)ival-exp: 2.0ms (3.5% 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 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) (patch #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) (patch #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im) (patch (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im) #<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 (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) (patch #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)) (patch #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im) (patch (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) (patch (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) #<representation binary64>) () ()) |
#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) (patch #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)) (patch #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im) (patch (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im) #<representation binary64>) () ()) |
#s(alt (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) (patch (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (patch #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) #<representation binary64>) () ()) |
#s(alt #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) (patch #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (patch (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) #<representation binary64>) () ()) |
#s(alt (pow.f64 im #s(literal 3 binary64)) (patch (pow.f64 im #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) (patch (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (sin im) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) 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 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) 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 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) 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 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 re) (#s(alt #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 re) (taylor 0 re) (#s(alt #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (taylor 0 re) (#s(alt #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 re) (#s(alt (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 re) (taylor 0 re) (#s(alt (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) 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 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 re) (#s(alt #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) (patch #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 re)) (taylor 0 re) (#s(alt #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) (patch #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* re (+ 1/2 (* 1/6 re)))) (taylor 0 re) (#s(alt #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) (patch #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* re (+ 1/2 (* 1/6 re)))) (taylor 0 re) (#s(alt #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) (patch #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (sin im) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) (patch #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) (patch #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) (patch #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 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 #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) (patch #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #<representation binary64>) () ())) ()) |
#s(alt im (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im) (patch (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im) #<representation binary64>) () ())) ()) |
#s(alt (+ im (* im re)) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im) (patch (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im) #<representation binary64>) () ())) ()) |
#s(alt (+ im (* re (+ im (* 1/2 (* im re))))) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im) (patch (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im) #<representation binary64>) () ())) ()) |
#s(alt (+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im) (patch (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 re) (#s(alt #s(approx (exp re) #s(literal 1 binary64)) (patch #s(approx (exp re) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 re) (taylor 0 re) (#s(alt #s(approx (exp re) #s(literal 1 binary64)) (patch #s(approx (exp re) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt #s(approx (exp re) #s(literal 1 binary64)) (patch #s(approx (exp re) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (taylor 0 re) (#s(alt #s(approx (exp re) #s(literal 1 binary64)) (patch #s(approx (exp re) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (sin im) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) (patch #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) (patch #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) (patch #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re 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 #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) (patch #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) #<representation binary64>) () ())) ()) |
#s(alt im (taylor 0 re) (#s(alt #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)) (patch #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)) #<representation binary64>) () ())) ()) |
#s(alt (+ im (* im re)) (taylor 0 re) (#s(alt #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)) (patch #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)) #<representation binary64>) () ())) ()) |
#s(alt (+ im (* re (+ im (* 1/2 (* im re))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)) (patch #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)) #<representation binary64>) () ())) ()) |
#s(alt (+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)) (patch #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)) #<representation binary64>) () ())) ()) |
#s(alt im (taylor 0 re) (#s(alt (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im) (patch (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im) #<representation binary64>) () ())) ()) |
#s(alt (+ im (* im re)) (taylor 0 re) (#s(alt (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im) (patch (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im) #<representation binary64>) () ())) ()) |
#s(alt (+ im (* re (+ im (* 1/2 (* im re))))) (taylor 0 re) (#s(alt (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im) (patch (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im) #<representation binary64>) () ())) ()) |
#s(alt (+ im (* re (+ im (* 1/2 (* im re))))) (taylor 0 re) (#s(alt (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im) (patch (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im) #<representation binary64>) () ())) ()) |
#s(alt im (taylor 0 re) (#s(alt (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) (patch (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) #<representation binary64>) () ())) ()) |
#s(alt (+ im (* 1/2 (* im re))) (taylor 0 re) (#s(alt (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) (patch (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) #<representation binary64>) () ())) ()) |
#s(alt (+ im (* 1/2 (* im re))) (taylor 0 re) (#s(alt (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) (patch (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) #<representation binary64>) () ())) ()) |
#s(alt (+ im (* 1/2 (* im re))) (taylor 0 re) (#s(alt (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) (patch (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (patch (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (patch (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) #<representation binary64>) () ())) ()) |
#s(alt (pow im 3) (taylor -inf im) (#s(alt (pow.f64 im #s(literal 3 binary64)) (patch (pow.f64 im #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow im 3) (taylor -inf im) (#s(alt (pow.f64 im #s(literal 3 binary64)) (patch (pow.f64 im #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow im 3) (taylor -inf im) (#s(alt (pow.f64 im #s(literal 3 binary64)) (patch (pow.f64 im #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow im 3) (taylor -inf im) (#s(alt (pow.f64 im #s(literal 3 binary64)) (patch (pow.f64 im #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | im | @ | 0 | ((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* re im) 1/2) im) re) im) (+ (* (* re im) 1/2) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (* (exp re) (sin im)) (sin im) (+ (* (pow im 3) -1/6) im) (pow im 3) (* (* re re) 1/6) (+ (* 1/6 re) 1/2)) |
| 5.0ms | im | @ | -inf | ((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* re im) 1/2) im) re) im) (+ (* (* re im) 1/2) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (* (exp re) (sin im)) (sin im) (+ (* (pow im 3) -1/6) im) (pow im 3) (* (* re re) 1/6) (+ (* 1/6 re) 1/2)) |
| 3.0ms | im | @ | inf | ((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* re im) 1/2) im) re) im) (+ (* (* re im) 1/2) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (* (exp re) (sin im)) (sin im) (+ (* (pow im 3) -1/6) im) (pow im 3) (* (* re re) 1/6) (+ (* 1/6 re) 1/2)) |
| 2.0ms | re | @ | 0 | ((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* re im) 1/2) im) re) im) (+ (* (* re im) 1/2) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (* (exp re) (sin im)) (sin im) (+ (* (pow im 3) -1/6) im) (pow im 3) (* (* re re) 1/6) (+ (* 1/6 re) 1/2)) |
| 2.0ms | re | @ | inf | ((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* re im) 1/2) im) re) im) (+ (* (* re im) 1/2) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (* (exp re) (sin im)) (sin im) (+ (* (pow im 3) -1/6) im) (pow im 3) (* (* re re) 1/6) (+ (* 1/6 re) 1/2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 201 | 2946 |
| 1 | 660 | 2796 |
| 2 | 2129 | 2728 |
| 3 | 4994 | 2710 |
| 0 | 8786 | 2425 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sin im) |
(+ (sin im) (* re (sin im))) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
1 |
(+ 1 (* 1/2 re)) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
(+ 1 (* re (+ 1/2 (* 1/6 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))))))) |
im |
(+ im (* im re)) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 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))))))) |
im |
(+ im (* im re)) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) |
im |
(+ im (* im re)) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
im |
(+ im (* 1/2 (* im re))) |
(+ im (* 1/2 (* im re))) |
(+ im (* 1/2 (* im re))) |
(sin im) |
(+ (sin im) (* re (sin im))) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
im |
(+ im (* im re)) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) |
im |
(+ im (* im re)) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) |
im |
(+ im (* 1/2 (* im re))) |
(+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))) |
(+ im (* re (+ (* 1/6 (* im re)) (* 1/2 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))))))) |
(* 1/6 (pow re 2)) |
(* 1/6 (pow re 2)) |
(* 1/6 (pow re 2)) |
(* 1/6 (pow re 2)) |
1/2 |
(+ 1/2 (* 1/6 re)) |
(+ 1/2 (* 1/6 re)) |
(+ 1/2 (* 1/6 re)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(exp re) |
(exp re) |
(exp re) |
(exp 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 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))))) |
(* (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)) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(* (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)) |
(* 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 re)) |
(* re (+ (* 1/2 im) (/ im re))) |
(* re (+ (* 1/2 im) (/ im re))) |
(* re (+ (* 1/2 im) (/ im re))) |
(* (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)) |
(* 1/6 (* im (pow re 3))) |
(* (pow re 3) (+ (* 1/6 im) (* 1/2 (/ im re)))) |
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2))))) |
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (+ (/ im (pow re 2)) (/ im (pow re 3)))))) |
(* 1/6 (* im (pow re 2))) |
(* (pow re 2) (+ (* 1/6 im) (* 1/2 (/ im re)))) |
(* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2))))) |
(* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2))))) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* 1/6 (pow re 2)) |
(* 1/6 (pow re 2)) |
(* 1/6 (pow re 2)) |
(* 1/6 (pow re 2)) |
(* 1/6 re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(* 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))) |
(* 1/6 (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))))) |
(* (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)) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(* (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)) |
(* 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))) |
(* 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)))) |
(* (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)) |
(* 1/6 (* im (pow re 3))) |
(* -1 (* (pow re 3) (+ (* -1/2 (/ im re)) (* -1/6 im)))) |
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 im) (/ im re)) re)) (* -1/6 im)))) |
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)) re)) (* -1/6 im)))) |
(* 1/6 (* im (pow re 2))) |
(* (pow re 2) (+ (* 1/6 im) (* 1/2 (/ im re)))) |
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re)) (* 1/6 im))) |
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re)) (* 1/6 im))) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* 1/6 (pow re 2)) |
(* 1/6 (pow re 2)) |
(* 1/6 (pow re 2)) |
(* 1/6 (pow re 2)) |
(* 1/6 re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* im (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)))))))) |
(* 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)))))))) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* 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)))))))) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* im (+ 1 (* 1/2 re))) |
(* im (+ 1 (* 1/2 re))) |
(* im (+ 1 (* 1/2 re))) |
(* im (+ 1 (* 1/2 re))) |
(* 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)))))))) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* im (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)))))))) |
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)))) |
im |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(pow im 3) |
(pow im 3) |
(pow im 3) |
(pow im 3) |
(* (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)) |
(* (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 (+ 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 (* 1/2 re))) |
(* im (+ 1 (* 1/2 re))) |
(* im (+ 1 (* 1/2 re))) |
(* im (+ 1 (* 1/2 re))) |
(* (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 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(sin im) |
(sin im) |
(sin im) |
(sin im) |
(* -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)) |
(pow im 3) |
(pow im 3) |
(pow im 3) |
(pow im 3) |
(* (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)) |
(* (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)) |
(* -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))) |
(* -1 (* im (- (* -1/2 re) 1))) |
(* -1 (* im (- (* -1/2 re) 1))) |
(* -1 (* im (- (* -1/2 re) 1))) |
(* -1 (* im (- (* -1/2 re) 1))) |
(* (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)) |
(* -1 (* im (- (* -1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1))) |
(* -1 (* im (- (* -1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1))) |
(* -1 (* im (- (* -1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1))) |
(* -1 (* im (- (* -1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(sin im) |
(sin im) |
(sin im) |
(sin im) |
(* -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))))) |
(pow im 3) |
(pow im 3) |
(pow im 3) |
(pow im 3) |
| Outputs |
|---|
(sin im) |
(sin.f64 im) |
(+ (sin im) (* re (sin im))) |
(fma.f64 re (sin.f64 im) (sin.f64 im)) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
(fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 re)) |
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) |
(sin im) |
(sin.f64 im) |
(+ (sin im) (* re (sin im))) |
(fma.f64 re (sin.f64 im) (sin.f64 im)) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
(fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) |
im |
(+ im (* im re)) |
(fma.f64 re im im) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(sin im) |
(sin.f64 im) |
(+ (sin im) (* re (sin im))) |
(fma.f64 re (sin.f64 im) (sin.f64 im)) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
(fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) |
im |
(+ im (* im re)) |
(fma.f64 re im im) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
im |
(+ im (* im re)) |
(fma.f64 re im im) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
im |
(+ im (* 1/2 (* im re))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) |
(+ im (* 1/2 (* im re))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) |
(+ im (* 1/2 (* im re))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) |
(sin im) |
(sin.f64 im) |
(+ (sin im) (* re (sin im))) |
(fma.f64 re (sin.f64 im) (sin.f64 im)) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
(fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) |
im |
(+ im (* im re)) |
(fma.f64 re im im) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
im |
(+ im (* im re)) |
(fma.f64 re im im) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
im |
(+ im (* 1/2 (* im re))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) |
(+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) |
(+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) |
(sin im) |
(sin.f64 im) |
(+ (sin im) (* re (sin im))) |
(fma.f64 re (sin.f64 im) (sin.f64 im)) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
(fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) |
(* 1/6 (pow re 2)) |
(*.f64 (*.f64 re re) #s(literal 1/6 binary64)) |
(* 1/6 (pow re 2)) |
(*.f64 (*.f64 re re) #s(literal 1/6 binary64)) |
(* 1/6 (pow re 2)) |
(*.f64 (*.f64 re re) #s(literal 1/6 binary64)) |
(* 1/6 (pow re 2)) |
(*.f64 (*.f64 re re) #s(literal 1/6 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 re)) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 re)) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 re)) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(* 1/6 (pow re 3)) |
(*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(* 1/6 (pow re 2)) |
(*.f64 (*.f64 re re) #s(literal 1/6 binary64)) |
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* 1/2 (* im (pow re 2))) |
(*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) |
(* (pow re 2) (+ (* 1/2 im) (/ im re))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im) |
(* (pow re 2) (+ (* 1/2 im) (+ (/ im re) (/ im (pow re 2))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
(* (pow re 2) (+ (* 1/2 im) (+ (/ im re) (/ im (pow re 2))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
(* 1/2 (* im re)) |
(*.f64 (*.f64 re im) #s(literal 1/2 binary64)) |
(* re (+ (* 1/2 im) (/ im re))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) |
(* re (+ (* 1/2 im) (/ im re))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) |
(* re (+ (* 1/2 im) (/ im re))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* 1/6 (* im (pow re 3))) |
(*.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) im) #s(literal 1/6 binary64)) |
(* (pow re 3) (+ (* 1/6 im) (* 1/2 (/ im re)))) |
(*.f64 (*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re) |
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re) |
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (+ (/ im (pow re 2)) (/ im (pow re 3)))))) |
(*.f64 re (fma.f64 (fma.f64 im (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) (/.f64 im (pow.f64 re #s(literal 3 binary64)))) (*.f64 re re) im)) |
(* 1/6 (* im (pow re 2))) |
(*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64)) |
(* (pow re 2) (+ (* 1/6 im) (* 1/2 (/ im re)))) |
(*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) |
(* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) |
(* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* 1/6 (pow re 2)) |
(*.f64 (*.f64 re re) #s(literal 1/6 binary64)) |
(* 1/6 (pow re 2)) |
(*.f64 (*.f64 re re) #s(literal 1/6 binary64)) |
(* 1/6 (pow re 2)) |
(*.f64 (*.f64 re re) #s(literal 1/6 binary64)) |
(* 1/6 (pow re 2)) |
(*.f64 (*.f64 re re) #s(literal 1/6 binary64)) |
(* 1/6 re) |
(*.f64 #s(literal 1/6 binary64) re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(* 1/6 (pow re 3)) |
(*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) re) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) |
(*.f64 (-.f64 (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) re) re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) re)) re) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64))) |
(* 1/6 (pow re 2)) |
(*.f64 (*.f64 re re) #s(literal 1/6 binary64)) |
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* 1/2 (* im (pow re 2))) |
(*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) |
(* (pow re 2) (+ (* 1/2 im) (/ im re))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im) |
(* (pow re 2) (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
(* (pow re 2) (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
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(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* -1 (* im (- (* re (- (* -1/2 re) 1)) 1))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
(* -1 (* im (- (* re (- (* -1/2 re) 1)) 1))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
(* -1 (* im (- (* re (- (* -1/2 re) 1)) 1))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
(* -1 (* im (- (* re (- (* -1/2 re) 1)) 1))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
(* -1 (* im (- (* -1/2 re) 1))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) |
(* -1 (* im (- (* -1/2 re) 1))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) |
(* -1 (* im (- (* -1/2 re) 1))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) |
(* -1 (* im (- (* -1/2 re) 1))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* -1 (* im (- (* -1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
(* -1 (* im (- (* -1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
(* -1 (* im (- (* -1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
(* -1 (* im (- (* -1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (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 (pow im 3)) |
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) |
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) |
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) |
(pow im 3) |
(pow.f64 im #s(literal 3 binary64)) |
(pow im 3) |
(pow.f64 im #s(literal 3 binary64)) |
(pow im 3) |
(pow.f64 im #s(literal 3 binary64)) |
(pow im 3) |
(pow.f64 im #s(literal 3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 244 |
| 0 | 62 | 244 |
| 1 | 185 | 244 |
| 2 | 1121 | 244 |
| 0 | 8269 | 244 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)) |
#s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) im) |
#s(approx (exp re) #s(literal 1 binary64)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) |
#s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)) |
(fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im) |
(fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)) |
(fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im) |
(*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) |
(pow.f64 im #s(literal 3 binary64)) |
(*.f64 (*.f64 re re) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
| Outputs |
|---|
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Compiled 14 373 to 2 092 computations (85.4% saved)
27 alts after pruning (18 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 730 | 12 | 742 |
| Fresh | 1 | 6 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 732 | 27 | 759 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 40.5% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) | |
| ✓ | 61.1% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) |
| ✓ | 66.5% | (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)) |
| ▶ | 60.8% | (*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) |
| ✓ | 50.5% | (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
| 31.1% | (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) | |
| 14.8% | (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im)) | |
| ✓ | 68.4% | #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
| 38.8% | #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) | |
| ✓ | 26.2% | #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
| ✓ | 50.2% | #s(approx (* (exp re) (sin im)) (sin.f64 im)) |
| ✓ | 33.3% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) |
| 35.9% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))) | |
| ✓ | 35.9% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) |
| 35.9% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im))) | |
| ▶ | 31.2% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
| 33.0% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* re im) 1/2) im) (*.f64 (*.f64 re im) #s(literal 1/2 binary64))) re im))) | |
| 35.6% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im))) | |
| ▶ | 28.4% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) |
| ▶ | 12.1% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)))) |
| 12.1% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) | |
| ▶ | 13.6% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)))) |
| 13.6% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)))) | |
| 29.0% | #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im))) | |
| 29.0% | #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) | |
| 15.1% | #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* (pow im 3) -1/6) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
Compiled 564 to 452 computations (19.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 320 | (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) | |
| cost-diff | 320 | (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) | |
| cost-diff | 448 | (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) | |
| cost-diff | 1152 | (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re) | |
| cost-diff | 0 | #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)) | |
| cost-diff | 0 | #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))) | |
| cost-diff | 0 | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)) | |
| cost-diff | 0 | #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im))) | |
| cost-diff | 0 | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)))) | |
| cost-diff | 0 | (fma.f64 re im im) | |
| cost-diff | 0 | #s(approx (* (exp re) im) (fma.f64 re im im)) | |
| cost-diff | 0 | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) | |
| cost-diff | 0 | (fma.f64 re re #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) | |
| cost-diff | 1088 | (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 572 |
| 0 | 88 | 572 |
| 1 | 172 | 537 |
| 2 | 416 | 475 |
| 3 | 1188 | 457 |
| 4 | 2789 | 457 |
| 5 | 6770 | 457 |
| 0 | 8052 | 441 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) |
#s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) |
(/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64))) |
(fma.f64 re re #s(literal -1 binary64)) |
re |
#s(literal -1 binary64) |
(-.f64 re #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sin.f64 im) |
im |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) |
#s(approx (* (exp re) im) (fma.f64 re im im)) |
(fma.f64 re im im) |
re |
im |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)))) |
#s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im))) |
#s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) |
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
re |
#s(literal 1 binary64) |
im |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))) |
#s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
re |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
im |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im)) |
(fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im) |
(*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) |
im |
(fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1/36 binary64) (*.f64 re re)) |
#s(literal 1/36 binary64) |
(*.f64 re re) |
re |
(fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal -1/2 binary64) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.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 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) |
#s(approx (exp re) (-.f64 re #s(literal -1 binary64))) |
(/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64))) |
(-.f64 re #s(literal -1 binary64)) |
(fma.f64 re re #s(literal -1 binary64)) |
re |
#s(literal -1 binary64) |
(-.f64 re #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sin.f64 im) |
im |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im))) |
#s(approx (* (exp re) im) (fma.f64 re im im)) |
#s(approx (* (exp re) im) (fma.f64 im re im)) |
(fma.f64 re im im) |
(fma.f64 im re im) |
re |
im |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)))) |
#s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im))) |
#s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) |
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
re |
#s(literal 1 binary64) |
im |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))) |
#s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
re |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
im |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) re) re #s(literal -1/4 binary64)) (/.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 im re) im))) |
#s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im)) |
#s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) re) re #s(literal -1/4 binary64)) (/.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 im re) im)) |
(fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) re) re #s(literal -1/4 binary64)) (/.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 im re) im) |
(*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) |
(fma.f64 (*.f64 (/.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) im) (fma.f64 (*.f64 #s(literal 1/36 binary64) re) re #s(literal -1/4 binary64)) im) |
im |
(fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) re) re #s(literal -1/4 binary64)) (/.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) re) re #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/216 binary64) re #s(literal -1/72 binary64)) re #s(literal -1/24 binary64)) re #s(literal 1/8 binary64)) |
(*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) re #s(literal -1/72 binary64)) re) re) |
(*.f64 #s(literal 1/36 binary64) (*.f64 re re)) |
(*.f64 (*.f64 re re) #s(literal 1/36 binary64)) |
#s(literal 1/36 binary64) |
(*.f64 re re) |
re |
(fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal -1/2 binary64) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) |
(fma.f64 #s(literal 1/24 binary64) re #s(literal -1/8 binary64)) |
#s(literal 1/4 binary64) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.6064096143805253 | (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) | |
| accuracy | 20.04732256093337 | (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) | |
| accuracy | 20.20737532401984 | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) | |
| accuracy | 21.50423233095729 | #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im)) | |
| accuracy | 3.6064096143805253 | (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) | |
| accuracy | 20.20737532401984 | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)))) | |
| accuracy | 21.50423233095729 | #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))) | |
| accuracy | 30.442392276705814 | #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)) | |
| accuracy | 3.6137308415735707 | (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im) | |
| accuracy | 20.20737532401984 | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)))) | |
| accuracy | 23.68338887323372 | #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im))) | |
| accuracy | 30.561395888405073 | #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)) | |
| accuracy | 0 | (fma.f64 re im im) | |
| accuracy | 20.20737532401984 | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) | |
| accuracy | 28.545996820695695 | #s(approx (* (exp re) im) (fma.f64 re im im)) | |
| accuracy | 0 | (sin.f64 im) | |
| accuracy | 0.01171875 | (*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) | |
| accuracy | 13.525937608946428 | (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64))) | |
| accuracy | 31.591181092784495 | #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) |
| 224.0ms | 256× | 0 | valid |
Compiled 825 to 94 computations (88.6% saved)
ival-mult: 85.0ms (64.2% of total)const: 19.0ms (14.4% of total)ival-add: 13.0ms (9.8% of total)ival-sin: 6.0ms (4.5% of total)ival-div: 3.0ms (2.3% of total)ival-exp: 2.0ms (1.5% of total)ival-sub: 2.0ms (1.5% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64))) (patch (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (patch #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 re re #s(literal -1 binary64)) (patch (fma.f64 re re #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) (patch #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (exp re) im) (fma.f64 re im im)) (patch #s(approx (* (exp re) im) (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 (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)))) (patch #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im))) (patch #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)) (patch #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im) (patch (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im) #<representation binary64>) () ()) |
#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)))) (patch #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))) (patch #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)) (patch #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) (patch (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (patch (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (patch (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (patch (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) #<representation binary64>) () ()) |
#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) #<representation binary64>) () ()) |
#s(alt #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im)) (patch #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) (patch #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) #<representation binary64>) () ()) |
#s(alt (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) (patch (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 re) (#s(alt (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64))) (patch (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 re) (taylor 0 re) (#s(alt (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64))) (patch (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 re) (taylor 0 re) (#s(alt (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64))) (patch (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 re) (taylor 0 re) (#s(alt (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64))) (patch (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (sin im) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.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) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.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) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.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) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 re) (#s(alt #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (patch #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 re) (taylor 0 re) (#s(alt #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (patch #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (patch #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (taylor 0 re) (#s(alt #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (patch #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 re) (#s(alt (fma.f64 re re #s(literal -1 binary64)) (patch (fma.f64 re re #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (- (pow re 2) 1) (taylor 0 re) (#s(alt (fma.f64 re re #s(literal -1 binary64)) (patch (fma.f64 re re #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* im (exp re)) (taylor -inf im) (#s(alt #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im)) (patch #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im)) #<representation binary64>) () ())) ()) |
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im)) (patch #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) (patch #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) (patch #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) (patch #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) (patch #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) #<representation binary64>) () ())) ()) |
#s(alt (* im (+ 1 (/ (* re (- (* 1/36 (* (pow re 2) (- (* 1/6 re) 1/2))) (* 1/4 (- (* 1/6 re) 1/2)))) (pow (- (* 1/6 re) 1/2) 2)))) (taylor -inf im) (#s(alt (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) (patch (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* im (+ 1 (/ (* re (- (* 1/36 (* (pow re 2) (- (* 1/6 re) 1/2))) (* 1/4 (- (* 1/6 re) 1/2)))) (pow (- (* 1/6 re) 1/2) 2)))) (taylor -inf im) (#s(alt (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) (patch (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* im (+ 1 (/ (* re (- (* 1/36 (* (pow re 2) (- (* 1/6 re) 1/2))) (* 1/4 (- (* 1/6 re) 1/2)))) (pow (- (* 1/6 re) 1/2) 2)))) (taylor -inf im) (#s(alt (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) (patch (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* im (+ 1 (/ (* re (- (* 1/36 (* (pow re 2) (- (* 1/6 re) 1/2))) (* 1/4 (- (* 1/6 re) 1/2)))) (pow (- (* 1/6 re) 1/2) 2)))) (taylor -inf im) (#s(alt (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) (patch (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 87.0ms | im | @ | -inf | ((/ (+ (* re re) -1) (- re 1)) (* (exp re) (sin im)) (exp re) (+ (* re re) -1) (* (exp re) (sin im)) (* (exp re) im) (+ (* re im) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* re im) 1/2) im) re) im) (* (* (+ (* 1/2 re) 1) re) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (* (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) re) (/ (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (* (+ (* 1/6 re) -1/2) (+ (* 1/6 re) -1/2))) (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4) (sin im) (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) (* (exp re) im) (* (exp re) (sin im)) (* im (+ (* (/ (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (* (+ (* 1/6 re) -1/2) (+ (* 1/6 re) -1/2))) re) 1))) |
| 5.0ms | im | @ | 0 | ((/ (+ (* re re) -1) (- re 1)) (* (exp re) (sin im)) (exp re) (+ (* re re) -1) (* (exp re) (sin im)) (* (exp re) im) (+ (* re im) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* re im) 1/2) im) re) im) (* (* (+ (* 1/2 re) 1) re) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (* (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) re) (/ (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (* (+ (* 1/6 re) -1/2) (+ (* 1/6 re) -1/2))) (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4) (sin im) (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) (* (exp re) im) (* (exp re) (sin im)) (* im (+ (* (/ (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (* (+ (* 1/6 re) -1/2) (+ (* 1/6 re) -1/2))) re) 1))) |
| 4.0ms | im | @ | inf | ((/ (+ (* re re) -1) (- re 1)) (* (exp re) (sin im)) (exp re) (+ (* re re) -1) (* (exp re) (sin im)) (* (exp re) im) (+ (* re im) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* re im) 1/2) im) re) im) (* (* (+ (* 1/2 re) 1) re) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (* (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) re) (/ (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (* (+ (* 1/6 re) -1/2) (+ (* 1/6 re) -1/2))) (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4) (sin im) (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) (* (exp re) im) (* (exp re) (sin im)) (* im (+ (* (/ (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (* (+ (* 1/6 re) -1/2) (+ (* 1/6 re) -1/2))) re) 1))) |
| 4.0ms | re | @ | -inf | ((/ (+ (* re re) -1) (- re 1)) (* (exp re) (sin im)) (exp re) (+ (* re re) -1) (* (exp re) (sin im)) (* (exp re) im) (+ (* re im) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* re im) 1/2) im) re) im) (* (* (+ (* 1/2 re) 1) re) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (* (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) re) (/ (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (* (+ (* 1/6 re) -1/2) (+ (* 1/6 re) -1/2))) (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4) (sin im) (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) (* (exp re) im) (* (exp re) (sin im)) (* im (+ (* (/ (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (* (+ (* 1/6 re) -1/2) (+ (* 1/6 re) -1/2))) re) 1))) |
| 4.0ms | re | @ | inf | ((/ (+ (* re re) -1) (- re 1)) (* (exp re) (sin im)) (exp re) (+ (* re re) -1) (* (exp re) (sin im)) (* (exp re) im) (+ (* re im) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* re im) 1/2) im) re) im) (* (* (+ (* 1/2 re) 1) re) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (* (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) re) (/ (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (* (+ (* 1/6 re) -1/2) (+ (* 1/6 re) -1/2))) (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4) (sin im) (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) (* (exp re) im) (* (exp re) (sin im)) (* im (+ (* (/ (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (* (+ (* 1/6 re) -1/2) (+ (* 1/6 re) -1/2))) re) 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 249 | 4026 |
| 1 | 771 | 3776 |
| 2 | 2392 | 3715 |
| 3 | 5520 | 3627 |
| 0 | 8414 | 3249 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 re) |
(+ 1 re) |
(+ 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))))))) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
-1 |
(- (pow re 2) 1) |
(- (pow re 2) 1) |
(- (pow re 2) 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))))))) |
im |
(+ im (* im re)) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) |
im |
(+ im (* im re)) |
(+ im (* im re)) |
(+ im (* im re)) |
(sin im) |
(+ (sin im) (* re (sin im))) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
im |
(+ im (* im re)) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) |
im |
(+ im (* im re)) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(* im re) |
(* re (+ im (* 1/2 (* im re)))) |
(* re (+ im (* 1/2 (* im re)))) |
(* re (+ im (* 1/2 (* im re)))) |
(sin im) |
(+ (sin im) (* re (sin im))) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
im |
(+ im (* im re)) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) |
im |
(+ im (* im re)) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) |
(* im re) |
(* re (+ im (* 1/2 (* im re)))) |
(* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))) |
(* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))) |
1/2 |
(+ 1/2 (* 1/6 re)) |
(+ 1/2 (* 1/6 re)) |
(+ 1/2 (* 1/6 re)) |
1/8 |
(+ 1/8 (* -1/24 re)) |
(+ 1/8 (* re (- (* -1/72 re) 1/24))) |
(+ 1/8 (* re (- (* re (- (* 1/216 re) 1/72)) 1/24))) |
(* -1/72 (pow re 2)) |
(* (pow re 2) (- (* 1/216 re) 1/72)) |
(* (pow re 2) (- (* 1/216 re) 1/72)) |
(* (pow re 2) (- (* 1/216 re) 1/72)) |
-1/8 |
(- (* 1/24 re) 1/8) |
(- (* 1/24 re) 1/8) |
(- (* 1/24 re) 1/8) |
im |
(+ im (* 1/2 (* im re))) |
(+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))) |
(+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))) |
im |
(+ im (* im re)) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 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))))))) |
im |
(+ im (* 1/2 (* im re))) |
(+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))) |
(+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))) |
re |
(* re (+ 1 (/ 1 re))) |
(* re (+ 1 (/ 1 re))) |
(* re (+ 1 (/ 1 re))) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(pow re 2) |
(* (pow re 2) (- 1 (/ 1 (pow re 2)))) |
(* (pow re 2) (- 1 (/ 1 (pow re 2)))) |
(* (pow re 2) (- 1 (/ 1 (pow re 2)))) |
(* (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 re) |
(* re (+ im (/ im re))) |
(* re (+ im (/ im re))) |
(* re (+ im (/ im re))) |
(* (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)) |
(* 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) (+ (* 1/2 im) (/ im re))) |
(* (pow re 2) (+ (* 1/2 im) (/ im re))) |
(* (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)) |
(* 1/6 (* im (pow re 3))) |
(* (pow re 3) (+ (* 1/6 im) (* 1/2 (/ im re)))) |
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2))))) |
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (+ (/ im (pow re 2)) (/ im (pow re 3)))))) |
(* 1/6 (* im (pow re 3))) |
(* (pow re 3) (+ (* 1/6 im) (* 1/2 (/ im re)))) |
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2))))) |
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2))))) |
(* 1/6 re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* 1/216 (pow re 3)) |
(* (pow re 3) (- 1/216 (* 1/72 (/ 1 re)))) |
(* (pow re 3) (+ 1/216 (* -1 (/ (+ 1/72 (* 1/24 (/ 1 re))) re)))) |
(* (pow re 3) (- (+ 1/216 (* 1/8 (/ 1 (pow re 3)))) (+ (/ 1/24 (pow re 2)) (* 1/72 (/ 1 re))))) |
(* 1/216 (pow re 3)) |
(* (pow re 3) (- 1/216 (* 1/72 (/ 1 re)))) |
(* (pow re 3) (- 1/216 (* 1/72 (/ 1 re)))) |
(* (pow re 3) (- 1/216 (* 1/72 (/ 1 re)))) |
(* 1/24 re) |
(* re (- 1/24 (* 1/8 (/ 1 re)))) |
(* re (- 1/24 (* 1/8 (/ 1 re)))) |
(* re (- 1/24 (* 1/8 (/ 1 re)))) |
(* 1/6 (* im (pow re 2))) |
(* (pow re 2) (+ (* 1/6 im) (* 1/2 (/ im re)))) |
(* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2))))) |
(* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2))))) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* 1/6 (* im (pow re 2))) |
(* (pow re 2) (+ (* 1/6 im) (* 1/2 (/ im re)))) |
(* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2))))) |
(* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2))))) |
re |
(* re (+ 1 (/ 1 re))) |
(* re (+ 1 (/ 1 re))) |
(* re (+ 1 (/ 1 re))) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(pow re 2) |
(* (pow re 2) (- 1 (/ 1 (pow re 2)))) |
(* (pow re 2) (- 1 (/ 1 (pow re 2)))) |
(* (pow re 2) (- 1 (/ 1 (pow re 2)))) |
(* (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 re) |
(* -1 (* re (+ (* -1 im) (* -1 (/ im re))))) |
(* -1 (* re (+ (* -1 im) (* -1 (/ im re))))) |
(* -1 (* re (+ (* -1 im) (* -1 (/ im re))))) |
(* (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)) |
(* 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))) |
(* 1/2 (* im (pow re 2))) |
(* (pow re 2) (+ (* 1/2 im) (/ im re))) |
(* (pow re 2) (+ (* 1/2 im) (/ im re))) |
(* (pow re 2) (+ (* 1/2 im) (/ im re))) |
(* (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)) |
(* 1/6 (* im (pow re 3))) |
(* -1 (* (pow re 3) (+ (* -1/2 (/ im re)) (* -1/6 im)))) |
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 im) (/ im re)) re)) (* -1/6 im)))) |
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)) re)) (* -1/6 im)))) |
(* 1/6 (* im (pow re 3))) |
(* -1 (* (pow re 3) (+ (* -1/2 (/ im re)) (* -1/6 im)))) |
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 im) (/ im re)) re)) (* -1/6 im)))) |
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 im) (/ im re)) re)) (* -1/6 im)))) |
(* 1/6 re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* 1/216 (pow re 3)) |
(* -1 (* (pow re 3) (- (* 1/72 (/ 1 re)) 1/216))) |
(* -1 (* (pow re 3) (- (+ (/ 1/24 (pow re 2)) (* 1/72 (/ 1 re))) 1/216))) |
(* -1 (* (pow re 3) (- (* -1 (/ (- (* -1 (/ (- 1/24 (* 1/8 (/ 1 re))) re)) 1/72) re)) 1/216))) |
(* 1/216 (pow re 3)) |
(* -1 (* (pow re 3) (- (* 1/72 (/ 1 re)) 1/216))) |
(* -1 (* (pow re 3) (- (* 1/72 (/ 1 re)) 1/216))) |
(* -1 (* (pow re 3) (- (* 1/72 (/ 1 re)) 1/216))) |
(* 1/24 re) |
(* -1 (* re (- (* 1/8 (/ 1 re)) 1/24))) |
(* -1 (* re (- (* 1/8 (/ 1 re)) 1/24))) |
(* -1 (* re (- (* 1/8 (/ 1 re)) 1/24))) |
(* 1/6 (* im (pow re 2))) |
(* (pow re 2) (+ (* 1/6 im) (* 1/2 (/ im re)))) |
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re)) (* 1/6 im))) |
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re)) (* 1/6 im))) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* 1/6 (* im (pow re 2))) |
(* (pow re 2) (+ (* 1/6 im) (* 1/2 (/ im re)))) |
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re)) (* 1/6 im))) |
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re)) (* 1/6 im))) |
(* im (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)))))))) |
(* 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)))))))) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (+ 1 re)) |
(* im (+ 1 re)) |
(* im (+ 1 re)) |
(* im (+ 1 re)) |
(* im (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)))))))) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* im (* re (+ 1 (* 1/2 re)))) |
(* im (* re (+ 1 (* 1/2 re)))) |
(* im (* re (+ 1 (* 1/2 re)))) |
(* im (* re (+ 1 (* 1/2 re)))) |
(* 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)))))))) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* im (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(* im (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(* im (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(* im (* re (+ 1 (* re (+ 1/2 (* 1/6 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)))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* 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)))))))) |
(* im (+ 1 (/ (* re (- (* 1/36 (* (pow re 2) (- (* 1/6 re) 1/2))) (* 1/4 (- (* 1/6 re) 1/2)))) (pow (- (* 1/6 re) 1/2) 2)))) |
(* im (+ 1 (/ (* re (- (* 1/36 (* (pow re 2) (- (* 1/6 re) 1/2))) (* 1/4 (- (* 1/6 re) 1/2)))) (pow (- (* 1/6 re) 1/2) 2)))) |
(* im (+ 1 (/ (* re (- (* 1/36 (* (pow re 2) (- (* 1/6 re) 1/2))) (* 1/4 (- (* 1/6 re) 1/2)))) (pow (- (* 1/6 re) 1/2) 2)))) |
(* im (+ 1 (/ (* re (- (* 1/36 (* (pow re 2) (- (* 1/6 re) 1/2))) (* 1/4 (- (* 1/6 re) 1/2)))) (pow (- (* 1/6 re) 1/2) 2)))) |
(* (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 (+ 1 re)) |
(* im (+ 1 re)) |
(* im (+ 1 re)) |
(* im (+ 1 re)) |
(* (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 (+ 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 (* re (+ 1 (* 1/2 re)))) |
(* im (* re (+ 1 (* 1/2 re)))) |
(* im (* re (+ 1 (* 1/2 re)))) |
(* im (* re (+ 1 (* 1/2 re)))) |
(* (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 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* im (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(* im (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(* im (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(* im (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(sin im) |
(sin im) |
(sin im) |
(sin im) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* im (+ 1 (/ (* re (- (* 1/36 (* (pow re 2) (- (* 1/6 re) 1/2))) (* 1/4 (- (* 1/6 re) 1/2)))) (pow (- (* 1/6 re) 1/2) 2)))) |
(* im (+ 1 (/ (* re (- (* 1/36 (* (pow re 2) (- (* 1/6 re) 1/2))) (* 1/4 (- (* 1/6 re) 1/2)))) (pow (- (* 1/6 re) 1/2) 2)))) |
(* im (+ 1 (/ (* re (- (* 1/36 (* (pow re 2) (- (* 1/6 re) 1/2))) (* 1/4 (- (* 1/6 re) 1/2)))) (pow (- (* 1/6 re) 1/2) 2)))) |
(* im (+ 1 (/ (* re (- (* 1/36 (* (pow re 2) (- (* 1/6 re) 1/2))) (* 1/4 (- (* 1/6 re) 1/2)))) (pow (- (* 1/6 re) 1/2) 2)))) |
(* (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)) |
(* -1 (* im (- (* -1 re) 1))) |
(* -1 (* im (- (* -1 re) 1))) |
(* -1 (* im (- (* -1 re) 1))) |
(* -1 (* im (- (* -1 re) 1))) |
(* (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)) |
(* -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 (* re (+ 1 (* 1/2 re)))) |
(* im (* re (+ 1 (* 1/2 re)))) |
(* im (* re (+ 1 (* 1/2 re)))) |
(* im (* re (+ 1 (* 1/2 re)))) |
(* (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)) |
(* -1 (* im (- (* -1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1))) |
(* -1 (* im (- (* -1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1))) |
(* -1 (* im (- (* -1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1))) |
(* -1 (* im (- (* -1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1))) |
(* im (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(* im (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(* im (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(* im (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(sin im) |
(sin im) |
(sin im) |
(sin im) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* im (+ 1 (/ (* re (- (* 1/36 (* (pow re 2) (- (* 1/6 re) 1/2))) (* 1/4 (- (* 1/6 re) 1/2)))) (pow (- (* 1/6 re) 1/2) 2)))) |
(* im (+ 1 (/ (* re (- (* 1/36 (* (pow re 2) (- (* 1/6 re) 1/2))) (* 1/4 (- (* 1/6 re) 1/2)))) (pow (- (* 1/6 re) 1/2) 2)))) |
(* im (+ 1 (/ (* re (- (* 1/36 (* (pow re 2) (- (* 1/6 re) 1/2))) (* 1/4 (- (* 1/6 re) 1/2)))) (pow (- (* 1/6 re) 1/2) 2)))) |
(* im (+ 1 (/ (* re (- (* 1/36 (* (pow re 2) (- (* 1/6 re) 1/2))) (* 1/4 (- (* 1/6 re) 1/2)))) (pow (- (* 1/6 re) 1/2) 2)))) |
| Outputs |
|---|
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)) |
(sin im) |
(sin.f64 im) |
(+ (sin im) (* re (sin im))) |
(fma.f64 (sin.f64 im) re (sin.f64 im)) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
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(sin im) |
(sin.f64 im) |
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(sin im) |
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(sin im) |
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#s(literal 1/8 binary64) |
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(pow re 2) |
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(*.f64 (exp.f64 re) im) |
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(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) |
(*.f64 (exp.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (exp.f64 re) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))) (*.f64 (exp.f64 re) 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 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (exp.f64 re) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (exp.f64 re))) im) |
(* im (+ 1 (/ (* re (- (* 1/36 (* (pow re 2) (- (* 1/6 re) 1/2))) (* 1/4 (- (* 1/6 re) 1/2)))) (pow (- (* 1/6 re) 1/2) 2)))) |
(fma.f64 (*.f64 im re) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) im) |
(* im (+ 1 (/ (* re (- (* 1/36 (* (pow re 2) (- (* 1/6 re) 1/2))) (* 1/4 (- (* 1/6 re) 1/2)))) (pow (- (* 1/6 re) 1/2) 2)))) |
(fma.f64 (*.f64 im re) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) im) |
(* im (+ 1 (/ (* re (- (* 1/36 (* (pow re 2) (- (* 1/6 re) 1/2))) (* 1/4 (- (* 1/6 re) 1/2)))) (pow (- (* 1/6 re) 1/2) 2)))) |
(fma.f64 (*.f64 im re) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) im) |
(* im (+ 1 (/ (* re (- (* 1/36 (* (pow re 2) (- (* 1/6 re) 1/2))) (* 1/4 (- (* 1/6 re) 1/2)))) (pow (- (* 1/6 re) 1/2) 2)))) |
(fma.f64 (*.f64 im re) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) im) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 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) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
(* im (* re (+ 1 (* 1/2 re)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re) |
(* im (* re (+ 1 (* 1/2 re)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re) |
(* im (* re (+ 1 (* 1/2 re)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re) |
(* im (* re (+ 1 (* 1/2 re)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
(* im (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im) |
(* im (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im) |
(* im (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im) |
(* im (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im) |
(sin im) |
(sin.f64 im) |
(sin im) |
(sin.f64 im) |
(sin im) |
(sin.f64 im) |
(sin im) |
(sin.f64 im) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* im (+ 1 (/ (* re (- (* 1/36 (* (pow re 2) (- (* 1/6 re) 1/2))) (* 1/4 (- (* 1/6 re) 1/2)))) (pow (- (* 1/6 re) 1/2) 2)))) |
(fma.f64 (*.f64 im re) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) im) |
(* im (+ 1 (/ (* re (- (* 1/36 (* (pow re 2) (- (* 1/6 re) 1/2))) (* 1/4 (- (* 1/6 re) 1/2)))) (pow (- (* 1/6 re) 1/2) 2)))) |
(fma.f64 (*.f64 im re) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) im) |
(* im (+ 1 (/ (* re (- (* 1/36 (* (pow re 2) (- (* 1/6 re) 1/2))) (* 1/4 (- (* 1/6 re) 1/2)))) (pow (- (* 1/6 re) 1/2) 2)))) |
(fma.f64 (*.f64 im re) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) im) |
(* im (+ 1 (/ (* re (- (* 1/36 (* (pow re 2) (- (* 1/6 re) 1/2))) (* 1/4 (- (* 1/6 re) 1/2)))) (pow (- (* 1/6 re) 1/2) 2)))) |
(fma.f64 (*.f64 im re) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) im) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* -1 (* im (- (* -1 re) 1))) |
(fma.f64 im re im) |
(* -1 (* im (- (* -1 re) 1))) |
(fma.f64 im re im) |
(* -1 (* im (- (* -1 re) 1))) |
(fma.f64 im re im) |
(* -1 (* im (- (* -1 re) 1))) |
(fma.f64 im re im) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* -1 (* im (- (* re (- (* -1/2 re) 1)) 1))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal -1 binary64)) re) (neg.f64 im) im) |
(* -1 (* im (- (* re (- (* -1/2 re) 1)) 1))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal -1 binary64)) re) (neg.f64 im) im) |
(* -1 (* im (- (* re (- (* -1/2 re) 1)) 1))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal -1 binary64)) re) (neg.f64 im) im) |
(* -1 (* im (- (* re (- (* -1/2 re) 1)) 1))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal -1 binary64)) re) (neg.f64 im) im) |
(* im (* re (+ 1 (* 1/2 re)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re) |
(* im (* re (+ 1 (* 1/2 re)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re) |
(* im (* re (+ 1 (* 1/2 re)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re) |
(* im (* re (+ 1 (* 1/2 re)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* -1 (* im (- (* -1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
(* -1 (* im (- (* -1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
(* -1 (* im (- (* -1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
(* -1 (* im (- (* -1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
(* im (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im) |
(* im (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im) |
(* im (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im) |
(* im (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im) |
(sin im) |
(sin.f64 im) |
(sin im) |
(sin.f64 im) |
(sin im) |
(sin.f64 im) |
(sin im) |
(sin.f64 im) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(* im (+ 1 (/ (* re (- (* 1/36 (* (pow re 2) (- (* 1/6 re) 1/2))) (* 1/4 (- (* 1/6 re) 1/2)))) (pow (- (* 1/6 re) 1/2) 2)))) |
(fma.f64 (*.f64 im re) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) im) |
(* im (+ 1 (/ (* re (- (* 1/36 (* (pow re 2) (- (* 1/6 re) 1/2))) (* 1/4 (- (* 1/6 re) 1/2)))) (pow (- (* 1/6 re) 1/2) 2)))) |
(fma.f64 (*.f64 im re) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) im) |
(* im (+ 1 (/ (* re (- (* 1/36 (* (pow re 2) (- (* 1/6 re) 1/2))) (* 1/4 (- (* 1/6 re) 1/2)))) (pow (- (* 1/6 re) 1/2) 2)))) |
(fma.f64 (*.f64 im re) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) im) |
(* im (+ 1 (/ (* re (- (* 1/36 (* (pow re 2) (- (* 1/6 re) 1/2))) (* 1/4 (- (* 1/6 re) 1/2)))) (pow (- (* 1/6 re) 1/2) 2)))) |
(fma.f64 (*.f64 im re) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) im) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 440 |
| 0 | 88 | 408 |
| 1 | 329 | 373 |
| 2 | 2562 | 325 |
| 0 | 8422 | 318 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64))) |
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) |
#s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) |
(fma.f64 re re #s(literal -1 binary64)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) |
#s(approx (* (exp re) im) (fma.f64 re im im)) |
(fma.f64 re im im) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)))) |
#s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im))) |
#s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))) |
#s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) |
(sin.f64 im) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) |
#s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
(*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) |
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Compiled 25 586 to 4 049 computations (84.2% saved)
37 alts after pruning (26 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 000 | 17 | 1 017 |
| Fresh | 4 | 9 | 13 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 9 | 9 |
| Total | 1 007 | 37 | 1 044 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 40.5% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) | |
| ✓ | 61.1% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) |
| ✓ | 66.5% | (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)) |
| 57.2% | (*.f64 #s(approx (exp re) (/.f64 #s(approx (+ (* re re) -1) #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) | |
| ✓ | 50.5% | (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
| 14.8% | (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im)) | |
| ✓ | 68.4% | #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
| 38.8% | #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) | |
| ✓ | 26.2% | #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
| ✓ | 50.2% | #s(approx (* (exp re) (sin im)) (sin.f64 im)) |
| ✓ | 33.3% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) |
| ✓ | 35.9% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) |
| 31.2% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) (*.f64 #s(literal 1/36 binary64) re)) re (fma.f64 #s(literal -1/72 binary64) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) | |
| 35.9% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im))) | |
| 31.6% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) | |
| 31.1% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) #s(approx (* (+ (* 1/6 re) -1/2) 1/4) #s(literal -1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) | |
| 31.2% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/216 binary64) re #s(literal -1/72 binary64)) re #s(literal -1/24 binary64)) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) | |
| 27.2% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 (fma.f64 #s(literal -1/72 binary64) re #s(literal -1/24 binary64)) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) | |
| 28.7% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 #s(literal -1/24 binary64) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) | |
| 35.9% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (/ (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (* (+ (* 1/6 re) -1/2) (+ (* 1/6 re) -1/2))) re) 1)) (fma.f64 (*.f64 im re) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) im)) re im))) | |
| 35.6% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im))) | |
| ✓ | 28.4% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) |
| 28.4% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (+.f64 (*.f64 im re) im))) | |
| 11.0% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) | |
| 12.1% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) | |
| 11.0% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/2 binary64))))) | |
| 6.2% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) re) im) (*.f64 im re))))) | |
| 12.1% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (/.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) im) re)))) | |
| 13.6% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re)))) | |
| 16.5% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im)))) | |
| ✓ | 13.6% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)))) |
| 13.6% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)))) | |
| 13.4% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 #s(approx (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re)))) | |
| 29.0% | #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im))) | |
| 29.0% | #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) | |
| 15.1% | #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* (pow im 3) -1/6) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
Compiled 1 308 to 694 computations (46.9% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) re) im) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (+.f64 (*.f64 im re) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/2 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) 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 (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* re im) 1/2) im) (*.f64 (*.f64 re im) #s(literal 1/2 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 #s(approx (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (/ (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (* (+ (* 1/6 re) -1/2) (+ (* 1/6 re) -1/2))) re) 1)) (fma.f64 (*.f64 im re) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) im)) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 #s(literal -1/24 binary64) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 (fma.f64 #s(literal -1/72 binary64) re #s(literal -1/24 binary64)) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/216 binary64) re #s(literal -1/72 binary64)) re #s(literal -1/24 binary64)) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) #s(approx (* (+ (* 1/6 re) -1/2) 1/4) #s(literal -1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (/.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) (*.f64 #s(literal 1/36 binary64) re)) re (fma.f64 #s(literal -1/72 binary64) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* (pow im 3) -1/6) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (/.f64 #s(approx (+ (* re re) -1) #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (fma.f64 re (sin.f64 im) (sin.f64 im))) |
| Outputs |
|---|
(*.f64 (exp.f64 re) (sin.f64 im)) |
5 calls:
| 39.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 38.0ms | re |
| 18.0ms | (sin.f64 im) |
| 14.0ms | 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 11 to 15 computations (-36.4% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) re) im) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (+.f64 (*.f64 im re) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/2 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) 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 (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* re im) 1/2) im) (*.f64 (*.f64 re im) #s(literal 1/2 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 #s(approx (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (/ (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (* (+ (* 1/6 re) -1/2) (+ (* 1/6 re) -1/2))) re) 1)) (fma.f64 (*.f64 im re) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) im)) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 #s(literal -1/24 binary64) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 (fma.f64 #s(literal -1/72 binary64) re #s(literal -1/24 binary64)) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/216 binary64) re #s(literal -1/72 binary64)) re #s(literal -1/24 binary64)) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) #s(approx (* (+ (* 1/6 re) -1/2) 1/4) #s(literal -1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (/.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) (*.f64 #s(literal 1/36 binary64) re)) re (fma.f64 #s(literal -1/72 binary64) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* (pow im 3) -1/6) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (/.f64 #s(approx (+ (* re re) -1) #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im)) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
(*.f64 #s(approx (exp re) (/.f64 #s(approx (+ (* re re) -1) #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
5 calls:
| 63.0ms | (exp.f64 re) |
| 46.0ms | im |
| 16.0ms | re |
| 14.0ms | (sin.f64 im) |
| 12.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 4 | re |
| 85.1% | 2 | im |
| 99.6% | 5 | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 93.7% | 3 | (exp.f64 re) |
| 85.6% | 3 | (sin.f64 im) |
Compiled 11 to 15 computations (-36.4% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) re) im) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (+.f64 (*.f64 im re) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/2 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) 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 (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* re im) 1/2) im) (*.f64 (*.f64 re im) #s(literal 1/2 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 #s(approx (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (/ (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (* (+ (* 1/6 re) -1/2) (+ (* 1/6 re) -1/2))) re) 1)) (fma.f64 (*.f64 im re) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) im)) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 #s(literal -1/24 binary64) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 (fma.f64 #s(literal -1/72 binary64) re #s(literal -1/24 binary64)) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/216 binary64) re #s(literal -1/72 binary64)) re #s(literal -1/24 binary64)) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) #s(approx (* (+ (* 1/6 re) -1/2) 1/4) #s(literal -1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (/.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) (*.f64 #s(literal 1/36 binary64) re)) re (fma.f64 #s(literal -1/72 binary64) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* (pow im 3) -1/6) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (/.f64 #s(approx (+ (* re re) -1) #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
1 calls:
| 11.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 4 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 5 to 5 computations (0% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) re) im) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (+.f64 (*.f64 im re) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/2 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) 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 (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* re im) 1/2) im) (*.f64 (*.f64 re im) #s(literal 1/2 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 #s(approx (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (/ (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (* (+ (* 1/6 re) -1/2) (+ (* 1/6 re) -1/2))) re) 1)) (fma.f64 (*.f64 im re) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) im)) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 #s(literal -1/24 binary64) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 (fma.f64 #s(literal -1/72 binary64) re #s(literal -1/24 binary64)) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/216 binary64) re #s(literal -1/72 binary64)) re #s(literal -1/24 binary64)) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) #s(approx (* (+ (* 1/6 re) -1/2) 1/4) #s(literal -1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (/.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) (*.f64 #s(literal 1/36 binary64) re)) re (fma.f64 #s(literal -1/72 binary64) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* (pow im 3) -1/6) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (/.f64 #s(approx (+ (* re re) -1) #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
1 calls:
| 11.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 4 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 5 to 5 computations (0% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) re) im) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (+.f64 (*.f64 im re) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/2 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) 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 (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* re im) 1/2) im) (*.f64 (*.f64 re im) #s(literal 1/2 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 #s(approx (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (/ (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (* (+ (* 1/6 re) -1/2) (+ (* 1/6 re) -1/2))) re) 1)) (fma.f64 (*.f64 im re) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) im)) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 #s(literal -1/24 binary64) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 (fma.f64 #s(literal -1/72 binary64) re #s(literal -1/24 binary64)) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/216 binary64) re #s(literal -1/72 binary64)) re #s(literal -1/24 binary64)) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) #s(approx (* (+ (* 1/6 re) -1/2) 1/4) #s(literal -1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (/.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) (*.f64 #s(literal 1/36 binary64) re)) re (fma.f64 #s(literal -1/72 binary64) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* (pow im 3) -1/6) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (/.f64 #s(approx (+ (* re re) -1) #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
(*.f64 #s(approx (exp re) (/.f64 #s(approx (+ (* re re) -1) #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
2 calls:
| 14.0ms | re |
| 11.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.1% | 4 | re |
| 98.1% | 5 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 6 to 7 computations (-16.7% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) re) im) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (+.f64 (*.f64 im re) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/2 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) 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 (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* re im) 1/2) im) (*.f64 (*.f64 re im) #s(literal 1/2 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 #s(approx (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (/ (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (* (+ (* 1/6 re) -1/2) (+ (* 1/6 re) -1/2))) re) 1)) (fma.f64 (*.f64 im re) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) im)) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 #s(literal -1/24 binary64) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 (fma.f64 #s(literal -1/72 binary64) re #s(literal -1/24 binary64)) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/216 binary64) re #s(literal -1/72 binary64)) re #s(literal -1/24 binary64)) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) #s(approx (* (+ (* 1/6 re) -1/2) 1/4) #s(literal -1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (/.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) (*.f64 #s(literal 1/36 binary64) re)) re (fma.f64 #s(literal -1/72 binary64) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* (pow im 3) -1/6) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
1 calls:
| 37.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 5 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 5 to 5 computations (0% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) re) im) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (+.f64 (*.f64 im re) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/2 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) 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 (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* re im) 1/2) im) (*.f64 (*.f64 re im) #s(literal 1/2 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 #s(approx (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (/ (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (* (+ (* 1/6 re) -1/2) (+ (* 1/6 re) -1/2))) re) 1)) (fma.f64 (*.f64 im re) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) im)) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 #s(literal -1/24 binary64) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 (fma.f64 #s(literal -1/72 binary64) re #s(literal -1/24 binary64)) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/216 binary64) re #s(literal -1/72 binary64)) re #s(literal -1/24 binary64)) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) #s(approx (* (+ (* 1/6 re) -1/2) 1/4) #s(literal -1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (/.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) (*.f64 #s(literal 1/36 binary64) re)) re (fma.f64 #s(literal -1/72 binary64) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* (pow im 3) -1/6) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
1 calls:
| 11.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 5 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 5 to 5 computations (0% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) re) im) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (+.f64 (*.f64 im re) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/2 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) 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 (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* re im) 1/2) im) (*.f64 (*.f64 re im) #s(literal 1/2 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 #s(approx (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (/ (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (* (+ (* 1/6 re) -1/2) (+ (* 1/6 re) -1/2))) re) 1)) (fma.f64 (*.f64 im re) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) im)) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 #s(literal -1/24 binary64) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 (fma.f64 #s(literal -1/72 binary64) re #s(literal -1/24 binary64)) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/216 binary64) re #s(literal -1/72 binary64)) re #s(literal -1/24 binary64)) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) #s(approx (* (+ (* 1/6 re) -1/2) 1/4) #s(literal -1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (/.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) (*.f64 #s(literal 1/36 binary64) re)) re (fma.f64 #s(literal -1/72 binary64) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* (pow im 3) -1/6) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im)) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im)) |
2 calls:
| 25.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 16.0ms | re |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.0% | 4 | re |
| 96.2% | 5 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 6 to 7 computations (-16.7% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) re) im) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (+.f64 (*.f64 im re) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/2 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) 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 (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* re im) 1/2) im) (*.f64 (*.f64 re im) #s(literal 1/2 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 #s(approx (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (/ (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (* (+ (* 1/6 re) -1/2) (+ (* 1/6 re) -1/2))) re) 1)) (fma.f64 (*.f64 im re) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) im)) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 #s(literal -1/24 binary64) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 (fma.f64 #s(literal -1/72 binary64) re #s(literal -1/24 binary64)) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/216 binary64) re #s(literal -1/72 binary64)) re #s(literal -1/24 binary64)) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) #s(approx (* (+ (* 1/6 re) -1/2) 1/4) #s(literal -1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (/.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) (*.f64 #s(literal 1/36 binary64) re)) re (fma.f64 #s(literal -1/72 binary64) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* (pow im 3) -1/6) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* (pow im 3) -1/6) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
3 calls:
| 37.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 11.0ms | re |
| 11.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.8% | 5 | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 92.5% | 3 | (exp.f64 re) |
| 92.5% | 3 | re |
Compiled 8 to 10 computations (-25% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) re) im) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (+.f64 (*.f64 im re) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/2 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) 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 (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* re im) 1/2) im) (*.f64 (*.f64 re im) #s(literal 1/2 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 #s(approx (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (/ (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (* (+ (* 1/6 re) -1/2) (+ (* 1/6 re) -1/2))) re) 1)) (fma.f64 (*.f64 im re) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) im)) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 #s(literal -1/24 binary64) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 (fma.f64 #s(literal -1/72 binary64) re #s(literal -1/24 binary64)) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/216 binary64) re #s(literal -1/72 binary64)) re #s(literal -1/24 binary64)) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) #s(approx (* (+ (* 1/6 re) -1/2) 1/4) #s(literal -1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (/.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) (*.f64 #s(literal 1/36 binary64) re)) re (fma.f64 #s(literal -1/72 binary64) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* (pow im 3) -1/6) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* (pow im 3) -1/6) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
3 calls:
| 15.0ms | re |
| 10.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 8.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.2% | 3 | re |
| 92.2% | 3 | (exp.f64 re) |
| 95.6% | 5 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 8 to 10 computations (-25% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) re) im) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (+.f64 (*.f64 im re) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/2 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) 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 (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* re im) 1/2) im) (*.f64 (*.f64 re im) #s(literal 1/2 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 #s(approx (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (/ (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (* (+ (* 1/6 re) -1/2) (+ (* 1/6 re) -1/2))) re) 1)) (fma.f64 (*.f64 im re) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) im)) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 #s(literal -1/24 binary64) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 (fma.f64 #s(literal -1/72 binary64) re #s(literal -1/24 binary64)) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/216 binary64) re #s(literal -1/72 binary64)) re #s(literal -1/24 binary64)) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) #s(approx (* (+ (* 1/6 re) -1/2) 1/4) #s(literal -1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (/.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) (*.f64 #s(literal 1/36 binary64) re)) re (fma.f64 #s(literal -1/72 binary64) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
1 calls:
| 9.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.6% | 5 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 5 to 5 computations (0% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) re) im) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (+.f64 (*.f64 im re) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/2 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) 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 (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* re im) 1/2) im) (*.f64 (*.f64 re im) #s(literal 1/2 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 #s(approx (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (/ (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (* (+ (* 1/6 re) -1/2) (+ (* 1/6 re) -1/2))) re) 1)) (fma.f64 (*.f64 im re) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) im)) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 #s(literal -1/24 binary64) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 (fma.f64 #s(literal -1/72 binary64) re #s(literal -1/24 binary64)) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/216 binary64) re #s(literal -1/72 binary64)) re #s(literal -1/24 binary64)) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) #s(approx (* (+ (* 1/6 re) -1/2) 1/4) #s(literal -1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (/.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) (*.f64 #s(literal 1/36 binary64) re)) re (fma.f64 #s(literal -1/72 binary64) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
5 calls:
| 41.0ms | (sin.f64 im) |
| 25.0ms | im |
| 14.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 10.0ms | re |
| 10.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.2% | 3 | (sin.f64 im) |
| 58.1% | 2 | im |
| 63.3% | 2 | re |
| 63.3% | 2 | (exp.f64 re) |
| 66.3% | 3 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 11 to 15 computations (-36.4% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) re) im) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (+.f64 (*.f64 im re) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/2 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) 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 (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* re im) 1/2) im) (*.f64 (*.f64 re im) #s(literal 1/2 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 #s(approx (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (/ (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (* (+ (* 1/6 re) -1/2) (+ (* 1/6 re) -1/2))) re) 1)) (fma.f64 (*.f64 im re) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) im)) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 #s(literal -1/24 binary64) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 (fma.f64 #s(literal -1/72 binary64) re #s(literal -1/24 binary64)) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(approx (- (* (* 1/36 (* re re)) (+ (* 1/6 re) -1/2)) (* (+ (* 1/6 re) -1/2) 1/4)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/216 binary64) re #s(literal -1/72 binary64)) re #s(literal -1/24 binary64)) re #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) #s(approx (* (+ (* 1/6 re) -1/2) 1/4) #s(literal -1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (/.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) (*.f64 #s(literal 1/36 binary64) re)) re (fma.f64 #s(literal -1/72 binary64) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im))) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
5 calls:
| 31.0ms | re |
| 12.0ms | im |
| 10.0ms | (sin.f64 im) |
| 9.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 7.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.5% | 2 | (sin.f64 im) |
| 38.8% | 1 | im |
| 38.8% | 1 | re |
| 38.8% | 1 | (exp.f64 re) |
| 42.9% | 2 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 11 to 15 computations (-36.4% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) re) im) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (+.f64 (*.f64 im re) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/2 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) 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 (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* re im) 1/2) im) (*.f64 (*.f64 re im) #s(literal 1/2 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 #s(approx (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im)))) |
1 calls:
| 6.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.6% | 2 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 5 to 5 computations (0% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) re) im) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (+.f64 (*.f64 im re) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/2 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) 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 (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* re im) 1/2) im) (*.f64 (*.f64 re im) #s(literal 1/2 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 #s(approx (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)))) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)))) |
5 calls:
| 15.0ms | (exp.f64 re) |
| 8.0ms | (sin.f64 im) |
| 6.0ms | im |
| 5.0ms | re |
| 5.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.6% | 1 | re |
| 35.6% | 1 | (exp.f64 re) |
| 35.6% | 1 | im |
| 39.4% | 2 | (sin.f64 im) |
| 39.9% | 2 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 11 to 15 computations (-36.4% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) re) im) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (+.f64 (*.f64 im re) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/2 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) 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 (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* re im) 1/2) im) (*.f64 (*.f64 re im) #s(literal 1/2 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 #s(approx (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re)))) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 #s(approx (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re)))) |
1 calls:
| 4.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.7% | 2 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 5 to 5 computations (0% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) re) im) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (+.f64 (*.f64 im re) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/2 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) 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 (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* re im) 1/2) im) (*.f64 (*.f64 re im) #s(literal 1/2 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
2 calls:
| 5.0ms | (sin.f64 im) |
| 4.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.1% | 2 | (sin.f64 im) |
| 38.4% | 2 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 7 to 8 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) re) im) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (+.f64 (*.f64 im re) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/2 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) 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 (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* re im) 1/2) im) (*.f64 (*.f64 re im) #s(literal 1/2 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) |
1 calls:
| 4.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.3% | 2 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 5 to 5 computations (0% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) re) im) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (+.f64 (*.f64 im re) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/2 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) |
5 calls:
| 13.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 3.0ms | (sin.f64 im) |
| 3.0ms | im |
| 3.0ms | re |
| 2.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 34.6% | 2 | re |
| 34.6% | 2 | (exp.f64 re) |
| 30.1% | 2 | im |
| 30.0% | 2 | (sin.f64 im) |
| 34.7% | 2 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 11 to 15 computations (-36.4% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) re) im) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (+.f64 (*.f64 im re) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/2 binary64))))) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/2 binary64))))) |
3 calls:
| 3.0ms | (exp.f64 re) |
| 2.0ms | re |
| 2.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 33.5% | 2 | re |
| 33.5% | 2 | (exp.f64 re) |
| 33.6% | 2 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 8 to 10 computations (-25% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) re) im) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (+.f64 (*.f64 im re) im))) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) |
5 calls:
| 2.0ms | (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 |
|---|---|---|
| 28.4% | 1 | (sin.f64 im) |
| 28.4% | 1 | im |
| 28.4% | 1 | re |
| 28.4% | 1 | (exp.f64 re) |
| 28.4% | 1 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 11 to 15 computations (-36.4% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) re) im) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) re) im) (*.f64 im re))))) |
5 calls:
| 23.0ms | (exp.f64 re) |
| 2.0ms | (sin.f64 im) |
| 2.0ms | re |
| 2.0ms | im |
| 1.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.6% | 2 | im |
| 28.6% | 2 | re |
| 28.6% | 2 | (exp.f64 re) |
| 28.2% | 2 | (sin.f64 im) |
| 28.7% | 2 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 11 to 15 computations (-36.4% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) re) im) (*.f64 im re))))) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) re) im) (*.f64 im re))))) |
5 calls:
| 1.0ms | (sin.f64 im) |
| 1.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 1.0ms | re |
| 1.0ms | im |
| 1.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 6.2% | 1 | (sin.f64 im) |
| 6.2% | 1 | re |
| 6.2% | 1 | (exp.f64 re) |
| 6.2% | 1 | im |
| 6.2% | 1 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 11 to 15 computations (-36.4% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999691851882742 | +inf |
| 0.0ms | 7.534007475970511e-30 | 3.70686178960636e-29 |
| 0.0ms | -0.04230812860333913 | 0.0 |
| 0.0ms | -inf | -0.9993606198826307 |
Compiled 8 to 10 computations (-25% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999691851882742 | +inf |
| 0.0ms | 7.534007475970511e-30 | 3.70686178960636e-29 |
| 0.0ms | -0.04230812860333913 | 0.0 |
Compiled 8 to 10 computations (-25% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999691851882742 | +inf |
| 0.0ms | 7.534007475970511e-30 | 3.70686178960636e-29 |
| 0.0ms | -0.04230812860333913 | 0.0 |
Compiled 8 to 10 computations (-25% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999691851882742 | +inf |
| 0.0ms | 7.534007475970511e-30 | 3.70686178960636e-29 |
| 0.0ms | -0.04230812860333913 | 0.0 |
| 0.0ms | -inf | -0.9993606198826307 |
Compiled 8 to 10 computations (-25% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999691851882742 | +inf |
| 0.0ms | 7.534007475970511e-30 | 3.70686178960636e-29 |
| 0.0ms | -0.04230812860333913 | 0.0 |
| 0.0ms | -inf | -0.9993606198826307 |
Compiled 8 to 10 computations (-25% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999691851882742 | +inf |
| 0.0ms | 7.534007475970511e-30 | 3.70686178960636e-29 |
| 0.0ms | -0.04230812860333913 | 0.0 |
| 0.0ms | -inf | -0.9993606198826307 |
Compiled 8 to 10 computations (-25% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 2.3305756673303373e+144 | 5.889173634221966e+145 |
| 18.0ms | 2.759314209372174e-13 | 9.602148536931812e-5 |
| 45.0ms | -0.6932957818431698 | -3.768667668316799e-6 |
| 55.0ms | 400× | 0 | valid |
Compiled 329 to 374 computations (-13.7% saved)
ival-sin: 39.0ms (84.3% of total)ival-exp: 4.0ms (8.6% of total)ival-mult: 3.0ms (6.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999691851882742 | +inf |
| 0.0ms | 7.534007475970511e-30 | 3.70686178960636e-29 |
| 0.0ms | -0.04230812860333913 | 0.0 |
| 0.0ms | -inf | -0.9993606198826307 |
Compiled 8 to 10 computations (-25% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999691851882742 | +inf |
| 0.0ms | 7.534007475970511e-30 | 3.70686178960636e-29 |
| 0.0ms | -0.04230812860333913 | 0.0 |
| 0.0ms | -inf | -0.9993606198826307 |
Compiled 8 to 10 computations (-25% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999691851882742 | +inf |
| 0.0ms | 7.534007475970511e-30 | 3.70686178960636e-29 |
| 0.0ms | -0.04230812860333913 | 0.0 |
| 0.0ms | -inf | -0.9993606198826307 |
Compiled 8 to 10 computations (-25% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999691851882742 | +inf |
| 0.0ms | -inf | -0.9993606198826307 |
Compiled 8 to 10 computations (-25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 4.0030607590188423e-302 |
Compiled 8 to 10 computations (-25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.18909373836644597 | 0.20124504906401225 |
Compiled 8 to 10 computations (-25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.18909373836644597 | 0.20124504906401225 |
Compiled 8 to 10 computations (-25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.18909373836644597 | 0.20124504906401225 |
Compiled 8 to 10 computations (-25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 4.0030607590188423e-302 |
Compiled 8 to 10 computations (-25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.18909373836644597 | 0.20124504906401225 |
Compiled 8 to 10 computations (-25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5595804843350102 | 0.5857515045494177 |
Compiled 8 to 10 computations (-25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.23584598483067762 | 0.2953394313463257 |
Compiled 8 to 10 computations (-25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9946934569269177 | 0.9970510395124186 |
Compiled 8 to 10 computations (-25% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 179 | 1478 |
| 1 | 212 | 1478 |
| 2 | 215 | 1478 |
| 3 | 220 | 1478 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (exp.f64 re) (sin.f64 im)) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (exp re) (/.f64 #s(approx (+ (* re re) -1) #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (exp re) (/.f64 #s(approx (+ (* re re) -1) #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)))))) |
(if (<=.f64 re #s(literal -3458764513820541/4611686018427387904 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 re #s(literal 5902958103587057/73786976294838206464 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 re #s(literal 58000000000000001030651365036662253282400386796178103943906334920896699017127245632126638960829628179505265446745279470222116593678178252637601792 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* (pow im 3) -1/6) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* (pow im 3) -1/6) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) 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 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #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) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 #s(approx (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) 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) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1261007895663739/2251799813685248 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1/4 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/2 binary64)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) re) im) (*.f64 im re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) re) im) (*.f64 im re))))) |
| Outputs |
|---|
(*.f64 (exp.f64 re) (sin.f64 im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (exp re) (/.f64 #s(approx (+ (* re re) -1) #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)))))) |
(if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (exp re) (/.f64 #s(approx (+ (* re re) -1) #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) 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 -5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))) |
(if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) 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 -5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))) |
(if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) 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) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (exp re) (/.f64 #s(approx (+ (* re re) -1) #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)))))) |
(if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (exp re) (/.f64 #s(approx (+ (* re re) -1) #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) 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) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)))))) |
(if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) 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) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)))))) |
(if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))))))) |
(if (<=.f64 re #s(literal -3458764513820541/4611686018427387904 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 re #s(literal 5902958103587057/73786976294838206464 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 re #s(literal 58000000000000001030651365036662253282400386796178103943906334920896699017127245632126638960829628179505265446745279470222116593678178252637601792 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))))) |
(if (<=.f64 re #s(literal -3458764513820541/4611686018427387904 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 re #s(literal 5902958103587057/73786976294838206464 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 re #s(literal 58000000000000001030651365036662253282400386796178103943906334920896699017127245632126638960829628179505265446745279470222116593678178252637601792 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* (pow im 3) -1/6) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)))))) |
(if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* (pow im 3) -1/6) im) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))) (if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* (pow im 3) -1/6) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)))))) |
(if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* (pow im 3) -1/6) im) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))) (if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #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)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)))))) |
(if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) im im))) (if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #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)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) 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 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)))) |
(if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) im im))) (if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #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) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))) |
(if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) im im))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im))))) |
(if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) im im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) im))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))))) |
(if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) im im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 #s(approx (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)) re))))) |
(if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) im im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 #s(approx (* (+ (* (+ (* 1/6 re) 1/2) re) 1) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) 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) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))) |
(if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) im im))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im))))) |
(if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) im im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1261007895663739/2251799813685248 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im))))) |
(if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal 1261007895663739/2251799813685248 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1/4 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/2 binary64)))))) |
(if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal 1/4 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/2 binary64)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) re) im) (*.f64 im re)))))) |
(if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) re) im) (*.f64 im re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) re) im) (*.f64 im re))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 249 | 4026 |
| 1 | 771 | 3776 |
| 2 | 2392 | 3715 |
| 3 | 5520 | 3627 |
| 0 | 8414 | 3249 |
| 0 | 201 | 2946 |
| 1 | 660 | 2796 |
| 2 | 2129 | 2728 |
| 3 | 4994 | 2710 |
| 0 | 8786 | 2425 |
| 0 | 25 | 128 |
| 0 | 43 | 128 |
| 1 | 128 | 128 |
| 2 | 826 | 128 |
| 0 | 8355 | 128 |
| 0 | 71 | 297 |
| 1 | 221 | 286 |
| 2 | 584 | 274 |
| 3 | 1576 | 268 |
| 4 | 2434 | 268 |
| 5 | 3117 | 268 |
| 6 | 3582 | 268 |
| 7 | 3732 | 268 |
| 8 | 4021 | 268 |
| 9 | 5959 | 268 |
| 0 | 8246 | 246 |
| 0 | 125 | 1727 |
| 1 | 406 | 1664 |
| 2 | 1121 | 1618 |
| 3 | 3934 | 1588 |
| 4 | 7404 | 1588 |
| 0 | 8116 | 1437 |
| 0 | 40 | 244 |
| 0 | 62 | 244 |
| 1 | 185 | 244 |
| 2 | 1121 | 244 |
| 0 | 8269 | 244 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 379 to 636 computations (53.9% saved)
(negabs im)
Compiled 1 912 to 334 computations (82.5% saved)
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