
Time bar (total: 11.9s)
| 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 13 to 12 computations (7.7% saved)
| 1.2s | 2 756× | 1 | valid |
| 621.0ms | 1 039× | 2 | valid |
| 396.0ms | 4 461× | 0 | valid |
ival-exp: 1.1s (58.2% of total)ival-sin: 429.0ms (23% of total)ival-mult: 135.0ms (7.2% of total)adjust: 75.0ms (4% of total)ival-sub: 65.0ms (3.5% of total)ival-neg: 61.0ms (3.3% of total)ival-true: 6.0ms (0.3% of total)exact: 5.0ms (0.3% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 112 | 0 | - | 1 | (2191976503533496.0 0.005800652718834533) | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 0 | 0 | - | 0 | - | (exp.f64 im) |
| 0 | 0 | - | 0 | - | (neg.f64 im) |
| 0 | 0 | - | 0 | - | (exp.f64 (neg.f64 im)) |
| 0 | 0 | - | 0 | - | (sin.f64 re) |
| 0 | 0 | - | 0 | - | im |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 0 | 0 | - | 0 | - | re |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) | cancellation | 111 | 2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 83 | 1 |
| - | 28 | 144 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 83 | 1 | 0 |
| - | 28 | 2 | 142 |
| number | freq |
|---|---|
| 0 | 145 |
| 1 | 111 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 106.0ms | 78× | 2 | valid |
| 56.0ms | 136× | 1 | valid |
| 26.0ms | 298× | 0 | valid |
Compiled 81 to 34 computations (58% saved)
ival-exp: 65.0ms (39% of total)adjust: 47.0ms (28.2% of total)ival-mult: 37.0ms (22.2% of total)ival-sin: 11.0ms (6.6% of total)ival-sub: 4.0ms (2.4% of total)ival-neg: 2.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 772× | lower-fma.f64 |
| 772× | lower-fma.f32 |
| 486× | distribute-lft-in |
| 484× | lower-*.f32 |
| 480× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 61 |
| 1 | 70 | 57 |
| 2 | 232 | 55 |
| 3 | 811 | 55 |
| 4 | 1902 | 55 |
| 5 | 2809 | 55 |
| 6 | 3188 | 55 |
| 7 | 3536 | 55 |
| 8 | 3561 | 55 |
| 9 | 3561 | 55 |
| 10 | 3561 | 55 |
| 11 | 3593 | 55 |
| 12 | 3599 | 55 |
| 13 | 3599 | 55 |
| 0 | 10 | 11 |
| 0 | 17 | 11 |
| 1 | 29 | 11 |
| 2 | 57 | 11 |
| 3 | 121 | 11 |
| 4 | 218 | 11 |
| 5 | 355 | 11 |
| 6 | 520 | 11 |
| 7 | 767 | 11 |
| 8 | 1098 | 11 |
| 9 | 1360 | 11 |
| 10 | 1398 | 11 |
| 11 | 1421 | 11 |
| 12 | 1423 | 11 |
| 13 | 1423 | 11 |
| 0 | 1423 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) |
(negabs im)
(negabs re)
Compiled 11 to 10 computations (9.1% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 71.5% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 11 to 10 computations (9.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) | |
| cost-diff | 0 | (sin.f64 re) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 772× | lower-fma.f64 |
| 772× | lower-fma.f32 |
| 484× | lower-*.f32 |
| 480× | lower-*.f64 |
| 230× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 33 |
| 0 | 17 | 33 |
| 1 | 29 | 33 |
| 2 | 57 | 33 |
| 3 | 121 | 33 |
| 4 | 218 | 33 |
| 5 | 355 | 33 |
| 6 | 520 | 33 |
| 7 | 767 | 33 |
| 8 | 1098 | 33 |
| 9 | 1360 | 33 |
| 10 | 1398 | 33 |
| 11 | 1421 | 33 |
| 12 | 1423 | 33 |
| 13 | 1423 | 33 |
| 0 | 1423 | 33 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
#s(literal 1/2 binary64) |
(sin.f64 re) |
re |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(exp.f64 (neg.f64 im)) |
(neg.f64 im) |
im |
(exp.f64 im) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sin.f64 re) |
re |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(exp.f64 (neg.f64 im)) |
(neg.f64 im) |
im |
(exp.f64 im) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (exp.f64 (neg.f64 im)) | |
| accuracy | 0 | (exp.f64 im) | |
| accuracy | 0.05078125 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) | |
| accuracy | 25.424929613984585 | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 43.0ms | 39× | 2 | valid |
| 41.0ms | 68× | 1 | valid |
| 15.0ms | 149× | 0 | valid |
Compiled 35 to 12 computations (65.7% saved)
ival-exp: 45.0ms (72.8% of total)ival-sin: 6.0ms (9.7% of total)ival-mult: 4.0ms (6.5% of total)adjust: 2.0ms (3.2% of total)ival-sub: 2.0ms (3.2% of total)ival-neg: 2.0ms (3.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ()) |
#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ()) |
#s(alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation binary64>) () ()) |
#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ()) |
#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (* re (- (exp (neg im)) (exp im)))) (taylor 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) (taylor 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) (taylor 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) (taylor 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 re) (taylor 0 re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ 1/2 (* -1/12 (pow re 2)))) (taylor 0 re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) (taylor 0 re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) (taylor 0 re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt re (taylor 0 re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ 1 (* -1/6 (pow re 2)))) (taylor 0 re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) (taylor 0 re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6)))) (taylor 0 re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) (taylor inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) (taylor inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) (taylor inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) (taylor inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (sin re)) (taylor inf re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (sin re)) (taylor inf re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (sin re)) (taylor inf re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (sin re)) (taylor inf re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (sin re) (taylor inf re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (sin re) (taylor inf re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (sin re) (taylor inf re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (sin re) (taylor inf re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) (taylor -inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) (taylor -inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) (taylor -inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) (taylor -inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (sin re)) (taylor -inf re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (sin re)) (taylor -inf re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (sin re)) (taylor -inf re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (sin re)) (taylor -inf re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (sin re) (taylor -inf re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (sin re) (taylor -inf re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (sin re) (taylor -inf re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (sin re) (taylor -inf re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* im (sin re))) (taylor 0 im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re))))) (taylor 0 im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re))))))) (taylor 0 im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re))))))))) (taylor 0 im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 im) (taylor 0 im) (#s(alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* im (- (* -1/3 (pow im 2)) 2)) (taylor 0 im) (#s(alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)) (taylor 0 im) (#s(alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2)) (taylor 0 im) (#s(alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 im) (taylor 0 im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* im (+ 1 (* 1/2 im)))) (taylor 0 im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) (taylor 0 im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 im) (#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 im)) (taylor 0 im) (#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* im (- (* 1/2 im) 1))) (taylor 0 im) (#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) (taylor 0 im) (#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) (taylor inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) (taylor inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) (taylor inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) (taylor inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (neg im)) (exp im)) (taylor inf im) (#s(alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (neg im)) (exp im)) (taylor inf im) (#s(alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (neg im)) (exp im)) (taylor inf im) (#s(alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (neg im)) (exp im)) (taylor inf im) (#s(alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (exp im) (taylor inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ()) |
#s(alt (exp im) (taylor inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ()) |
#s(alt (exp im) (taylor inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ()) |
#s(alt (exp im) (taylor inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ()) |
#s(alt (exp (neg im)) (taylor inf im) (#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (exp (neg im)) (taylor inf im) (#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (exp (neg im)) (taylor inf im) (#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (exp (neg im)) (taylor inf im) (#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) (taylor -inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) (taylor -inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) (taylor -inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) (taylor -inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (exp im) (taylor -inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ()) |
#s(alt (exp im) (taylor -inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ()) |
#s(alt (exp im) (taylor -inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ()) |
#s(alt (exp im) (taylor -inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ()) |
#s(alt (exp (* -1 im)) (taylor -inf im) (#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* -1 im)) (taylor -inf im) (#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* -1 im)) (taylor -inf im) (#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* -1 im)) (taylor -inf im) (#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | im | @ | 0 | ((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (exp im) (exp (neg im))) |
| 1.0ms | re | @ | inf | ((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (exp im) (exp (neg im))) |
| 1.0ms | re | @ | 0 | ((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (exp im) (exp (neg im))) |
| 1.0ms | im | @ | inf | ((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (exp im) (exp (neg im))) |
| 1.0ms | im | @ | -inf | ((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (exp im) (exp (neg im))) |
| 1× | egg-herbie |
| 24 526× | lower-fma.f64 |
| 24 526× | lower-fma.f32 |
| 6 070× | lower-*.f64 |
| 6 070× | lower-*.f32 |
| 4 488× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 146 | 699 |
| 1 | 413 | 664 |
| 2 | 1136 | 652 |
| 3 | 3928 | 631 |
| 4 | 6813 | 631 |
| 0 | 8435 | 593 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (* re (- (exp (neg im)) (exp im)))) |
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) |
(* 1/2 re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
re |
(* re (+ 1 (* -1/6 (pow re 2)))) |
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) |
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(sin re) |
(sin re) |
(sin re) |
(sin re) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(sin re) |
(sin re) |
(sin re) |
(sin re) |
(* -1 (* im (sin re))) |
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re))))) |
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re))))))) |
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re))))))))) |
(* -2 im) |
(* im (- (* -1/3 (pow im 2)) 2)) |
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2)) |
1 |
(+ 1 im) |
(+ 1 (* im (+ 1 (* 1/2 im)))) |
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) |
1 |
(+ 1 (* -1 im)) |
(+ 1 (* im (- (* 1/2 im) 1))) |
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(- (exp (neg im)) (exp im)) |
(- (exp (neg im)) (exp im)) |
(- (exp (neg im)) (exp im)) |
(- (exp (neg im)) (exp im)) |
(exp im) |
(exp im) |
(exp im) |
(exp im) |
(exp (neg im)) |
(exp (neg im)) |
(exp (neg im)) |
(exp (neg im)) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(- (exp (* -1 im)) (exp im)) |
(- (exp (* -1 im)) (exp im)) |
(- (exp (* -1 im)) (exp im)) |
(- (exp (* -1 im)) (exp im)) |
(exp im) |
(exp im) |
(exp im) |
(exp im) |
(exp (* -1 im)) |
(exp (* -1 im)) |
(exp (* -1 im)) |
(exp (* -1 im)) |
| Outputs |
|---|
(* 1/2 (* re (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 re #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) |
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) |
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re) |
(* 1/2 re) |
(*.f64 re #s(literal 1/2 binary64)) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
re |
(* re (+ 1 (* -1/6 (pow re 2)))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re) |
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re) |
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6)))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* 1/2 (sin re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(* 1/2 (sin re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(* 1/2 (sin re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(* 1/2 (sin re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(sin re) |
(sin.f64 re) |
(sin re) |
(sin.f64 re) |
(sin re) |
(sin.f64 re) |
(sin re) |
(sin.f64 re) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* 1/2 (sin re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(* 1/2 (sin re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(* 1/2 (sin re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(* 1/2 (sin re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(sin re) |
(sin.f64 re) |
(sin re) |
(sin.f64 re) |
(sin re) |
(sin.f64 re) |
(sin re) |
(sin.f64 re) |
(* -1 (* im (sin re))) |
(*.f64 (neg.f64 im) (sin.f64 re)) |
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re))))) |
(*.f64 (neg.f64 (sin.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)) |
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re))))))) |
(*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)) (neg.f64 im))) |
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re))))))))) |
(*.f64 (*.f64 (sin.f64 re) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im) |
(* -2 im) |
(*.f64 #s(literal -2 binary64) im) |
(* im (- (* -1/3 (pow im 2)) 2)) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im) |
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im) |
1 |
#s(literal 1 binary64) |
(+ 1 im) |
(+.f64 #s(literal 1 binary64) im) |
(+ 1 (* im (+ 1 (* 1/2 im)))) |
(fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)) |
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 im)) |
(-.f64 #s(literal 1 binary64) im) |
(+ 1 (* im (- (* 1/2 im) 1))) |
(fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)) |
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal -1 binary64)) im #s(literal 1 binary64)) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(- (exp (neg im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (neg im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (neg im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (neg im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(exp im) |
(exp.f64 im) |
(exp im) |
(exp.f64 im) |
(exp im) |
(exp.f64 im) |
(exp im) |
(exp.f64 im) |
(exp (neg im)) |
(exp.f64 (neg.f64 im)) |
(exp (neg im)) |
(exp.f64 (neg.f64 im)) |
(exp (neg im)) |
(exp.f64 (neg.f64 im)) |
(exp (neg im)) |
(exp.f64 (neg.f64 im)) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(- (exp (* -1 im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (* -1 im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (* -1 im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (* -1 im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(exp im) |
(exp.f64 im) |
(exp im) |
(exp.f64 im) |
(exp im) |
(exp.f64 im) |
(exp im) |
(exp.f64 im) |
(exp (* -1 im)) |
(exp.f64 (neg.f64 im)) |
(exp (* -1 im)) |
(exp.f64 (neg.f64 im)) |
(exp (* -1 im)) |
(exp.f64 (neg.f64 im)) |
(exp (* -1 im)) |
(exp.f64 (neg.f64 im)) |
| 1 192× | lower-*.f32 |
| 1 188× | lower-*.f64 |
| 944× | lower-/.f64 |
| 944× | lower-/.f32 |
| 910× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 28 |
| 0 | 17 | 28 |
| 1 | 42 | 28 |
| 2 | 237 | 28 |
| 0 | 2269 | 28 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
(sin.f64 re) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(exp.f64 im) |
(exp.f64 (neg.f64 im)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) (+.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (*.f64 im #s(literal -2 binary64))) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64)))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (sin.f64 re) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))) (*.f64 (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))) (-.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (-.f64 (*.f64 (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) (neg.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) |
(fma.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))) |
(fma.f64 (*.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))) |
(fma.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 (sin.f64 re) (exp.f64 im)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (neg.f64 (exp.f64 im)) (sin.f64 re)) #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (exp.f64 im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))) |
(fma.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) |
(fma.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im)) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))) |
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) |
(fma.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 im))) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))) |
(fma.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (exp.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 im)) (sin.f64 re)) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))) |
(+.f64 (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))) |
(+.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
(sin.f64 re) |
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) (+.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (*.f64 im #s(literal -2 binary64))) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) |
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(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 im))) (neg.f64 (exp.f64 im))) |
(fma.f64 #s(literal -1 binary64) (exp.f64 im) (exp.f64 (neg.f64 im))) |
(fma.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))))) |
(fma.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))) |
(fma.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)) (neg.f64 (exp.f64 im))) |
(fma.f64 (exp.f64 im) #s(literal -1 binary64) (exp.f64 (neg.f64 im))) |
(fma.f64 (exp.f64 (neg.f64 im)) (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))))) |
(fma.f64 (exp.f64 (neg.f64 im)) (/.f64 (exp.f64 (neg.f64 im)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))) |
(fma.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64) (neg.f64 (exp.f64 im))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 im)) #s(literal 0 binary64)) (exp.f64 im)) |
(-.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(+.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))))) |
(+.f64 (neg.f64 (exp.f64 im)) (exp.f64 (neg.f64 im))) |
(+.f64 (exp.f64 (neg.f64 im)) (neg.f64 (exp.f64 im))) |
(*.f64 #s(literal 1 binary64) (exp.f64 im)) |
(*.f64 (exp.f64 im) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (exp.f64 im)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))) |
(/.f64 (exp.f64 im) #s(literal 1 binary64)) |
(exp.f64 im) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 im) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 im) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 im)))) |
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))) |
(*.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) im) |
(pow.f64 (exp.f64 im) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 im))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 im)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 im)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 im))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) im)) |
(exp.f64 (neg.f64 im)) |
Compiled 4 933 to 606 computations (87.7% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 223 | 8 | 231 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 223 | 9 | 232 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 71.5% | (fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) |
| ✓ | 71.5% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 69.5% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) | |
| ▶ | 94.2% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
| ▶ | 91.2% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
| 83.8% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) | |
| ▶ | 58.8% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 91.2% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)) (neg.f64 im)))) | |
| ▶ | 45.8% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) |
Compiled 243 to 194 computations (20.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 re) | |
| cost-diff | 0 | (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) | |
| cost-diff | 128 | (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) | |
| cost-diff | 6464 | (fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) | |
| cost-diff | 0 | (*.f64 re #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) | |
| cost-diff | 0 | #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) | |
| cost-diff | 0 | (sin.f64 re) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) | |
| cost-diff | 0 | (sin.f64 re) | |
| cost-diff | 0 | (neg.f64 im) | |
| cost-diff | 0 | (*.f64 (neg.f64 im) (sin.f64 re)) | |
| cost-diff | 0 | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) | |
| cost-diff | 0 | #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) | |
| cost-diff | 0 | (sin.f64 re) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
| 19 746× | lower-fma.f32 |
| 19 734× | lower-fma.f64 |
| 2 980× | lower-+.f64 |
| 2 980× | lower-+.f32 |
| 2 750× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 325 |
| 0 | 72 | 325 |
| 1 | 132 | 320 |
| 2 | 266 | 319 |
| 3 | 565 | 319 |
| 4 | 1098 | 319 |
| 5 | 1651 | 319 |
| 6 | 2126 | 319 |
| 7 | 2658 | 319 |
| 8 | 2897 | 319 |
| 9 | 3156 | 319 |
| 10 | 3323 | 319 |
| 11 | 3624 | 319 |
| 12 | 5320 | 319 |
| 0 | 8099 | 319 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
#s(literal 1/2 binary64) |
(sin.f64 re) |
re |
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) |
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) |
#s(literal -1/2520 binary64) |
(*.f64 im im) |
im |
#s(literal -1/60 binary64) |
#s(literal -1/3 binary64) |
#s(literal -2 binary64) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) |
(*.f64 (neg.f64 im) (sin.f64 re)) |
(neg.f64 im) |
im |
(sin.f64 re) |
re |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
#s(literal 1/2 binary64) |
(sin.f64 re) |
re |
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im) |
(fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) |
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) |
#s(literal -1/60 binary64) |
(*.f64 im im) |
im |
#s(literal -1/3 binary64) |
#s(literal -2 binary64) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) |
(*.f64 re #s(literal 1/2 binary64)) |
re |
#s(literal 1/2 binary64) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(exp.f64 (neg.f64 im)) |
(neg.f64 im) |
im |
(exp.f64 im) |
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(sin.f64 re) |
re |
#s(literal 1/2 binary64) |
(exp.f64 (neg.f64 im)) |
(neg.f64 im) |
im |
(*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) |
(neg.f64 (exp.f64 im)) |
(exp.f64 im) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sin.f64 re) |
re |
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) |
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) |
(fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) |
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) |
(fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) |
#s(literal -1/2520 binary64) |
(*.f64 im im) |
im |
#s(literal -1/60 binary64) |
#s(literal -1/3 binary64) |
#s(literal -2 binary64) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) |
(*.f64 (neg.f64 im) (sin.f64 re)) |
(neg.f64 im) |
im |
(sin.f64 re) |
re |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sin.f64 re) |
re |
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im) |
(fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) |
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) |
#s(literal -1/60 binary64) |
(*.f64 im im) |
im |
#s(literal -1/3 binary64) |
#s(literal -2 binary64) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) |
(*.f64 re #s(literal 1/2 binary64)) |
re |
#s(literal 1/2 binary64) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(exp.f64 (neg.f64 im)) |
(neg.f64 im) |
im |
(exp.f64 im) |
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(sin.f64 re) |
re |
#s(literal 1/2 binary64) |
(exp.f64 (neg.f64 im)) |
(neg.f64 im) |
im |
(*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 im)) (sin.f64 re)) |
(neg.f64 (exp.f64 im)) |
(exp.f64 im) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (exp.f64 (neg.f64 im)) | |
| accuracy | 0 | (exp.f64 im) | |
| accuracy | 0.01953125 | (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) | |
| accuracy | 18.225018474091456 | (fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) | |
| accuracy | 0 | (exp.f64 im) | |
| accuracy | 0.05078125 | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) | |
| accuracy | 25.424929613984585 | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) | |
| accuracy | 28.67596919840182 | #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) | |
| accuracy | 0.046875 | (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) | |
| accuracy | 0.05078125 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) | |
| accuracy | 0.06640625 | (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) | |
| accuracy | 5.538468915544321 | #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) | |
| accuracy | 0 | (sin.f64 re) | |
| accuracy | 0 | (neg.f64 im) | |
| accuracy | 0.125 | (*.f64 (neg.f64 im) (sin.f64 re)) | |
| accuracy | 34.615433695821 | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) | |
| accuracy | 0.049160009768442016 | (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) | |
| accuracy | 0.05078125 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) | |
| accuracy | 0.08203125 | (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) | |
| accuracy | 3.6312593476722435 | #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) |
| 164.0ms | 149× | 0 | valid |
| 88.0ms | 40× | 2 | valid |
| 40.0ms | 67× | 1 | valid |
Compiled 262 to 36 computations (86.3% saved)
ival-mult: 131.0ms (49.9% of total)ival-add: 42.0ms (16% of total)ival-exp: 39.0ms (14.9% of total)ival-sin: 26.0ms (9.9% of total)const: 11.0ms (4.2% of total)adjust: 8.0ms (3% of total)ival-neg: 3.0ms (1.1% of total)ival-sub: 2.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ()) |
#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ()) |
#s(alt #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) (patch #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 im) (sin.f64 re)) (patch (*.f64 (neg.f64 im) (sin.f64 re)) #<representation binary64>) () ()) |
#s(alt (neg.f64 im) (patch (neg.f64 im) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ()) |
#s(alt #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (patch #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 re #s(literal 1/2 binary64)) (patch (*.f64 re #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) (patch (fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (patch (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (patch (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (patch (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ()) |
#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (* re (- (exp (neg im)) (exp im)))) (taylor 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) (taylor 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) (taylor 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) (taylor 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 re) (taylor 0 re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ 1/2 (* -1/12 (pow re 2)))) (taylor 0 re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) (taylor 0 re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) (taylor 0 re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt re (taylor 0 re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ 1 (* -1/6 (pow re 2)))) (taylor 0 re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) (taylor 0 re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6)))) (taylor 0 re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* re (- (exp (neg im)) (exp im)))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) (patch #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) (patch #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) (patch #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) (patch #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* im re)) (taylor 0 re) (#s(alt (*.f64 (neg.f64 im) (sin.f64 re)) (patch (*.f64 (neg.f64 im) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (taylor 0 re) (#s(alt (*.f64 (neg.f64 im) (sin.f64 re)) (patch (*.f64 (neg.f64 im) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im))))) (taylor 0 re) (#s(alt (*.f64 (neg.f64 im) (sin.f64 re)) (patch (*.f64 (neg.f64 im) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2))))))))) (taylor 0 re) (#s(alt (*.f64 (neg.f64 im) (sin.f64 re)) (patch (*.f64 (neg.f64 im) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* re (- (exp (neg im)) (exp im)))) (taylor 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) (taylor 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) (taylor 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/60 (pow im 4)) (taylor -inf im) (#s(alt (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow im 4) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow im 4) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60)) (taylor -inf im) (#s(alt (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow im 4) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60)) (taylor -inf im) (#s(alt (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp im) (taylor -inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ()) |
#s(alt (exp im) (taylor -inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ()) |
#s(alt (exp im) (taylor -inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ()) |
#s(alt (exp im) (taylor -inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ()) |
#s(alt (exp (* -1 im)) (taylor -inf im) (#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* -1 im)) (taylor -inf im) (#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* -1 im)) (taylor -inf im) (#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* -1 im)) (taylor -inf im) (#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | im | @ | -inf | ((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (neg im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (- (exp (neg im)) (exp im)) (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) (* (neg (exp im)) (* (sin re) 1/2)) (* (sin re) 1/2) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* -1/60 (* im im)) -1/3) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (exp im) (exp (neg im))) |
| 6.0ms | im | @ | inf | ((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (neg im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (- (exp (neg im)) (exp im)) (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) (* (neg (exp im)) (* (sin re) 1/2)) (* (sin re) 1/2) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* -1/60 (* im im)) -1/3) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (exp im) (exp (neg im))) |
| 3.0ms | re | @ | 0 | ((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (neg im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (- (exp (neg im)) (exp im)) (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) (* (neg (exp im)) (* (sin re) 1/2)) (* (sin re) 1/2) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* -1/60 (* im im)) -1/3) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (exp im) (exp (neg im))) |
| 2.0ms | re | @ | inf | ((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (neg im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (- (exp (neg im)) (exp im)) (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) (* (neg (exp im)) (* (sin re) 1/2)) (* (sin re) 1/2) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* -1/60 (* im im)) -1/3) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (exp im) (exp (neg im))) |
| 2.0ms | re | @ | -inf | ((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (neg im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (- (exp (neg im)) (exp im)) (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) (* (neg (exp im)) (* (sin re) 1/2)) (* (sin re) 1/2) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* -1/60 (* im im)) -1/3) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (exp im) (exp (neg im))) |
| 1× | egg-herbie |
| 16 708× | lower-fma.f64 |
| 16 708× | lower-fma.f32 |
| 5 144× | lower-*.f64 |
| 5 144× | lower-*.f32 |
| 5 044× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 290 | 3383 |
| 1 | 913 | 3203 |
| 2 | 2893 | 3159 |
| 3 | 6399 | 3097 |
| 0 | 8463 | 2947 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (* re (- (exp (neg im)) (exp im)))) |
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) |
(* 1/2 re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
re |
(* re (+ 1 (* -1/6 (pow re 2)))) |
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) |
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6)))) |
(* 1/2 (* re (- (exp (neg im)) (exp im)))) |
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) |
(* -1 (* im re)) |
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) |
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im))))) |
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2))))))))) |
(* 1/2 (* re (- (exp (neg im)) (exp im)))) |
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) |
(* 1/2 (* re (- (exp (neg im)) (exp im)))) |
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) |
(* 1/2 re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
(* 1/2 re) |
(* 1/2 re) |
(* 1/2 re) |
(* 1/2 re) |
(* re (+ (* -1/2 (exp im)) (* 1/2 (exp (neg im))))) |
(* re (+ (* -1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp (neg im))) (* 1/12 (exp im))))))) |
(* re (+ (* -1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp (neg im))) (+ (* 1/12 (exp im)) (* (pow re 2) (+ (* -1/240 (exp im)) (* 1/240 (exp (neg im))))))))))) |
(* re (+ (* -1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp (neg im))) (+ (* 1/12 (exp im)) (* (pow re 2) (+ (* -1/240 (exp im)) (+ (* 1/240 (exp (neg im))) (* (pow re 2) (+ (* -1/10080 (exp (neg im))) (* 1/10080 (exp im))))))))))))) |
(* -1/2 (* re (exp im))) |
(* re (+ (* -1/2 (exp im)) (* 1/12 (* (pow re 2) (exp im))))) |
(* re (+ (* -1/2 (exp im)) (* (pow re 2) (+ (* -1/240 (* (pow re 2) (exp im))) (* 1/12 (exp im)))))) |
(* re (+ (* -1/2 (exp im)) (* (pow re 2) (+ (* 1/12 (exp im)) (* (pow re 2) (+ (* -1/240 (exp im)) (* 1/10080 (* (pow re 2) (exp im))))))))) |
(* 1/2 re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(sin re) |
(sin re) |
(sin re) |
(sin re) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 re) |
(* 1/2 re) |
(* 1/2 re) |
(* 1/2 re) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) |
(* -1/2 (* (exp im) (sin re))) |
(* -1/2 (* (exp im) (sin re))) |
(* -1/2 (* (exp im) (sin re))) |
(* -1/2 (* (exp im) (sin re))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(sin re) |
(sin re) |
(sin re) |
(sin re) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 re) |
(* 1/2 re) |
(* 1/2 re) |
(* 1/2 re) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) |
(* -1/2 (* (exp im) (sin re))) |
(* -1/2 (* (exp im) (sin re))) |
(* -1/2 (* (exp im) (sin re))) |
(* -1/2 (* (exp im) (sin re))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* -1 (* im (sin re))) |
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re))))) |
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re))))))) |
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re))))))))) |
(* -2 im) |
(* im (- (* -1/3 (pow im 2)) 2)) |
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2)) |
(* -1 (* im (sin re))) |
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re))))) |
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re))))))) |
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re))))))))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 im) |
(* -1 im) |
(* -1 im) |
(* -1 im) |
(* -1 (* im (sin re))) |
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re))))) |
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re))))))) |
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re))))))))) |
(* -2 im) |
(* im (- (* -1/3 (pow im 2)) 2)) |
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2)) |
(* -1 (* im (sin re))) |
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re))))) |
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re))))))) |
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re))))))))) |
(* -2 im) |
(* im (- (* -1/3 (pow im 2)) 2)) |
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2)) |
(+ (* -1/2 (sin re)) (* 1/2 (sin re))) |
(+ (* -1 (* im (sin re))) (+ (* -1/2 (sin re)) (* 1/2 (sin re)))) |
(+ (* -1/2 (sin re)) (+ (* 1/2 (sin re)) (* im (+ (* -1 (sin re)) (* im (+ (* -1/4 (sin re)) (* 1/4 (sin re)))))))) |
(+ (* -1/2 (sin re)) (+ (* 1/2 (sin re)) (* im (+ (* -1 (sin re)) (* im (+ (* -1/4 (sin re)) (+ (* -1/6 (* im (sin re))) (* 1/4 (sin re))))))))) |
(* -1/2 (sin re)) |
(+ (* -1/2 (sin re)) (* -1/2 (* im (sin re)))) |
(+ (* -1/2 (sin re)) (* im (+ (* -1/2 (sin re)) (* -1/4 (* im (sin re)))))) |
(+ (* -1/2 (sin re)) (* im (+ (* -1/2 (sin re)) (* im (+ (* -1/4 (sin re)) (* -1/12 (* im (sin re)))))))) |
-1/60 |
(- (* -1/2520 (pow im 2)) 1/60) |
(- (* -1/2520 (pow im 2)) 1/60) |
(- (* -1/2520 (pow im 2)) 1/60) |
-1/3 |
(- (* -1/60 (pow im 2)) 1/3) |
(- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3) |
(- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3) |
-1/3 |
(- (* -1/60 (pow im 2)) 1/3) |
(- (* -1/60 (pow im 2)) 1/3) |
(- (* -1/60 (pow im 2)) 1/3) |
-2 |
(- (* -1/3 (pow im 2)) 2) |
(- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2) |
(- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2) |
1 |
(+ 1 im) |
(+ 1 (* im (+ 1 (* 1/2 im)))) |
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) |
1 |
(+ 1 (* -1 im)) |
(+ 1 (* im (- (* 1/2 im) 1))) |
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(- (exp (neg im)) (exp im)) |
(- (exp (neg im)) (exp im)) |
(- (exp (neg im)) (exp im)) |
(- (exp (neg im)) (exp im)) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 im) |
(* -1 im) |
(* -1 im) |
(* -1 im) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(- (exp (neg im)) (exp im)) |
(- (exp (neg im)) (exp im)) |
(- (exp (neg im)) (exp im)) |
(- (exp (neg im)) (exp im)) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(- (exp (neg im)) (exp im)) |
(- (exp (neg im)) (exp im)) |
(- (exp (neg im)) (exp im)) |
(- (exp (neg im)) (exp im)) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) |
(* -1/2 (* (exp im) (sin re))) |
(* -1/2 (* (exp im) (sin re))) |
(* -1/2 (* (exp im) (sin re))) |
(* -1/2 (* (exp im) (sin re))) |
(* -1/2520 (pow im 2)) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* -1/2520 (pow im 4)) |
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(* -1/60 (pow im 2)) |
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(* -1/60 (pow im 4)) |
(* -1 (* (pow im 4) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(* (pow im 4) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60)) |
(* (pow im 4) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60)) |
(exp im) |
(exp im) |
(exp im) |
(exp im) |
(exp (neg im)) |
(exp (neg im)) |
(exp (neg im)) |
(exp (neg im)) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(- (exp (* -1 im)) (exp im)) |
(- (exp (* -1 im)) (exp im)) |
(- (exp (* -1 im)) (exp im)) |
(- (exp (* -1 im)) (exp im)) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 im) |
(* -1 im) |
(* -1 im) |
(* -1 im) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(- (exp (* -1 im)) (exp im)) |
(- (exp (* -1 im)) (exp im)) |
(- (exp (* -1 im)) (exp im)) |
(- (exp (* -1 im)) (exp im)) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(- (exp (* -1 im)) (exp im)) |
(- (exp (* -1 im)) (exp im)) |
(- (exp (* -1 im)) (exp im)) |
(- (exp (* -1 im)) (exp im)) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re)))) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re)))) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re)))) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re)))) |
(* -1/2 (* (exp im) (sin re))) |
(* -1/2 (* (exp im) (sin re))) |
(* -1/2 (* (exp im) (sin re))) |
(* -1/2 (* (exp im) (sin re))) |
(* -1/2520 (pow im 2)) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* -1/2520 (pow im 4)) |
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(* -1/60 (pow im 2)) |
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(* -1/60 (pow im 4)) |
(* -1 (* (pow im 4) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(* (pow im 4) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60)) |
(* (pow im 4) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60)) |
(exp im) |
(exp im) |
(exp im) |
(exp im) |
(exp (* -1 im)) |
(exp (* -1 im)) |
(exp (* -1 im)) |
(exp (* -1 im)) |
| Outputs |
|---|
(* 1/2 (* re (- (exp (neg im)) (exp im)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) re) |
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) |
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) re)) |
(* 1/2 re) |
(*.f64 re #s(literal 1/2 binary64)) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
re |
(* re (+ 1 (* -1/6 (pow re 2)))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re) |
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re) |
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6)))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re) |
(* 1/2 (* re (- (exp (neg im)) (exp im)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) re) |
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) |
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) re)) |
(* -1 (* im re)) |
(*.f64 (neg.f64 im) re) |
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) |
(*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re) |
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im))))) |
(*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re) |
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2))))))))) |
(*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 im (fma.f64 #s(literal 1/5040 binary64) (*.f64 re re) #s(literal -1/120 binary64))) (*.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64)))) re) |
(* 1/2 (* re (- (exp (neg im)) (exp im)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) re) |
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) |
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) re)) |
(* 1/2 (* re (- (exp (neg im)) (exp im)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) re) |
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) |
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) re)) |
(* 1/2 re) |
(*.f64 re #s(literal 1/2 binary64)) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(* 1/2 re) |
(*.f64 re #s(literal 1/2 binary64)) |
(* 1/2 re) |
(*.f64 re #s(literal 1/2 binary64)) |
(* 1/2 re) |
(*.f64 re #s(literal 1/2 binary64)) |
(* 1/2 re) |
(*.f64 re #s(literal 1/2 binary64)) |
(* re (+ (* -1/2 (exp im)) (* 1/2 (exp (neg im))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) re) |
(* re (+ (* -1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp (neg im))) (* 1/12 (exp im))))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) |
(* re (+ (* -1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp (neg im))) (+ (* 1/12 (exp im)) (* (pow re 2) (+ (* -1/240 (exp im)) (* 1/240 (exp (neg im))))))))))) |
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re) |
(* re (+ (* -1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp (neg im))) (+ (* 1/12 (exp im)) (* (pow re 2) (+ (* -1/240 (exp im)) (+ (* 1/240 (exp (neg im))) (* (pow re 2) (+ (* -1/10080 (exp (neg im))) (* 1/10080 (exp im))))))))))))) |
(*.f64 (fma.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (fma.f64 (exp.f64 (neg.f64 im)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 (exp.f64 im) (fma.f64 #s(literal 1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64)))) (*.f64 re re)) (*.f64 re re))) re) |
(* -1/2 (* re (exp im))) |
(*.f64 (*.f64 (exp.f64 im) re) #s(literal -1/2 binary64)) |
(* re (+ (* -1/2 (exp im)) (* 1/12 (* (pow re 2) (exp im))))) |
(*.f64 (*.f64 (exp.f64 im) (fma.f64 #s(literal 1/12 binary64) (*.f64 re re) #s(literal -1/2 binary64))) re) |
(* re (+ (* -1/2 (exp im)) (* (pow re 2) (+ (* -1/240 (* (pow re 2) (exp im))) (* 1/12 (exp im)))))) |
(*.f64 (*.f64 (exp.f64 im) (fma.f64 (*.f64 re re) (fma.f64 #s(literal -1/240 binary64) (*.f64 re re) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) re) |
(* re (+ (* -1/2 (exp im)) (* (pow re 2) (+ (* 1/12 (exp im)) (* (pow re 2) (+ (* -1/240 (exp im)) (* 1/10080 (* (pow re 2) (exp im))))))))) |
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(*.f64 (*.f64 (sin.f64 re) #s(literal -1/2 binary64)) (exp.f64 im)) |
(* -1/2 (* (exp im) (sin re))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal -1/2 binary64)) (exp.f64 im)) |
(* -1/2 (* (exp im) (sin re))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal -1/2 binary64)) (exp.f64 im)) |
(* -1/2 (* (exp im) (sin re))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal -1/2 binary64)) (exp.f64 im)) |
(* -1/2520 (pow im 2)) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) |
(* -1/2520 (pow im 4)) |
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/2520 binary64)) |
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(*.f64 (-.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 im im))) (pow.f64 im #s(literal 4 binary64))) |
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 im im))) im) im) #s(literal 1/2520 binary64)) (pow.f64 im #s(literal 4 binary64))) |
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 im im))) im) im) #s(literal 1/2520 binary64)) (pow.f64 im #s(literal 4 binary64))) |
(* -1/60 (pow im 2)) |
(*.f64 #s(literal -1/60 binary64) (*.f64 im im)) |
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) |
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) |
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) |
(* -1/60 (pow im 4)) |
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/60 binary64)) |
(* -1 (* (pow im 4) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(*.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 im im))) (pow.f64 im #s(literal 4 binary64))) |
(* (pow im 4) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60)) |
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 im im))) im) im) #s(literal 1/60 binary64)) (pow.f64 im #s(literal 4 binary64))) |
(* (pow im 4) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60)) |
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 im im))) im) im) #s(literal 1/60 binary64)) (pow.f64 im #s(literal 4 binary64))) |
(exp im) |
(exp.f64 im) |
(exp im) |
(exp.f64 im) |
(exp im) |
(exp.f64 im) |
(exp im) |
(exp.f64 im) |
(exp (* -1 im)) |
(exp.f64 (neg.f64 im)) |
(exp (* -1 im)) |
(exp.f64 (neg.f64 im)) |
(exp (* -1 im)) |
(exp.f64 (neg.f64 im)) |
(exp (* -1 im)) |
(exp.f64 (neg.f64 im)) |
| 4 666× | lower-*.f32 |
| 4 644× | lower-*.f64 |
| 4 314× | lower-/.f64 |
| 4 314× | lower-/.f32 |
| 4 114× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 229 |
| 0 | 72 | 229 |
| 1 | 221 | 224 |
| 2 | 1376 | 224 |
| 0 | 8434 | 224 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
(sin.f64 re) |
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) |
(*.f64 (neg.f64 im) (sin.f64 re)) |
(neg.f64 im) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) |
(*.f64 re #s(literal 1/2 binary64)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) |
(*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) |
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) |
(exp.f64 im) |
(exp.f64 (neg.f64 im)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (sin.f64 re)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) |
(*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (sin.f64 re))) |
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
(sin.f64 re) |
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal -1 binary64)) im) |
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re))) |
(*.f64 (neg.f64 im) (sin.f64 re)) |
(*.f64 im (neg.f64 (sin.f64 re))) |
(*.f64 (sin.f64 re) (neg.f64 im)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 im (sin.f64 re)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 im (sin.f64 re)) (*.f64 im (sin.f64 re)) (*.f64 #s(literal 0 binary64) (*.f64 im (sin.f64 re)))))) |
(neg.f64 (*.f64 im (sin.f64 re))) |
(-.f64 #s(literal 0 binary64) (*.f64 im (sin.f64 re))) |
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 im) (sin.f64 re))) |
(*.f64 (neg.f64 (*.f64 im im)) (/.f64 #s(literal 1 binary64) im)) |
(*.f64 (neg.f64 (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 im im #s(literal 0 binary64)))) |
(*.f64 #s(literal -1 binary64) im) |
(*.f64 im (log.f64 (exp.f64 #s(literal -1 binary64)))) |
(*.f64 im #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 im) (neg.f64 im))) (-.f64 #s(literal 0 binary64) (neg.f64 im))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 im) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 im) (neg.f64 im)) (*.f64 #s(literal 0 binary64) (neg.f64 im))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 im im))) (neg.f64 im)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 im #s(literal 3 binary64)))) (neg.f64 (fma.f64 im im #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 im im)) im) |
(/.f64 (neg.f64 (pow.f64 im #s(literal 3 binary64))) (fma.f64 im im #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 im im #s(literal 0 binary64)) (neg.f64 (pow.f64 im #s(literal 3 binary64))))) |
(neg.f64 im) |
(-.f64 (/.f64 #s(literal 0 binary64) im) (/.f64 (*.f64 im im) im)) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 im im #s(literal 0 binary64))) (/.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 im im #s(literal 0 binary64)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 im)))) |
(-.f64 #s(literal 0 binary64) im) |
(+.f64 #s(literal 0 binary64) (neg.f64 im)) |
(log.f64 (exp.f64 (neg.f64 im))) |
(*.f64 (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (sin.f64 re)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) |
(*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (sin.f64 re))) |
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) |
(*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (pow.f64 (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))) (*.f64 (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))))) (-.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (exp.f64 im)) (/.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (exp.f64 im))) (*.f64 (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (neg.f64 (exp.f64 im))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (neg.f64 (exp.f64 im))))) (-.f64 (/.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (exp.f64 im)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (neg.f64 (exp.f64 im))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) (-.f64 (*.f64 (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))) (*.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (neg.f64 (exp.f64 im))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (exp.f64 im)) (/.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (exp.f64 im)) (-.f64 (*.f64 (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (neg.f64 (exp.f64 im))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (neg.f64 (exp.f64 im)))) (*.f64 (/.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (exp.f64 im)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (neg.f64 (exp.f64 im))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))) (neg.f64 (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) |
(/.f64 (neg.f64 (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))))) (neg.f64 (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64)) (*.f64 im im)) (pow.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64)) |
(fma.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64) #s(literal -1/27 binary64)) (*.f64 im im)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 im im) #s(literal 1/180 binary64)))) #s(literal -1 binary64)) #s(literal -2 binary64)) |
(fma.f64 (*.f64 (*.f64 im im) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64))) (pow.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64)) |
(fma.f64 (*.f64 (*.f64 im im) (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64) #s(literal -1/27 binary64))) (pow.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 im im) #s(literal 1/180 binary64)))) #s(literal -1 binary64)) #s(literal -2 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) |
(fma.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal 2 binary64))))) |
(fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) |
(fma.f64 (*.f64 im im) (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) #s(literal -2 binary64)) |
(fma.f64 im (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) #s(literal -2 binary64)) |
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im) #s(literal -2 binary64)) |
(+.f64 #s(literal -2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 im))) |
(*.f64 #s(literal 1 binary64) (exp.f64 im)) |
(*.f64 (exp.f64 im) #s(literal 1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (neg.f64 (exp.f64 im))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))) |
(/.f64 (neg.f64 (exp.f64 im)) #s(literal -1 binary64)) |
(/.f64 (exp.f64 im) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 (exp.f64 im))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 im))) |
(exp.f64 im) |
(+.f64 #s(literal 0 binary64) (exp.f64 im)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 im)))) |
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))) |
(*.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) im) |
(pow.f64 (exp.f64 im) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 0 binary64)) (-.f64 (exp.f64 (neg.f64 im)) #s(literal 0 binary64))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 0 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 im))) |
(/.f64 #s(literal 1 binary64) (exp.f64 im)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 im))) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)) #s(literal 0 binary64)) |
(fma.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) im)) |
(exp.f64 (neg.f64 im)) |
(+.f64 (exp.f64 (neg.f64 im)) #s(literal 0 binary64)) |
Compiled 22 059 to 2 460 computations (88.8% saved)
24 alts after pruning (19 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 950 | 17 | 967 |
| Fresh | 1 | 2 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 952 | 24 | 976 |
| Status | Accuracy | Program |
|---|---|---|
| 58.8% | (fma.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))) | |
| ✓ | 71.5% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 69.5% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) | |
| ✓ | 94.2% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
| ▶ | 94.2% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
| 93.9% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) (*.f64 #s(literal -1/2520 binary64) (*.f64 im im))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) | |
| ✓ | 91.2% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
| ▶ | 83.8% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
| 62.0% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) | |
| ▶ | 64.4% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
| 61.8% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) | |
| ✓ | 58.8% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 57.7% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) | |
| 64.8% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) | |
| 62.9% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) | |
| 58.8% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) | |
| 80.9% | #s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) | |
| ▶ | 14.5% | #s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) |
| 89.7% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)) | |
| 91.2% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)) (neg.f64 im)))) | |
| ✓ | 45.8% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) |
| ▶ | 36.8% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
| 32.7% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))) | |
| 31.2% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) |
Compiled 725 to 546 computations (24.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) | |
| cost-diff | 0 | (sin.f64 re) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) | |
| cost-diff | 0 | #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) | |
| cost-diff | 0 | (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) | |
| cost-diff | 0 | #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)) | |
| cost-diff | 0 | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) | |
| cost-diff | 128 | (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) | |
| cost-diff | 0 | #s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) | |
| cost-diff | 0 | (sin.f64 re) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) | |
| cost-diff | 128 | (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) |
| 11 228× | lower-fma.f32 |
| 11 210× | lower-fma.f64 |
| 3 780× | lower-*.f32 |
| 3 754× | lower-*.f64 |
| 2 698× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 547 |
| 0 | 100 | 542 |
| 1 | 196 | 536 |
| 2 | 410 | 536 |
| 3 | 958 | 533 |
| 4 | 2133 | 530 |
| 5 | 3260 | 530 |
| 6 | 5386 | 530 |
| 7 | 7529 | 530 |
| 0 | 8099 | 518 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
#s(literal 1/2 binary64) |
(sin.f64 re) |
re |
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) |
(*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im) |
(fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) |
(fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) |
(+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) |
(*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) |
(*.f64 im im) |
im |
#s(literal -1/2520 binary64) |
#s(literal -1/60 binary64) |
#s(literal -1/3 binary64) |
#s(literal -2 binary64) |
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)) |
(*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re) |
(fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) |
(*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) |
im |
(fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) |
#s(literal -1/120 binary64) |
(*.f64 re re) |
re |
#s(literal 1/6 binary64) |
(neg.f64 im) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) |
#s(literal 1/240 binary64) |
(*.f64 re re) |
re |
#s(literal -1/12 binary64) |
#s(literal 1/2 binary64) |
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im) |
(fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) |
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) |
#s(literal -1/60 binary64) |
(*.f64 im im) |
im |
#s(literal -1/3 binary64) |
#s(literal -2 binary64) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
#s(literal 1/2 binary64) |
(sin.f64 re) |
re |
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) |
(*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im) |
(fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) |
#s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(*.f64 im im) |
im |
#s(literal -2 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 (*.f64 (sin.f64 re) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sin.f64 re) |
re |
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) |
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) |
(*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im) |
(fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) |
(fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) |
(+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) |
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) |
(*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) |
(*.f64 im im) |
im |
#s(literal -1/2520 binary64) |
#s(literal -1/60 binary64) |
#s(literal -1/3 binary64) |
#s(literal -2 binary64) |
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (neg.f64 re)) im))) |
#s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)) |
#s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (neg.f64 re)) im)) |
(*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re) |
(*.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (neg.f64 re)) im) |
(fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re #s(literal -1 binary64)) im) |
(*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) im) |
im |
(fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) |
#s(literal -1/120 binary64) |
(*.f64 re re) |
re |
#s(literal 1/6 binary64) |
(neg.f64 im) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) |
#s(literal 1/240 binary64) |
(*.f64 re re) |
re |
#s(literal -1/12 binary64) |
#s(literal 1/2 binary64) |
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im) |
(fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) |
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) |
#s(literal -1/60 binary64) |
(*.f64 im im) |
im |
#s(literal -1/3 binary64) |
#s(literal -2 binary64) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (sin.f64 re)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sin.f64 re) |
re |
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) |
(*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im) |
(fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) |
#s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(*.f64 im im) |
im |
#s(literal -2 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01953125 | (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im) | |
| accuracy | 0.05078125 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) | |
| accuracy | 3.6312593476722435 | #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) | |
| accuracy | 34.85187397967044 | #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) | |
| accuracy | 0.06640625 | (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) | |
| accuracy | 0.31630480783425075 | (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) | |
| accuracy | 5.538468915544321 | #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) | |
| accuracy | 28.440484420724975 | #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) | |
| accuracy | 0.3155376460408148 | (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) | |
| accuracy | 3.0606336772372833 | (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) | |
| accuracy | 28.319951341330405 | #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)) | |
| accuracy | 34.615433695821 | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) | |
| accuracy | 54.70751947412451 | #s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) | |
| accuracy | 0.049160009768442016 | (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) | |
| accuracy | 0.05078125 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) | |
| accuracy | 0.13671875 | (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) | |
| accuracy | 3.6312593476722435 | #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) |
| 193.0ms | 149× | 0 | valid |
| 85.0ms | 40× | 2 | valid |
| 63.0ms | 67× | 1 | valid |
Compiled 382 to 59 computations (84.6% saved)
ival-mult: 164.0ms (59.4% of total)const: 35.0ms (12.7% of total)ival-exp: 22.0ms (8% of total)ival-sin: 18.0ms (6.5% of total)ival-add: 18.0ms (6.5% of total)adjust: 14.0ms (5.1% of total)ival-neg: 3.0ms (1.1% of total)ival-sub: 2.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (patch (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ()) |
#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) (patch #s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) (patch (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) (patch #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)) (patch #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)) #<representation binary64>) () ()) |
#s(alt (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (patch (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ()) |
#s(alt #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) (patch #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) (patch (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (patch (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (patch (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (patch #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im) (patch (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (* re (- (exp (neg im)) (exp im)))) (taylor 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) (taylor 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) (taylor 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) (taylor 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 re) (taylor 0 re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ 1/2 (* -1/12 (pow re 2)))) (taylor 0 re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) (taylor 0 re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) (taylor 0 re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt re (taylor 0 re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ 1 (* -1/6 (pow re 2)))) (taylor 0 re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) (taylor 0 re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6)))) (taylor 0 re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* -1/2 (exp im)) (* 1/2 (exp (neg im))))) (taylor 0 re) (#s(alt #s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) (patch #s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* -1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp (neg im))) (* 1/12 (exp im))))))) (taylor 0 re) (#s(alt #s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) (patch #s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* -1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp (neg im))) (+ (* 1/12 (exp im)) (* (pow re 2) (+ (* -1/240 (exp im)) (* 1/240 (exp (neg im))))))))))) (taylor 0 re) (#s(alt #s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) (patch #s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* -1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp (neg im))) (+ (* 1/12 (exp im)) (* (pow re 2) (+ (* -1/240 (exp im)) (+ (* 1/240 (exp (neg im))) (* (pow re 2) (+ (* -1/10080 (exp (neg im))) (* 1/10080 (exp im))))))))))))) (taylor 0 re) (#s(alt #s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) (patch #s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 im) (taylor 0 re) (#s(alt (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) (patch (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/6 (* im (pow re 2))) im) (taylor 0 re) (#s(alt (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) (patch (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im))) im) (taylor 0 re) (#s(alt (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) (patch (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im))) im) (taylor 0 re) (#s(alt (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) (patch (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* re (- (exp (neg im)) (exp im)))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) (patch #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) (patch #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) (patch #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) (patch #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* im re)) (taylor 0 re) (#s(alt #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)) (patch #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (taylor 0 re) (#s(alt #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)) (patch #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im))))) (taylor 0 re) (#s(alt #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)) (patch #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2))))))))) (taylor 0 re) (#s(alt #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)) (patch #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | im | @ | 0 | ((+ (* (* im im) -1/2520) -1/60) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) (+ (* (* im (+ (* -1/120 (* re re)) 1/6)) (* re re)) (neg im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* im (+ (* -1/120 (* re re)) 1/6)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (- (exp (neg im)) (exp im)) (* (* im im) -1/2520) (+ (* (+ (* (* im im) -1/2520) -1/60) (* im im)) -1/3) (+ (* -1/120 (* re re)) 1/6) (- (exp (neg im)) (exp im)) (+ (* 1/240 (* re re)) -1/12) (+ (* -1/60 (* im im)) -1/3) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (* (+ (* (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (* im im)) -2) im)) |
| 4.0ms | im | @ | inf | ((+ (* (* im im) -1/2520) -1/60) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) (+ (* (* im (+ (* -1/120 (* re re)) 1/6)) (* re re)) (neg im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* im (+ (* -1/120 (* re re)) 1/6)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (- (exp (neg im)) (exp im)) (* (* im im) -1/2520) (+ (* (+ (* (* im im) -1/2520) -1/60) (* im im)) -1/3) (+ (* -1/120 (* re re)) 1/6) (- (exp (neg im)) (exp im)) (+ (* 1/240 (* re re)) -1/12) (+ (* -1/60 (* im im)) -1/3) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (* (+ (* (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (* im im)) -2) im)) |
| 4.0ms | im | @ | -inf | ((+ (* (* im im) -1/2520) -1/60) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) (+ (* (* im (+ (* -1/120 (* re re)) 1/6)) (* re re)) (neg im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* im (+ (* -1/120 (* re re)) 1/6)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (- (exp (neg im)) (exp im)) (* (* im im) -1/2520) (+ (* (+ (* (* im im) -1/2520) -1/60) (* im im)) -1/3) (+ (* -1/120 (* re re)) 1/6) (- (exp (neg im)) (exp im)) (+ (* 1/240 (* re re)) -1/12) (+ (* -1/60 (* im im)) -1/3) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (* (+ (* (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (* im im)) -2) im)) |
| 3.0ms | re | @ | inf | ((+ (* (* im im) -1/2520) -1/60) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) (+ (* (* im (+ (* -1/120 (* re re)) 1/6)) (* re re)) (neg im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* im (+ (* -1/120 (* re re)) 1/6)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (- (exp (neg im)) (exp im)) (* (* im im) -1/2520) (+ (* (+ (* (* im im) -1/2520) -1/60) (* im im)) -1/3) (+ (* -1/120 (* re re)) 1/6) (- (exp (neg im)) (exp im)) (+ (* 1/240 (* re re)) -1/12) (+ (* -1/60 (* im im)) -1/3) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (* (+ (* (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (* im im)) -2) im)) |
| 3.0ms | re | @ | -inf | ((+ (* (* im im) -1/2520) -1/60) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) (+ (* (* im (+ (* -1/120 (* re re)) 1/6)) (* re re)) (neg im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* im (+ (* -1/120 (* re re)) 1/6)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (- (exp (neg im)) (exp im)) (* (* im im) -1/2520) (+ (* (+ (* (* im im) -1/2520) -1/60) (* im im)) -1/3) (+ (* -1/120 (* re re)) 1/6) (- (exp (neg im)) (exp im)) (+ (* 1/240 (* re re)) -1/12) (+ (* -1/60 (* im im)) -1/3) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (* (+ (* (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (* im im)) -2) im)) |
| 1× | egg-herbie |
| 15 792× | lower-fma.f64 |
| 15 792× | lower-fma.f32 |
| 5 694× | lower-+.f64 |
| 5 694× | lower-+.f32 |
| 5 340× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 305 | 4345 |
| 1 | 940 | 4065 |
| 2 | 3049 | 3997 |
| 3 | 7418 | 3997 |
| 0 | 8118 | 3784 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (* re (- (exp (neg im)) (exp im)))) |
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) |
(* 1/2 re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
re |
(* re (+ 1 (* -1/6 (pow re 2)))) |
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) |
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6)))) |
(* re (+ (* -1/2 (exp im)) (* 1/2 (exp (neg im))))) |
(* re (+ (* -1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp (neg im))) (* 1/12 (exp im))))))) |
(* re (+ (* -1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp (neg im))) (+ (* 1/12 (exp im)) (* (pow re 2) (+ (* -1/240 (exp im)) (* 1/240 (exp (neg im))))))))))) |
(* re (+ (* -1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp (neg im))) (+ (* 1/12 (exp im)) (* (pow re 2) (+ (* -1/240 (exp im)) (+ (* 1/240 (exp (neg im))) (* (pow re 2) (+ (* -1/10080 (exp (neg im))) (* 1/10080 (exp im))))))))))))) |
(* -1 im) |
(- (* 1/6 (* im (pow re 2))) im) |
(- (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im))) im) |
(- (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im))) im) |
(* 1/2 (* re (- (exp (neg im)) (exp im)))) |
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) |
(* -1 (* im re)) |
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) |
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im))))) |
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2))))))))) |
(* 1/6 im) |
(+ (* -1/120 (* im (pow re 2))) (* 1/6 im)) |
(+ (* -1/120 (* im (pow re 2))) (* 1/6 im)) |
(+ (* -1/120 (* im (pow re 2))) (* 1/6 im)) |
(* 1/2 (* re (- (exp (neg im)) (exp im)))) |
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) |
(* 1/2 re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
(* 1/2 re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
1/2 |
(+ 1/2 (* -1/12 (pow re 2))) |
(+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))) |
(+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))) |
(* 1/2 (* re (- (exp (neg im)) (exp im)))) |
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) |
1/6 |
(+ 1/6 (* -1/120 (pow re 2))) |
(+ 1/6 (* -1/120 (pow re 2))) |
(+ 1/6 (* -1/120 (pow re 2))) |
-1/12 |
(- (* 1/240 (pow re 2)) 1/12) |
(- (* 1/240 (pow re 2)) 1/12) |
(- (* 1/240 (pow re 2)) 1/12) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(sin re) |
(sin re) |
(sin re) |
(sin re) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) |
(* -1/120 (* im (pow re 4))) |
(* (pow re 4) (+ (* -1/120 im) (* 1/6 (/ im (pow re 2))))) |
(* (pow re 4) (+ (* -1 (/ im (pow re 4))) (+ (* -1/120 im) (* 1/6 (/ im (pow re 2)))))) |
(* (pow re 4) (+ (* -1 (/ im (pow re 4))) (+ (* -1/120 im) (* 1/6 (/ im (pow re 2)))))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1/120 (* im (pow re 2))) |
(* (pow re 2) (+ (* -1/120 im) (* 1/6 (/ im (pow re 2))))) |
(* (pow re 2) (+ (* -1/120 im) (* 1/6 (/ im (pow re 2))))) |
(* (pow re 2) (+ (* -1/120 im) (* 1/6 (/ im (pow re 2))))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/240 (pow re 5)) |
(* (pow re 5) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(* (pow re 5) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2))))) |
(* (pow re 5) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2))))) |
(* 1/240 (pow re 4)) |
(* (pow re 4) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(* (pow re 4) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2))))) |
(* (pow re 4) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2))))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* -1/120 (pow re 2)) |
(* (pow re 2) (- (* 1/6 (/ 1 (pow re 2))) 1/120)) |
(* (pow re 2) (- (* 1/6 (/ 1 (pow re 2))) 1/120)) |
(* (pow re 2) (- (* 1/6 (/ 1 (pow re 2))) 1/120)) |
(* 1/240 (pow re 2)) |
(* (pow re 2) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(* (pow re 2) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(* (pow re 2) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(sin re) |
(sin re) |
(sin re) |
(sin re) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) |
(* -1/120 (* im (pow re 4))) |
(* (pow re 4) (+ (* -1/120 im) (* 1/6 (/ im (pow re 2))))) |
(* (pow re 4) (+ (* -1 (/ im (pow re 4))) (+ (* -1/120 im) (* 1/6 (/ im (pow re 2)))))) |
(* (pow re 4) (+ (* -1 (/ im (pow re 4))) (+ (* -1/120 im) (* 1/6 (/ im (pow re 2)))))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1/120 (* im (pow re 2))) |
(* (pow re 2) (+ (* -1/120 im) (* 1/6 (/ im (pow re 2))))) |
(* (pow re 2) (+ (* -1/120 im) (* 1/6 (/ im (pow re 2))))) |
(* (pow re 2) (+ (* -1/120 im) (* 1/6 (/ im (pow re 2))))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/240 (pow re 5)) |
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) 1/240))) |
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) (+ 1/240 (/ 1/2 (pow re 4)))))) |
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) (+ 1/240 (/ 1/2 (pow re 4)))))) |
(* 1/240 (pow re 4)) |
(* (pow re 4) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(* (pow re 4) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2))))) |
(* (pow re 4) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2))))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* -1/120 (pow re 2)) |
(* (pow re 2) (- (* 1/6 (/ 1 (pow re 2))) 1/120)) |
(* (pow re 2) (- (* 1/6 (/ 1 (pow re 2))) 1/120)) |
(* (pow re 2) (- (* 1/6 (/ 1 (pow re 2))) 1/120)) |
(* 1/240 (pow re 2)) |
(* (pow re 2) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(* (pow re 2) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(* (pow re 2) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
-1/60 |
(- (* -1/2520 (pow im 2)) 1/60) |
(- (* -1/2520 (pow im 2)) 1/60) |
(- (* -1/2520 (pow im 2)) 1/60) |
(* -1 (* im (sin re))) |
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re))))) |
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re))))))) |
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re))))))))) |
(+ (* -1/2 (sin re)) (* 1/2 (sin re))) |
(+ (* -1 (* im (sin re))) (+ (* -1/2 (sin re)) (* 1/2 (sin re)))) |
(+ (* -1/2 (sin re)) (+ (* 1/2 (sin re)) (* im (+ (* -1 (sin re)) (* im (+ (* -1/4 (sin re)) (* 1/4 (sin re)))))))) |
(+ (* -1/2 (sin re)) (+ (* 1/2 (sin re)) (* im (+ (* -1 (sin re)) (* im (+ (* -1/4 (sin re)) (+ (* -1/6 (* im (sin re))) (* 1/4 (sin re))))))))) |
(* im (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1)) |
(* im (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1)) |
(* im (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1)) |
(* im (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1)) |
(* -1 (* im (sin re))) |
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re))))) |
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re))))))) |
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re))))))))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* im (+ 1/6 (* -1/120 (pow re 2)))) |
(* im (+ 1/6 (* -1/120 (pow re 2)))) |
(* im (+ 1/6 (* -1/120 (pow re 2)))) |
(* im (+ 1/6 (* -1/120 (pow re 2)))) |
(* -1 (* im (sin re))) |
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re))))) |
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re))))))) |
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re))))))))) |
(* -1 (* im (sin re))) |
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re))))) |
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re))))))) |
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re))))))))) |
(* -2 im) |
(* im (- (* -1/3 (pow im 2)) 2)) |
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2)) |
(* -2 im) |
(* im (- (* -1/3 (pow im 2)) 2)) |
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2)) |
(* -1/2520 (pow im 2)) |
(* -1/2520 (pow im 2)) |
(* -1/2520 (pow im 2)) |
(* -1/2520 (pow im 2)) |
-1/3 |
(- (* -1/60 (pow im 2)) 1/3) |
(- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3) |
(- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3) |
(* -2 im) |
(* im (- (* -1/3 (pow im 2)) 2)) |
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2)) |
-1/3 |
(- (* -1/60 (pow im 2)) 1/3) |
(- (* -1/60 (pow im 2)) 1/3) |
(- (* -1/60 (pow im 2)) 1/3) |
-1/3 |
(- (* -1/60 (pow im 2)) 1/3) |
(- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3) |
(- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3) |
(* -2 im) |
(* im (- (* -1/3 (pow im 2)) 2)) |
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2)) |
(* -1/2520 (pow im 2)) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) |
(* im (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1)) |
(* im (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1)) |
(* im (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1)) |
(* im (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1)) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* im (+ 1/6 (* -1/120 (pow re 2)))) |
(* im (+ 1/6 (* -1/120 (pow re 2)))) |
(* im (+ 1/6 (* -1/120 (pow re 2)))) |
(* im (+ 1/6 (* -1/120 (pow re 2)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(- (exp (neg im)) (exp im)) |
(- (exp (neg im)) (exp im)) |
(- (exp (neg im)) (exp im)) |
(- (exp (neg im)) (exp im)) |
(- (exp (neg im)) (exp im)) |
(- (exp (neg im)) (exp im)) |
(- (exp (neg im)) (exp im)) |
(- (exp (neg im)) (exp im)) |
(* -1/2520 (pow im 2)) |
(* -1/2520 (pow im 2)) |
(* -1/2520 (pow im 2)) |
(* -1/2520 (pow im 2)) |
(* -1/2520 (pow im 4)) |
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(- (exp (neg im)) (exp im)) |
(- (exp (neg im)) (exp im)) |
(- (exp (neg im)) (exp im)) |
(- (exp (neg im)) (exp im)) |
(* -1/60 (pow im 2)) |
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(* -1/2520 (pow im 4)) |
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(* -1/2520 (pow im 7)) |
(* -1 (* (pow im 7) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* (pow im 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(* (pow im 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 4))) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* -1/2520 (pow im 2)) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re)))) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re)))) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re)))) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re)))) |
(* -1 (* im (+ 1 (* -1 (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))))))) |
(* -1 (* im (+ 1 (* -1 (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))))))) |
(* -1 (* im (+ 1 (* -1 (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))))))) |
(* -1 (* im (+ 1 (* -1 (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))))))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* im (+ 1/6 (* -1/120 (pow re 2)))) |
(* im (+ 1/6 (* -1/120 (pow re 2)))) |
(* im (+ 1/6 (* -1/120 (pow re 2)))) |
(* im (+ 1/6 (* -1/120 (pow re 2)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(- (exp (* -1 im)) (exp im)) |
(- (exp (* -1 im)) (exp im)) |
(- (exp (* -1 im)) (exp im)) |
(- (exp (* -1 im)) (exp im)) |
(- (exp (* -1 im)) (exp im)) |
(- (exp (* -1 im)) (exp im)) |
(- (exp (* -1 im)) (exp im)) |
(- (exp (* -1 im)) (exp im)) |
(* -1/2520 (pow im 2)) |
(* -1/2520 (pow im 2)) |
(* -1/2520 (pow im 2)) |
(* -1/2520 (pow im 2)) |
(* -1/2520 (pow im 4)) |
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(- (exp (* -1 im)) (exp im)) |
(- (exp (* -1 im)) (exp im)) |
(- (exp (* -1 im)) (exp im)) |
(- (exp (* -1 im)) (exp im)) |
(* -1/60 (pow im 2)) |
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(* -1/2520 (pow im 4)) |
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(* -1/2520 (pow im 7)) |
(* -1 (* (pow im 7) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2))))))) |
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (+ (* 1/60 (/ 1 (pow im 2))) (* 2 (/ 1 (pow im 6)))))))) |
| Outputs |
|---|
(* 1/2 (* re (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 re #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (*.f64 re #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) |
(*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) re) |
(* 1/2 re) |
(*.f64 re #s(literal 1/2 binary64)) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
re |
(* re (+ 1 (* -1/6 (pow re 2)))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re) |
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re) |
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6)))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re) |
(* re (+ (* -1/2 (exp im)) (* 1/2 (exp (neg im))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) re) |
(* re (+ (* -1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp (neg im))) (* 1/12 (exp im))))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (exp.f64 im) (/.f64 #s(literal -1/12 binary64) (exp.f64 im))) re) re (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) re) |
(* re (+ (* -1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp (neg im))) (+ (* 1/12 (exp im)) (* (pow re 2) (+ (* -1/240 (exp im)) (* 1/240 (exp (neg im))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/240 binary64) (exp.f64 im) (/.f64 #s(literal 1/240 binary64) (exp.f64 im))) re) re (fma.f64 #s(literal 1/12 binary64) (exp.f64 im) (/.f64 #s(literal -1/12 binary64) (exp.f64 im)))) (*.f64 re re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) re) |
(* re (+ (* -1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp (neg im))) (+ (* 1/12 (exp im)) (* (pow re 2) (+ (* -1/240 (exp im)) (+ (* 1/240 (exp (neg im))) (* (pow re 2) (+ (* -1/10080 (exp (neg im))) (* 1/10080 (exp im))))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/10080 binary64) (exp.f64 im) (/.f64 #s(literal -1/10080 binary64) (exp.f64 im))) re) re (fma.f64 #s(literal -1/240 binary64) (exp.f64 im) (/.f64 #s(literal 1/240 binary64) (exp.f64 im)))) (*.f64 re re) (fma.f64 #s(literal 1/12 binary64) (exp.f64 im) (/.f64 #s(literal -1/12 binary64) (exp.f64 im)))) (*.f64 re re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) re) |
(* -1 im) |
(neg.f64 im) |
(- (* 1/6 (* im (pow re 2))) im) |
(*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) |
(- (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im))) im) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) |
(- (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im))) im) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) |
(* 1/2 (* re (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 re #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (*.f64 re #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) |
(*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) re) |
(* -1 (* im re)) |
(*.f64 (neg.f64 im) re) |
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) |
(*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re) |
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re) |
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2))))))))) |
(*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 im (fma.f64 (*.f64 re re) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)))) re) |
(* 1/6 im) |
(*.f64 #s(literal 1/6 binary64) im) |
(+ (* -1/120 (* im (pow re 2))) (* 1/6 im)) |
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) im) |
(+ (* -1/120 (* im (pow re 2))) (* 1/6 im)) |
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) im) |
(+ (* -1/120 (* im (pow re 2))) (* 1/6 im)) |
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) im) |
(* 1/2 (* re (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 re #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (*.f64 re #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) |
(*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) re) |
(* 1/2 re) |
(*.f64 re #s(literal 1/2 binary64)) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(* 1/2 re) |
(*.f64 re #s(literal 1/2 binary64)) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/12 (pow re 2))) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))) |
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))) |
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(* 1/2 (* re (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 re #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) |
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(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) |
(*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) re) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -1/120 (pow re 2))) |
(fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) |
(+ 1/6 (* -1/120 (pow re 2))) |
(fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) |
(+ 1/6 (* -1/120 (pow re 2))) |
(fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) |
-1/12 |
#s(literal -1/12 binary64) |
(- (* 1/240 (pow re 2)) 1/12) |
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) |
(- (* 1/240 (pow re 2)) 1/12) |
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) |
(- (* 1/240 (pow re 2)) 1/12) |
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
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(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (sin re)) |
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(sin re) |
(sin.f64 re) |
(sin re) |
(sin.f64 re) |
(sin re) |
(sin.f64 re) |
(sin re) |
(sin.f64 re) |
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(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
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(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
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(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
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(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* -1/120 (* im (pow re 4))) |
(*.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/120 binary64)) im) |
(* (pow re 4) (+ (* -1/120 im) (* 1/6 (/ im (pow re 2))))) |
(*.f64 (*.f64 im (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1/120 binary64))) (pow.f64 re #s(literal 4 binary64))) |
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(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
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(*.f64 (neg.f64 (sin.f64 re)) im) |
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(*.f64 (neg.f64 (sin.f64 re)) im) |
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(*.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 re re) im)) |
(* (pow re 2) (+ (* -1/120 im) (* 1/6 (/ im (pow re 2))))) |
(*.f64 (*.f64 im (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1/120 binary64))) (*.f64 re re)) |
(* (pow re 2) (+ (* -1/120 im) (* 1/6 (/ im (pow re 2))))) |
(*.f64 (*.f64 im (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1/120 binary64))) (*.f64 re re)) |
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(*.f64 (*.f64 im (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1/120 binary64))) (*.f64 re re)) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
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(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
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(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
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(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (sin re)) |
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(* 1/2 (sin re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(* 1/2 (sin re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(* 1/2 (sin re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(* 1/240 (pow re 5)) |
(*.f64 (pow.f64 re #s(literal 5 binary64)) #s(literal 1/240 binary64)) |
(* (pow re 5) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(*.f64 (-.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 re re))) (pow.f64 re #s(literal 5 binary64))) |
(* (pow re 5) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/240 binary64)) (/.f64 #s(literal 1/12 binary64) (*.f64 re re))) (pow.f64 re #s(literal 5 binary64))) |
(* (pow re 5) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/240 binary64)) (/.f64 #s(literal 1/12 binary64) (*.f64 re re))) (pow.f64 re #s(literal 5 binary64))) |
(* 1/240 (pow re 4)) |
(*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/240 binary64)) |
(* (pow re 4) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(*.f64 (-.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 re re))) (pow.f64 re #s(literal 4 binary64))) |
(* (pow re 4) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/240 binary64)) (/.f64 #s(literal 1/12 binary64) (*.f64 re re))) (pow.f64 re #s(literal 4 binary64))) |
(* (pow re 4) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/240 binary64)) (/.f64 #s(literal 1/12 binary64) (*.f64 re re))) (pow.f64 re #s(literal 4 binary64))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* -1/120 (pow re 2)) |
(*.f64 #s(literal -1/120 binary64) (*.f64 re re)) |
(* (pow re 2) (- (* 1/6 (/ 1 (pow re 2))) 1/120)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1/120 binary64)) re) re) |
(* (pow re 2) (- (* 1/6 (/ 1 (pow re 2))) 1/120)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1/120 binary64)) re) re) |
(* (pow re 2) (- (* 1/6 (/ 1 (pow re 2))) 1/120)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1/120 binary64)) re) re) |
(* 1/240 (pow re 2)) |
(*.f64 #s(literal 1/240 binary64) (*.f64 re re)) |
(* (pow re 2) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 re re))) re) re) |
(* (pow re 2) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 re re))) re) re) |
(* (pow re 2) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 re re))) re) re) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (sin re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(* 1/2 (sin re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(* 1/2 (sin re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(* 1/2 (sin re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(sin re) |
(sin.f64 re) |
(sin re) |
(sin.f64 re) |
(sin re) |
(sin.f64 re) |
(sin re) |
(sin.f64 re) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
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(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* -1/120 (* im (pow re 4))) |
(*.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/120 binary64)) im) |
(* (pow re 4) (+ (* -1/120 im) (* 1/6 (/ im (pow re 2))))) |
(*.f64 (*.f64 im (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1/120 binary64))) (pow.f64 re #s(literal 4 binary64))) |
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(*.f64 (fma.f64 im (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1/120 binary64)) (/.f64 (neg.f64 im) (pow.f64 re #s(literal 4 binary64)))) (pow.f64 re #s(literal 4 binary64))) |
(* (pow re 4) (+ (* -1 (/ im (pow re 4))) (+ (* -1/120 im) (* 1/6 (/ im (pow re 2)))))) |
(*.f64 (fma.f64 im (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1/120 binary64)) (/.f64 (neg.f64 im) (pow.f64 re #s(literal 4 binary64)))) (pow.f64 re #s(literal 4 binary64))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
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(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* -1 (* im (sin re))) |
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(* -1 (* im (sin re))) |
(*.f64 (neg.f64 (sin.f64 re)) im) |
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(*.f64 (neg.f64 (sin.f64 re)) im) |
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(* -1/120 (* im (pow re 2))) |
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(* (pow re 2) (+ (* -1/120 im) (* 1/6 (/ im (pow re 2))))) |
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(* (pow re 2) (+ (* -1/120 im) (* 1/6 (/ im (pow re 2))))) |
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(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* -1 (* im (sin re))) |
(*.f64 (neg.f64 (sin.f64 re)) im) |
(* -1 (* im (sin re))) |
(*.f64 (neg.f64 (sin.f64 re)) im) |
(* -1 (* im (sin re))) |
(*.f64 (neg.f64 (sin.f64 re)) im) |
(* -1 (* im (sin re))) |
(*.f64 (neg.f64 (sin.f64 re)) im) |
(* im (+ 1/6 (* -1/120 (pow re 2)))) |
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) im) |
(* im (+ 1/6 (* -1/120 (pow re 2)))) |
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) im) |
(* im (+ 1/6 (* -1/120 (pow re 2)))) |
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) im) |
(* im (+ 1/6 (* -1/120 (pow re 2)))) |
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) im) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(- (exp (neg im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (neg im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (neg im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (neg im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (neg im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (neg im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (neg im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (neg im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(* -1/2520 (pow im 2)) |
(*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) |
(* -1/2520 (pow im 2)) |
(*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) |
(* -1/2520 (pow im 2)) |
(*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) |
(* -1/2520 (pow im 2)) |
(*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) |
(* -1/2520 (pow im 4)) |
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/2520 binary64)) |
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(*.f64 (-.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 im im))) (pow.f64 im #s(literal 4 binary64))) |
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal -1/60 binary64)) im) im) #s(literal 1/2520 binary64)) (pow.f64 im #s(literal 4 binary64))) |
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal -1/60 binary64)) im) im) #s(literal 1/2520 binary64)) (pow.f64 im #s(literal 4 binary64))) |
(- (exp (neg im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (neg im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (neg im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (neg im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(* -1/60 (pow im 2)) |
(*.f64 (*.f64 im im) #s(literal -1/60 binary64)) |
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) |
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) |
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) |
(* -1/2520 (pow im 4)) |
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/2520 binary64)) |
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(*.f64 (-.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 im im))) (pow.f64 im #s(literal 4 binary64))) |
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal -1/60 binary64)) im) im) #s(literal 1/2520 binary64)) (pow.f64 im #s(literal 4 binary64))) |
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal -1/60 binary64)) im) im) #s(literal 1/2520 binary64)) (pow.f64 im #s(literal 4 binary64))) |
(* -1/2520 (pow im 7)) |
(*.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/2520 binary64)) |
(* -1 (* (pow im 7) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(*.f64 (-.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 im im))) (pow.f64 im #s(literal 7 binary64))) |
(* (pow im 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(*.f64 (pow.f64 im #s(literal 7 binary64)) (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal -1/60 binary64)) im) im) #s(literal 1/2520 binary64))) |
(* (pow im 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 4))) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(*.f64 (-.f64 (-.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 im im))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 im #s(literal 7 binary64))) |
(* -1/2520 (pow im 2)) |
(*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(+ (* -1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* -1 (* im (+ 1 (* -1 (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) |
(* -1 (* im (+ 1 (* -1 (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) |
(* -1 (* im (+ 1 (* -1 (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) |
(* -1 (* im (+ 1 (* -1 (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* -1 (* im (sin re))) |
(*.f64 (neg.f64 (sin.f64 re)) im) |
(* -1 (* im (sin re))) |
(*.f64 (neg.f64 (sin.f64 re)) im) |
(* -1 (* im (sin re))) |
(*.f64 (neg.f64 (sin.f64 re)) im) |
(* -1 (* im (sin re))) |
(*.f64 (neg.f64 (sin.f64 re)) im) |
(* im (+ 1/6 (* -1/120 (pow re 2)))) |
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) im) |
(* im (+ 1/6 (* -1/120 (pow re 2)))) |
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) im) |
(* im (+ 1/6 (* -1/120 (pow re 2)))) |
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) im) |
(* im (+ 1/6 (* -1/120 (pow re 2)))) |
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) im) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(- (exp (* -1 im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (* -1 im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (* -1 im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (* -1 im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (* -1 im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (* -1 im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (* -1 im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (* -1 im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(* -1/2520 (pow im 2)) |
(*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) |
(* -1/2520 (pow im 2)) |
(*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) |
(* -1/2520 (pow im 2)) |
(*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) |
(* -1/2520 (pow im 2)) |
(*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) |
(* -1/2520 (pow im 4)) |
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/2520 binary64)) |
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(*.f64 (-.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 im im))) (pow.f64 im #s(literal 4 binary64))) |
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal -1/60 binary64)) im) im) #s(literal 1/2520 binary64)) (pow.f64 im #s(literal 4 binary64))) |
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal -1/60 binary64)) im) im) #s(literal 1/2520 binary64)) (pow.f64 im #s(literal 4 binary64))) |
(- (exp (* -1 im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (* -1 im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (* -1 im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (* -1 im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(* -1/60 (pow im 2)) |
(*.f64 (*.f64 im im) #s(literal -1/60 binary64)) |
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) |
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) |
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) |
(* -1/2520 (pow im 4)) |
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/2520 binary64)) |
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(*.f64 (-.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 im im))) (pow.f64 im #s(literal 4 binary64))) |
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal -1/60 binary64)) im) im) #s(literal 1/2520 binary64)) (pow.f64 im #s(literal 4 binary64))) |
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal -1/60 binary64)) im) im) #s(literal 1/2520 binary64)) (pow.f64 im #s(literal 4 binary64))) |
(* -1/2520 (pow im 7)) |
(*.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/2520 binary64)) |
(* -1 (* (pow im 7) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(*.f64 (-.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 im im))) (pow.f64 im #s(literal 7 binary64))) |
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2))))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 im im))) (pow.f64 im #s(literal 7 binary64))) |
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (+ (* 1/60 (/ 1 (pow im 2))) (* 2 (/ 1 (pow im 6)))))))) |
(*.f64 (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/2520 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/60 binary64) (*.f64 im im))))) (pow.f64 im #s(literal 7 binary64))) |
| 5 732× | lower-*.f32 |
| 5 706× | lower-*.f64 |
| 4 234× | lower-/.f64 |
| 4 234× | lower-/.f32 |
| 3 072× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 403 |
| 0 | 100 | 399 |
| 1 | 376 | 393 |
| 2 | 2370 | 393 |
| 0 | 8094 | 385 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
(sin.f64 re) |
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)) |
(*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) |
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) |
(*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) |
(fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) |
(fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) |
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) |
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) |
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) |
#s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) |
(*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3600 binary64)) (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal 1/60 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64)) (pow.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 im im) #s(literal 1/151200 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal 1/60 binary64)) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3600 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 im im) #s(literal 1/151200 binary64)))) (fma.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/3600 binary64) (*.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 im im))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3600 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal 1/60 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 im im) #s(literal 1/151200 binary64))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 4 binary64)) #s(literal 1/12960000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal 1/60 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 6 binary64)) #s(literal 1/46656000000 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 4 binary64)) (+.f64 #s(literal 1/12960000 binary64) (*.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/3600 binary64)))) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal 1/60 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 6 binary64)) #s(literal 1/46656000000 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal -1/216000 binary64)) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 im im) #s(literal 1/151200 binary64)))))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/4098310578334288576512000000000 binary64) (pow.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal -1/10077696000000000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/256096265048064000000 binary64) (pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/46656000000 binary64) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/3456649728000000 binary64)))) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 im im) #s(literal 1/151200 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal 1/60 binary64))) (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal 1/60 binary64)) #s(literal 1/3600 binary64))) (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal 1/60 binary64)) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal 1/60 binary64)))) |
(/.f64 (-.f64 #s(literal 1/3600 binary64) (*.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)))) (-.f64 #s(literal -1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3600 binary64))) (neg.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal 1/60 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64))) (neg.f64 (+.f64 #s(literal 1/3600 binary64) (-.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 im im) #s(literal 1/151200 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64))) (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 im im) #s(literal 1/151200 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3600 binary64)) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal 1/60 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal 1/60 binary64)) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3600 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 im im) #s(literal 1/151200 binary64)))) (fma.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64)) (+.f64 #s(literal 1/3600 binary64) (-.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 im im) #s(literal 1/151200 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64)) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 im im) #s(literal 1/151200 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal 1/60 binary64)) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3600 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 im im) #s(literal 1/151200 binary64)))) (fma.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) |
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) |
(fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) |
(fma.f64 im (*.f64 #s(literal -1/2520 binary64) im) #s(literal -1/60 binary64)) |
(-.f64 (/.f64 #s(literal 1/3600 binary64) (-.f64 #s(literal -1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)))) (/.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal -1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 im im))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal 1/60 binary64))) (/.f64 #s(literal 1/3600 binary64) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal 1/60 binary64)))) |
(+.f64 #s(literal -1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 im im))) |
(+.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal -1/60 binary64)) |
(*.f64 (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (sin.f64 re) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))) |
(*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
(sin.f64 re) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(literal 0 binary64)) |
(*.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) im) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) (*.f64 im (neg.f64 im))) (pow.f64 (fma.f64 (*.f64 (*.f64 re re) im) (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 #s(literal 1 binary64) im)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) im) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64)) (pow.f64 (neg.f64 im) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) im) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) (*.f64 (neg.f64 im) (-.f64 (neg.f64 im) (*.f64 (*.f64 (*.f64 re re) im) (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 re re) im) (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 #s(literal 1 binary64) im)) (fma.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) im) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) (*.f64 im (neg.f64 im)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) im) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) (*.f64 (neg.f64 im) (-.f64 (neg.f64 im) (*.f64 (*.f64 (*.f64 re re) im) (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))))) (fma.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) im) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64)) (pow.f64 (neg.f64 im) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 im im) (*.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) im) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64))))) (neg.f64 (-.f64 (neg.f64 im) (*.f64 (*.f64 (*.f64 re re) im) (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) im) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) im) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) (fma.f64 im im (*.f64 (*.f64 (*.f64 (*.f64 re re) im) (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) im))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) im) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) (*.f64 im (neg.f64 im))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 re re) im) (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 #s(literal 1 binary64) im))))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 re re) #s(literal -1/2880 binary64)))) (fma.f64 #s(literal 1/13824000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/1728 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/13824000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/1728 binary64)) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 (*.f64 re re) #s(literal -1/2880 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/13824000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/1728 binary64)) (fma.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 re re) #s(literal -1/2880 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal 1/12 binary64)) (fma.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/144 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 re re) #s(literal -1/2880 binary64)))) (fma.f64 #s(literal 1/13824000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/1728 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/240 binary64) re) re #s(literal -1/12 binary64)) |
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) |
(fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) |
(fma.f64 re (*.f64 #s(literal 1/240 binary64) re) #s(literal -1/12 binary64)) |
(-.f64 (/.f64 #s(literal 1/144 binary64) (-.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 1/240 binary64) (*.f64 re re)))) (/.f64 (*.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal 1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal 1/12 binary64)))) |
(+.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal -1/12 binary64)) |
(+.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64)) (pow.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64) #s(literal -1/27 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 im im) #s(literal 1/180 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 im im) #s(literal 1/180 binary64)))) (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64) #s(literal -1/27 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)))) (neg.f64 (-.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/60 binary64) (*.f64 im im))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64) #s(literal -1/27 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 im im) #s(literal 1/180 binary64))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 4 binary64)) #s(literal 1/81 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) #s(literal 1/9 binary64)) (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 6 binary64)) #s(literal 1/729 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 4 binary64)) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)) #s(literal 1/9 binary64)))) (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 6 binary64)) #s(literal 1/729 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64)) #s(literal -1/27 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 im im) #s(literal 1/180 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal -1/10077696000000000 binary64) #s(literal -1/19683 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/46656000000 binary64) (-.f64 #s(literal 1/729 binary64) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/5832000 binary64)))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 im im) #s(literal 1/180 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64))) (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64)))) |
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64))) (-.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/60 binary64) (*.f64 im im)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64) #s(literal -1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (*.f64 (*.f64 im im) #s(literal 1/180 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64) #s(literal -1/27 binary64))) (neg.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 im im) #s(literal 1/180 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64)) (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 im im) #s(literal 1/180 binary64)))) (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64) #s(literal -1/27 binary64))))) |
(/.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (*.f64 (*.f64 im im) #s(literal 1/180 binary64))))) |
(/.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64) #s(literal -1/27 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 im im) #s(literal 1/180 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 im im) #s(literal 1/180 binary64)))) (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64) #s(literal -1/27 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) |
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) |
(fma.f64 (*.f64 im im) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) |
(fma.f64 im (*.f64 #s(literal -1/60 binary64) im) #s(literal -1/3 binary64)) |
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/60 binary64) (*.f64 im im)))) (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (-.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/60 binary64) (*.f64 im im))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64)))) |
(+.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) |
(+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/60 binary64) (*.f64 im im))) |
#s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) |
(*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im) |
(*.f64 im (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -4 binary64)) im)) (neg.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -8 binary64)) im)) (neg.f64 (-.f64 (fma.f64 (pow.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) im) (*.f64 im #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 im (fma.f64 (pow.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -4 binary64)))) (neg.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 im (fma.f64 (pow.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -8 binary64)))) (neg.f64 (-.f64 (fma.f64 (pow.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) im) (*.f64 im #s(literal -2 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -4 binary64)) im) (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal 2 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -8 binary64)) im) (-.f64 (fma.f64 (pow.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) im) (*.f64 im #s(literal -2 binary64))))) |
(/.f64 (*.f64 im (fma.f64 (pow.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -4 binary64))) (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal 2 binary64))) |
(/.f64 (*.f64 im (fma.f64 (pow.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -8 binary64))) (-.f64 (fma.f64 (pow.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) im) (*.f64 im #s(literal -2 binary64))))) |
(fma.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) im) im) im (*.f64 #s(literal -2 binary64) im)) |
(fma.f64 #s(literal -2 binary64) im (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) im) im) im)) |
(fma.f64 im (*.f64 (*.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) im) im) (*.f64 im #s(literal -2 binary64))) |
(fma.f64 im #s(literal -2 binary64) (*.f64 im (*.f64 (*.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) im) im))) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) im) im) im) (*.f64 #s(literal -2 binary64) im)) |
(+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) im) im) im)) |
(+.f64 (*.f64 im (*.f64 (*.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) im) im)) (*.f64 im #s(literal -2 binary64))) |
(+.f64 (*.f64 im #s(literal -2 binary64)) (*.f64 im (*.f64 (*.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) im) im))) |
Compiled 20 163 to 2 493 computations (87.6% saved)
28 alts after pruning (20 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 724 | 10 | 734 |
| Fresh | 4 | 10 | 14 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 730 | 28 | 758 |
| Status | Accuracy | Program |
|---|---|---|
| 58.8% | (fma.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))) | |
| ✓ | 71.5% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 69.5% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) | |
| ✓ | 94.2% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
| ✓ | 94.2% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
| ▶ | 93.9% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
| ✓ | 91.2% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
| ✓ | 83.8% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
| ▶ | 58.6% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
| 61.0% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) | |
| 61.8% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) | |
| 57.7% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) | |
| ✓ | 58.8% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 57.7% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) | |
| ▶ | 64.8% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
| 64.8% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) | |
| 62.9% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) | |
| 58.8% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) | |
| 80.9% | #s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) | |
| ✓ | 14.5% | #s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) |
| 89.7% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)) | |
| 91.2% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)) (neg.f64 im)))) | |
| ✓ | 45.8% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) |
| 36.8% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) | |
| 32.7% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(approx (+ (* -1/120 (* re re)) 1/6) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) | |
| ▶ | 36.8% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
| 32.7% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re))) | |
| ▶ | 31.2% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) |
Compiled 821 to 624 computations (24% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) | |
| cost-diff | 0 | #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) | |
| cost-diff | 0 | #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) | |
| cost-diff | 0 | (*.f64 re #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) | |
| cost-diff | 0 | #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re)) | |
| cost-diff | 0 | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) | |
| cost-diff | 0 | (neg.f64 im) | |
| cost-diff | 0 | (*.f64 (neg.f64 im) re) | |
| cost-diff | 0 | #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)) | |
| cost-diff | 0 | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) | |
| cost-diff | 0 | #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) | |
| cost-diff | 0 | (sin.f64 re) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
| 9 258× | lower-fma.f32 |
| 9 236× | lower-fma.f64 |
| 4 284× | lower-*.f32 |
| 4 252× | lower-*.f64 |
| 1 618× | lower-+.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 676 |
| 0 | 112 | 660 |
| 1 | 194 | 660 |
| 2 | 361 | 660 |
| 3 | 892 | 657 |
| 4 | 2233 | 657 |
| 5 | 4203 | 657 |
| 6 | 5616 | 657 |
| 7 | 6977 | 657 |
| 0 | 8288 | 657 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
#s(literal 1/2 binary64) |
(sin.f64 re) |
re |
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) |
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im) |
(fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) |
(fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) |
#s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) |
(*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) |
(*.f64 im im) |
im |
#s(literal -1/2520 binary64) |
#s(literal -1/3 binary64) |
#s(literal -2 binary64) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) |
#s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)) |
(*.f64 (neg.f64 im) re) |
(neg.f64 im) |
im |
re |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) |
(fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) |
#s(literal -1/120 binary64) |
(*.f64 re re) |
re |
#s(literal 1/6 binary64) |
#s(literal -1 binary64) |
im |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) |
(*.f64 re #s(literal 1/2 binary64)) |
re |
#s(literal 1/2 binary64) |
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) |
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) |
(*.f64 #s(literal -1/2520 binary64) im) |
#s(literal -1/2520 binary64) |
im |
#s(literal -1/60 binary64) |
(*.f64 im im) |
#s(literal -1/3 binary64) |
#s(literal -2 binary64) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) |
(fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) |
#s(literal -1/10080 binary64) |
(*.f64 re re) |
re |
#s(literal 1/240 binary64) |
#s(literal -1/12 binary64) |
#s(literal 1/2 binary64) |
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) |
(*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im) |
(fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) |
#s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(*.f64 im im) |
im |
#s(literal -2 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (neg im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 5 binary64)) #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) im)))) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sin.f64 re) |
re |
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) |
#s(approx (- (exp (neg im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 5 binary64)) #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) im))) |
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im) |
(fma.f64 (pow.f64 im #s(literal 5 binary64)) #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) im)) |
(fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im)) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64))) |
(fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) |
(fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im)) (*.f64 im im) #s(literal -1/3 binary64)) |
#s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) |
#s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im)) |
(*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) |
(*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) |
(*.f64 im im) |
im |
#s(literal -1/2520 binary64) |
#s(literal -1/3 binary64) |
#s(literal -2 binary64) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) |
#s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)) |
(*.f64 (neg.f64 im) re) |
(neg.f64 im) |
im |
re |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64)) re) (neg.f64 im)))) |
#s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re)) |
#s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64)) re) (neg.f64 im))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64)) re) (neg.f64 im)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) |
(*.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) |
(fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) |
#s(literal -1/120 binary64) |
(*.f64 re re) |
re |
#s(literal 1/6 binary64) |
#s(literal -1 binary64) |
im |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (- (exp (neg im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/2520 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) im))) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) |
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) |
(*.f64 re #s(literal 1/2 binary64)) |
re |
#s(literal 1/2 binary64) |
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) |
#s(approx (- (exp (neg im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/2520 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) im))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im) |
(fma.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/2520 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) im)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) |
(fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/2520 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) im) im #s(literal -2 binary64))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/2520 binary64) (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64))) |
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) |
(*.f64 #s(literal -1/2520 binary64) im) |
#s(literal -1/2520 binary64) |
im |
#s(literal -1/60 binary64) |
(*.f64 im im) |
#s(literal -1/3 binary64) |
#s(literal -2 binary64) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) |
(fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) |
#s(literal -1/10080 binary64) |
(*.f64 re re) |
re |
#s(literal 1/240 binary64) |
#s(literal -1/12 binary64) |
#s(literal 1/2 binary64) |
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) |
(*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im) |
(fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) |
#s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(*.f64 im im) |
im |
#s(literal -2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.29972214656985474 | (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) | |
| accuracy | 3.6312593476722435 | #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) | |
| accuracy | 28.486321949590142 | #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) | |
| accuracy | 34.85187397967044 | #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) | |
| accuracy | 0.05078125 | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) | |
| accuracy | 0.0859375 | (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) | |
| accuracy | 3.6312593476722435 | #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) | |
| accuracy | 28.67596919840182 | #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) | |
| accuracy | 0.3155376460408148 | (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) | |
| accuracy | 1.6916362042322413 | (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) | |
| accuracy | 28.319951341330405 | #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re)) | |
| accuracy | 34.615433695821 | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) | |
| accuracy | 0 | (*.f64 (neg.f64 im) re) | |
| accuracy | 0 | (neg.f64 im) | |
| accuracy | 28.529716230642613 | #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)) | |
| accuracy | 34.615433695821 | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) | |
| accuracy | 0.05078125 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) | |
| accuracy | 0.13671875 | (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) | |
| accuracy | 3.6312593476722435 | #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) | |
| accuracy | 27.67925055073582 | #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) |
| 101.0ms | 149× | 0 | valid |
| 68.0ms | 68× | 1 | valid |
| 49.0ms | 39× | 2 | valid |
Compiled 444 to 62 computations (86% saved)
ival-mult: 55.0ms (32.3% of total)ival-sin: 29.0ms (17% of total)const: 28.0ms (16.4% of total)ival-add: 21.0ms (12.3% of total)ival-exp: 18.0ms (10.6% of total)adjust: 16.0ms (9.4% of total)ival-sub: 2.0ms (1.2% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ()) |
#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ()) |
#s(alt #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) (patch #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)) (patch #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 im) re) (patch (*.f64 (neg.f64 im) re) #<representation binary64>) () ()) |
#s(alt (neg.f64 im) (patch (neg.f64 im) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) (patch #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re)) (patch #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) (patch (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ()) |
#s(alt #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (patch #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 re #s(literal 1/2 binary64)) (patch (*.f64 re #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ()) |
#s(alt #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) (patch #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (patch #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) (patch (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (patch (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (patch #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (patch (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (* re (- (exp (neg im)) (exp im)))) (taylor 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) (taylor 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) (taylor 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) (taylor 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 re) (taylor 0 re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ 1/2 (* -1/12 (pow re 2)))) (taylor 0 re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) (taylor 0 re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) (taylor 0 re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt re (taylor 0 re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ 1 (* -1/6 (pow re 2)))) (taylor 0 re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) (taylor 0 re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6)))) (taylor 0 re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* re (- (exp (neg im)) (exp im)))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) (patch #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) (patch #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) (patch #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) (patch #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* im re)) (taylor 0 re) (#s(alt #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)) (patch #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (taylor 0 re) (#s(alt #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)) (patch #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im))))) (taylor 0 re) (#s(alt #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)) (patch #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2))))))))) (taylor 0 re) (#s(alt #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)) (patch #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* im re)) (taylor 0 re) (#s(alt (*.f64 (neg.f64 im) re) (patch (*.f64 (neg.f64 im) re) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* im re)) (taylor 0 re) (#s(alt (*.f64 (neg.f64 im) re) (patch (*.f64 (neg.f64 im) re) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* im re)) (taylor 0 re) (#s(alt (*.f64 (neg.f64 im) re) (patch (*.f64 (neg.f64 im) re) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* im re)) (taylor 0 re) (#s(alt (*.f64 (neg.f64 im) re) (patch (*.f64 (neg.f64 im) re) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* re (- (exp (neg im)) (exp im)))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) (patch #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) (patch #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) (patch #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) (patch #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* im re)) (taylor 0 re) (#s(alt #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re)) (patch #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re)) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (taylor 0 re) (#s(alt #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re)) (patch #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re)) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im))))) (taylor 0 re) (#s(alt #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re)) (patch #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re)) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2))))))))) (taylor 0 re) (#s(alt #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re)) (patch #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 im) (taylor 0 re) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) (patch (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) #<representation binary64>) () ())) ()) |
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#s(alt (* -1/2520 (pow im 2)) (taylor -inf im) (#s(alt (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) (patch (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | re | @ | -inf | ((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* (neg im) re) (neg im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* (+ (* (+ (* -1/120 (* re re)) 1/6) (* re re)) -1) im) (+ (* (+ (* -1/120 (* re re)) 1/6) (* re re)) -1) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) (+ (* (* im im) -1/2520) -1/60) (* (* im im) -1/2520) (+ (* -1/120 (* re re)) 1/6) (+ (* (* -1/2520 im) im) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (- (exp (neg im)) (exp im)) (+ (* -1/10080 (* re re)) 1/240)) |
| 3.0ms | im | @ | inf | ((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* (neg im) re) (neg im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* (+ (* (+ (* -1/120 (* re re)) 1/6) (* re re)) -1) im) (+ (* (+ (* -1/120 (* re re)) 1/6) (* re re)) -1) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) (+ (* (* im im) -1/2520) -1/60) (* (* im im) -1/2520) (+ (* -1/120 (* re re)) 1/6) (+ (* (* -1/2520 im) im) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (- (exp (neg im)) (exp im)) (+ (* -1/10080 (* re re)) 1/240)) |
| 3.0ms | re | @ | inf | ((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* (neg im) re) (neg im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* (+ (* (+ (* -1/120 (* re re)) 1/6) (* re re)) -1) im) (+ (* (+ (* -1/120 (* re re)) 1/6) (* re re)) -1) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) (+ (* (* im im) -1/2520) -1/60) (* (* im im) -1/2520) (+ (* -1/120 (* re re)) 1/6) (+ (* (* -1/2520 im) im) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (- (exp (neg im)) (exp im)) (+ (* -1/10080 (* re re)) 1/240)) |
| 3.0ms | im | @ | -inf | ((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* (neg im) re) (neg im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* (+ (* (+ (* -1/120 (* re re)) 1/6) (* re re)) -1) im) (+ (* (+ (* -1/120 (* re re)) 1/6) (* re re)) -1) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) (+ (* (* im im) -1/2520) -1/60) (* (* im im) -1/2520) (+ (* -1/120 (* re re)) 1/6) (+ (* (* -1/2520 im) im) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (- (exp (neg im)) (exp im)) (+ (* -1/10080 (* re re)) 1/240)) |
| 3.0ms | im | @ | 0 | ((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* (neg im) re) (neg im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* (+ (* (+ (* -1/120 (* re re)) 1/6) (* re re)) -1) im) (+ (* (+ (* -1/120 (* re re)) 1/6) (* re re)) -1) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) (+ (* (* im im) -1/2520) -1/60) (* (* im im) -1/2520) (+ (* -1/120 (* re re)) 1/6) (+ (* (* -1/2520 im) im) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (- (exp (neg im)) (exp im)) (+ (* -1/10080 (* re re)) 1/240)) |
| 1× | egg-herbie |
| 10 196× | lower-fma.f64 |
| 10 196× | lower-fma.f32 |
| 4 380× | lower-*.f64 |
| 4 380× | lower-*.f32 |
| 3 318× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 223 | 4300 |
| 1 | 647 | 4105 |
| 2 | 1965 | 4022 |
| 3 | 4701 | 3962 |
| 4 | 7422 | 3942 |
| 0 | 8107 | 3744 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (* re (- (exp (neg im)) (exp im)))) |
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) |
(* 1/2 re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
re |
(* re (+ 1 (* -1/6 (pow re 2)))) |
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) |
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6)))) |
(* 1/2 (* re (- (exp (neg im)) (exp im)))) |
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) |
(* -1 (* im re)) |
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) |
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im))))) |
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2))))))))) |
(* -1 (* im re)) |
(* -1 (* im re)) |
(* -1 (* im re)) |
(* -1 (* im re)) |
(* 1/2 (* re (- (exp (neg im)) (exp im)))) |
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) |
(* -1 (* im re)) |
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) |
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im))))) |
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2))))))))) |
(* -1 im) |
(+ (* -1 im) (* 1/6 (* im (pow re 2)))) |
(+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))) |
(+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))) |
-1 |
(- (* 1/6 (pow re 2)) 1) |
(- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1) |
(- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1) |
(* 1/2 (* re (- (exp (neg im)) (exp im)))) |
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) |
(* 1/2 re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
(* 1/2 re) |
(* 1/2 re) |
(* 1/2 re) |
(* 1/2 re) |
(* 1/2 (* re (- (exp (neg im)) (exp im)))) |
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) |
(* 1/2 re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
(* 1/2 re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
1/2 |
(+ 1/2 (* -1/12 (pow re 2))) |
(+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))) |
1/6 |
(+ 1/6 (* -1/120 (pow re 2))) |
(+ 1/6 (* -1/120 (pow re 2))) |
(+ 1/6 (* -1/120 (pow re 2))) |
1/240 |
(+ 1/240 (* -1/10080 (pow re 2))) |
(+ 1/240 (* -1/10080 (pow re 2))) |
(+ 1/240 (* -1/10080 (pow re 2))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(sin re) |
(sin re) |
(sin re) |
(sin re) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im re)) |
(* -1 (* im re)) |
(* -1 (* im re)) |
(* -1 (* im re)) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1/120 (* im (pow re 4))) |
(* (pow re 4) (+ (* -1/120 im) (* 1/6 (/ im (pow re 2))))) |
(* (pow re 4) (+ (* -1 (/ im (pow re 4))) (+ (* -1/120 im) (* 1/6 (/ im (pow re 2)))))) |
(* (pow re 4) (+ (* -1 (/ im (pow re 4))) (+ (* -1/120 im) (* 1/6 (/ im (pow re 2)))))) |
(* -1/120 (pow re 4)) |
(* (pow re 4) (- (* 1/6 (/ 1 (pow re 2))) 1/120)) |
(* (pow re 4) (- (* 1/6 (/ 1 (pow re 2))) (+ 1/120 (/ 1 (pow re 4))))) |
(* (pow re 4) (- (* 1/6 (/ 1 (pow re 2))) (+ 1/120 (/ 1 (pow re 4))))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 re) |
(* 1/2 re) |
(* 1/2 re) |
(* 1/2 re) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* -1/10080 (pow re 7)) |
(* (pow re 7) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* (pow re 7) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(* (pow re 7) (- (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(* -1/10080 (pow re 6)) |
(* (pow re 6) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* (pow re 6) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(* (pow re 6) (- (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(* -1/120 (pow re 2)) |
(* (pow re 2) (- (* 1/6 (/ 1 (pow re 2))) 1/120)) |
(* (pow re 2) (- (* 1/6 (/ 1 (pow re 2))) 1/120)) |
(* (pow re 2) (- (* 1/6 (/ 1 (pow re 2))) 1/120)) |
(* -1/10080 (pow re 2)) |
(* (pow re 2) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* (pow re 2) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* (pow re 2) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(sin re) |
(sin re) |
(sin re) |
(sin re) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im re)) |
(* -1 (* im re)) |
(* -1 (* im re)) |
(* -1 (* im re)) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1/120 (* im (pow re 4))) |
(* (pow re 4) (+ (* -1/120 im) (* 1/6 (/ im (pow re 2))))) |
(* (pow re 4) (+ (* -1 (/ im (pow re 4))) (+ (* -1/120 im) (* 1/6 (/ im (pow re 2)))))) |
(* (pow re 4) (+ (* -1 (/ im (pow re 4))) (+ (* -1/120 im) (* 1/6 (/ im (pow re 2)))))) |
(* -1/120 (pow re 4)) |
(* (pow re 4) (- (* 1/6 (/ 1 (pow re 2))) 1/120)) |
(* (pow re 4) (- (* 1/6 (/ 1 (pow re 2))) (+ 1/120 (/ 1 (pow re 4))))) |
(* (pow re 4) (- (* 1/6 (/ 1 (pow re 2))) (+ 1/120 (/ 1 (pow re 4))))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 re) |
(* 1/2 re) |
(* 1/2 re) |
(* 1/2 re) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* -1/10080 (pow re 7)) |
(* -1 (* (pow re 7) (- 1/10080 (* 1/240 (/ 1 (pow re 2)))))) |
(* -1 (* (pow re 7) (- (+ 1/10080 (/ 1/12 (pow re 4))) (* 1/240 (/ 1 (pow re 2)))))) |
(* -1 (* (pow re 7) (- (+ 1/10080 (/ 1/12 (pow re 4))) (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6))))))) |
(* -1/10080 (pow re 6)) |
(* (pow re 6) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* (pow re 6) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(* (pow re 6) (- (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(* -1/120 (pow re 2)) |
(* (pow re 2) (- (* 1/6 (/ 1 (pow re 2))) 1/120)) |
(* (pow re 2) (- (* 1/6 (/ 1 (pow re 2))) 1/120)) |
(* (pow re 2) (- (* 1/6 (/ 1 (pow re 2))) 1/120)) |
(* -1/10080 (pow re 2)) |
(* (pow re 2) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* (pow re 2) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* (pow re 2) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* -1 (* im (sin re))) |
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re))))) |
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re))))))) |
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re))))))))) |
(* -2 im) |
(* im (- (* -1/3 (pow im 2)) 2)) |
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2)) |
(* -1 (* im (sin re))) |
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re))))) |
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re))))))) |
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re))))))))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im re)) |
(* -1 (* im re)) |
(* -1 (* im re)) |
(* -1 (* im re)) |
(* -1 im) |
(* -1 im) |
(* -1 im) |
(* -1 im) |
(* -1 (* im (sin re))) |
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re))))) |
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re))))))) |
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re))))))))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* im (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1)) |
(* im (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1)) |
(* im (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1)) |
(* im (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1)) |
(* -1 (* im (sin re))) |
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re))))) |
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re))))))) |
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re))))))))) |
(* -2 im) |
(* im (- (* -1/3 (pow im 2)) 2)) |
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2)) |
(* -1 (* im (sin re))) |
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re))))) |
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re))))))) |
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re))))))))) |
-1/60 |
(- (* -1/2520 (pow im 2)) 1/60) |
(- (* -1/2520 (pow im 2)) 1/60) |
(- (* -1/2520 (pow im 2)) 1/60) |
(* -1/2520 (pow im 2)) |
(* -1/2520 (pow im 2)) |
(* -1/2520 (pow im 2)) |
(* -1/2520 (pow im 2)) |
-1/60 |
(- (* -1/2520 (pow im 2)) 1/60) |
(- (* -1/2520 (pow im 2)) 1/60) |
(- (* -1/2520 (pow im 2)) 1/60) |
-1/3 |
(- (* -1/60 (pow im 2)) 1/3) |
(- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3) |
(- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3) |
(* -2 im) |
(* im (- (* -1/3 (pow im 2)) 2)) |
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2)) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(- (exp (neg im)) (exp im)) |
(- (exp (neg im)) (exp im)) |
(- (exp (neg im)) (exp im)) |
(- (exp (neg im)) (exp im)) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im re)) |
(* -1 (* im re)) |
(* -1 (* im re)) |
(* -1 (* im re)) |
(* -1 im) |
(* -1 im) |
(* -1 im) |
(* -1 im) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* im (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1)) |
(* im (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1)) |
(* im (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1)) |
(* im (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1)) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(- (exp (neg im)) (exp im)) |
(- (exp (neg im)) (exp im)) |
(- (exp (neg im)) (exp im)) |
(- (exp (neg im)) (exp im)) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* -1/2520 (pow im 2)) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* -1/2520 (pow im 2)) |
(* -1/2520 (pow im 2)) |
(* -1/2520 (pow im 2)) |
(* -1/2520 (pow im 2)) |
(* -1/2520 (pow im 2)) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* -1/2520 (pow im 4)) |
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(- (exp (neg im)) (exp im)) |
(- (exp (neg im)) (exp im)) |
(- (exp (neg im)) (exp im)) |
(- (exp (neg im)) (exp im)) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(- (exp (* -1 im)) (exp im)) |
(- (exp (* -1 im)) (exp im)) |
(- (exp (* -1 im)) (exp im)) |
(- (exp (* -1 im)) (exp im)) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im re)) |
(* -1 (* im re)) |
(* -1 (* im re)) |
(* -1 (* im re)) |
(* -1 im) |
(* -1 im) |
(* -1 im) |
(* -1 im) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* -1 (* im (sin re))) |
(* im (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1)) |
(* im (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1)) |
(* im (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1)) |
(* im (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1)) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(- (exp (* -1 im)) (exp im)) |
(- (exp (* -1 im)) (exp im)) |
(- (exp (* -1 im)) (exp im)) |
(- (exp (* -1 im)) (exp im)) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(* -1/2520 (pow im 2)) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* -1/2520 (pow im 2)) |
(* -1/2520 (pow im 2)) |
(* -1/2520 (pow im 2)) |
(* -1/2520 (pow im 2)) |
(* -1/2520 (pow im 2)) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* -1/2520 (pow im 4)) |
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(- (exp (* -1 im)) (exp im)) |
(- (exp (* -1 im)) (exp im)) |
(- (exp (* -1 im)) (exp im)) |
(- (exp (* -1 im)) (exp im)) |
| Outputs |
|---|
(* 1/2 (* re (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 re #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) |
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 re re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) re) |
(* 1/2 re) |
(*.f64 re #s(literal 1/2 binary64)) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
re |
(* re (+ 1 (* -1/6 (pow re 2)))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re) |
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re) |
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6)))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re) |
(* 1/2 (* re (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 re #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) |
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 re re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) re) |
(* -1 (* im re)) |
(*.f64 (neg.f64 im) re) |
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) |
(*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re) |
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re) |
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2))))))))) |
(*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 im (fma.f64 #s(literal 1/5040 binary64) (*.f64 re re) #s(literal -1/120 binary64))) (*.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)))) re) |
(* -1 (* im re)) |
(*.f64 (neg.f64 im) re) |
(* -1 (* im re)) |
(*.f64 (neg.f64 im) re) |
(* -1 (* im re)) |
(*.f64 (neg.f64 im) re) |
(* -1 (* im re)) |
(*.f64 (neg.f64 im) re) |
(* 1/2 (* re (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 re #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) |
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 re re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) re) |
(* -1 (* im re)) |
(*.f64 (neg.f64 im) re) |
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) |
(*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re) |
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re) |
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2))))))))) |
(*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 im (fma.f64 #s(literal 1/5040 binary64) (*.f64 re re) #s(literal -1/120 binary64))) (*.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)))) re) |
(* -1 im) |
(neg.f64 im) |
(+ (* -1 im) (* 1/6 (* im (pow re 2)))) |
(*.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) |
(+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) |
(+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) |
-1 |
#s(literal -1 binary64) |
(- (* 1/6 (pow re 2)) 1) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) |
(- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1) |
(fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) |
(- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1) |
(fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) |
(* 1/2 (* re (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 re #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) |
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re) |
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 re re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) re) |
(* 1/2 re) |
(*.f64 re #s(literal 1/2 binary64)) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
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(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
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(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
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(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(- (exp (neg im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (neg im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (neg im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (neg im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
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(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
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(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* -1 (* im (sin re))) |
(*.f64 (neg.f64 (sin.f64 re)) im) |
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(*.f64 (neg.f64 (sin.f64 re)) im) |
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(*.f64 (neg.f64 (sin.f64 re)) im) |
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(*.f64 (neg.f64 (sin.f64 re)) im) |
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(*.f64 (neg.f64 im) re) |
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(*.f64 (neg.f64 im) re) |
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(*.f64 (neg.f64 im) re) |
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(*.f64 (neg.f64 im) re) |
(* -1 im) |
(neg.f64 im) |
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(neg.f64 im) |
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(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
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(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
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(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* -1 (* im (sin re))) |
(*.f64 (neg.f64 (sin.f64 re)) im) |
(* -1 (* im (sin re))) |
(*.f64 (neg.f64 (sin.f64 re)) im) |
(* -1 (* im (sin re))) |
(*.f64 (neg.f64 (sin.f64 re)) im) |
(* -1 (* im (sin re))) |
(*.f64 (neg.f64 (sin.f64 re)) im) |
(* im (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1)) |
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(* im (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) |
(* im (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) |
(* im (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(- (exp (neg im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (neg im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (neg im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (neg im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* -1/2520 (pow im 2)) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) |
(* -1/2520 (pow im 2)) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) |
(* -1/2520 (pow im 2)) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) |
(* -1/2520 (pow im 2)) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) |
(* -1/2520 (pow im 2)) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) |
(* -1/2520 (pow im 2)) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) |
(* -1/2520 (pow im 4)) |
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/2520 binary64)) |
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/2520 binary64) (*.f64 #s(literal -1/60 binary64) (*.f64 im im))) |
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(fma.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 im im))) (*.f64 im im) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/2520 binary64))) |
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(fma.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 im im))) (*.f64 im im) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/2520 binary64))) |
(- (exp (neg im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (neg im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (neg im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (neg im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(- (exp (* -1 im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (* -1 im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (* -1 im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (* -1 im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* -1 (* im (sin re))) |
(*.f64 (neg.f64 (sin.f64 re)) im) |
(* -1 (* im (sin re))) |
(*.f64 (neg.f64 (sin.f64 re)) im) |
(* -1 (* im (sin re))) |
(*.f64 (neg.f64 (sin.f64 re)) im) |
(* -1 (* im (sin re))) |
(*.f64 (neg.f64 (sin.f64 re)) im) |
(* -1 (* im re)) |
(*.f64 (neg.f64 im) re) |
(* -1 (* im re)) |
(*.f64 (neg.f64 im) re) |
(* -1 (* im re)) |
(*.f64 (neg.f64 im) re) |
(* -1 (* im re)) |
(*.f64 (neg.f64 im) re) |
(* -1 im) |
(neg.f64 im) |
(* -1 im) |
(neg.f64 im) |
(* -1 im) |
(neg.f64 im) |
(* -1 im) |
(neg.f64 im) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* -1 (* im (sin re))) |
(*.f64 (neg.f64 (sin.f64 re)) im) |
(* -1 (* im (sin re))) |
(*.f64 (neg.f64 (sin.f64 re)) im) |
(* -1 (* im (sin re))) |
(*.f64 (neg.f64 (sin.f64 re)) im) |
(* -1 (* im (sin re))) |
(*.f64 (neg.f64 (sin.f64 re)) im) |
(* im (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) |
(* im (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) |
(* im (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) |
(* im (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(- (exp (* -1 im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (* -1 im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (* -1 im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (* -1 im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(* -1/2520 (pow im 2)) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) |
(* -1/2520 (pow im 2)) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) |
(* -1/2520 (pow im 2)) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) |
(* -1/2520 (pow im 2)) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) |
(* -1/2520 (pow im 2)) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) |
(* -1/2520 (pow im 2)) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) |
(* -1/2520 (pow im 4)) |
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/2520 binary64)) |
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/2520 binary64) (*.f64 #s(literal -1/60 binary64) (*.f64 im im))) |
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(fma.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 im im))) (*.f64 im im) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/2520 binary64))) |
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(fma.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 im im))) (*.f64 im im) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/2520 binary64))) |
(- (exp (* -1 im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (* -1 im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (* -1 im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (exp (* -1 im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 5 002× | lower-fma.f32 |
| 4 980× | lower-fma.f64 |
| 4 116× | lower-*.f32 |
| 4 084× | lower-*.f64 |
| 3 102× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 451 |
| 0 | 112 | 442 |
| 1 | 389 | 442 |
| 2 | 2183 | 442 |
| 0 | 8099 | 442 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
(sin.f64 re) |
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) |
#s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)) |
(*.f64 (neg.f64 im) re) |
(neg.f64 im) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) |
(fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) |
(*.f64 re #s(literal 1/2 binary64)) |
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
#s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) |
(*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) |
(fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) |
#s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) |
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) |
(fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (sin.f64 re)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) |
(*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (sin.f64 re))) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
(sin.f64 re) |
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) |
#s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)) |
(*.f64 (*.f64 re #s(literal -1 binary64)) im) |
(*.f64 #s(literal -1 binary64) (*.f64 im re)) |
(*.f64 (neg.f64 im) re) |
(*.f64 im (neg.f64 re)) |
(*.f64 re (neg.f64 im)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 im re) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 im re) (*.f64 im re) (*.f64 #s(literal 0 binary64) (*.f64 im re))))) |
(neg.f64 (*.f64 im re)) |
(-.f64 #s(literal 0 binary64) (*.f64 im re)) |
(*.f64 #s(literal -1 binary64) im) |
(*.f64 im (log.f64 (exp.f64 #s(literal -1 binary64)))) |
(*.f64 im #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 im) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 im) (neg.f64 im)) (*.f64 #s(literal 0 binary64) (neg.f64 im))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im))) (neg.f64 (+.f64 #s(literal 0 binary64) im))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im)))) |
(neg.f64 (log.f64 (/.f64 (exp.f64 im) #s(literal 1 binary64)))) |
(neg.f64 im) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) im)) (/.f64 (*.f64 im im) (+.f64 #s(literal 0 binary64) im))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im)))) (/.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im))))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 im)))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (exp.f64 im) #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) im) |
(+.f64 #s(literal 0 binary64) (neg.f64 im)) |
(log.f64 (exp.f64 (neg.f64 im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) |
(*.f64 im (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) im) #s(literal 3 binary64)) (pow.f64 (neg.f64 im) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) im) (-.f64 (*.f64 (neg.f64 im) (neg.f64 im)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) im) (neg.f64 im))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 im (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re)) #s(literal 3 binary64)) (pow.f64 (neg.f64 im) #s(literal 3 binary64))) (fma.f64 (*.f64 im (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re)) (*.f64 im (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re)) (-.f64 (*.f64 (neg.f64 im) (neg.f64 im)) (*.f64 (*.f64 im (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re)) (neg.f64 im))))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) im) #s(literal 3 binary64))) (fma.f64 (neg.f64 im) (neg.f64 im) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) im)) (*.f64 (neg.f64 im) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) im))))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (pow.f64 (*.f64 im (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re)) #s(literal 3 binary64))) (fma.f64 (neg.f64 im) (neg.f64 im) (-.f64 (*.f64 (*.f64 im (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re)) (*.f64 im (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re))) (*.f64 (neg.f64 im) (*.f64 im (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) #s(literal -1 binary64)) im)) (neg.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64)) #s(literal -1 binary64)) im)) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) (*.f64 re #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 im (fma.f64 (pow.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 im (fma.f64 (pow.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) (*.f64 re #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) #s(literal -1 binary64)) im) (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64)) #s(literal -1 binary64)) im) (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) (*.f64 re #s(literal -1 binary64))))) |
(/.f64 (*.f64 im (fma.f64 (pow.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) |
(/.f64 (*.f64 im (fma.f64 (pow.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64)) #s(literal -1 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) (*.f64 re #s(literal -1 binary64))))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) im (neg.f64 im)) |
(fma.f64 #s(literal -1 binary64) im (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) im)) |
(fma.f64 #s(literal -1 binary64) im (*.f64 im (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re))) |
(fma.f64 im (log.f64 (exp.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) im)) |
(fma.f64 im (log.f64 (exp.f64 #s(literal -1 binary64))) (*.f64 im (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re))) |
(fma.f64 im (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) (neg.f64 im)) |
(fma.f64 im #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) im)) |
(fma.f64 im #s(literal -1 binary64) (*.f64 im (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re))) |
(+.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) im) (neg.f64 im)) |
(+.f64 (*.f64 im (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re)) (neg.f64 im)) |
(+.f64 (neg.f64 im) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) im)) |
(+.f64 (neg.f64 im) (*.f64 im (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re))) |
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(/.f64 (neg.f64 (-.f64 #s(literal 1/3600 binary64) (*.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -1/60 binary64) (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3600 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal 1/60 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 im im) #s(literal 1/151200 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal 1/60 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal 1/60 binary64)) #s(literal 1/3600 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal 1/60 binary64)) (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal 1/60 binary64)))) |
(/.f64 (-.f64 #s(literal 1/3600 binary64) (*.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)))) (-.f64 #s(literal -1/60 binary64) (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3600 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal 1/60 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64))) (neg.f64 (+.f64 #s(literal 1/3600 binary64) (-.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 im im) #s(literal 1/151200 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64))) (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 im im) #s(literal 1/151200 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3600 binary64)) (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal 1/60 binary64))) |
(/.f64 (fma.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64)) (+.f64 #s(literal 1/3600 binary64) (-.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 im im) #s(literal 1/151200 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64)) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 im im) #s(literal 1/151200 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal 1/60 binary64)) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3600 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 im im) #s(literal 1/151200 binary64)))) (fma.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal 1/60 binary64)) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3600 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 im im) #s(literal 1/151200 binary64)))) (fma.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64))))) |
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) |
(fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) |
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) |
(fma.f64 im (*.f64 #s(literal -1/2520 binary64) im) #s(literal -1/60 binary64)) |
(-.f64 (/.f64 #s(literal 1/3600 binary64) (-.f64 #s(literal -1/60 binary64) (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im))) (/.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal -1/60 binary64) (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal 1/60 binary64))) (/.f64 #s(literal 1/3600 binary64) (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal 1/60 binary64)))) |
(+.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal -1/60 binary64)) |
(+.f64 #s(literal -1/60 binary64) (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im)) |
#s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) |
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) |
(*.f64 (fma.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/57600 binary64)) (pow.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/1024192512000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/13824000 binary64)) (pow.f64 (fma.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 re re) #s(literal -1/2419200 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64)) (fma.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/57600 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 re re) #s(literal -1/2419200 binary64)))) (fma.f64 #s(literal -1/1024192512000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/13824000 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/57600 binary64) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64))) (/.f64 (*.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64))) (fma.f64 (/.f64 #s(literal 1/57600 binary64) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64))) (/.f64 #s(literal 1/57600 binary64) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64))) (/.f64 #s(literal 1/57600 binary64) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/57600 binary64) (*.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/57600 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/1024192512000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/13824000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 re re) #s(literal -1/2419200 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64))) (*.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64)) #s(literal 1/57600 binary64))) (*.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64)))) |
(/.f64 (-.f64 #s(literal 1/57600 binary64) (*.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64)))) (-.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/57600 binary64))) (neg.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/1024192512000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/13824000 binary64))) (neg.f64 (+.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 (*.f64 re re) #s(literal -1/2419200 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/1024192512000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/13824000 binary64))) (neg.f64 (fma.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 re re) #s(literal -1/2419200 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/57600 binary64)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64))) |
(/.f64 (fma.f64 #s(literal -1/1024192512000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/13824000 binary64)) (+.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 (*.f64 re re) #s(literal -1/2419200 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/1024192512000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/13824000 binary64)) (fma.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 re re) #s(literal -1/2419200 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64)) (fma.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/57600 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 re re) #s(literal -1/2419200 binary64)))) (fma.f64 #s(literal -1/1024192512000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/13824000 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64)) (fma.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/57600 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 re re) #s(literal -1/2419200 binary64)))) (fma.f64 #s(literal -1/1024192512000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/13824000 binary64))))) |
(fma.f64 (*.f64 #s(literal -1/10080 binary64) re) re #s(literal 1/240 binary64)) |
(fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) |
(fma.f64 (*.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) |
(fma.f64 re (*.f64 #s(literal -1/10080 binary64) re) #s(literal 1/240 binary64)) |
(-.f64 (/.f64 #s(literal 1/57600 binary64) (-.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re)))) (/.f64 (*.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64))) (/.f64 #s(literal 1/57600 binary64) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64)))) |
(+.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 re re)) #s(literal 1/240 binary64)) |
(+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) |
Compiled 16 794 to 1 822 computations (89.2% saved)
30 alts after pruning (20 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 667 | 9 | 676 |
| Fresh | 4 | 11 | 15 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 8 | 8 |
| Total | 674 | 30 | 704 |
| Status | Accuracy | Program |
|---|---|---|
| 58.8% | (fma.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))) | |
| ✓ | 71.5% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 69.5% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) | |
| ✓ | 94.2% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
| ✓ | 94.2% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
| ✓ | 93.9% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
| ✓ | 91.2% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
| ✓ | 83.8% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
| 64.8% | (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) | |
| 35.1% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im))) | |
| 61.0% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) | |
| 61.8% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) | |
| 57.7% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) | |
| 58.8% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) | |
| ✓ | 58.8% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 57.7% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) | |
| 64.8% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) | |
| 62.9% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) | |
| 64.8% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) | |
| ✓ | 14.5% | #s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) |
| 89.7% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)) | |
| 80.9% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) | |
| 91.2% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)) (neg.f64 im)))) | |
| ✓ | 45.8% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) |
| 36.8% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) im (neg.f64 im)) re))) | |
| 32.7% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(approx (+ (* -1/120 (* re re)) 1/6) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) | |
| 36.8% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) | |
| 36.0% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/120 (* re re)) 1/6) (*.f64 #s(literal -1/120 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1 binary64)) im) re))) | |
| 32.7% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re))) | |
| ✓ | 31.2% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) |
Compiled 1 310 to 596 computations (54.5% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(approx (+ (* -1/120 (* re re)) 1/6) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/120 (* re re)) 1/6) (*.f64 #s(literal -1/120 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) im (neg.f64 im)) re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im))) |
(*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) (*.f64 #s(literal -1/2520 binary64) (*.f64 im im))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)) (neg.f64 im)))) |
(fma.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) |
| Outputs |
|---|
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
6 calls:
| 106.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 42.0ms | im |
| 38.0ms | re |
| 22.0ms | (sin.f64 re) |
| 19.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.2% | 1 | re |
| 99.9% | 2 | im |
| 99.8% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 94.2% | 1 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 94.2% | 1 | (sin.f64 re) |
| 99.9% | 2 | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
Compiled 25 to 28 computations (-12% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(approx (+ (* -1/120 (* re re)) 1/6) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/120 (* re re)) 1/6) (*.f64 #s(literal -1/120 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) im (neg.f64 im)) re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im))) |
(*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) (*.f64 #s(literal -1/2520 binary64) (*.f64 im im))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)) (neg.f64 im)))) |
(fma.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
2 calls:
| 67.0ms | im |
| 6.0ms | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 2 | im |
| 99.9% | 2 | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
Compiled 7 to 8 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(approx (+ (* -1/120 (* re re)) 1/6) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/120 (* re re)) 1/6) (*.f64 #s(literal -1/120 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) im (neg.f64 im)) re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im))) |
(*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) (*.f64 #s(literal -1/2520 binary64) (*.f64 im im))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)) (neg.f64 im)))) |
(fma.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
2 calls:
| 41.0ms | im |
| 6.0ms | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 2 | im |
| 99.7% | 2 | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
Compiled 7 to 8 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(approx (+ (* -1/120 (* re re)) 1/6) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/120 (* re re)) 1/6) (*.f64 #s(literal -1/120 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) im (neg.f64 im)) re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im))) |
(*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) (*.f64 #s(literal -1/2520 binary64) (*.f64 im im))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
3 calls:
| 56.0ms | im |
| 6.0ms | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 6.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 97.9% | 3 | im |
| 94.2% | 1 | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
Compiled 18 to 18 computations (0% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(approx (+ (* -1/120 (* re re)) 1/6) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/120 (* re re)) 1/6) (*.f64 #s(literal -1/120 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) im (neg.f64 im)) re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im))) |
(*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) (*.f64 #s(literal -1/2520 binary64) (*.f64 im im))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) (*.f64 #s(literal -1/2520 binary64) (*.f64 im im))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
1 calls:
| 8.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 11 to 10 computations (9.1% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(approx (+ (* -1/120 (* re re)) 1/6) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/120 (* re re)) 1/6) (*.f64 #s(literal -1/120 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) im (neg.f64 im)) re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im))) |
(*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
1 calls:
| 7.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 11 to 10 computations (9.1% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(approx (+ (* -1/120 (* re re)) 1/6) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/120 (* re re)) 1/6) (*.f64 #s(literal -1/120 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) im (neg.f64 im)) re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im))) |
(*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
1 calls:
| 9.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 11 to 10 computations (9.1% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(approx (+ (* -1/120 (* re re)) 1/6) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/120 (* re re)) 1/6) (*.f64 #s(literal -1/120 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) im (neg.f64 im)) re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im))) |
(*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
1 calls:
| 7.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 11 to 10 computations (9.1% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(approx (+ (* -1/120 (* re re)) 1/6) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/120 (* re re)) 1/6) (*.f64 #s(literal -1/120 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) im (neg.f64 im)) re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im))) |
(*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
1 calls:
| 7.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 11 to 10 computations (9.1% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(approx (+ (* -1/120 (* re re)) 1/6) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/120 (* re re)) 1/6) (*.f64 #s(literal -1/120 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) im (neg.f64 im)) re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im))) |
(*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
1 calls:
| 8.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 11 to 10 computations (9.1% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(approx (+ (* -1/120 (* re re)) 1/6) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/120 (* re re)) 1/6) (*.f64 #s(literal -1/120 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) im (neg.f64 im)) re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im))) |
(*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
6 calls:
| 122.0ms | re |
| 52.0ms | (sin.f64 re) |
| 50.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 42.0ms | im |
| 7.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.3% | 2 | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 76.8% | 7 | re |
| 78.4% | 4 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 78.4% | 4 | (sin.f64 re) |
| 86.6% | 3 | im |
| 95.2% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 25 to 28 computations (-12% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(approx (+ (* -1/120 (* re re)) 1/6) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/120 (* re re)) 1/6) (*.f64 #s(literal -1/120 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) im (neg.f64 im)) re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im))) |
(*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
3 calls:
| 165.0ms | im |
| 145.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 3.0ms | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.8% | 1 | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 67.2% | 2 | im |
| 76.2% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 18 to 18 computations (0% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(approx (+ (* -1/120 (* re re)) 1/6) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/120 (* re re)) 1/6) (*.f64 #s(literal -1/120 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) im (neg.f64 im)) re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im))) |
(*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
1 calls:
| 14.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.0% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 11 to 10 computations (9.1% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(approx (+ (* -1/120 (* re re)) 1/6) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/120 (* re re)) 1/6) (*.f64 #s(literal -1/120 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) im (neg.f64 im)) re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
3 calls:
| 44.0ms | (sin.f64 re) |
| 39.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 4.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.1% | 2 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 75.1% | 2 | (sin.f64 re) |
| 75.2% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 17 to 18 computations (-5.9% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(approx (+ (* -1/120 (* re re)) 1/6) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/120 (* re re)) 1/6) (*.f64 #s(literal -1/120 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) im (neg.f64 im)) re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
1 calls:
| 4.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.1% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 11 to 10 computations (9.1% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(approx (+ (* -1/120 (* re re)) 1/6) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/120 (* re re)) 1/6) (*.f64 #s(literal -1/120 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) im (neg.f64 im)) re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
3 calls:
| 17.0ms | (sin.f64 re) |
| 16.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 4.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.2% | 2 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 73.2% | 2 | (sin.f64 re) |
| 73.3% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 17 to 18 computations (-5.9% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(approx (+ (* -1/120 (* re re)) 1/6) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/120 (* re re)) 1/6) (*.f64 #s(literal -1/120 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) im (neg.f64 im)) re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(approx (+ (* -1/120 (* re re)) 1/6) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
3 calls:
| 54.0ms | (sin.f64 re) |
| 21.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 4.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.6% | 2 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 70.6% | 2 | (sin.f64 re) |
| 70.8% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 17 to 18 computations (-5.9% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(approx (+ (* -1/120 (* re re)) 1/6) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/120 (* re re)) 1/6) (*.f64 #s(literal -1/120 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) im (neg.f64 im)) re))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(approx (+ (* -1/120 (* re re)) 1/6) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
5 calls:
| 43.0ms | re |
| 35.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 16.0ms | (sin.f64 re) |
| 9.0ms | im |
| 4.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.8% | 1 | im |
| 58.8% | 1 | re |
| 66.5% | 2 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 66.5% | 2 | (sin.f64 re) |
| 66.6% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 19 to 22 computations (-15.8% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(approx (+ (* -1/120 (* re re)) 1/6) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
| Outputs |
|---|
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(approx (+ (* -1/120 (* re re)) 1/6) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) |
6 calls:
| 17.0ms | re |
| 12.0ms | im |
| 10.0ms | (sin.f64 re) |
| 8.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 4.0ms | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.3% | 3 | im |
| 34.3% | 3 | re |
| 32.7% | 1 | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 39.4% | 2 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 39.4% | 2 | (sin.f64 re) |
| 39.0% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 25 to 28 computations (-12% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))) |
| Outputs |
|---|
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) |
2 calls:
| 9.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 9.0ms | (sin.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.4% | 2 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 39.4% | 2 | (sin.f64 re) |
Compiled 6 to 8 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) |
| Outputs |
|---|
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) |
6 calls:
| 4.0ms | im |
| 3.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 3.0ms | (sin.f64 re) |
| 3.0ms | re |
| 2.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 31.2% | 1 | re |
| 31.2% | 1 | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 31.2% | 1 | im |
| 31.2% | 1 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 31.2% | 1 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 31.2% | 1 | (sin.f64 re) |
Compiled 25 to 28 computations (-12% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) |
| Outputs |
|---|
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) |
6 calls:
| 5.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 3.0ms | im |
| 3.0ms | (sin.f64 re) |
| 3.0ms | re |
| 2.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 14.5% | 1 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 14.5% | 1 | re |
| 14.5% | 1 | im |
| 14.5% | 1 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 14.5% | 1 | (sin.f64 re) |
| 14.5% | 1 | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
Compiled 25 to 28 computations (-12% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.1837163186481223 | -0.030011119798549313 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.1837163186481223 | -0.030011119798549313 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -46283157123.96713 | -1.1837163186481223 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -inf | -0.0057490070068978655 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -inf | -0.0057490070068978655 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.004416422550557e+41 | +inf |
| 0.0ms | -inf | -0.0057490070068978655 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.004416422550557e+41 | +inf |
| 0.0ms | -inf | -0.0057490070068978655 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.004416422550557e+41 | +inf |
| 0.0ms | -inf | -0.0057490070068978655 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.004416422550557e+41 | +inf |
| 0.0ms | -inf | -0.0057490070068978655 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.004416422550557e+41 | +inf |
| 0.0ms | -inf | -0.0057490070068978655 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.004416422550557e+41 | +inf |
| 0.0ms | -inf | -0.0057490070068978655 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.677814237003814e-261 | -4.835448505505837e-291 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.677814237003814e-261 | -4.835448505505837e-291 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.677814237003814e-261 | -4.835448505505837e-291 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.677814237003814e-261 | -4.835448505505837e-291 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.677814237003814e-261 | -4.835448505505837e-291 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.677814237003814e-261 | -4.835448505505837e-291 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.677814237003814e-261 | -4.835448505505837e-291 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.010306797831919559 | 0.011961961336016944 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.010306797831919559 | 0.011961961336016944 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | egg-herbie |
| 104× | *-commutative-binary64-*.f64 |
| 22× | +-commutative-binary64-+.f64 |
| 22× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 18× | neg-sub0-binary64--.f64-neg.f64 |
| 18× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 179 | 1687 |
| 1 | 236 | 1687 |
| 2 | 259 | 1687 |
| 3 | 282 | 1687 |
| 4 | 293 | 1687 |
| 5 | 298 | 1687 |
| 6 | 299 | 1687 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64)) (fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))) |
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))) |
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -40000000000 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) (*.f64 #s(literal -1/2520 binary64) (*.f64 im im))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 400000000000000002480034580163113277980672 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 400000000000000002480034580163113277980672 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 400000000000000002480034580163113277980672 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 400000000000000002480034580163113277980672 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 400000000000000002480034580163113277980672 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 400000000000000002480034580163113277980672 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -8863311460481781/8863311460481781141746416676937941075153709659930434578989576454853657824757125219971944776154496375261537574471193391385403783592849407838528338558092085276740615608975052082196989118065224509657855008735367281473086766641604185629827373864344704645943910512054824309490712576 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -8863311460481781/8863311460481781141746416676937941075153709659930434578989576454853657824757125219971944776154496375261537574471193391385403783592849407838528338558092085276740615608975052082196989118065224509657855008735367281473086766641604185629827373864344704645943910512054824309490712576 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -8863311460481781/8863311460481781141746416676937941075153709659930434578989576454853657824757125219971944776154496375261537574471193391385403783592849407838528338558092085276740615608975052082196989118065224509657855008735367281473086766641604185629827373864344704645943910512054824309490712576 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -8863311460481781/8863311460481781141746416676937941075153709659930434578989576454853657824757125219971944776154496375261537574471193391385403783592849407838528338558092085276740615608975052082196989118065224509657855008735367281473086766641604185629827373864344704645943910512054824309490712576 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -8863311460481781/8863311460481781141746416676937941075153709659930434578989576454853657824757125219971944776154496375261537574471193391385403783592849407838528338558092085276740615608975052082196989118065224509657855008735367281473086766641604185629827373864344704645943910512054824309490712576 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -8863311460481781/8863311460481781141746416676937941075153709659930434578989576454853657824757125219971944776154496375261537574471193391385403783592849407838528338558092085276740615608975052082196989118065224509657855008735367281473086766641604185629827373864344704645943910512054824309490712576 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(approx (+ (* -1/120 (* re re)) 1/6) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -8863311460481781/8863311460481781141746416676937941075153709659930434578989576454853657824757125219971944776154496375261537574471193391385403783592849407838528338558092085276740615608975052082196989118065224509657855008735367281473086766641604185629827373864344704645943910512054824309490712576 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(approx (+ (* -1/120 (* re re)) 1/6) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)))) |
(if (<=.f64 (sin.f64 re) #s(literal 3170534137668829/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(approx (+ (* -1/120 (* re re)) 1/6) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))) |
(if (<=.f64 (sin.f64 re) #s(literal 3170534137668829/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) |
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64)) (fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))) |
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (neg.f64 (exp.f64 im)))) (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) |
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))) |
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) |
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -40000000000 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))) |
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -40000000000 binary64)) (*.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) (*.f64 #s(literal -1/2520 binary64) (*.f64 im im))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 400000000000000002480034580163113277980672 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 400000000000000002480034580163113277980672 binary64)) (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 400000000000000002480034580163113277980672 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))) |
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(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -8863311460481781/8863311460481781141746416676937941075153709659930434578989576454853657824757125219971944776154496375261537574471193391385403783592849407838528338558092085276740615608975052082196989118065224509657855008735367281473086766641604185629827373864344704645943910512054824309490712576 binary64)) (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))) (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -8863311460481781/8863311460481781141746416676937941075153709659930434578989576454853657824757125219971944776154496375261537574471193391385403783592849407838528338558092085276740615608975052082196989118065224509657855008735367281473086766641604185629827373864344704645943910512054824309490712576 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -8863311460481781/8863311460481781141746416676937941075153709659930434578989576454853657824757125219971944776154496375261537574471193391385403783592849407838528338558092085276740615608975052082196989118065224509657855008735367281473086766641604185629827373864344704645943910512054824309490712576 binary64)) (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 (*.f64 im im) #s(literal -1/2520 binary64))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))) (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -8863311460481781/8863311460481781141746416676937941075153709659930434578989576454853657824757125219971944776154496375261537574471193391385403783592849407838528338558092085276740615608975052082196989118065224509657855008735367281473086766641604185629827373864344704645943910512054824309490712576 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -8863311460481781/8863311460481781141746416676937941075153709659930434578989576454853657824757125219971944776154496375261537574471193391385403783592849407838528338558092085276740615608975052082196989118065224509657855008735367281473086766641604185629827373864344704645943910512054824309490712576 binary64)) (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))) (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -8863311460481781/8863311460481781141746416676937941075153709659930434578989576454853657824757125219971944776154496375261537574471193391385403783592849407838528338558092085276740615608975052082196989118065224509657855008735367281473086766641604185629827373864344704645943910512054824309490712576 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(approx (+ (* -1/120 (* re re)) 1/6) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -8863311460481781/8863311460481781141746416676937941075153709659930434578989576454853657824757125219971944776154496375261537574471193391385403783592849407838528338558092085276740615608975052082196989118065224509657855008735367281473086766641604185629827373864344704645943910512054824309490712576 binary64)) (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* -1/120 (* re re)) 1/6) #s(literal 1/6 binary64)) im) (*.f64 re re) (neg.f64 im)) re)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -8863311460481781/8863311460481781141746416676937941075153709659930434578989576454853657824757125219971944776154496375261537574471193391385403783592849407838528338558092085276740615608975052082196989118065224509657855008735367281473086766641604185629827373864344704645943910512054824309490712576 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(approx (+ (* -1/120 (* re re)) 1/6) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -8863311460481781/8863311460481781141746416676937941075153709659930434578989576454853657824757125219971944776154496375261537574471193391385403783592849407838528338558092085276740615608975052082196989118065224509657855008735367281473086766641604185629827373864344704645943910512054824309490712576 binary64)) (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* -1/120 (* re re)) 1/6) #s(literal 1/6 binary64)) im) (*.f64 re re) (neg.f64 im)) re)))) |
(if (<=.f64 (sin.f64 re) #s(literal 3170534137668829/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(approx (+ (* -1/120 (* re re)) 1/6) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))) |
(if (<=.f64 (sin.f64 re) #s(literal 3170534137668829/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* -1/120 (* re re)) 1/6) #s(literal 1/6 binary64)) im) (*.f64 re re) (neg.f64 im)) re))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 re (neg.f64 im))))) |
(if (<=.f64 (sin.f64 re) #s(literal 3170534137668829/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))) |
(if (<=.f64 (sin.f64 re) #s(literal 3170534137668829/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) im) re))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 re (neg.f64 im))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 re (neg.f64 im)))) |
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (neg (exp im)) (* (sin re) 1/2))) #s(literal 0 binary64)) |
| 24 526× | lower-fma.f64 |
| 24 526× | lower-fma.f32 |
| 16 708× | lower-fma.f64 |
| 16 708× | lower-fma.f32 |
| 15 792× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 28 |
| 0 | 17 | 28 |
| 1 | 42 | 28 |
| 2 | 237 | 28 |
| 0 | 2269 | 28 |
| 0 | 223 | 4300 |
| 1 | 647 | 4105 |
| 2 | 1965 | 4022 |
| 3 | 4701 | 3962 |
| 4 | 7422 | 3942 |
| 0 | 8107 | 3744 |
| 0 | 41 | 229 |
| 0 | 72 | 229 |
| 1 | 221 | 224 |
| 2 | 1376 | 224 |
| 0 | 8434 | 224 |
| 0 | 146 | 699 |
| 1 | 413 | 664 |
| 2 | 1136 | 652 |
| 3 | 3928 | 631 |
| 4 | 6813 | 631 |
| 0 | 8435 | 593 |
| 0 | 290 | 3383 |
| 1 | 913 | 3203 |
| 2 | 2893 | 3159 |
| 3 | 6399 | 3097 |
| 0 | 8463 | 2947 |
| 0 | 305 | 4345 |
| 1 | 940 | 4065 |
| 2 | 3049 | 3997 |
| 3 | 7418 | 3997 |
| 0 | 8118 | 3784 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 2 136 to 969 computations (54.6% saved)
(negabs re)
Compiled 2 964 to 696 computations (76.5% saved)
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