
Time bar (total: 11.2s)
| 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)
| 857.0ms | 4 373× | 0 | valid |
| 716.0ms | 2 799× | 1 | valid |
| 505.0ms | 1 084× | 2 | valid |
ival-exp: 800.0ms (45.9% of total)ival-sin: 483.0ms (27.7% of total)ival-mult: 212.0ms (12.2% of total)adjust: 84.0ms (4.8% of total)ival-sub: 84.0ms (4.8% of total)ival-neg: 62.0ms (3.6% of total)ival-true: 7.0ms (0.4% of total)exact: 5.0ms (0.3% of total)ival-assert: 4.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 124 | 0 | - | 0 | - | (-.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 | 124 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 102 | 0 |
| - | 22 | 132 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 102 | 0 | 0 |
| - | 22 | 0 | 132 |
| number | freq |
|---|---|
| 0 | 132 |
| 1 | 124 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 51.0ms | 104× | 2 | valid |
| 34.0ms | 142× | 1 | valid |
| 28.0ms | 266× | 0 | valid |
Compiled 147 to 57 computations (61.2% saved)
ival-exp: 47.0ms (53.6% of total)ival-mult: 13.0ms (14.8% of total)ival-sin: 12.0ms (13.7% of total)adjust: 8.0ms (9.1% of total)ival-sub: 4.0ms (4.6% of total)ival-neg: 2.0ms (2.3% of total)ival-true: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
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 |
|---|---|---|
| ▶ | 63.6% | (*.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))) |
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 | 0.0625 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) | |
| accuracy | 28.957602417423395 | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 30.0ms | 52× | 2 | valid |
| 21.0ms | 71× | 1 | valid |
| 13.0ms | 133× | 0 | valid |
Compiled 68 to 22 computations (67.6% saved)
ival-exp: 35.0ms (66.9% of total)ival-sin: 6.0ms (11.5% of total)ival-mult: 4.0ms (7.6% of total)adjust: 3.0ms (5.7% of total)ival-sub: 2.0ms (3.8% of total)ival-neg: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 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 |
|---|
(* 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)) |
(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 im)) |
(+ 1 (* im (- (* 1/2 im) 1))) |
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) |
(- (exp (neg im)) (exp im)) |
(exp im) |
(exp (neg im)) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(- (exp (* -1 im)) (exp im)) |
(exp (* -1 im)) |
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 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 146 | 434 |
| 1 | 413 | 399 |
| 2 | 1136 | 387 |
| 3 | 3928 | 366 |
| 4 | 6803 | 366 |
| 0 | 8425 | 328 |
| 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)) |
(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 im)) |
(+ 1 (* im (- (* 1/2 im) 1))) |
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) |
(- (exp (neg im)) (exp im)) |
(exp im) |
(exp (neg im)) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(- (exp (* -1 im)) (exp im)) |
(exp (* -1 im)) |
| Outputs |
|---|
(* 1/2 (* re (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (-.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 #s(literal 1/2 binary64) re) |
(* 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)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(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 #s(literal 1/2 binary64) im #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 (* -1 im)) |
(-.f64 #s(literal 1 binary64) im) |
(+ 1 (* im (- (* 1/2 im) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) im #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)) |
(- (exp (neg im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(exp im) |
(exp.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)))) |
(- (exp (* -1 im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(exp (* -1 im)) |
(exp.f64 (neg.f64 im)) |
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)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (/.f64 #s(literal 1 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 2 binary64) (cosh.f64 im)) (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)))) |
(*.f64 (-.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 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #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 (exp.f64 (neg.f64 im)) (exp.f64 im)) (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 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (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))) |
(*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64)) (pow.f64 (exp.f64 im) #s(literal 4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64))) (fma.f64 (exp.f64 im) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 6 binary64)) (pow.f64 (exp.f64 im) #s(literal 6 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 6 binary64)) (pow.f64 (exp.f64 im) #s(literal 6 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 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 9 binary64)) (pow.f64 (exp.f64 im) #s(literal 9 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 (pow.f64 (exp.f64 im) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 6 binary64)))) |
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(*.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 4 502 to 611 computations (86.4% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 171 | 9 | 180 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 171 | 10 | 181 |
| Status | Accuracy | Program |
|---|---|---|
| 12.8% | (/.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))) | |
| ✓ | 63.6% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 63.0% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im))) | |
| ▶ | 91.9% | (*.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))) |
| ▶ | 90.0% | (*.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))) |
| 82.8% | (*.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))) | |
| ▶ | 52.2% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| ▶ | 51.0% | #s(approx (* (* 1/2 (sin re)) (- (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)) |
| 82.8% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im))) | |
| ▶ | 50.6% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) |
Compiled 391 to 306 computations (21.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.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))) | |
| cost-diff | 0 | (*.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) | |
| cost-diff | 0 | #s(approx (* (* 1/2 (sin re)) (- (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)) | |
| cost-diff | 0 | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) re) | |
| cost-diff | 0 | #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 363 |
| 0 | 75 | 363 |
| 1 | 128 | 363 |
| 2 | 255 | 363 |
| 3 | 626 | 363 |
| 4 | 1621 | 363 |
| 5 | 3283 | 363 |
| 6 | 5150 | 363 |
| 0 | 8013 | 363 |
| 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 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) |
(*.f64 #s(literal 1/2 binary64) re) |
#s(literal 1/2 binary64) |
re |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(exp.f64 (neg.f64 im)) |
(neg.f64 im) |
im |
(exp.f64 im) |
#s(approx (* (* 1/2 (sin re)) (- (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)) |
(*.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) |
(*.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))) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
(*.f64 re re) |
re |
#s(literal -1/12 binary64) |
#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) |
| 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 #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 #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 #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 #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 #s(literal 1/2 binary64) re)) (-.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)))) |
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) |
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 re #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
re |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(exp.f64 (neg.f64 im)) |
(neg.f64 im) |
im |
(exp.f64 im) |
#s(approx (* (* 1/2 (sin re)) (- (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)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 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) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (-.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)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) |
(*.f64 re re) |
re |
#s(literal -1/12 binary64) |
#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) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.05859375 | (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 5.8937468180049635 | (*.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))) | |
| accuracy | 23.605134234256802 | #s(approx (* (* 1/2 (sin re)) (- (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)) | |
| accuracy | 28.957602417423395 | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) | |
| accuracy | 0 | (exp.f64 im) | |
| accuracy | 0.0625 | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) | |
| accuracy | 28.957602417423395 | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) | |
| accuracy | 30.00518918681821 | #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) | |
| accuracy | 0.0546875 | (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) | |
| accuracy | 0.0625 | (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 | 0.0625 | (*.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 | 6.312421310168253 | #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 | 0.11328125 | (*.f64 (neg.f64 im) (sin.f64 re)) | |
| accuracy | 31.548565655017732 | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) | |
| accuracy | 0.05078125 | (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 | 0.0625 | (*.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 | 0.28800533958636443 | (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) | |
| accuracy | 5.077141979029446 | #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)) |
| 122.0ms | 52× | 2 | valid |
| 48.0ms | 134× | 0 | valid |
| 45.0ms | 70× | 1 | valid |
Compiled 649 to 81 computations (87.5% saved)
adjust: 68.0ms (38.1% of total)ival-mult: 45.0ms (25.2% of total)ival-exp: 23.0ms (12.9% of total)ival-add: 17.0ms (9.5% of total)const: 16.0ms (9% of total)ival-sin: 6.0ms (3.4% of total)ival-sub: 2.0ms (1.1% 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 |
|---|
(*.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 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) |
(*.f64 #s(literal 1/2 binary64) re) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
#s(approx (* (* 1/2 (sin re)) (- (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)) |
(*.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) |
(*.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))) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #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 (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)) |
(exp.f64 im) |
| Outputs |
|---|
(* 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 (* 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 (- (exp (neg im)) (exp im))) |
(+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))) |
1/2 |
(+ 1/2 (* -1/12 (pow re 2))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (sin re)) |
(sin re) |
(* -1 (* im (sin re))) |
(* -1/12 (* (pow re 3) (- (exp (neg im)) (exp im)))) |
(* (pow re 3) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2))))) |
(* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) |
(* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2))))) |
(* -1/12 (pow re 2)) |
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(* -1 (* (pow re 3) (+ (* -1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2))) (* 1/12 (- (exp (neg im)) (exp im)))))) |
(* 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) |
(* -2 (* im (* re (+ 1/2 (* -1/12 (pow re 2)))))) |
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/3 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))) |
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/60 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))) |
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))))) |
(* -2 (* im (+ 1/2 (* -1/12 (pow re 2))))) |
(* im (+ (* -2 (+ 1/2 (* -1/12 (pow re 2)))) (* -1/3 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2))))))) |
(* im (+ (* -2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/12 (pow re 2)))) (* -1/60 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2))))))))) |
(* im (+ (* -2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* -1/60 (+ 1/2 (* -1/12 (pow re 2)))) (* -1/2520 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 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) |
-2 |
(- (* -1/3 (pow im 2)) 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)))))) |
(- (exp (neg im)) (exp im)) |
(* re (* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (neg im)) (exp im)))) |
(* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (neg im)) (exp im))) |
(* -1/2520 (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)) |
(* -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)) |
(* -1/60 (pow im 2)) |
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(exp im) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(- (exp (* -1 im)) (exp im)) |
(* re (* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (* -1 im)) (exp im)))) |
(* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (* -1 im)) (exp im))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | 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)) (* 1/2 re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (+ (* (* re re) -1/12) 1/2) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (+ (* -1/60 (* im im)) -1/3) (exp 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)) (* 1/2 re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (+ (* (* re re) -1/12) 1/2) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (+ (* -1/60 (* im im)) -1/3) (exp im)) |
| 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) (* (* 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)) (* 1/2 re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (+ (* (* re re) -1/12) 1/2) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (+ (* -1/60 (* im im)) -1/3) (exp im)) |
| 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) (* (* 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)) (* 1/2 re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (+ (* (* re re) -1/12) 1/2) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (+ (* -1/60 (* im im)) -1/3) (exp 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)) (* 1/2 re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (+ (* (* re re) -1/12) 1/2) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (+ (* -1/60 (* im im)) -1/3) (exp im)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 249 | 1127 |
| 1 | 823 | 978 |
| 2 | 2974 | 934 |
| 3 | 7845 | 934 |
| 0 | 8325 | 857 |
| 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 (* 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 (- (exp (neg im)) (exp im))) |
(+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))) |
1/2 |
(+ 1/2 (* -1/12 (pow re 2))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (sin re)) |
(sin re) |
(* -1 (* im (sin re))) |
(* -1/12 (* (pow re 3) (- (exp (neg im)) (exp im)))) |
(* (pow re 3) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2))))) |
(* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) |
(* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2))))) |
(* -1/12 (pow re 2)) |
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(* -1 (* (pow re 3) (+ (* -1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2))) (* 1/12 (- (exp (neg im)) (exp im)))))) |
(* 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) |
(* -2 (* im (* re (+ 1/2 (* -1/12 (pow re 2)))))) |
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/3 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))) |
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/60 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))) |
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))))) |
(* -2 (* im (+ 1/2 (* -1/12 (pow re 2))))) |
(* im (+ (* -2 (+ 1/2 (* -1/12 (pow re 2)))) (* -1/3 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2))))))) |
(* im (+ (* -2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/12 (pow re 2)))) (* -1/60 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2))))))))) |
(* im (+ (* -2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* -1/60 (+ 1/2 (* -1/12 (pow re 2)))) (* -1/2520 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 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) |
-2 |
(- (* -1/3 (pow im 2)) 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)))))) |
(- (exp (neg im)) (exp im)) |
(* re (* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (neg im)) (exp im)))) |
(* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (neg im)) (exp im))) |
(* -1/2520 (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)) |
(* -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)) |
(* -1/60 (pow im 2)) |
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(exp im) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(- (exp (* -1 im)) (exp im)) |
(* re (* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (* -1 im)) (exp im)))) |
(* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (* -1 im)) (exp im))) |
| Outputs |
|---|
(* 1/2 (* re (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (-.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)) re) (-.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))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) |
(*.f64 (*.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)) (*.f64 (*.f64 re re) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))))) 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 (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 (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) |
(* 1/2 re) |
(*.f64 #s(literal 1/2 binary64) re) |
(* 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 (* im re)) |
(*.f64 (neg.f64 im) re) |
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im) 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 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re) |
(* 1/2 (- (exp (neg im)) (exp im))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))) |
(*.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))) |
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 (* (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)) |
(sin re) |
(sin.f64 re) |
(* -1 (* im (sin re))) |
(*.f64 (neg.f64 (sin.f64 re)) im) |
(* -1/12 (* (pow re 3) (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/12 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* (pow re 3) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2))))) |
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64))) (pow.f64 re #s(literal 3 binary64))) |
(* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2))))) |
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64))) (*.f64 re re)) |
(* -1/12 (pow re 2)) |
(*.f64 (*.f64 re re) #s(literal -1/12 binary64)) |
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re) |
(* -1 (* (pow re 3) (+ (* -1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2))) (* 1/12 (- (exp (neg im)) (exp im)))))) |
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64))) (pow.f64 re #s(literal 3 binary64))) |
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re))))) |
(*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) |
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re))))))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) (*.f64 im im) (neg.f64 (sin.f64 re))) 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 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #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 im) |
(neg.f64 im) |
(* -2 (* im (* re (+ 1/2 (* -1/12 (pow re 2)))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im) re) |
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/3 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im) |
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/60 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im) re)) |
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))))) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im) |
(* -2 (* im (+ 1/2 (* -1/12 (pow re 2))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im) |
(* im (+ (* -2 (+ 1/2 (* -1/12 (pow re 2)))) (* -1/3 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2))))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im) |
(* im (+ (* -2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/12 (pow re 2)))) (* -1/60 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2))))))))) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) |
(* im (+ (* -2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* -1/60 (+ 1/2 (* -1/12 (pow re 2)))) (* -1/2520 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2))))))))))) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im) |
-1/60 |
#s(literal -1/60 binary64) |
(- (* -1/2520 (pow im 2)) 1/60) |
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) |
-1/3 |
#s(literal -1/3 binary64) |
(- (* -1/60 (pow im 2)) 1/3) |
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) |
(- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3) |
(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)) |
-2 |
#s(literal -2 binary64) |
(- (* -1/3 (pow im 2)) 2) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) |
(- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2) |
(fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 im) |
(+.f64 #s(literal 1 binary64) im) |
(+ 1 (* im (+ 1 (* 1/2 im)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) im #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)) |
(- (exp (neg im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(* re (* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (neg im)) (exp im))) |
(*.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))) |
(* -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 #s(literal -1/2520 binary64) (*.f64 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 (fma.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 im im)) #s(literal -1 binary64) #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))) |
(* -1/60 (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 (/.f64 #s(literal -1/3 binary64) (*.f64 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 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) im) im) #s(literal 1/60 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 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) |
(exp 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)) |
(* re (* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (* -1 im)) (exp im))) |
(*.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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 259 |
| 0 | 75 | 259 |
| 1 | 220 | 259 |
| 2 | 1359 | 259 |
| 0 | 8282 | 259 |
| 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 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) |
(*.f64 #s(literal 1/2 binary64) re) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
#s(approx (* (* 1/2 (sin re)) (- (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)) |
(*.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) |
(*.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))) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #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 (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)) |
(exp.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)) |
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(/.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) (fma.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 (-.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/60 binary64) (*.f64 im im))) (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)))) |
(neg.f64 (/.f64 (neg.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)))) |
(neg.f64 (/.f64 (neg.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)))))) |
(neg.f64 (/.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)))) |
(neg.f64 (/.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))))))) |
(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) |
(fma.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (pow.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/9 binary64) (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)) |
(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 (*.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))) (neg.f64 (/.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))) |
(*.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) |
Compiled 25 320 to 2 863 computations (88.7% saved)
23 alts after pruning (18 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 634 | 16 | 650 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 637 | 23 | 660 |
| Status | Accuracy | Program |
|---|---|---|
| 52.2% | (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))))) | |
| 12.8% | (/.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))) | |
| ✓ | 63.6% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 91.9% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #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))) | |
| ✓ | 90.0% | (*.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))) |
| ▶ | 91.9% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
| 82.8% | (*.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 (*.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 (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))) | |
| 57.5% | (*.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))) | |
| ✓ | 52.2% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 58.6% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) 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))) | |
| ▶ | 57.8% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #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))) |
| 27.7% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 im (sin.f64 re)) (*.f64 im (sin.f64 re)))) (+.f64 #s(literal 0 binary64) (*.f64 im (sin.f64 re))))) | |
| 53.9% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im)))) (sin.f64 re))) | |
| ✓ | 51.0% | #s(approx (* (* 1/2 (sin re)) (- (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)) |
| ▶ | 77.7% | #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)))) |
| 82.8% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im))) | |
| ✓ | 50.6% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) |
| 33.0% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)) | |
| 53.4% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)) | |
| ▶ | 57.6% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im))) |
| 34.4% | #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))) | |
| ▶ | 29.7% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) |
Compiled 1 243 to 848 computations (31.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im) | |
| cost-diff | 0 | #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)) | |
| cost-diff | 0 | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im))) | |
| cost-diff | 1344 | (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) | |
| cost-diff | 0 | (sin.f64 re) | |
| cost-diff | 0 | (*.f64 (sin.f64 re) im) | |
| cost-diff | 0 | #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)))) | |
| 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 | (*.f64 #s(literal 1/2 binary64) re) | |
| cost-diff | 0 | #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #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 | (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 | (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 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) | |
| cost-diff | 128 | (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 597 |
| 0 | 103 | 597 |
| 1 | 203 | 597 |
| 2 | 507 | 565 |
| 3 | 1727 | 563 |
| 4 | 5670 | 563 |
| 5 | 6778 | 563 |
| 0 | 8036 | 554 |
| 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 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) 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 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) |
(*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im) |
(fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) |
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) |
(*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) |
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) |
(fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 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 (* (* 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 |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #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 #s(literal 1/2 binary64) re)) |
(*.f64 #s(literal 1/2 binary64) 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 (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) |
#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 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) |
(*.f64 (sin.f64 re) im) |
(sin.f64 re) |
re |
im |
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) |
(*.f64 im im) |
#s(literal -1/6 binary64) |
#s(literal -1 binary64) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im))) |
#s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) |
(pow.f64 im #s(literal 4 binary64)) |
im |
#s(literal 4 binary64) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
(*.f64 re re) |
re |
#s(literal -1/12 binary64) |
#s(literal 1/2 binary64) |
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) |
#s(literal -1/2520 binary64) |
(*.f64 im im) |
#s(literal -1/60 binary64) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) |
#s(literal -1/3 binary64) |
#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 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) 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 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 #s(literal -2 binary64) 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 |
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) 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 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 #s(literal -2 binary64) im))) |
(*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im) |
(fma.f64 (pow.f64 im #s(literal 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 #s(literal -2 binary64) im)) |
(fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) 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)) |
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) 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 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) |
(*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im)) |
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) |
(*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) im) |
(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)) |
(*.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 (* (* 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 |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #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 re #s(literal 1/2 binary64)))) |
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) |
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 re #s(literal 1/2 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 (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) |
#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 (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) (sin.f64 re))) |
(*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) (sin.f64 re)) |
(*.f64 (sin.f64 re) im) |
(*.f64 im (sin.f64 re)) |
(sin.f64 re) |
re |
im |
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) |
(*.f64 im im) |
#s(literal -1/6 binary64) |
#s(literal -1 binary64) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (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 (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) im) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -2 binary64)))))) |
#s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)) |
#s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) im) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -2 binary64))))) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) im) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -2 binary64)))) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -2 binary64))) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) |
(pow.f64 im #s(literal 4 binary64)) |
im |
#s(literal 4 binary64) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
(*.f64 re re) |
re |
#s(literal -1/12 binary64) |
#s(literal 1/2 binary64) |
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) |
#s(literal -1/2520 binary64) |
(*.f64 im im) |
#s(literal -1/60 binary64) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) |
#s(literal -1/3 binary64) |
#s(literal -2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 4.5726483049676245 | (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) | |
| accuracy | 4.76665757145491 | (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) | |
| accuracy | 8.441555278084818 | (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) | |
| accuracy | 23.605134234256802 | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im))) | |
| accuracy | 0.11328125 | (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) | |
| accuracy | 0.11328125 | (*.f64 (sin.f64 re) im) | |
| accuracy | 1.00251943226379 | (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) | |
| accuracy | 15.136020533930147 | #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)))) | |
| accuracy | 0.0625 | (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 | 0.0625 | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #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))) | |
| accuracy | 6.312421310168253 | #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 | 30.00518918681821 | #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) | |
| accuracy | 0 | (*.f64 (neg.f64 im) re) | |
| accuracy | 0 | (neg.f64 im) | |
| accuracy | 29.830880881210938 | #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)) | |
| accuracy | 31.548565655017732 | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) | |
| accuracy | 0.10546875 | (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) | |
| accuracy | 0.109375 | (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) | |
| accuracy | 0.28800533958636443 | (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) | |
| accuracy | 5.077141979029446 | #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) |
| 134.0ms | 52× | 2 | valid |
| 79.0ms | 134× | 0 | valid |
| 58.0ms | 70× | 1 | valid |
Compiled 1 038 to 121 computations (88.3% saved)
ival-mult: 124.0ms (53.6% of total)ival-add: 35.0ms (15.1% of total)ival-exp: 22.0ms (9.5% of total)const: 20.0ms (8.7% of total)adjust: 14.0ms (6.1% of total)ival-sin: 8.0ms (3.5% of total)ival-pow: 3.0ms (1.3% of total)ival-sub: 2.0ms (0.9% of total)exact: 1.0ms (0.4% of total)ival-neg: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) 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 (* (* 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) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #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 #s(literal 1/2 binary64) re)) |
(*.f64 #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 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 (sin.f64 re) im) |
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im))) |
#s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im) |
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) |
(fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) |
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) |
(*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) 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)) |
(*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) |
| Outputs |
|---|
(* 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 (* 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))))))))) |
(* im re) |
(* re (+ im (* -1/6 (* im (pow re 2))))) |
(* re (+ im (* (pow re 2) (+ (* -1/6 im) (* 1/120 (* im (pow re 2))))))) |
(* re (+ im (* (pow re 2) (+ (* -1/6 im) (* (pow re 2) (+ (* -1/5040 (* im (pow re 2))) (* 1/120 im))))))) |
(* re (+ (* 1/2 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/2 (- (* -1/3 (pow im 2)) 2)))) |
(* re (+ (* 1/2 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (+ (* 1/2 (- (* -1/3 (pow im 2)) 2)) (* (pow re 2) (+ (* -1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* -1/12 (- (* -1/3 (pow im 2)) 2))))))) |
(* im (* re (+ (* 1/2 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/2 (- (* -1/3 (pow im 2)) 2))))) |
(* re (+ (* im (* (pow re 2) (+ (* -1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* -1/12 (- (* -1/3 (pow im 2)) 2))))) (* im (+ (* 1/2 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/2 (- (* -1/3 (pow im 2)) 2)))))) |
(* im (* re (- (* -1/6 (pow im 2)) 1))) |
(* re (+ (* -1/6 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* im (- (* -1/6 (pow im 2)) 1)))) |
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* 1/120 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))))))) |
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* (pow re 2) (+ (* -1/5040 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* 1/120 (* im (- (* -1/6 (pow im 2)) 1))))))))) |
(* 1/2 (* re (- (* -1/3 (pow im 2)) 2))) |
(* re (+ (* -1/12 (* (pow re 2) (- (* -1/3 (pow im 2)) 2))) (* 1/2 (- (* -1/3 (pow im 2)) 2)))) |
(* 1/2 (* re (- (* -1/2520 (pow im 2)) 1/60))) |
(* re (+ (* -1/12 (* (pow re 2) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/2 (- (* -1/2520 (pow im 2)) 1/60)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (sin re)) |
(sin re) |
(* -1 (* im (sin re))) |
(* im (sin re)) |
(* (pow re 3) (+ (* -1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* -1/12 (- (* -1/3 (pow im 2)) 2)))) |
(* (pow re 3) (+ (* -1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (+ (* -1/12 (- (* -1/3 (pow im 2)) 2)) (+ (* 1/2 (/ (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60)) (pow re 2))) (* 1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2))))))) |
(* -1/12 (* (pow re 3) (- (exp (neg im)) (exp im)))) |
(* (pow re 3) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2))))) |
(* im (* (pow re 3) (+ (* -1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* -1/12 (- (* -1/3 (pow im 2)) 2))))) |
(* (pow re 3) (+ (* im (+ (* -1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* -1/12 (- (* -1/3 (pow im 2)) 2)))) (/ (* im (+ (* 1/2 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/2 (- (* -1/3 (pow im 2)) 2)))) (pow re 2)))) |
(* im (* (sin re) (- (* -1/6 (pow im 2)) 1))) |
(* -1/12 (* (pow re 3) (- (* -1/3 (pow im 2)) 2))) |
(* (pow re 3) (+ (* -1/12 (- (* -1/3 (pow im 2)) 2)) (* 1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2))))) |
(* -1/12 (* (pow re 3) (- (* -1/2520 (pow im 2)) 1/60))) |
(* (pow re 3) (+ (* -1/12 (- (* -1/2520 (pow im 2)) 1/60)) (* 1/2 (/ (- (* -1/2520 (pow im 2)) 1/60) (pow re 2))))) |
(* -1 (* (pow re 3) (+ (* 1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/12 (- (* -1/3 (pow im 2)) 2))))) |
(* -1 (* (pow re 3) (+ (* -1/2 (/ (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60)) (pow re 2))) (+ (* -1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2))) (+ (* 1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/12 (- (* -1/3 (pow im 2)) 2))))))) |
(* -1 (* (pow re 3) (+ (* -1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2))) (* 1/12 (- (exp (neg im)) (exp im)))))) |
(* -1 (* im (* (pow re 3) (+ (* 1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/12 (- (* -1/3 (pow im 2)) 2)))))) |
(* -1 (* (pow re 3) (+ (* im (+ (* 1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/12 (- (* -1/3 (pow im 2)) 2)))) (/ (* im (+ (* -1/2 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* -1/2 (- (* -1/3 (pow im 2)) 2)))) (pow re 2))))) |
(* -1 (* (pow re 3) (+ (* -1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2))) (* 1/12 (- (* -1/3 (pow im 2)) 2))))) |
(* -1 (* (pow re 3) (+ (* -1/2 (/ (- (* -1/2520 (pow im 2)) 1/60) (pow re 2))) (* 1/12 (- (* -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) |
(* 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) |
(* -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 |
(- (* -1/6 (pow im 2)) 1) |
(* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) |
(+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/3 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))) |
(+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/60 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))) |
(+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))))) |
(* -2 (* im (* re (+ 1/2 (* -1/12 (pow re 2)))))) |
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/3 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))) |
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/60 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))) |
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))))) |
-1/60 |
(- (* -1/2520 (pow im 2)) 1/60) |
(* -1/60 im) |
(* im (- (* -1/2520 (pow im 2)) 1/60)) |
(* -1/60 (pow im 2)) |
(* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) |
-2 |
(- (* -1/3 (pow im 2)) 2) |
(- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2) |
(* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) |
(+ (* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 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)) |
(- (exp (neg im)) (exp im)) |
(* -1/6 (pow im 2)) |
(* -1 (* (pow im 2) (+ 1/6 (/ 1 (pow im 2))))) |
(* -1/2520 (* (pow im 6) (* re (+ 1/2 (* -1/12 (pow re 2)))))) |
(* (pow im 6) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))))) |
(* (pow im 6) (+ (* -1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2)))))))) |
(* (pow im 6) (+ (* -2 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 6))) (+ (* -1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))))))) |
(* re (* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (neg im)) (exp im)))) |
(* -1/2520 (* (pow im 7) (* re (+ 1/2 (* -1/12 (pow re 2)))))) |
(* (pow im 7) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))))) |
(* (pow im 7) (+ (* -1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2)))))))) |
(* (pow im 7) (+ (* -2 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 6))) (+ (* -1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))))))) |
(* -1/2520 (pow im 2)) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* -1/2520 (pow im 3)) |
(* -1 (* (pow im 3) (+ 1/2520 (* 1/60 (/ 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)) |
(* -1/6 (* (pow im 3) (sin re))) |
(* (pow im 3) (+ (* -1 (/ (sin re) (pow im 2))) (* -1/6 (sin re)))) |
(* -1/3 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))) |
(* (pow im 2) (+ (* -2 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))))) |
(* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))) |
(* (pow im 2) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(- (exp (* -1 im)) (exp im)) |
(* re (* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (* -1 im)) (exp im)))) |
(* -1 (* (pow im 7) (+ (* 1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* 1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2)))))) |
(* -1 (* (pow im 7) (+ (* 1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))) (+ (* 1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* 1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))))))) |
(* -1 (* (pow im 7) (+ (* 1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))) (+ (* 1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (+ (* 1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (* 2 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 6)))))))) |
(* -1 (* (pow im 3) (+ (* 1/6 (sin re)) (/ (sin re) (pow im 2))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | im | @ | inf | ((+ (* (* (+ (* (* im im) -1/2520) -1/60) im) im) -1/3) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (* (* 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))) (* 1/2 (sin re)) (* 1/2 re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) im) (+ (* (* im im) -1/6) -1) (+ (* (pow im 4) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/2520 (* im im)) -1/60))) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2))) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (* (+ (* (pow im 4) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/2520 (* im im)) -1/60))) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2))) im) (- (exp (neg im)) (exp im)) (+ (* (* im im) -1/2520) -1/60) (* (+ (* (* im im) -1/2520) -1/60) im) (* (* (+ (* (* im im) -1/2520) -1/60) im) im) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (* (* (sin re) im) (+ (* (* im im) -1/6) -1)) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2)) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/2520 (* im im)) -1/60))) |
| 6.0ms | re | @ | inf | ((+ (* (* (+ (* (* im im) -1/2520) -1/60) im) im) -1/3) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (* (* 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))) (* 1/2 (sin re)) (* 1/2 re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) im) (+ (* (* im im) -1/6) -1) (+ (* (pow im 4) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/2520 (* im im)) -1/60))) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2))) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (* (+ (* (pow im 4) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/2520 (* im im)) -1/60))) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2))) im) (- (exp (neg im)) (exp im)) (+ (* (* im im) -1/2520) -1/60) (* (+ (* (* im im) -1/2520) -1/60) im) (* (* (+ (* (* im im) -1/2520) -1/60) im) im) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (* (* (sin re) im) (+ (* (* im im) -1/6) -1)) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2)) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/2520 (* im im)) -1/60))) |
| 5.0ms | re | @ | 0 | ((+ (* (* (+ (* (* im im) -1/2520) -1/60) im) im) -1/3) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (* (* 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))) (* 1/2 (sin re)) (* 1/2 re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) im) (+ (* (* im im) -1/6) -1) (+ (* (pow im 4) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/2520 (* im im)) -1/60))) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2))) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (* (+ (* (pow im 4) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/2520 (* im im)) -1/60))) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2))) im) (- (exp (neg im)) (exp im)) (+ (* (* im im) -1/2520) -1/60) (* (+ (* (* im im) -1/2520) -1/60) im) (* (* (+ (* (* im im) -1/2520) -1/60) im) im) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (* (* (sin re) im) (+ (* (* im im) -1/6) -1)) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2)) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/2520 (* im im)) -1/60))) |
| 5.0ms | re | @ | -inf | ((+ (* (* (+ (* (* im im) -1/2520) -1/60) im) im) -1/3) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (* (* 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))) (* 1/2 (sin re)) (* 1/2 re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) im) (+ (* (* im im) -1/6) -1) (+ (* (pow im 4) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/2520 (* im im)) -1/60))) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2))) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (* (+ (* (pow im 4) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/2520 (* im im)) -1/60))) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2))) im) (- (exp (neg im)) (exp im)) (+ (* (* im im) -1/2520) -1/60) (* (+ (* (* im im) -1/2520) -1/60) im) (* (* (+ (* (* im im) -1/2520) -1/60) im) im) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (* (* (sin re) im) (+ (* (* im im) -1/6) -1)) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2)) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/2520 (* im im)) -1/60))) |
| 5.0ms | im | @ | -inf | ((+ (* (* (+ (* (* im im) -1/2520) -1/60) im) im) -1/3) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (* (* 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))) (* 1/2 (sin re)) (* 1/2 re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) im) (+ (* (* im im) -1/6) -1) (+ (* (pow im 4) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/2520 (* im im)) -1/60))) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2))) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (* (+ (* (pow im 4) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/2520 (* im im)) -1/60))) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2))) im) (- (exp (neg im)) (exp im)) (+ (* (* im im) -1/2520) -1/60) (* (+ (* (* im im) -1/2520) -1/60) im) (* (* (+ (* (* im im) -1/2520) -1/60) im) im) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (* (* (sin re) im) (+ (* (* im im) -1/6) -1)) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2)) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/2520 (* im im)) -1/60))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 402 | 2551 |
| 1 | 1409 | 2378 |
| 2 | 5655 | 2094 |
| 0 | 8807 | 1912 |
| 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 (* 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))))))))) |
(* im re) |
(* re (+ im (* -1/6 (* im (pow re 2))))) |
(* re (+ im (* (pow re 2) (+ (* -1/6 im) (* 1/120 (* im (pow re 2))))))) |
(* re (+ im (* (pow re 2) (+ (* -1/6 im) (* (pow re 2) (+ (* -1/5040 (* im (pow re 2))) (* 1/120 im))))))) |
(* re (+ (* 1/2 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/2 (- (* -1/3 (pow im 2)) 2)))) |
(* re (+ (* 1/2 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (+ (* 1/2 (- (* -1/3 (pow im 2)) 2)) (* (pow re 2) (+ (* -1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* -1/12 (- (* -1/3 (pow im 2)) 2))))))) |
(* im (* re (+ (* 1/2 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/2 (- (* -1/3 (pow im 2)) 2))))) |
(* re (+ (* im (* (pow re 2) (+ (* -1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* -1/12 (- (* -1/3 (pow im 2)) 2))))) (* im (+ (* 1/2 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/2 (- (* -1/3 (pow im 2)) 2)))))) |
(* im (* re (- (* -1/6 (pow im 2)) 1))) |
(* re (+ (* -1/6 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* im (- (* -1/6 (pow im 2)) 1)))) |
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* 1/120 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))))))) |
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* (pow re 2) (+ (* -1/5040 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* 1/120 (* im (- (* -1/6 (pow im 2)) 1))))))))) |
(* 1/2 (* re (- (* -1/3 (pow im 2)) 2))) |
(* re (+ (* -1/12 (* (pow re 2) (- (* -1/3 (pow im 2)) 2))) (* 1/2 (- (* -1/3 (pow im 2)) 2)))) |
(* 1/2 (* re (- (* -1/2520 (pow im 2)) 1/60))) |
(* re (+ (* -1/12 (* (pow re 2) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/2 (- (* -1/2520 (pow im 2)) 1/60)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (sin re)) |
(sin re) |
(* -1 (* im (sin re))) |
(* im (sin re)) |
(* (pow re 3) (+ (* -1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* -1/12 (- (* -1/3 (pow im 2)) 2)))) |
(* (pow re 3) (+ (* -1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (+ (* -1/12 (- (* -1/3 (pow im 2)) 2)) (+ (* 1/2 (/ (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60)) (pow re 2))) (* 1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2))))))) |
(* -1/12 (* (pow re 3) (- (exp (neg im)) (exp im)))) |
(* (pow re 3) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2))))) |
(* im (* (pow re 3) (+ (* -1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* -1/12 (- (* -1/3 (pow im 2)) 2))))) |
(* (pow re 3) (+ (* im (+ (* -1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* -1/12 (- (* -1/3 (pow im 2)) 2)))) (/ (* im (+ (* 1/2 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/2 (- (* -1/3 (pow im 2)) 2)))) (pow re 2)))) |
(* im (* (sin re) (- (* -1/6 (pow im 2)) 1))) |
(* -1/12 (* (pow re 3) (- (* -1/3 (pow im 2)) 2))) |
(* (pow re 3) (+ (* -1/12 (- (* -1/3 (pow im 2)) 2)) (* 1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2))))) |
(* -1/12 (* (pow re 3) (- (* -1/2520 (pow im 2)) 1/60))) |
(* (pow re 3) (+ (* -1/12 (- (* -1/2520 (pow im 2)) 1/60)) (* 1/2 (/ (- (* -1/2520 (pow im 2)) 1/60) (pow re 2))))) |
(* -1 (* (pow re 3) (+ (* 1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/12 (- (* -1/3 (pow im 2)) 2))))) |
(* -1 (* (pow re 3) (+ (* -1/2 (/ (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60)) (pow re 2))) (+ (* -1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2))) (+ (* 1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/12 (- (* -1/3 (pow im 2)) 2))))))) |
(* -1 (* (pow re 3) (+ (* -1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2))) (* 1/12 (- (exp (neg im)) (exp im)))))) |
(* -1 (* im (* (pow re 3) (+ (* 1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/12 (- (* -1/3 (pow im 2)) 2)))))) |
(* -1 (* (pow re 3) (+ (* im (+ (* 1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/12 (- (* -1/3 (pow im 2)) 2)))) (/ (* im (+ (* -1/2 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* -1/2 (- (* -1/3 (pow im 2)) 2)))) (pow re 2))))) |
(* -1 (* (pow re 3) (+ (* -1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2))) (* 1/12 (- (* -1/3 (pow im 2)) 2))))) |
(* -1 (* (pow re 3) (+ (* -1/2 (/ (- (* -1/2520 (pow im 2)) 1/60) (pow re 2))) (* 1/12 (- (* -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) |
(* 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) |
(* -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 |
(- (* -1/6 (pow im 2)) 1) |
(* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) |
(+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/3 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))) |
(+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/60 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))) |
(+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))))) |
(* -2 (* im (* re (+ 1/2 (* -1/12 (pow re 2)))))) |
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/3 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))) |
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/60 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))) |
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))))) |
-1/60 |
(- (* -1/2520 (pow im 2)) 1/60) |
(* -1/60 im) |
(* im (- (* -1/2520 (pow im 2)) 1/60)) |
(* -1/60 (pow im 2)) |
(* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) |
-2 |
(- (* -1/3 (pow im 2)) 2) |
(- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2) |
(* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) |
(+ (* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 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)) |
(- (exp (neg im)) (exp im)) |
(* -1/6 (pow im 2)) |
(* -1 (* (pow im 2) (+ 1/6 (/ 1 (pow im 2))))) |
(* -1/2520 (* (pow im 6) (* re (+ 1/2 (* -1/12 (pow re 2)))))) |
(* (pow im 6) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))))) |
(* (pow im 6) (+ (* -1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2)))))))) |
(* (pow im 6) (+ (* -2 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 6))) (+ (* -1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))))))) |
(* re (* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (neg im)) (exp im)))) |
(* -1/2520 (* (pow im 7) (* re (+ 1/2 (* -1/12 (pow re 2)))))) |
(* (pow im 7) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))))) |
(* (pow im 7) (+ (* -1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2)))))))) |
(* (pow im 7) (+ (* -2 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 6))) (+ (* -1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))))))) |
(* -1/2520 (pow im 2)) |
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* -1/2520 (pow im 3)) |
(* -1 (* (pow im 3) (+ 1/2520 (* 1/60 (/ 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)) |
(* -1/6 (* (pow im 3) (sin re))) |
(* (pow im 3) (+ (* -1 (/ (sin re) (pow im 2))) (* -1/6 (sin re)))) |
(* -1/3 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))) |
(* (pow im 2) (+ (* -2 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))))) |
(* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))) |
(* (pow im 2) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(- (exp (* -1 im)) (exp im)) |
(* re (* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (* -1 im)) (exp im)))) |
(* -1 (* (pow im 7) (+ (* 1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* 1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2)))))) |
(* -1 (* (pow im 7) (+ (* 1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))) (+ (* 1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* 1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))))))) |
(* -1 (* (pow im 7) (+ (* 1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))) (+ (* 1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (+ (* 1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (* 2 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 6)))))))) |
(* -1 (* (pow im 3) (+ (* 1/6 (sin re)) (/ (sin re) (pow im 2))))) |
| Outputs |
|---|
(* 1/2 (* re (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (-.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)) re) (-.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))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) |
(*.f64 (*.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)) (*.f64 (*.f64 re re) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))))) 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 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.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))))) re) |
(* 1/2 re) |
(*.f64 #s(literal 1/2 binary64) re) |
(* 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 (* 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 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64)) (*.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))))) re) |
(* im re) |
(*.f64 re im) |
(* re (+ im (* -1/6 (* im (pow re 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) im) re) |
(* re (+ im (* (pow re 2) (+ (* -1/6 im) (* 1/120 (* im (pow re 2))))))) |
(*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))) (*.f64 re re) im) re) |
(* re (+ im (* (pow re 2) (+ (* -1/6 im) (* (pow re 2) (+ (* -1/5040 (* im (pow re 2))) (* 1/120 im))))))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64))) re) re (*.f64 #s(literal -1/6 binary64) im)) (*.f64 re im)) |
(* re (+ (* 1/2 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/2 (- (* -1/3 (pow im 2)) 2)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) #s(literal 1/2 binary64)) re) |
(* re (+ (* 1/2 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (+ (* 1/2 (- (* -1/3 (pow im 2)) 2)) (* (pow re 2) (+ (* -1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* -1/12 (- (* -1/3 (pow im 2)) 2))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) |
(* im (* re (+ (* 1/2 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/2 (- (* -1/3 (pow im 2)) 2))))) |
(*.f64 (*.f64 (*.f64 re im) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) |
(* re (+ (* im (* (pow re 2) (+ (* -1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* -1/12 (- (* -1/3 (pow im 2)) 2))))) (* im (+ (* 1/2 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/2 (- (* -1/3 (pow im 2)) 2)))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) im) re) |
(* im (* re (- (* -1/6 (pow im 2)) 1))) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) re) |
(* re (+ (* -1/6 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* im (- (* -1/6 (pow im 2)) 1)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im))) re) |
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* 1/120 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))))))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))) (*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) re)) |
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* (pow re 2) (+ (* -1/5040 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* 1/120 (* im (- (* -1/6 (pow im 2)) 1))))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 im (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)))))) re) |
(* 1/2 (* re (- (* -1/3 (pow im 2)) 2))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) #s(literal 1/2 binary64)) |
(* re (+ (* -1/12 (* (pow re 2) (- (* -1/3 (pow im 2)) 2))) (* 1/2 (- (* -1/3 (pow im 2)) 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re) |
(* 1/2 (* re (- (* -1/2520 (pow im 2)) 1/60))) |
(*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal 1/2 binary64)) re) |
(* re (+ (* -1/12 (* (pow re 2) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/2 (- (* -1/2520 (pow im 2)) 1/60)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) 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)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(sin re) |
(sin.f64 re) |
(* -1 (* im (sin re))) |
(*.f64 (neg.f64 (sin.f64 re)) im) |
(* im (sin re)) |
(*.f64 (sin.f64 re) im) |
(* (pow re 3) (+ (* -1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* -1/12 (- (* -1/3 (pow im 2)) 2)))) |
(*.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/12 binary64)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) |
(* (pow re 3) (+ (* -1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (+ (* -1/12 (- (* -1/3 (pow im 2)) 2)) (+ (* 1/2 (/ (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60)) (pow re 2))) (* 1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) #s(literal -1/12 binary64))) (pow.f64 re #s(literal 3 binary64))) |
(* -1/12 (* (pow re 3) (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/12 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* (pow re 3) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2))))) |
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal -1/12 binary64))) (pow.f64 re #s(literal 3 binary64))) |
(* im (* (pow re 3) (+ (* -1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* -1/12 (- (* -1/3 (pow im 2)) 2))))) |
(*.f64 (*.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) im) #s(literal -1/12 binary64)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) |
(* (pow re 3) (+ (* im (+ (* -1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* -1/12 (- (* -1/3 (pow im 2)) 2)))) (/ (* im (+ (* 1/2 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/2 (- (* -1/3 (pow im 2)) 2)))) (pow re 2)))) |
(*.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) im) (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) re) (/.f64 #s(literal 1/2 binary64) re) (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) #s(literal -1/12 binary64)))) |
(* im (* (sin re) (- (* -1/6 (pow im 2)) 1))) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) (sin.f64 re)) |
(* -1/12 (* (pow re 3) (- (* -1/3 (pow im 2)) 2))) |
(*.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/12 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) |
(* (pow re 3) (+ (* -1/12 (- (* -1/3 (pow im 2)) 2)) (* 1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal -1/12 binary64))) (pow.f64 re #s(literal 3 binary64))) |
(* -1/12 (* (pow re 3) (- (* -1/2520 (pow im 2)) 1/60))) |
(*.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/12 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) |
(* (pow re 3) (+ (* -1/12 (- (* -1/2520 (pow im 2)) 1/60)) (* 1/2 (/ (- (* -1/2520 (pow im 2)) 1/60) (pow re 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal -1/12 binary64))) (pow.f64 re #s(literal 3 binary64))) |
(* -1 (* (pow re 3) (+ (* 1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/12 (- (* -1/3 (pow im 2)) 2))))) |
(*.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/12 binary64)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) |
(* -1 (* (pow re 3) (+ (* -1/2 (/ (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60)) (pow re 2))) (+ (* -1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2))) (+ (* 1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/12 (- (* -1/3 (pow im 2)) 2))))))) |
(*.f64 (neg.f64 (pow.f64 re #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 re re)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) #s(literal 1/12 binary64)))) |
(* -1 (* (pow re 3) (+ (* -1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2))) (* 1/12 (- (exp (neg im)) (exp im)))))) |
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal -1/12 binary64))) (pow.f64 re #s(literal 3 binary64))) |
(* -1 (* im (* (pow re 3) (+ (* 1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/12 (- (* -1/3 (pow im 2)) 2)))))) |
(*.f64 (*.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) im) #s(literal -1/12 binary64)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) |
(* -1 (* (pow re 3) (+ (* im (+ (* 1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/12 (- (* -1/3 (pow im 2)) 2)))) (/ (* im (+ (* -1/2 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* -1/2 (- (* -1/3 (pow im 2)) 2)))) (pow re 2))))) |
(*.f64 (neg.f64 (pow.f64 re #s(literal 3 binary64))) (*.f64 im (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) re) (/.f64 #s(literal -1/2 binary64) re) (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) #s(literal 1/12 binary64))))) |
(* -1 (* (pow re 3) (+ (* -1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2))) (* 1/12 (- (* -1/3 (pow im 2)) 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal -1/12 binary64))) (pow.f64 re #s(literal 3 binary64))) |
(* -1 (* (pow re 3) (+ (* -1/2 (/ (- (* -1/2520 (pow im 2)) 1/60) (pow re 2))) (* 1/12 (- (* -1/2520 (pow im 2)) 1/60))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal -1/12 binary64))) (pow.f64 re #s(literal 3 binary64))) |
-1/3 |
#s(literal -1/3 binary64) |
(- (* -1/60 (pow im 2)) 1/3) |
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) |
(- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3) |
(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)) |
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re))))) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) (sin.f64 re)) |
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re))))))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) (*.f64 im im) (neg.f64 (sin.f64 re))) 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 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (sin.f64 re) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 #s(literal -1/5040 binary64) im) im #s(literal -1/120 binary64))) (pow.f64 im #s(literal 4 binary64)))) im) |
(* -1 im) |
(neg.f64 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 (*.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) |
-1 |
#s(literal -1 binary64) |
(- (* -1/6 (pow im 2)) 1) |
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) |
(* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) |
(*.f64 #s(literal -2 binary64) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) |
(+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/3 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) |
(+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/60 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))) (*.f64 im im))) |
(+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) (pow.f64 im #s(literal 4 binary64)))) |
(* -2 (* im (* re (+ 1/2 (* -1/12 (pow re 2)))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) im) #s(literal -2 binary64)) |
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/3 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) im) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) |
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/60 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))) |
(fma.f64 (*.f64 im (*.f64 #s(literal -2 binary64) re)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))))) |
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) (pow.f64 im #s(literal 4 binary64)))) im) |
-1/60 |
#s(literal -1/60 binary64) |
(- (* -1/2520 (pow im 2)) 1/60) |
(fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) |
(* -1/60 im) |
(*.f64 #s(literal -1/60 binary64) im) |
(* im (- (* -1/2520 (pow im 2)) 1/60)) |
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) |
(* -1/60 (pow im 2)) |
(*.f64 #s(literal -1/60 binary64) (*.f64 im im)) |
(* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) |
(*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) |
-2 |
#s(literal -2 binary64) |
(- (* -1/3 (pow im 2)) 2) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) |
(- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2) |
(fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) |
(* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) |
(*.f64 #s(literal -1/60 binary64) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) |
(+ (* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) |
(* -1/2520 (pow im 4)) |
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64))) |
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 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 #s(literal -1/2520 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im)) (pow.f64 im #s(literal 4 binary64))) |
(- (exp (neg im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(* -1/6 (pow im 2)) |
(*.f64 (*.f64 im im) #s(literal -1/6 binary64)) |
(* -1 (* (pow im 2) (+ 1/6 (/ 1 (pow im 2))))) |
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) |
(* -1/2520 (* (pow im 6) (* re (+ 1/2 (* -1/12 (pow re 2)))))) |
(*.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/2520 binary64)) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(* (pow im 6) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (+.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal -1/60 binary64) (*.f64 im im)))) (pow.f64 im #s(literal 6 binary64))) |
(* (pow im 6) (+ (* -1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2)))))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (+.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/2520 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -1/60 binary64) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) im) (/.f64 re im))) (pow.f64 im #s(literal 6 binary64))) |
(* (pow im 6) (+ (* -2 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 6))) (+ (* -1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (+.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal -1/60 binary64) (*.f64 im im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (+.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 6 binary64)))))) (pow.f64 im #s(literal 6 binary64))) |
(* re (* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* -1/2520 (* (pow im 7) (* re (+ 1/2 (* -1/12 (pow re 2)))))) |
(*.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/2520 binary64)) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(* (pow im 7) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))))) |
(*.f64 (pow.f64 im #s(literal 7 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (+.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal -1/60 binary64) (*.f64 im im))))) |
(* (pow im 7) (+ (* -1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2)))))))) |
(*.f64 (pow.f64 im #s(literal 7 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (+.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/2520 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -1/60 binary64) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) im) (/.f64 re im)))) |
(* (pow im 7) (+ (* -2 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 6))) (+ (* -1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))))))) |
(*.f64 (pow.f64 im #s(literal 7 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (+.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal -1/60 binary64) (*.f64 im im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (+.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 6 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 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) |
(* -1/2520 (pow im 3)) |
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/2520 binary64)) |
(* -1 (* (pow im 3) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) |
(* -1/60 (pow im 4)) |
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 4 binary64))) |
(* -1 (* (pow im 4) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 im im)) #s(literal -1 binary64) #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 #s(literal -1/60 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im)) (pow.f64 im #s(literal 4 binary64))) |
(* -1/6 (* (pow im 3) (sin re))) |
(*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) (sin.f64 re)) |
(* (pow im 3) (+ (* -1 (/ (sin re) (pow im 2))) (* -1/6 (sin re)))) |
(*.f64 (*.f64 (sin.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 im im)) #s(literal -1/6 binary64))) (pow.f64 im #s(literal 3 binary64))) |
(* -1/3 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 im im) re)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(* (pow im 2) (+ (* -2 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64))) (*.f64 im im)) |
(* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) im) im) |
(* (pow im 2) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (+.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal -1/60 binary64) (*.f64 im im)))) (*.f64 im 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)) |
(* re (* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* -1 (* (pow im 7) (+ (* 1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* 1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2)))))) |
(*.f64 (pow.f64 im #s(literal 7 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (+.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal -1/60 binary64) (*.f64 im im))))) |
(* -1 (* (pow im 7) (+ (* 1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))) (+ (* 1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* 1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))))))) |
(fma.f64 (pow.f64 im #s(literal 7 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (+.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal -1/60 binary64) (*.f64 im im)))) (*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (pow.f64 im #s(literal 4 binary64))) (neg.f64 (pow.f64 im #s(literal 7 binary64))))) |
(* -1 (* (pow im 7) (+ (* 1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))) (+ (* 1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (+ (* 1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (* 2 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 6)))))))) |
(fma.f64 (pow.f64 im #s(literal 7 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (+.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal -1/60 binary64) (*.f64 im im)))) (*.f64 (*.f64 re (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/3 binary64)))) (neg.f64 (pow.f64 im #s(literal 7 binary64))))) |
(* -1 (* (pow im 3) (+ (* 1/6 (sin re)) (/ (sin re) (pow im 2))))) |
(*.f64 (*.f64 (sin.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 im im)) #s(literal -1/6 binary64))) (pow.f64 im #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 468 |
| 0 | 103 | 468 |
| 1 | 346 | 468 |
| 2 | 2283 | 468 |
| 0 | 8302 | 465 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) 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 (* (* 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) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #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 #s(literal 1/2 binary64) re)) |
(*.f64 #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 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 (sin.f64 re) im) |
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im))) |
#s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im) |
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) |
(fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) |
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) |
(*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) 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)) |
(*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) |
| Outputs |
|---|
(*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/9 binary64)) (pow.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)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) #s(literal -1 binary64))) |
(pow.f64 (/.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)) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/9 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) (fma.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 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))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 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))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 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 (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 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 (/.f64 #s(literal 1/9 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 #s(literal 1/9 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 (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 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 #s(literal 1/9 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 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -1/3 binary64) (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/9 binary64)))) (neg.f64 (neg.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 (neg.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 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 (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)) #s(literal 1/9 binary64))) (*.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)) (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 #s(literal 1/9 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (-.f64 #s(literal -1/3 binary64) (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/9 binary64))) (neg.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 (neg.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/9 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 (fma.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))))) |
(/.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))))) |
(/.f64 #s(literal 1 binary64) (/.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)) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/9 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) (fma.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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)) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/9 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) (fma.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 3 binary64)) #s(literal -1/27 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 (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) |
(fma.f64 (*.f64 im im) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) |
(fma.f64 im (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #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 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im)))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal -1/3 binary64) (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 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 #s(literal 1/9 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 #s(literal -1/3 binary64) (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im))) |
(+.f64 (*.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 #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 #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)) (sin.f64 re)) #s(literal 1/2 binary64)) |
(*.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 (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(literal 1/2 binary64) (*.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)) (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 (* (* 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 re im)) |
(*.f64 (neg.f64 im) re) |
(*.f64 re (neg.f64 im)) |
(*.f64 im (neg.f64 re)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 re im) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 re im) (*.f64 re im) (*.f64 #s(literal 0 binary64) (*.f64 re im))))) |
(neg.f64 (*.f64 re im)) |
(-.f64 #s(literal 0 binary64) (*.f64 re im)) |
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(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/2520 binary64)) (*.f64 im im)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/2520 binary64)) (*.f64 im im)) (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/2520 binary64)) (*.f64 im im)) (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/2520 binary64)) (*.f64 im im))) |
(+.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/2520 binary64)) (*.f64 im im)) (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) |
Compiled 35 156 to 3 150 computations (91% saved)
30 alts after pruning (23 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 533 | 13 | 546 |
| Fresh | 3 | 10 | 13 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 539 | 30 | 569 |
| Status | Accuracy | Program |
|---|---|---|
| 52.2% | (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))))) | |
| 12.8% | (/.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))) | |
| ✓ | 63.6% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| ▶ | 91.9% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #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))) |
| ✓ | 90.0% | (*.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))) |
| ▶ | 58.6% | (*.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 (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))) |
| 57.5% | (*.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))) | |
| ✓ | 52.2% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 58.6% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) 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))) | |
| ✓ | 57.8% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #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))) |
| 58.6% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) | |
| 57.8% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) im))) | |
| 52.6% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) | |
| 27.7% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 im (sin.f64 re)) (*.f64 im (sin.f64 re)))) (+.f64 #s(literal 0 binary64) (*.f64 im (sin.f64 re))))) | |
| 82.8% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) (sin.f64 re))) | |
| 53.9% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im)))) (sin.f64 re))) | |
| ✓ | 51.0% | #s(approx (* (* 1/2 (sin re)) (- (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)) |
| 77.7% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) (sin.f64 re)) im)) | |
| ✓ | 50.6% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) |
| 33.0% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)) | |
| ▶ | 53.4% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)) |
| ▶ | 47.5% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
| 57.7% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) im))) | |
| ▶ | 57.6% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im))) |
| 57.3% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) im))) | |
| 50.7% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (*.f64 (sin.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 im im)) #s(literal -1/6 binary64))) (pow.f64 im #s(literal 3 binary64))))) | |
| 34.4% | #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))) | |
| 42.4% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re))) | |
| ✓ | 29.7% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) |
| 52.0% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (log.f64 (exp.f64 (neg.f64 im))) re))) |
Compiled 1 762 to 1 172 computations (33.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)) | |
| cost-diff | 0 | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im))) | |
| cost-diff | 1344 | (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) | |
| cost-diff | 1344 | (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) | |
| cost-diff | 0 | #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) | |
| cost-diff | 0 | (*.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 (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 | (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im) | |
| cost-diff | 0 | #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re) | |
| cost-diff | 0 | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)) | |
| cost-diff | 0 | (*.f64 re im) | |
| cost-diff | 0 | #s(approx (* (sin re) im) (*.f64 re im)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) | |
| 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 | (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 (*.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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 840 |
| 0 | 113 | 840 |
| 1 | 232 | 795 |
| 2 | 532 | 795 |
| 3 | 1920 | 763 |
| 4 | 6381 | 763 |
| 5 | 7045 | 763 |
| 0 | 8193 | 759 |
| 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 (*.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(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 (*.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) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) |
#s(approx (* (sin re) im) (*.f64 re im)) |
(*.f64 re im) |
re |
im |
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) |
(*.f64 im im) |
#s(literal -1/6 binary64) |
#s(literal -1 binary64) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)) |
(*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re) |
#s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
(*.f64 re re) |
re |
#s(literal -1/12 binary64) |
#s(literal 1/2 binary64) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) |
#s(literal -1/3 binary64) |
(*.f64 im im) |
im |
#s(literal -2 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 (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)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 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 (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))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im))) |
#s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) |
(pow.f64 im #s(literal 4 binary64)) |
im |
#s(literal 4 binary64) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) |
(*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) |
#s(literal -1/12 binary64) |
(*.f64 re re) |
re |
#s(literal 1/2 binary64) |
(*.f64 #s(literal -1/2520 binary64) im) |
#s(literal -1/2520 binary64) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64)) |
#s(literal -1/60 binary64) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) |
#s(literal -1/3 binary64) |
(*.f64 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 (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)) (*.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 #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 (*.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)) (*.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 (*.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 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 (*.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 (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 (*.f64 #s(literal -1/2520 binary64) 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 (*.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)) |
(*.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) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) #s(approx (* (sin re) im) (*.f64 im re)))) |
(*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) #s(approx (* (sin re) im) (*.f64 im re))) |
#s(approx (* (sin re) im) (*.f64 re im)) |
#s(approx (* (sin re) im) (*.f64 im re)) |
(*.f64 re im) |
(*.f64 im re) |
re |
im |
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) |
(*.f64 im im) |
#s(literal -1/6 binary64) |
#s(literal -1 binary64) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) im) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) re)) |
(*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re) |
(*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) im) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) re) |
#s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) |
#s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) im) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) im) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
(*.f64 re re) |
re |
#s(literal -1/12 binary64) |
#s(literal 1/2 binary64) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) |
#s(literal -1/3 binary64) |
(*.f64 im im) |
im |
#s(literal -2 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 (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 (* 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 (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)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 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 (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))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (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 (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im))) |
#s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)) |
#s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) |
(pow.f64 im #s(literal 4 binary64)) |
im |
#s(literal 4 binary64) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -1/2520 binary64)) (*.f64 im re)) |
(*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
#s(literal -1/12 binary64) |
(*.f64 re re) |
re |
#s(literal 1/2 binary64) |
(*.f64 #s(literal -1/2520 binary64) im) |
#s(literal -1/2520 binary64) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64)) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64)) |
#s(literal -1/60 binary64) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) |
#s(literal -1/3 binary64) |
(*.f64 im im) |
#s(literal -2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.7202169971050645 | #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)) | |
| accuracy | 4.76665757145491 | (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) | |
| accuracy | 8.441555278084818 | (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) | |
| accuracy | 23.605134234256802 | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im))) | |
| accuracy | 0.0625 | (*.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 (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 | 0.28800533958636443 | (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) | |
| accuracy | 5.077141979029446 | #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 | 30.058132775447685 | #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) | |
| accuracy | 0.11328125 | (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) | |
| accuracy | 5.9210905680049635 | (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im) | |
| accuracy | 7.0178448765292645 | #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) | |
| accuracy | 23.605134234256802 | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)) | |
| accuracy | 0.11328125 | (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) | |
| accuracy | 1.00251943226379 | (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) | |
| accuracy | 15.136020533930147 | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) | |
| accuracy | 29.830880881210938 | #s(approx (* (sin re) im) (*.f64 re im)) | |
| accuracy | 0.05078125 | (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)) | |
| accuracy | 0.0625 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #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 | 0.078125 | (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) | |
| accuracy | 5.077141979029446 | #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)) |
| 201.0ms | 134× | 0 | valid |
| 96.0ms | 70× | 1 | valid |
| 77.0ms | 52× | 2 | valid |
Compiled 1 452 to 131 computations (91% saved)
ival-mult: 86.0ms (30.2% of total)ival-sin: 52.0ms (18.2% of total)ival-neg: 45.0ms (15.8% of total)const: 38.0ms (13.3% of total)ival-exp: 23.0ms (8.1% of total)ival-add: 18.0ms (6.3% of total)adjust: 17.0ms (6% of total)ival-pow: 3.0ms (1.1% of total)ival-sub: 2.0ms (0.7% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 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 (*.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(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 #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)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) |
#s(approx (* (sin re) im) (*.f64 re im)) |
(*.f64 re im) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)) |
(*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re) |
#s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (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 (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)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im))) |
#s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)) |
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 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 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -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)) |
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) |
| Outputs |
|---|
(* 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)))) |
(* im (* re (- (* -1/6 (pow im 2)) 1))) |
(* re (+ (* -1/6 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* im (- (* -1/6 (pow im 2)) 1)))) |
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* 1/120 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))))))) |
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* (pow re 2) (+ (* -1/5040 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* 1/120 (* im (- (* -1/6 (pow im 2)) 1))))))))) |
(* im re) |
(* re (+ im (* -1/6 (* im (pow re 2))))) |
(* re (+ im (* (pow re 2) (+ (* -1/6 im) (* 1/120 (* im (pow re 2))))))) |
(* re (+ im (* (pow re 2) (+ (* -1/6 im) (* (pow re 2) (+ (* -1/5040 (* im (pow re 2))) (* 1/120 im))))))) |
(* 1/2 (- (exp (neg im)) (exp im))) |
(+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))) |
(* 1/2 (* im (- (* -1/3 (pow im 2)) 2))) |
(+ (* -1/12 (* im (* (pow re 2) (- (* -1/3 (pow im 2)) 2)))) (* 1/2 (* im (- (* -1/3 (pow im 2)) 2)))) |
1/2 |
(+ 1/2 (* -1/12 (pow re 2))) |
(* re (+ (* 1/2 (- (* -1/3 (pow im 2)) 2)) (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120)))) |
(* re (+ (* 1/2 (- (* -1/3 (pow im 2)) 2)) (+ (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120)) (* (pow re 2) (+ (* -1/12 (- (* -1/3 (pow im 2)) 2)) (* (pow im 4) (+ 1/720 (* 1/30240 (pow im 2))))))))) |
(* re (- (* -1/5040 (pow im 2)) 1/120)) |
(* re (- (+ (* -1/5040 (pow im 2)) (* (pow re 2) (+ 1/720 (* 1/30240 (pow im 2))))) 1/120)) |
(* 1/2 (* re (- (* -1/3 (pow im 2)) 2))) |
(* re (+ (* -1/12 (* (pow re 2) (- (* -1/3 (pow im 2)) 2))) (* 1/2 (- (* -1/3 (pow im 2)) 2)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (sin re)) |
(sin re) |
(* im (* (sin re) (- (* -1/6 (pow im 2)) 1))) |
(* im (sin re)) |
(* -1/12 (* (pow re 3) (- (exp (neg im)) (exp im)))) |
(* (pow re 3) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2))))) |
(* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) |
(* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2))))) |
(* -1/12 (* im (* (pow re 2) (- (* -1/3 (pow im 2)) 2)))) |
(* (pow re 2) (+ (* -1/12 (* im (- (* -1/3 (pow im 2)) 2))) (* 1/2 (/ (* im (- (* -1/3 (pow im 2)) 2)) (pow re 2))))) |
(* -1/12 (pow re 3)) |
(* (pow re 3) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(* -1/12 (pow re 2)) |
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(* (pow re 3) (+ (* -1/12 (- (* -1/3 (pow im 2)) 2)) (* (pow im 4) (+ 1/720 (* 1/30240 (pow im 2)))))) |
(* (pow re 3) (+ (* -1/12 (- (* -1/3 (pow im 2)) 2)) (+ (* 1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2))) (+ (* (pow im 4) (+ 1/720 (* 1/30240 (pow im 2)))) (/ (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120)) (pow re 2)))))) |
(* (pow re 3) (+ 1/720 (* 1/30240 (pow im 2)))) |
(* (pow re 3) (- (+ 1/720 (+ (* -1/5040 (/ (pow im 2) (pow re 2))) (* 1/30240 (pow im 2)))) (* 1/120 (/ 1 (pow re 2))))) |
(* -1/12 (* (pow re 3) (- (* -1/3 (pow im 2)) 2))) |
(* (pow re 3) (+ (* -1/12 (- (* -1/3 (pow im 2)) 2)) (* 1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2))))) |
(* -1 (* (pow re 3) (+ (* -1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2))) (* 1/12 (- (exp (neg im)) (exp im)))))) |
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2)))))) |
(* -1 (* (pow re 3) (+ (* 1/12 (- (* -1/3 (pow im 2)) 2)) (* (pow im 4) (- (* -1/30240 (pow im 2)) 1/720))))) |
(* -1 (* (pow re 3) (+ (* -1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2))) (+ (* 1/12 (- (* -1/3 (pow im 2)) 2)) (+ (* (pow im 4) (- (* -1/30240 (pow im 2)) 1/720)) (/ (* (pow im 4) (+ 1/120 (* 1/5040 (pow im 2)))) (pow re 2))))))) |
(* -1 (* (pow re 3) (- (* -1/30240 (pow im 2)) 1/720))) |
(* -1 (* (pow re 3) (- (+ (* -1/30240 (pow im 2)) (+ (* 1/5040 (/ (pow im 2) (pow re 2))) (* 1/120 (/ 1 (pow re 2))))) 1/720))) |
(* -1 (* (pow re 3) (+ (* -1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2))) (* 1/12 (- (* -1/3 (pow im 2)) 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)) |
(* -2 (* im (* re (+ 1/2 (* -1/12 (pow re 2)))))) |
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/3 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))) |
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/60 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))) |
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))))) |
(* -2 (* im (+ 1/2 (* -1/12 (pow re 2))))) |
(* im (+ (* -2 (+ 1/2 (* -1/12 (pow re 2)))) (* -1/3 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2))))))) |
(* im (+ (* -2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/12 (pow re 2)))) (* -1/60 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2))))))))) |
(* im (+ (* -2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* -1/60 (+ 1/2 (* -1/12 (pow re 2)))) (* -1/2520 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2))))))))))) |
(* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) |
(+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/3 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))) |
(+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/60 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))) |
(+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))))) |
(* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) |
(+ (* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 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) |
-1 |
(- (* -1/6 (pow im 2)) 1) |
-2 |
(- (* -1/3 (pow im 2)) 2) |
(- (exp (neg im)) (exp im)) |
(* -1/6 (* (pow im 3) (sin re))) |
(* (pow im 3) (+ (* -1 (/ (sin re) (pow im 2))) (* -1/6 (sin re)))) |
(* re (* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (neg im)) (exp im)))) |
(* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (neg im)) (exp im))) |
(* -1/3 (* (pow im 3) (+ 1/2 (* -1/12 (pow re 2))))) |
(* (pow im 3) (+ (* -2 (/ (+ 1/2 (* -1/12 (pow re 2))) (pow im 2))) (* -1/3 (+ 1/2 (* -1/12 (pow re 2)))))) |
(* -1/2520 (* (pow im 6) (* re (+ 1/2 (* -1/12 (pow re 2)))))) |
(* (pow im 6) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))))) |
(* (pow im 6) (+ (* -1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2)))))))) |
(* (pow im 6) (+ (* -2 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 6))) (+ (* -1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))))))) |
(* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))) |
(* (pow im 2) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))))) |
(* -1/2520 (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)) |
(* -1/6 (pow im 2)) |
(* -1 (* (pow im 2) (+ 1/6 (/ 1 (pow im 2))))) |
(* -1/3 (pow im 2)) |
(* -1 (* (pow im 2) (+ 1/3 (* 2 (/ 1 (pow im 2)))))) |
(* -1/3 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))) |
(* (pow im 2) (+ (* -2 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(- (exp (* -1 im)) (exp im)) |
(* -1 (* (pow im 3) (+ (* 1/6 (sin re)) (/ (sin re) (pow im 2))))) |
(* re (* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (* -1 im)) (exp im)))) |
(* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (* -1 im)) (exp im))) |
(* -1 (* (pow im 3) (+ (* 1/3 (+ 1/2 (* -1/12 (pow re 2)))) (* 2 (/ (+ 1/2 (* -1/12 (pow re 2))) (pow im 2)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 35.0ms | 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))) (* (* (sin re) im) (+ (* (* im im) -1/6) -1)) (* (sin re) im) (* re im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (+ (* (pow im 4) (+ (* (* (* (+ (* -1/12 (* re re)) 1/2) re) (* -1/2520 im)) im) (* (* (+ (* -1/12 (* re re)) 1/2) re) -1/60))) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2))) (+ (* (* (* (+ (* -1/12 (* re re)) 1/2) re) (* -1/2520 im)) im) (* (* (+ (* -1/12 (* re re)) 1/2) re) -1/60)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (+ (* (* -1/2520 im) im) -1/60) (+ (* (+ (* (* -1/2520 im) im) -1/60) (* im im)) -1/3) (+ (* (* im im) -1/6) -1) (+ (* -1/3 (* im im)) -2) (- (exp (neg im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2))) |
| 5.0ms | 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))) (* (* (sin re) im) (+ (* (* im im) -1/6) -1)) (* (sin re) im) (* re im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (+ (* (pow im 4) (+ (* (* (* (+ (* -1/12 (* re re)) 1/2) re) (* -1/2520 im)) im) (* (* (+ (* -1/12 (* re re)) 1/2) re) -1/60))) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2))) (+ (* (* (* (+ (* -1/12 (* re re)) 1/2) re) (* -1/2520 im)) im) (* (* (+ (* -1/12 (* re re)) 1/2) re) -1/60)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (+ (* (* -1/2520 im) im) -1/60) (+ (* (+ (* (* -1/2520 im) im) -1/60) (* im im)) -1/3) (+ (* (* im im) -1/6) -1) (+ (* -1/3 (* im im)) -2) (- (exp (neg im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2))) |
| 4.0ms | 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))) (* (* (sin re) im) (+ (* (* im im) -1/6) -1)) (* (sin re) im) (* re im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (+ (* (pow im 4) (+ (* (* (* (+ (* -1/12 (* re re)) 1/2) re) (* -1/2520 im)) im) (* (* (+ (* -1/12 (* re re)) 1/2) re) -1/60))) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2))) (+ (* (* (* (+ (* -1/12 (* re re)) 1/2) re) (* -1/2520 im)) im) (* (* (+ (* -1/12 (* re re)) 1/2) re) -1/60)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (+ (* (* -1/2520 im) im) -1/60) (+ (* (+ (* (* -1/2520 im) im) -1/60) (* im im)) -1/3) (+ (* (* im im) -1/6) -1) (+ (* -1/3 (* im im)) -2) (- (exp (neg im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2))) |
| 4.0ms | 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))) (* (* (sin re) im) (+ (* (* im im) -1/6) -1)) (* (sin re) im) (* re im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (+ (* (pow im 4) (+ (* (* (* (+ (* -1/12 (* re re)) 1/2) re) (* -1/2520 im)) im) (* (* (+ (* -1/12 (* re re)) 1/2) re) -1/60))) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2))) (+ (* (* (* (+ (* -1/12 (* re re)) 1/2) re) (* -1/2520 im)) im) (* (* (+ (* -1/12 (* re re)) 1/2) re) -1/60)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (+ (* (* -1/2520 im) im) -1/60) (+ (* (+ (* (* -1/2520 im) im) -1/60) (* im im)) -1/3) (+ (* (* im im) -1/6) -1) (+ (* -1/3 (* im im)) -2) (- (exp (neg im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2))) |
| 4.0ms | 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))) (* (* (sin re) im) (+ (* (* im im) -1/6) -1)) (* (sin re) im) (* re im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (+ (* (pow im 4) (+ (* (* (* (+ (* -1/12 (* re re)) 1/2) re) (* -1/2520 im)) im) (* (* (+ (* -1/12 (* re re)) 1/2) re) -1/60))) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2))) (+ (* (* (* (+ (* -1/12 (* re re)) 1/2) re) (* -1/2520 im)) im) (* (* (+ (* -1/12 (* re re)) 1/2) re) -1/60)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (+ (* (* -1/2520 im) im) -1/60) (+ (* (+ (* (* -1/2520 im) im) -1/60) (* im im)) -1/3) (+ (* (* im im) -1/6) -1) (+ (* -1/3 (* im im)) -2) (- (exp (neg im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 394 | 2310 |
| 1 | 1354 | 2049 |
| 2 | 5265 | 1851 |
| 0 | 9095 | 1699 |
| 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)))) |
(* im (* re (- (* -1/6 (pow im 2)) 1))) |
(* re (+ (* -1/6 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* im (- (* -1/6 (pow im 2)) 1)))) |
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* 1/120 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))))))) |
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* (pow re 2) (+ (* -1/5040 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* 1/120 (* im (- (* -1/6 (pow im 2)) 1))))))))) |
(* im re) |
(* re (+ im (* -1/6 (* im (pow re 2))))) |
(* re (+ im (* (pow re 2) (+ (* -1/6 im) (* 1/120 (* im (pow re 2))))))) |
(* re (+ im (* (pow re 2) (+ (* -1/6 im) (* (pow re 2) (+ (* -1/5040 (* im (pow re 2))) (* 1/120 im))))))) |
(* 1/2 (- (exp (neg im)) (exp im))) |
(+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))) |
(* 1/2 (* im (- (* -1/3 (pow im 2)) 2))) |
(+ (* -1/12 (* im (* (pow re 2) (- (* -1/3 (pow im 2)) 2)))) (* 1/2 (* im (- (* -1/3 (pow im 2)) 2)))) |
1/2 |
(+ 1/2 (* -1/12 (pow re 2))) |
(* re (+ (* 1/2 (- (* -1/3 (pow im 2)) 2)) (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120)))) |
(* re (+ (* 1/2 (- (* -1/3 (pow im 2)) 2)) (+ (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120)) (* (pow re 2) (+ (* -1/12 (- (* -1/3 (pow im 2)) 2)) (* (pow im 4) (+ 1/720 (* 1/30240 (pow im 2))))))))) |
(* re (- (* -1/5040 (pow im 2)) 1/120)) |
(* re (- (+ (* -1/5040 (pow im 2)) (* (pow re 2) (+ 1/720 (* 1/30240 (pow im 2))))) 1/120)) |
(* 1/2 (* re (- (* -1/3 (pow im 2)) 2))) |
(* re (+ (* -1/12 (* (pow re 2) (- (* -1/3 (pow im 2)) 2))) (* 1/2 (- (* -1/3 (pow im 2)) 2)))) |
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (sin re)) |
(sin re) |
(* im (* (sin re) (- (* -1/6 (pow im 2)) 1))) |
(* im (sin re)) |
(* -1/12 (* (pow re 3) (- (exp (neg im)) (exp im)))) |
(* (pow re 3) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2))))) |
(* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) |
(* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2))))) |
(* -1/12 (* im (* (pow re 2) (- (* -1/3 (pow im 2)) 2)))) |
(* (pow re 2) (+ (* -1/12 (* im (- (* -1/3 (pow im 2)) 2))) (* 1/2 (/ (* im (- (* -1/3 (pow im 2)) 2)) (pow re 2))))) |
(* -1/12 (pow re 3)) |
(* (pow re 3) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(* -1/12 (pow re 2)) |
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(* (pow re 3) (+ (* -1/12 (- (* -1/3 (pow im 2)) 2)) (* (pow im 4) (+ 1/720 (* 1/30240 (pow im 2)))))) |
(* (pow re 3) (+ (* -1/12 (- (* -1/3 (pow im 2)) 2)) (+ (* 1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2))) (+ (* (pow im 4) (+ 1/720 (* 1/30240 (pow im 2)))) (/ (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120)) (pow re 2)))))) |
(* (pow re 3) (+ 1/720 (* 1/30240 (pow im 2)))) |
(* (pow re 3) (- (+ 1/720 (+ (* -1/5040 (/ (pow im 2) (pow re 2))) (* 1/30240 (pow im 2)))) (* 1/120 (/ 1 (pow re 2))))) |
(* -1/12 (* (pow re 3) (- (* -1/3 (pow im 2)) 2))) |
(* (pow re 3) (+ (* -1/12 (- (* -1/3 (pow im 2)) 2)) (* 1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2))))) |
(* -1 (* (pow re 3) (+ (* -1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2))) (* 1/12 (- (exp (neg im)) (exp im)))))) |
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2)))))) |
(* -1 (* (pow re 3) (+ (* 1/12 (- (* -1/3 (pow im 2)) 2)) (* (pow im 4) (- (* -1/30240 (pow im 2)) 1/720))))) |
(* -1 (* (pow re 3) (+ (* -1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2))) (+ (* 1/12 (- (* -1/3 (pow im 2)) 2)) (+ (* (pow im 4) (- (* -1/30240 (pow im 2)) 1/720)) (/ (* (pow im 4) (+ 1/120 (* 1/5040 (pow im 2)))) (pow re 2))))))) |
(* -1 (* (pow re 3) (- (* -1/30240 (pow im 2)) 1/720))) |
(* -1 (* (pow re 3) (- (+ (* -1/30240 (pow im 2)) (+ (* 1/5040 (/ (pow im 2) (pow re 2))) (* 1/120 (/ 1 (pow re 2))))) 1/720))) |
(* -1 (* (pow re 3) (+ (* -1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2))) (* 1/12 (- (* -1/3 (pow im 2)) 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)) |
(* -2 (* im (* re (+ 1/2 (* -1/12 (pow re 2)))))) |
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/3 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))) |
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/60 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))) |
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))))) |
(* -2 (* im (+ 1/2 (* -1/12 (pow re 2))))) |
(* im (+ (* -2 (+ 1/2 (* -1/12 (pow re 2)))) (* -1/3 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2))))))) |
(* im (+ (* -2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/12 (pow re 2)))) (* -1/60 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2))))))))) |
(* im (+ (* -2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* -1/60 (+ 1/2 (* -1/12 (pow re 2)))) (* -1/2520 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2))))))))))) |
(* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) |
(+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/3 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))) |
(+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/60 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))) |
(+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))))) |
(* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) |
(+ (* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 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) |
-1 |
(- (* -1/6 (pow im 2)) 1) |
-2 |
(- (* -1/3 (pow im 2)) 2) |
(- (exp (neg im)) (exp im)) |
(* -1/6 (* (pow im 3) (sin re))) |
(* (pow im 3) (+ (* -1 (/ (sin re) (pow im 2))) (* -1/6 (sin re)))) |
(* re (* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (neg im)) (exp im)))) |
(* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (neg im)) (exp im))) |
(* -1/3 (* (pow im 3) (+ 1/2 (* -1/12 (pow re 2))))) |
(* (pow im 3) (+ (* -2 (/ (+ 1/2 (* -1/12 (pow re 2))) (pow im 2))) (* -1/3 (+ 1/2 (* -1/12 (pow re 2)))))) |
(* -1/2520 (* (pow im 6) (* re (+ 1/2 (* -1/12 (pow re 2)))))) |
(* (pow im 6) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))))) |
(* (pow im 6) (+ (* -1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2)))))))) |
(* (pow im 6) (+ (* -2 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 6))) (+ (* -1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))))))) |
(* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))) |
(* (pow im 2) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))))) |
(* -1/2520 (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)) |
(* -1/6 (pow im 2)) |
(* -1 (* (pow im 2) (+ 1/6 (/ 1 (pow im 2))))) |
(* -1/3 (pow im 2)) |
(* -1 (* (pow im 2) (+ 1/3 (* 2 (/ 1 (pow im 2)))))) |
(* -1/3 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))) |
(* (pow im 2) (+ (* -2 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))))) |
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) |
(- (exp (* -1 im)) (exp im)) |
(* -1 (* (pow im 3) (+ (* 1/6 (sin re)) (/ (sin re) (pow im 2))))) |
(* re (* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (* -1 im)) (exp im)))) |
(* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (* -1 im)) (exp im))) |
(* -1 (* (pow im 3) (+ (* 1/3 (+ 1/2 (* -1/12 (pow re 2)))) (* 2 (/ (+ 1/2 (* -1/12 (pow re 2))) (pow im 2)))))) |
| Outputs |
|---|
(* 1/2 (* re (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (-.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)) re) (-.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))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) |
(*.f64 (*.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)) (*.f64 (*.f64 re re) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))))) 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 (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 (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) |
(* 1/2 re) |
(*.f64 #s(literal 1/2 binary64) re) |
(* 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) |
(* im (* re (- (* -1/6 (pow im 2)) 1))) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) re) |
(* re (+ (* -1/6 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* im (- (* -1/6 (pow im 2)) 1)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im))) re) |
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* 1/120 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))))))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))) (*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) re)) |
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* (pow re 2) (+ (* -1/5040 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* 1/120 (* im (- (* -1/6 (pow im 2)) 1))))))))) |
(*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 im (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)))) re) |
(* im re) |
(*.f64 im re) |
(* re (+ im (* -1/6 (* im (pow re 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) im) re) |
(* re (+ im (* (pow re 2) (+ (* -1/6 im) (* 1/120 (* im (pow re 2))))))) |
(*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))) (*.f64 re re) im) re) |
(* re (+ im (* (pow re 2) (+ (* -1/6 im) (* (pow re 2) (+ (* -1/5040 (* im (pow re 2))) (* 1/120 im))))))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64))) re) re (*.f64 #s(literal -1/6 binary64) im)) (*.f64 im re)) |
(* 1/2 (- (exp (neg im)) (exp im))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))) |
(*.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))) |
(* 1/2 (* im (- (* -1/3 (pow im 2)) 2))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* im (* (pow re 2) (- (* -1/3 (pow im 2)) 2)))) (* 1/2 (* im (- (* -1/3 (pow im 2)) 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
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)) |
(* re (+ (* 1/2 (- (* -1/3 (pow im 2)) 2)) (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal 1/2 binary64))) re) |
(* re (+ (* 1/2 (- (* -1/3 (pow im 2)) 2)) (+ (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120)) (* (pow re 2) (+ (* -1/12 (- (* -1/3 (pow im 2)) 2)) (* (pow im 4) (+ 1/720 (* 1/30240 (pow im 2))))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/30240 binary64) (*.f64 im im) #s(literal 1/720 binary64)) re) re (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))) re) |
(* re (- (* -1/5040 (pow im 2)) 1/120)) |
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) re) |
(* re (- (+ (* -1/5040 (pow im 2)) (* (pow re 2) (+ 1/720 (* 1/30240 (pow im 2))))) 1/120)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/30240 binary64) (*.f64 im im) #s(literal 1/720 binary64)) re) re (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) re) |
(* 1/2 (* re (- (* -1/3 (pow im 2)) 2))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) #s(literal 1/2 binary64)) |
(* re (+ (* -1/12 (* (pow re 2) (- (* -1/3 (pow im 2)) 2))) (* 1/2 (- (* -1/3 (pow im 2)) 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 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)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(sin re) |
(sin.f64 re) |
(* im (* (sin re) (- (* -1/6 (pow im 2)) 1))) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) (sin.f64 re)) |
(* im (sin re)) |
(*.f64 (sin.f64 re) im) |
(* -1/12 (* (pow re 3) (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/12 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* (pow re 3) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2))))) |
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64))) (pow.f64 re #s(literal 3 binary64))) |
(* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2))))) |
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64))) (*.f64 re re)) |
(* -1/12 (* im (* (pow re 2) (- (* -1/3 (pow im 2)) 2)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re) |
(* (pow re 2) (+ (* -1/12 (* im (- (* -1/3 (pow im 2)) 2))) (* 1/2 (/ (* im (- (* -1/3 (pow im 2)) 2)) (pow re 2))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64))) (*.f64 re re)) |
(* -1/12 (pow re 3)) |
(*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/12 binary64)) |
(* (pow re 3) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (pow.f64 re #s(literal 3 binary64))) |
(* -1/12 (pow re 2)) |
(*.f64 (*.f64 re re) #s(literal -1/12 binary64)) |
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re) |
(* (pow re 3) (+ (* -1/12 (- (* -1/3 (pow im 2)) 2)) (* (pow im 4) (+ 1/720 (* 1/30240 (pow im 2)))))) |
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(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64))) (*.f64 im 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)) |
(* -1 (* (pow im 3) (+ (* 1/6 (sin re)) (/ (sin re) (pow im 2))))) |
(*.f64 (*.f64 (sin.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 im im)) #s(literal -1/6 binary64))) (pow.f64 im #s(literal 3 binary64))) |
(* re (* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (* -1 im)) (exp im))) |
(*.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))) |
(* -1 (* (pow im 3) (+ (* 1/3 (+ 1/2 (* -1/12 (pow re 2)))) (* 2 (/ (+ 1/2 (* -1/12 (pow re 2))) (pow im 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64))) (pow.f64 im #s(literal 3 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 574 |
| 0 | 113 | 574 |
| 1 | 406 | 538 |
| 2 | 2370 | 538 |
| 0 | 8067 | 538 |
| 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 (*.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(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 #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)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) |
#s(approx (* (sin re) im) (*.f64 re im)) |
(*.f64 re im) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)) |
(*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re) |
#s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (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 (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)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im))) |
#s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)) |
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 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 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -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)) |
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) |
| 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 #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 (*.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 (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 (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 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) #s(approx (* (sin re) im) (*.f64 im re)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) #s(approx (* (sin re) im) (*.f64 im re))) |
(*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (pow.f64 #s(approx (* (sin re) im) (*.f64 im re)) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re))) #s(literal 3 binary64))) (+.f64 (pow.f64 (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re))) #s(literal 2 binary64)) (*.f64 (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) #s(approx (* (sin re) im) (*.f64 im re)))) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1 binary64)) #s(approx (* (sin re) im) (*.f64 im re)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal 1/6 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal 1/6 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re))) #s(literal 2 binary64)) (pow.f64 (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re))) #s(literal 2 binary64)) (-.f64 (pow.f64 (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) #s(approx (* (sin re) im) (*.f64 im re))) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1 binary64)) #s(approx (* (sin re) im) (*.f64 im re))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal 1/6 binary64))))) |
(/.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal 1/6 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re))) #s(literal 2 binary64)) (pow.f64 (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re))) #s(literal 2 binary64)) (-.f64 (pow.f64 (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))))) |
(fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) #s(literal -1/6 binary64)) (*.f64 im im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))) |
(fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))) |
(fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re)) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))) |
(fma.f64 #s(literal -1 binary64) #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))) |
(fma.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))) |
(fma.f64 #s(approx (* (sin re) im) (*.f64 im re)) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re)))) |
(fma.f64 (*.f64 im im) (*.f64 #s(literal -1/6 binary64) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))) |
(fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) (/.f64 (pow.f64 (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))) |
(+.f64 (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re)))) |
(+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))) |
#s(approx (* (sin re) im) (*.f64 im re)) |
(*.f64 im re) |
(*.f64 re im) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) re)) |
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(*.f64 re #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))))) |
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(fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 re #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal -1/3 binary64)) (*.f64 im im))) |
(fma.f64 #s(literal -2 binary64) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal -1/3 binary64)) (*.f64 im im))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) re)) |
(fma.f64 (*.f64 im im) (*.f64 #s(literal -1/3 binary64) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) re)) |
(fma.f64 re (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -1/3 binary64)) (*.f64 im im)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) re)) |
(fma.f64 re (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal -1/3 binary64)) (*.f64 im im))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal -1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal -1/3 binary64)) (*.f64 im im)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) re))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) re) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal -1/3 binary64)) (*.f64 im im)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) re)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) re) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal -1/3 binary64)) (*.f64 im im))) |
(+.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal -1/3 binary64)) (*.f64 im im)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) re)) |
Compiled 59 206 to 3 882 computations (93.4% saved)
36 alts after pruning (27 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 683 | 13 | 696 |
| Fresh | 4 | 14 | 18 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 7 | 7 |
| Total | 690 | 36 | 726 |
| Status | Accuracy | Program |
|---|---|---|
| 52.2% | (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))))) | |
| 12.8% | (/.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))) | |
| ✓ | 63.6% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| ✓ | 91.9% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #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))) |
| ✓ | 90.0% | (*.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))) |
| 57.5% | (*.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))) | |
| 21.1% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) 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))) | |
| 58.6% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) 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))) | |
| ✓ | 52.2% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 58.6% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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))) | |
| ✓ | 57.8% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #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))) |
| 58.6% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) | |
| 57.8% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) im))) | |
| 52.6% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) | |
| 29.3% | (*.f64 #s(approx (* 1/2 (sin re)) #s(approx (* (+ (* (* re re) -1/12) 1/2) re) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (pow.f64 re #s(literal 3 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))) | |
| 47.5% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) | |
| 46.1% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) | |
| 46.1% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) | |
| 27.7% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 im (sin.f64 re)) (*.f64 im (sin.f64 re)))) (+.f64 #s(literal 0 binary64) (*.f64 im (sin.f64 re))))) | |
| 82.8% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) (sin.f64 re))) | |
| 53.9% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im)))) (sin.f64 re))) | |
| ✓ | 51.0% | #s(approx (* (* 1/2 (sin re)) (- (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)) |
| 77.7% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) (sin.f64 re)) im)) | |
| ✓ | 50.6% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) |
| 33.0% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)) | |
| 41.3% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re)) | |
| 44.1% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)) | |
| 20.5% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re)) | |
| ✓ | 47.5% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
| 47.5% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) | |
| 36.0% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))) | |
| 57.3% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) im))) | |
| 50.7% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (*.f64 (sin.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 im im)) #s(literal -1/6 binary64))) (pow.f64 im #s(literal 3 binary64))))) | |
| 34.4% | #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))) | |
| ✓ | 29.7% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) |
| 52.0% | #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (log.f64 (exp.f64 (neg.f64 im))) re))) |
Compiled 2 984 to 1 091 computations (63.4% saved)
| Inputs |
|---|
#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))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.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 #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))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #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 #s(literal 1/2 binary64) 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(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 #s(literal 1/2 binary64) 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))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) 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(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 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #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))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) 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(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 (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))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) |
#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 (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) (sin.f64 re)) 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 (*.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 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im)))) (sin.f64 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 #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 (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 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #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)) #s(approx (* (+ (* (* re re) -1/12) 1/2) re) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (pow.f64 re #s(literal 3 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))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (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 (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (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 (log.f64 (exp.f64 (neg.f64 im))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) (sin.f64 re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.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))))) |
#s(approx (* (* 1/2 (sin re)) (- (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)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (*.f64 (sin.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 im im)) #s(literal -1/6 binary64))) (pow.f64 im #s(literal 3 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 im (sin.f64 re)) (*.f64 im (sin.f64 re)))) (+.f64 #s(literal 0 binary64) (*.f64 im (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 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im))) |
6 calls:
| 35.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 31.0ms | re |
| 17.0ms | (sin.f64 re) |
| 14.0ms | im |
| 12.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.9% | 1 | re |
| 99.9% | 2 | im |
| 98.8% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 91.9% | 1 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 91.9% | 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 (* (* 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))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.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 #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))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #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 #s(literal 1/2 binary64) 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(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 #s(literal 1/2 binary64) 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))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) 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(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 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #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))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) 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(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 (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))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) |
#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 (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) (sin.f64 re)) 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 (*.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 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im)))) (sin.f64 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 #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 (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 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #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)) #s(approx (* (+ (* (* re re) -1/12) 1/2) re) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (pow.f64 re #s(literal 3 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))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (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 (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (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 (log.f64 (exp.f64 (neg.f64 im))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) (sin.f64 re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.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))))) |
#s(approx (* (* 1/2 (sin re)) (- (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)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (*.f64 (sin.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 im im)) #s(literal -1/6 binary64))) (pow.f64 im #s(literal 3 binary64))))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) 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:
| 19.0ms | im |
| 11.0ms | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 2 | im |
| 99.4% | 2 | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
Compiled 7 to 8 computations (-14.3% saved)
| Inputs |
|---|
#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))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.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 #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))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #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 #s(literal 1/2 binary64) 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(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 #s(literal 1/2 binary64) 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))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) 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(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 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #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))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) 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(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 (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))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) |
#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 (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) (sin.f64 re)) 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 (*.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 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im)))) (sin.f64 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 #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 (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 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #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)) #s(approx (* (+ (* (* re re) -1/12) 1/2) re) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (pow.f64 re #s(literal 3 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))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (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 (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (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 (log.f64 (exp.f64 (neg.f64 im))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) (sin.f64 re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) 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))) |
3 calls:
| 16.0ms | im |
| 10.0ms | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 10.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 98.3% | 3 | im |
| 91.9% | 1 | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
Compiled 18 to 18 computations (0% saved)
| Inputs |
|---|
#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))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.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 #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))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #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 #s(literal 1/2 binary64) 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(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 #s(literal 1/2 binary64) 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))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) 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(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 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #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))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) 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(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 (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))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) |
#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 (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) (sin.f64 re)) 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 (*.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 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im)))) (sin.f64 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 #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 (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 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #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)) #s(approx (* (+ (* (* re re) -1/12) 1/2) re) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (pow.f64 re #s(literal 3 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))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (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 (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (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 (log.f64 (exp.f64 (neg.f64 im))) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) (sin.f64 re))) |
| Outputs |
|---|
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (log.f64 (exp.f64 (neg.f64 im))) re))) |
(*.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))) |
1 calls:
| 54.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 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 (* (* 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))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.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 #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))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #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 #s(literal 1/2 binary64) 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(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 #s(literal 1/2 binary64) 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))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) 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(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 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #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))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) 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(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 (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))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) |
#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 (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) (sin.f64 re)) 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 (*.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 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im)))) (sin.f64 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 #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 (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 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #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)) #s(approx (* (+ (* (* re re) -1/12) 1/2) re) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (pow.f64 re #s(literal 3 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))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (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 (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) 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))) |
3 calls:
| 16.0ms | im |
| 12.0ms | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 9.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.9% | 1 | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 91.9% | 1 | im |
| 91.9% | 1 | (*.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 (* (* 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))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.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 #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))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #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 #s(literal 1/2 binary64) 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(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 #s(literal 1/2 binary64) 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))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) 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(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 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #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))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) 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(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 (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))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) |
#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 (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) (sin.f64 re)) 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 (*.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 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im)))) (sin.f64 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))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) 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 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) |
6 calls:
| 28.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 10.0ms | (sin.f64 re) |
| 10.0ms | re |
| 10.0ms | im |
| 10.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.0% | 1 | re |
| 90.0% | 1 | im |
| 90.0% | 1 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 90.0% | 1 | (sin.f64 re) |
| 93.0% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 90.0% | 1 | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
Compiled 25 to 28 computations (-12% saved)
| Inputs |
|---|
#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))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.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 #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))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #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 #s(literal 1/2 binary64) 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(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 #s(literal 1/2 binary64) 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))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) 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(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 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #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))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) 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(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 (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))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) |
#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 (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) (sin.f64 re)) 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 (*.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 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im)))) (sin.f64 re))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) 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 (*.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 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) 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))) |
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 |
|---|---|---|
| 94.4% | 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 (* (* 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))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.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 #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))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #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 #s(literal 1/2 binary64) 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(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 #s(literal 1/2 binary64) 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))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) 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(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 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #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))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) 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(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 (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))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 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 #s(literal 1/2 binary64) 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 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) 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))) |
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 |
|---|---|---|
| 94.4% | 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 (* (* 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))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.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 #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))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #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 #s(literal 1/2 binary64) 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(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 #s(literal 1/2 binary64) 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))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) 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(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 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #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))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) 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(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 (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))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) im))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) im))) |
| Outputs |
|---|
(*.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 (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))) #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))) |
6 calls:
| 11.0ms | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 9.0ms | (sin.f64 re) |
| 9.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 8.0ms | re |
| 8.0ms | im |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.6% | 1 | re |
| 69.3% | 2 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 69.3% | 2 | (sin.f64 re) |
| 60.6% | 2 | im |
| 58.6% | 1 | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 69.2% | 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 (* (* 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))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.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 #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))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #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 #s(literal 1/2 binary64) 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(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 #s(literal 1/2 binary64) 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))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) 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(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 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #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))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) 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))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) 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(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) 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:
| 8.0ms | (sin.f64 re) |
| 8.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.2% | 2 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 69.2% | 2 | (sin.f64 re) |
Compiled 6 to 8 computations (-33.3% saved)
| Inputs |
|---|
#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))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.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 #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))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #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 #s(literal 1/2 binary64) 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(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 #s(literal 1/2 binary64) 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))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) 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(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 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #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))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)) |
| Outputs |
|---|
(*.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 #s(literal 1/2 binary64) 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:
| 25.0ms | (sin.f64 re) |
| 7.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 6.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.8% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 68.8% | 2 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 68.8% | 2 | (sin.f64 re) |
Compiled 17 to 18 computations (-5.9% saved)
| Inputs |
|---|
#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))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.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 #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))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #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 #s(literal 1/2 binary64) 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(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 #s(literal 1/2 binary64) 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))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) 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))) |
| Outputs |
|---|
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) 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:
| 29.0ms | (sin.f64 re) |
| 6.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 5.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.4% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 68.5% | 2 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 68.5% | 2 | (sin.f64 re) |
Compiled 17 to 18 computations (-5.9% saved)
| Inputs |
|---|
#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))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.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 #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))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #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 |
|---|
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) im))) |
3 calls:
| 6.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 5.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 5.0ms | (sin.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.7% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 67.7% | 2 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 67.7% | 2 | (sin.f64 re) |
Compiled 17 to 18 computations (-5.9% saved)
| Inputs |
|---|
#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))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.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 #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))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)) |
| Outputs |
|---|
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 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))) |
3 calls:
| 5.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 5.0ms | (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 |
|---|---|---|
| 62.4% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 64.1% | 2 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 64.1% | 2 | (sin.f64 re) |
Compiled 17 to 18 computations (-5.9% saved)
| Inputs |
|---|
#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))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.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 #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))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re)) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re)) |
| Outputs |
|---|
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
2 calls:
| 13.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 5.0ms | (sin.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.1% | 3 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 64.1% | 3 | (sin.f64 re) |
Compiled 6 to 8 computations (-33.3% saved)
| Inputs |
|---|
#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))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.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 #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))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re)) |
| Outputs |
|---|
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
2 calls:
| 4.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 4.0ms | (sin.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.1% | 3 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 64.1% | 3 | (sin.f64 re) |
Compiled 6 to 8 computations (-33.3% saved)
| Inputs |
|---|
#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))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.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 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
| Outputs |
|---|
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))) |
3 calls:
| 4.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 4.0ms | (sin.f64 re) |
| 3.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.7% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 63.3% | 3 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 63.3% | 3 | (sin.f64 re) |
Compiled 17 to 18 computations (-5.9% saved)
| Inputs |
|---|
#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))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) |
| Outputs |
|---|
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) |
2 calls:
| 88.0ms | (sin.f64 re) |
| 4.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.7% | 2 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 61.7% | 2 | (sin.f64 re) |
Compiled 6 to 8 computations (-33.3% saved)
| Inputs |
|---|
#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))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)) |
| Outputs |
|---|
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #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))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
6 calls:
| 3.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 3.0ms | (sin.f64 re) |
| 2.0ms | re |
| 2.0ms | im |
| 2.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.5% | 1 | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 47.5% | 1 | re |
| 47.5% | 1 | im |
| 56.6% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 56.6% | 2 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 56.6% | 2 | (sin.f64 re) |
Compiled 25 to 28 computations (-12% saved)
| Inputs |
|---|
#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))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
| Outputs |
|---|
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
4 calls:
| 11.0ms | re |
| 2.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 2.0ms | (sin.f64 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 |
|---|---|---|
| 47.5% | 1 | re |
| 47.5% | 1 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 47.5% | 1 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 47.5% | 1 | (sin.f64 re) |
Compiled 18 to 20 computations (-11.1% saved)
| Inputs |
|---|
#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))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))) |
| Outputs |
|---|
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))) |
6 calls:
| 2.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 2.0ms | re |
| 2.0ms | (sin.f64 re) |
| 2.0ms | im |
| 1.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.5% | 2 | im |
| 47.5% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 36.0% | 1 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 36.0% | 1 | (sin.f64 re) |
| 47.5% | 2 | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 36.0% | 1 | re |
Compiled 25 to 28 computations (-12% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#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:
| 1.0ms | (sin.f64 re) |
| 1.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 1.0ms | re |
| 1.0ms | im |
| 1.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 29.7% | 1 | re |
| 29.7% | 1 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 29.7% | 1 | (sin.f64 re) |
| 29.7% | 1 | im |
| 29.7% | 1 | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 29.7% | 1 | (*.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)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -5.450371981106709 | -9.161150782421856e-8 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -71966.81103306705 | -5.450371981106709 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.929620773969073 | -1.9957061409064658 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -inf | -3.929620773969073 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.929620773969073 | -1.9957061409064658 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | +inf |
| 0.0ms | -3.929620773969073 | -1.9957061409064658 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | +inf |
| 0.0ms | -3.929620773969073 | -1.9957061409064658 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0001092064721935089 | 0.07064005308801986 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.2464955630971266 | -0.2378734781619475 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.2464955630971266 | -0.2378734781619475 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.2378734781619475 | -0.1784143686588874 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.2378734781619475 | -0.1784143686588874 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0001092064721935089 | 0.07064005308801986 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.9842308564150816e-8 | 1.335349777693888e-7 |
| 0.0ms | -0.2378734781619475 | -0.1784143686588874 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.9842308564150816e-8 | 1.335349777693888e-7 |
| 0.0ms | -0.2378734781619475 | -0.1784143686588874 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.9842308564150816e-8 | 1.335349777693888e-7 |
| 0.0ms | -0.2378734781619475 | -0.1784143686588874 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.2378734781619475 | -0.1784143686588874 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.2378734781619475 | -0.1784143686588874 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.1763932009859457e-17 | -4.0237378653227358e-84 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 181 | 1683 |
| 1 | 245 | 1683 |
| 2 | 269 | 1683 |
| 3 | 285 | 1683 |
| 4 | 293 | 1683 |
| 5 | 295 | 1683 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -5 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)))) |
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -50000 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) 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 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -2 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) 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 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (log.f64 (exp.f64 (neg.f64 im))) re))) (*.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 (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 -2 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) 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 #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 -2 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) 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 0 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 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) 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 -2 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) 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 0 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 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) 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 (sin.f64 re) #s(literal 7378697629483821/36893488147419103232 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 (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))) #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)))) |
(if (<=.f64 (sin.f64 re) #s(literal -1080863910568919/4503599627370496 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) 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(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) 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 (sin.f64 re) #s(literal -1080863910568919/4503599627370496 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))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) 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 (sin.f64 re) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) 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 (sin.f64 re) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) im)))) |
(if (<=.f64 (sin.f64 re) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 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)))) |
(if (<=.f64 (sin.f64 re) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re)) (if (<=.f64 (sin.f64 re) #s(literal 944473296573929/18889465931478580854784 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))))) |
(if (<=.f64 (sin.f64 re) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re)) (if (<=.f64 (sin.f64 re) #s(literal 944473296573929/18889465931478580854784 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))))) |
(if (<=.f64 (sin.f64 re) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)) (if (<=.f64 (sin.f64 re) #s(literal 944473296573929/18889465931478580854784 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))))) |
(if (<=.f64 (sin.f64 re) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))) |
(if (<=.f64 (sin.f64 re) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #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))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -6490371073168535/649037107316853453566312041152512 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 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 (neg.f64 im) re))) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -5 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)))) |
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -5 binary64)) (*.f64 (*.f64 (sin.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 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im) (neg.f64 (sin.f64 re))))) |
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -50000 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) 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 -50000 binary64)) (*.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.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)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -2 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) 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 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #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))) (*.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)))) |
(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)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (log.f64 (exp.f64 (neg.f64 im))) re))) (*.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 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (log.f64 (exp.f64 (neg.f64 im))) 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 (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))) |
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(if (<=.f64 (sin.f64 re) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) im)) re)) (if (<=.f64 (sin.f64 re) #s(literal 944473296573929/18889465931478580854784 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 re #s(literal 1/2 binary64)))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) im) (*.f64 re re) (neg.f64 im)) re))))) |
(if (<=.f64 (sin.f64 re) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re)) (if (<=.f64 (sin.f64 re) #s(literal 944473296573929/18889465931478580854784 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))))) |
(if (<=.f64 (sin.f64 re) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re)) (if (<=.f64 (sin.f64 re) #s(literal 944473296573929/18889465931478580854784 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 re #s(literal 1/2 binary64)))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) im) (*.f64 re re) (neg.f64 im)) re))))) |
(if (<=.f64 (sin.f64 re) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)) (if (<=.f64 (sin.f64 re) #s(literal 944473296573929/18889465931478580854784 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #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 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))))) |
(if (<=.f64 (sin.f64 re) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)) (if (<=.f64 (sin.f64 re) #s(literal 944473296573929/18889465931478580854784 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 re #s(literal 1/2 binary64)))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) im) (*.f64 re re) (neg.f64 im)) re))))) |
(if (<=.f64 (sin.f64 re) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))) |
(if (<=.f64 (sin.f64 re) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)) (*.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 re #s(literal 1/2 binary64))))) |
(if (<=.f64 (sin.f64 re) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #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))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))) |
(if (<=.f64 (sin.f64 re) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #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))) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) #s(approx (* (sin re) im) (*.f64 re im))))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) #s(approx (* (sin re) im) (*.f64 re im)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -6490371073168535/649037107316853453566312041152512 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))) |
(if (<=.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -6490371073168535/649037107316853453566312041152512 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (+ (* (* im im) -1/6) -1) (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) #s(approx (* (sin re) im) (*.f64 re im)))) #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)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 249 | 1127 |
| 1 | 823 | 978 |
| 2 | 2974 | 934 |
| 3 | 7845 | 934 |
| 0 | 8325 | 857 |
| 0 | 394 | 2310 |
| 1 | 1354 | 2049 |
| 2 | 5265 | 1851 |
| 0 | 9095 | 1699 |
| 0 | 62 | 468 |
| 0 | 103 | 468 |
| 1 | 346 | 468 |
| 2 | 2283 | 468 |
| 0 | 8302 | 465 |
| 0 | 146 | 434 |
| 1 | 413 | 399 |
| 2 | 1136 | 387 |
| 3 | 3928 | 366 |
| 4 | 6803 | 366 |
| 0 | 8425 | 328 |
| 0 | 402 | 2551 |
| 1 | 1409 | 2378 |
| 2 | 5655 | 2094 |
| 0 | 8807 | 1912 |
| 0 | 66 | 574 |
| 0 | 113 | 574 |
| 1 | 406 | 538 |
| 2 | 2370 | 538 |
| 0 | 8067 | 538 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 2 507 to 893 computations (64.4% saved)
(negabs re)
Compiled 4 478 to 1 122 computations (74.9% saved)
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