
Time bar (total: 10.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 14 to 13 computations (7.1% saved)
| 906.0ms | 1 617× | 2 | valid |
| 653.0ms | 4 256× | 0 | valid |
| 612.0ms | 2 383× | 1 | valid |
ival-exp: 851.0ms (47.1% of total)ival-cos: 299.0ms (16.6% of total)ival-mult: 239.0ms (13.2% of total)adjust: 213.0ms (11.8% of total)ival-sub: 185.0ms (10.2% of total)exact: 9.0ms (0.5% of total)ival-true: 6.0ms (0.3% of total)ival-assert: 4.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 116 | 0 | - | 1 | (1.8253158078186113e+219 0.009370437176943747) | (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 0 | 0 | - | 0 | - | (exp.f64 im) |
| 0 | 0 | - | 0 | - | #s(literal 0 binary64) |
| 0 | 0 | - | 0 | - | (cos.f64 re) |
| 0 | 0 | - | 0 | - | im |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 0 binary64) im) |
| 0 | 0 | - | 0 | - | re |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 0 | 1 | (-5.715070203242863e+205 -308.2847589629082) | 0 | - | (exp.f64 (-.f64 #s(literal 0 binary64) im)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) | cancellation | 115 | 1 |
exp.f64 | (exp.f64 (-.f64 #s(literal 0 binary64) im)) | sensitivity | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 115 | 1 |
| - | 1 | 139 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 115 | 1 | 0 |
| - | 1 | 0 | 139 |
| number | freq |
|---|---|
| 0 | 140 |
| 1 | 116 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 75.0ms | 146× | 1 | valid |
| 42.0ms | 84× | 2 | valid |
| 26.0ms | 282× | 0 | valid |
Compiled 92 to 37 computations (59.8% saved)
adjust: 52.0ms (43.1% of total)ival-exp: 41.0ms (34% of total)ival-cos: 12.0ms (10% of total)ival-mult: 8.0ms (6.6% of total)ival-sub: 6.0ms (5% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 59 |
| 1 | 95 | 55 |
| 2 | 221 | 55 |
| 3 | 642 | 55 |
| 4 | 3153 | 55 |
| 0 | 11 | 12 |
| 0 | 18 | 11 |
| 1 | 38 | 11 |
| 2 | 73 | 11 |
| 3 | 201 | 11 |
| 4 | 770 | 10 |
| 5 | 7844 | 10 |
| 0 | 8010 | 10 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) |
(abs re)
(negabs im)
Compiled 12 to 11 computations (8.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 57.7% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
Compiled 12 to 11 computations (8.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) | |
| cost-diff | 1 | (-.f64 #s(literal 0 binary64) im) | |
| cost-diff | 1 | (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 38 |
| 0 | 18 | 34 |
| 1 | 38 | 34 |
| 2 | 73 | 34 |
| 3 | 201 | 34 |
| 4 | 770 | 32 |
| 5 | 7844 | 32 |
| 0 | 8010 | 32 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
#s(literal 1/2 binary64) |
(cos.f64 re) |
re |
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
(exp.f64 (-.f64 #s(literal 0 binary64) im)) |
(-.f64 #s(literal 0 binary64) im) |
#s(literal 0 binary64) |
im |
(exp.f64 im) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
(*.f64 (cos.f64 re) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(cos.f64 re) |
re |
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) |
(exp.f64 (-.f64 #s(literal 0 binary64) im)) |
(exp.f64 (neg.f64 im)) |
(-.f64 #s(literal 0 binary64) im) |
(neg.f64 im) |
#s(literal 0 binary64) |
im |
(exp.f64 im) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (exp.f64 im) | |
| accuracy | 0.0 | (cos.f64 re) | |
| accuracy | 0.05078125 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) | |
| accuracy | 27.085559786106163 | (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| 37.0ms | 42× | 2 | valid |
| 35.0ms | 141× | 0 | valid |
| 16.0ms | 73× | 1 | valid |
Compiled 40 to 13 computations (67.5% saved)
ival-exp: 37.0ms (48.8% of total)ival-sub: 24.0ms (31.7% of total)ival-cos: 6.0ms (7.9% of total)adjust: 4.0ms (5.3% of total)ival-mult: 4.0ms (5.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
(-.f64 #s(literal 0 binary64) im) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
(cos.f64 re) |
(exp.f64 im) |
| Outputs |
|---|
(* 1/2 (- (exp (neg im)) (exp im))) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im))))))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im)))))))) |
1/2 |
(+ 1/2 (* -1/4 (pow re 2))) |
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) |
1 |
(+ 1 (* -1/2 (pow re 2))) |
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) |
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) |
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (cos re)) |
(cos 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) |
(* -1 (* im (cos re))) |
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re))))))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re))))))))) |
(+ 1 im) |
(+ 1 (* im (+ 1 (* 1/2 im)))) |
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) |
(- (exp (neg im)) (exp im)) |
(exp im) |
(- (exp (* -1 im)) (exp im)) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | re | @ | 0 | ((- (exp (- 0 im)) (exp im)) (- 0 im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (exp im)) |
| 2.0ms | im | @ | inf | ((- (exp (- 0 im)) (exp im)) (- 0 im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (exp im)) |
| 2.0ms | im | @ | 0 | ((- (exp (- 0 im)) (exp im)) (- 0 im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (exp im)) |
| 2.0ms | re | @ | inf | ((- (exp (- 0 im)) (exp im)) (- 0 im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (exp im)) |
| 2.0ms | im | @ | -inf | ((- (exp (- 0 im)) (exp im)) (- 0 im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (exp im)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 126 | 381 |
| 1 | 387 | 349 |
| 2 | 1286 | 341 |
| 3 | 5237 | 320 |
| 0 | 8363 | 297 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (- (exp (neg im)) (exp im))) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im))))))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im)))))))) |
1/2 |
(+ 1/2 (* -1/4 (pow re 2))) |
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) |
1 |
(+ 1 (* -1/2 (pow re 2))) |
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) |
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) |
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (cos re)) |
(cos 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) |
(* -1 (* im (cos re))) |
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re))))))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re))))))))) |
(+ 1 im) |
(+ 1 (* im (+ 1 (* 1/2 im)))) |
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) |
(- (exp (neg im)) (exp im)) |
(exp im) |
(- (exp (* -1 im)) (exp im)) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) |
| Outputs |
|---|
(* 1/2 (- (exp (neg im)) (exp im))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im))))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/48 binary64) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im)))))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (pow.f64 re #s(literal 4 binary64)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 (pow re 2))) |
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) |
(fma.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/1440 binary64) (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64))) (*.f64 re re) #s(literal 1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow re 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) |
(fma.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64))) (*.f64 re re) #s(literal 1 binary64)) |
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (cos re)) |
(*.f64 (cos.f64 re) #s(literal 1/2 binary64)) |
(cos re) |
(cos.f64 re) |
(* -2 im) |
(*.f64 #s(literal -2 binary64) im) |
(* im (- (* -1/3 (pow im 2)) 2)) |
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im) |
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) 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 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im) |
(* -1 im) |
(neg.f64 im) |
(* -1 (* im (cos re))) |
(*.f64 (neg.f64 (cos.f64 re)) im) |
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) |
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re))))))) |
(*.f64 (cos.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 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re))))))))) |
(*.f64 (*.f64 (cos.f64 re) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #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) |
(+ 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)) |
(exp im) |
(exp.f64 im) |
(- (exp (* -1 im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 30 |
| 0 | 18 | 27 |
| 1 | 64 | 27 |
| 2 | 420 | 25 |
| 0 | 5001 | 25 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
(-.f64 #s(literal 0 binary64) im) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
(cos.f64 re) |
(exp.f64 im) |
| Outputs |
|---|
(*.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 #s(literal 2 binary64) im)) (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 #s(literal 2 binary64) (neg.f64 im))) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) |
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(*.f64 (/.f64 (*.f64 im im) (*.f64 (neg.f64 im) im)) im) |
(*.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (neg.f64 (pow.f64 im #s(literal 4 binary64)))) (*.f64 im im)) |
(*.f64 (/.f64 (*.f64 (neg.f64 im) im) (*.f64 (neg.f64 im) im)) (neg.f64 im)) |
(/.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (fabs.f64 im)) (fabs.f64 im)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 im im) (pow.f64 im #s(literal 3 binary64)))) (pow.f64 im #s(literal 4 binary64))) |
(/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (*.f64 im im)) |
(/.f64 (neg.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 3 binary64))) |
(/.f64 (neg.f64 (pow.f64 im #s(literal 6 binary64))) (*.f64 (pow.f64 im #s(literal 4 binary64)) im)) |
(/.f64 (neg.f64 (pow.f64 im #s(literal 6 binary64))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 im im))) |
(/.f64 (neg.f64 (pow.f64 im #s(literal 9 binary64))) (*.f64 (pow.f64 im #s(literal 6 binary64)) (*.f64 im im))) |
(/.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (neg.f64 im) im)) |
(/.f64 (*.f64 (neg.f64 im) im) im) |
(/.f64 (*.f64 im im) (neg.f64 im)) |
(neg.f64 im) |
(fma.f64 (/.f64 (*.f64 im im) (*.f64 im im)) (neg.f64 im) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (*.f64 im im) (pow.f64 (neg.f64 im) #s(literal 3 binary64))) (*.f64 im im) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (neg.f64 (pow.f64 im #s(literal 6 binary64)))) (pow.f64 im #s(literal 4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (*.f64 (neg.f64 im) im) (pow.f64 im #s(literal 3 binary64))) (*.f64 im im) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (neg.f64 (pow.f64 im #s(literal 4 binary64)))) (*.f64 (neg.f64 im) im) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 im im) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) (pow.f64 im #s(literal 4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (*.f64 im im) (pow.f64 im #s(literal 3 binary64))) (*.f64 (neg.f64 im) im) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (*.f64 im im) (*.f64 (neg.f64 im) im)) im #s(literal 0 binary64)) |
(fma.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (neg.f64 (pow.f64 im #s(literal 4 binary64)))) (*.f64 im im) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (*.f64 (neg.f64 im) im) (*.f64 (neg.f64 im) im)) (neg.f64 im) #s(literal 0 binary64)) |
(-.f64 (log.f64 (+.f64 (neg.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (log.f64 (fma.f64 (sinh.f64 (neg.f64 im)) (-.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 im)))) |
(-.f64 (neg.f64 im) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) im) |
(+.f64 (neg.f64 im) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (neg.f64 im)) |
(log.f64 (exp.f64 (neg.f64 im))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (cos.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 #s(literal 2 binary64) im)) (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 (cos.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 #s(literal 2 binary64) (sinh.f64 (neg.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 (cos.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 #s(literal 2 binary64) (neg.f64 im))) (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 (cos.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 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (cos.f64 re)) |
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #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 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) |
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (*.f64 (cos.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 (cos.f64 re) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(/.f64 (*.f64 (*.f64 (cos.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 (cos.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 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -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 (cos.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 (cos.f64 re) #s(literal 1/2 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (cos.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 (cos.f64 re) #s(literal 1/2 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (*.f64 #s(literal 1 binary64) (cos.f64 re)))) |
(fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))))) |
(fma.f64 (cosh.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (-.f64 (sinh.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cosh.f64 im) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (sinh.f64 (neg.f64 im)) (exp.f64 im)))) |
(+.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))))) |
(+.f64 (*.f64 (cosh.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (-.f64 (sinh.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (*.f64 (sin.f64 re) #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (*.f64 #s(literal 1 binary64) (cos.f64 re)))) |
(+.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cosh.f64 im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (sinh.f64 (neg.f64 im)) (exp.f64 im)))) |
(*.f64 (cos.f64 re) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
(fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 re)))) |
(+.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) #s(literal 0 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 re)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 #s(literal 1 binary64) (cos.f64 re)))) (-.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 re)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 #s(literal 1 binary64) (cos.f64 re))) (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 re)))))) |
(fma.f64 (sin.f64 (neg.f64 re)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 re))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (*.f64 (sin.f64 re) #s(literal 0 binary64))) |
(fma.f64 (sin.f64 re) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 re))) |
(fma.f64 (cos.f64 re) #s(literal 1 binary64) (*.f64 (sin.f64 re) #s(literal 0 binary64))) |
(fma.f64 #s(literal 0 binary64) (sin.f64 re) (*.f64 #s(literal 1 binary64) (cos.f64 re))) |
(sin.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) re)) |
(-.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 re)) #s(literal 1 binary64))) |
(cos.f64 (neg.f64 re)) |
(cos.f64 re) |
(+.f64 (*.f64 (sin.f64 (neg.f64 re)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 re))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 (sin.f64 re) #s(literal 0 binary64))) |
(+.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 re))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 (neg.f64 im)) (-.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 im))) |
(*.f64 #s(literal 1 binary64) (exp.f64 im)) |
(*.f64 (exp.f64 im) #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))) (-.f64 (sinh.f64 im) (cosh.f64 im))) |
(/.f64 (-.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (*.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 im) (-.f64 (sinh.f64 im) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 im) (-.f64 (sinh.f64 im) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64))) (fma.f64 (sinh.f64 im) (sinh.f64 im) (-.f64 (pow.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (sinh.f64 im) (cosh.f64 im))))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64))) (fma.f64 (sinh.f64 im) (-.f64 (sinh.f64 im) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 im))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))) |
(fma.f64 #s(literal 1 binary64) (sinh.f64 im) (*.f64 #s(literal 1 binary64) (cosh.f64 im))) |
(fma.f64 #s(literal 1 binary64) (cosh.f64 im) (*.f64 #s(literal 1 binary64) (sinh.f64 im))) |
(fma.f64 (sinh.f64 im) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (cosh.f64 im))) |
(fma.f64 (cosh.f64 im) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (sinh.f64 im))) |
(-.f64 (+.f64 (sinh.f64 im) (*.f64 #s(literal 1 binary64) (cosh.f64 im))) #s(literal 0 binary64)) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 im) #s(literal 2 binary64)) (exp.f64 (neg.f64 im))) (/.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (exp.f64 (neg.f64 im)))) |
(-.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (+.f64 #s(literal 0 binary64) (sinh.f64 (neg.f64 im)))) |
(-.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (-.f64 #s(literal 0 binary64) (sinh.f64 im))) |
(-.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im))) |
(exp.f64 im) |
(+.f64 (-.f64 (cosh.f64 im) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (sinh.f64 im))) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (fma.f64 (sinh.f64 im) (-.f64 (sinh.f64 im) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (fma.f64 (sinh.f64 im) (-.f64 (sinh.f64 im) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (*.f64 #s(literal 1 binary64) (sinh.f64 im))) |
(+.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 im)) (*.f64 #s(literal 1 binary64) (cosh.f64 im))) |
(+.f64 (sinh.f64 im) (cosh.f64 im)) |
(+.f64 (cosh.f64 im) (sinh.f64 im)) |
Compiled 5 110 to 871 computations (83% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 197 | 8 | 205 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 198 | 8 | 206 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64)) |
| 57.7% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) | |
| ▶ | 46.7% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))) |
| 92.7% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) | |
| ▶ | 87.6% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
| 79.8% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) | |
| ▶ | 41.9% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) |
| ▶ | 48.1% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) |
Compiled 356 to 272 computations (23.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 re) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) | |
| cost-diff | 4 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))) | |
| cost-diff | 24 | (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) | |
| cost-diff | 0 | (exp.f64 (neg.f64 im)) | |
| cost-diff | 0 | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) | |
| cost-diff | 1 | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) | |
| cost-diff | 4 | (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) | |
| cost-diff | 0 | (cos.f64 re) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) | |
| cost-diff | 0 | (cos.f64 re) | |
| cost-diff | 0 | (neg.f64 (cos.f64 re)) | |
| cost-diff | 0 | (*.f64 (neg.f64 (cos.f64 re)) im) | |
| cost-diff | 0 | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) | |
| cost-diff | 0 | (cos.f64 re) | |
| cost-diff | 0 | (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) | |
| cost-diff | 4 | (*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 358 |
| 0 | 75 | 300 |
| 1 | 151 | 296 |
| 2 | 392 | 292 |
| 3 | 1552 | 275 |
| 0 | 8637 | 275 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64)) |
(*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) |
(cos.f64 re) |
re |
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) |
#s(literal 2 binary64) |
(sinh.f64 (neg.f64 im)) |
(neg.f64 im) |
im |
#s(literal 1/2 binary64) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) |
(*.f64 (neg.f64 (cos.f64 re)) im) |
(neg.f64 (cos.f64 re)) |
(cos.f64 re) |
re |
im |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
#s(literal 1/2 binary64) |
(cos.f64 re) |
re |
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) |
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) |
(-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1/60 binary64) (*.f64 im im)) |
#s(literal -1/60 binary64) |
(*.f64 im im) |
im |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #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) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
#s(literal 1/2 binary64) |
(cos.f64 re) |
re |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) |
(*.f64 #s(literal 2 binary64) (cosh.f64 im)) |
#s(literal 2 binary64) |
(cosh.f64 im) |
im |
(exp.f64 im) |
(pow.f64 (exp.f64 im) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) |
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) |
(sinh.f64 (neg.f64 im)) |
(neg.f64 im) |
| Outputs |
|---|
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64)) |
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) |
(*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (sinh.f64 (neg.f64 im))) |
(cos.f64 re) |
re |
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) |
(*.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sinh.f64 (neg.f64 im)) |
(neg.f64 im) |
im |
#s(literal 1/2 binary64) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 im) (cos.f64 re))) |
(*.f64 (neg.f64 (cos.f64 re)) im) |
(*.f64 (neg.f64 im) (cos.f64 re)) |
(neg.f64 (cos.f64 re)) |
(cos.f64 re) |
re |
im |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
#s(literal 1/2 binary64) |
(cos.f64 re) |
re |
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) |
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 1/3 binary64)) im) im) |
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) |
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 1/3 binary64)) im) |
(-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) |
(-.f64 (*.f64 (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1/60 binary64) (*.f64 im im)) |
(*.f64 (*.f64 im im) #s(literal -1/60 binary64)) |
#s(literal -1/60 binary64) |
(*.f64 im im) |
im |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(sinh.f64 (neg.f64 im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(*.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64)) |
(exp.f64 (neg.f64 im)) |
(neg.f64 im) |
im |
(exp.f64 im) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))) |
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
#s(literal 1/2 binary64) |
(cos.f64 re) |
re |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(*.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) |
(fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) |
(*.f64 #s(literal 2 binary64) (cosh.f64 im)) |
(*.f64 (cosh.f64 im) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(cosh.f64 im) |
im |
(exp.f64 im) |
(pow.f64 (exp.f64 im) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) |
(/.f64 (*.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) |
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) |
(*.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64)) |
(sinh.f64 (neg.f64 im)) |
(neg.f64 im) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.026386279305326048 | (pow.f64 (exp.f64 im) #s(literal -2 binary64)) | |
| accuracy | 0.05078125 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))) | |
| accuracy | 0.9882757458832558 | (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) | |
| accuracy | 1.0703042433208232 | (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) | |
| accuracy | 0.0 | (exp.f64 (neg.f64 im)) | |
| accuracy | 0.0 | (exp.f64 im) | |
| accuracy | 13.69643106216088 | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) | |
| accuracy | 27.085559786106163 | (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) | |
| accuracy | 0.05859375 | (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) | |
| accuracy | 0.08203125 | (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) | |
| accuracy | 0.16015625 | (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) | |
| accuracy | 1.6055920253938556 | #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) | |
| accuracy | 0.0 | (neg.f64 (cos.f64 re)) | |
| accuracy | 0.0 | (cos.f64 re) | |
| accuracy | 0.05078125 | (*.f64 (neg.f64 (cos.f64 re)) im) | |
| accuracy | 1.9220164214548472 | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) | |
| accuracy | 0.0 | (neg.f64 im) | |
| accuracy | 0.0 | (cos.f64 re) | |
| accuracy | 0.0078125 | (sinh.f64 (neg.f64 im)) | |
| accuracy | 0.05078125 | (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) |
| 60.0ms | 73× | 1 | valid |
| 56.0ms | 132× | 0 | exit |
| 55.0ms | 42× | 2 | valid |
| 5.0ms | 9× | 0 | valid |
Compiled 319 to 42 computations (86.8% saved)
ival-mult: 36.0ms (25.8% of total)ival-exp: 31.0ms (22.2% of total)ival-sub: 18.0ms (12.9% of total)adjust: 17.0ms (12.2% of total)const: 11.0ms (7.9% of total)ival-pow: 7.0ms (5% of total)ival-cos: 6.0ms (4.3% of total)ival-cosh: 4.0ms (2.9% of total)ival-div: 3.0ms (2.2% of total)ival-add: 2.0ms (1.4% of total)ival-neg: 2.0ms (1.4% of total)ival-sinh: 2.0ms (1.4% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64)) |
(*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) |
(cos.f64 re) |
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) |
(*.f64 (neg.f64 (cos.f64 re)) im) |
(neg.f64 (cos.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) |
(exp.f64 (neg.f64 im)) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))) |
(sinh.f64 (neg.f64 im)) |
(neg.f64 im) |
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) |
(*.f64 #s(literal -1/60 binary64) (*.f64 im im)) |
(exp.f64 im) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) |
(pow.f64 (exp.f64 im) #s(literal -2 binary64)) |
| Outputs |
|---|
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))) |
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) |
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) |
(- (exp (neg im)) (/ 1 (exp (neg im)))) |
(- (+ (exp (neg im)) (* -1/2 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))) (/ 1 (exp (neg im)))) |
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/24 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) (/ 1 (exp (neg im)))) |
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/24 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) (/ 1 (exp (neg im)))) |
1 |
(+ 1 (* -1/2 (pow re 2))) |
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) |
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) |
(* 1/2 (- (exp (neg im)) (exp im))) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im))))))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im)))))))) |
(* -1 im) |
(+ (* -1 im) (* 1/2 (* im (pow re 2)))) |
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im)))) |
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2)))))))) |
-1 |
(- (* 1/2 (pow re 2)) 1) |
(- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1) |
(- (* (pow re 2) (+ 1/2 (* (pow re 2) (- (* 1/720 (pow re 2)) 1/24)))) 1) |
1/2 |
(+ 1/2 (* -1/4 (pow re 2))) |
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) |
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im)))))) |
(* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))) |
(cos re) |
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) |
(* -1 (* im (cos re))) |
(* -1 (cos re)) |
(* 1/2 (cos re)) |
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re))))))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re))))))))) |
(* -2 (* im (cos re))) |
(* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re))))) |
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re))))))) |
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (pow im 2) (cos 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)) |
(* im (- (* -1/6 (pow im 2)) 1)) |
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1)) |
(+ 1 (* -1 im)) |
(+ 1 (* im (- (* 1/2 im) 1))) |
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) |
(* -1/3 im) |
(* im (- (* -1/60 (pow im 2)) 1/3)) |
(* -1/3 (pow im 2)) |
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) |
(* -1/60 (pow im 2)) |
(+ 1 im) |
(+ 1 (* im (+ 1 (* 1/2 im)))) |
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) |
(* -2/3 im) |
(* im (- (* 7/9 (pow im 2)) 2/3)) |
(* im (- (* (pow im 2) (+ 7/9 (* -403/540 (pow im 2)))) 2/3)) |
(* im (- (* (pow im 2) (+ 7/9 (* (pow im 2) (- (* 5207/7560 (pow im 2)) 403/540)))) 2/3)) |
(+ 1 (* -2 im)) |
(+ 1 (* im (- (* 2 im) 2))) |
(+ 1 (* im (- (* im (+ 2 (* -4/3 im))) 2))) |
(- (exp (neg im)) (exp im)) |
(exp (neg im)) |
(* -1/60 (pow im 3)) |
(* -1 (* (pow im 3) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(* -1/60 (pow im 4)) |
(* -1 (* (pow im 4) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(exp im) |
(/ (- (exp (neg im)) (/ 1 (exp (neg im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))) |
(/ 1 (pow (exp im) 2)) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) |
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) |
(- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) |
(- (exp (* -1 im)) (exp im)) |
(* 1/2 (- (exp (* -1 im)) (exp im))) |
(exp (* -1 im)) |
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) |
(/ (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | im | @ | inf | ((* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg im))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (exp (neg im)) (exp im)) 1/2) (- (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (exp (neg im)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (sinh (neg im)) (neg im) (* (- (* -1/60 (* im im)) 1/3) im) (* (* (- (* -1/60 (* im im)) 1/3) im) im) (* -1/60 (* im im)) (exp im) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (pow (exp im) -2)) |
| 7.0ms | im | @ | -inf | ((* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg im))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (exp (neg im)) (exp im)) 1/2) (- (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (exp (neg im)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (sinh (neg im)) (neg im) (* (- (* -1/60 (* im im)) 1/3) im) (* (* (- (* -1/60 (* im im)) 1/3) im) im) (* -1/60 (* im im)) (exp im) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (pow (exp im) -2)) |
| 4.0ms | im | @ | 0 | ((* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg im))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (exp (neg im)) (exp im)) 1/2) (- (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (exp (neg im)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (sinh (neg im)) (neg im) (* (- (* -1/60 (* im im)) 1/3) im) (* (* (- (* -1/60 (* im im)) 1/3) im) im) (* -1/60 (* im im)) (exp im) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (pow (exp im) -2)) |
| 3.0ms | re | @ | 0 | ((* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg im))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (exp (neg im)) (exp im)) 1/2) (- (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (exp (neg im)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (sinh (neg im)) (neg im) (* (- (* -1/60 (* im im)) 1/3) im) (* (* (- (* -1/60 (* im im)) 1/3) im) im) (* -1/60 (* im im)) (exp im) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (pow (exp im) -2)) |
| 2.0ms | re | @ | inf | ((* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg im))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (exp (neg im)) (exp im)) 1/2) (- (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (exp (neg im)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (sinh (neg im)) (neg im) (* (- (* -1/60 (* im im)) 1/3) im) (* (* (- (* -1/60 (* im im)) 1/3) im) im) (* -1/60 (* im im)) (exp im) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (pow (exp im) -2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 299 | 1187 |
| 1 | 939 | 1012 |
| 2 | 3446 | 976 |
| 3 | 7902 | 976 |
| 0 | 8001 | 918 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))) |
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) |
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) |
(- (exp (neg im)) (/ 1 (exp (neg im)))) |
(- (+ (exp (neg im)) (* -1/2 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))) (/ 1 (exp (neg im)))) |
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/24 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) (/ 1 (exp (neg im)))) |
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/24 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) (/ 1 (exp (neg im)))) |
1 |
(+ 1 (* -1/2 (pow re 2))) |
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) |
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) |
(* 1/2 (- (exp (neg im)) (exp im))) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im))))))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im)))))))) |
(* -1 im) |
(+ (* -1 im) (* 1/2 (* im (pow re 2)))) |
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im)))) |
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2)))))))) |
-1 |
(- (* 1/2 (pow re 2)) 1) |
(- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1) |
(- (* (pow re 2) (+ 1/2 (* (pow re 2) (- (* 1/720 (pow re 2)) 1/24)))) 1) |
1/2 |
(+ 1/2 (* -1/4 (pow re 2))) |
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) |
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im)))))) |
(* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))) |
(cos re) |
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) |
(* -1 (* im (cos re))) |
(* -1 (cos re)) |
(* 1/2 (cos re)) |
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re))))))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re))))))))) |
(* -2 (* im (cos re))) |
(* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re))))) |
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re))))))) |
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (pow im 2) (cos 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)) |
(* im (- (* -1/6 (pow im 2)) 1)) |
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1)) |
(+ 1 (* -1 im)) |
(+ 1 (* im (- (* 1/2 im) 1))) |
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) |
(* -1/3 im) |
(* im (- (* -1/60 (pow im 2)) 1/3)) |
(* -1/3 (pow im 2)) |
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) |
(* -1/60 (pow im 2)) |
(+ 1 im) |
(+ 1 (* im (+ 1 (* 1/2 im)))) |
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) |
(* -2/3 im) |
(* im (- (* 7/9 (pow im 2)) 2/3)) |
(* im (- (* (pow im 2) (+ 7/9 (* -403/540 (pow im 2)))) 2/3)) |
(* im (- (* (pow im 2) (+ 7/9 (* (pow im 2) (- (* 5207/7560 (pow im 2)) 403/540)))) 2/3)) |
(+ 1 (* -2 im)) |
(+ 1 (* im (- (* 2 im) 2))) |
(+ 1 (* im (- (* im (+ 2 (* -4/3 im))) 2))) |
(- (exp (neg im)) (exp im)) |
(exp (neg im)) |
(* -1/60 (pow im 3)) |
(* -1 (* (pow im 3) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(* -1/60 (pow im 4)) |
(* -1 (* (pow im 4) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(exp im) |
(/ (- (exp (neg im)) (/ 1 (exp (neg im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))) |
(/ 1 (pow (exp im) 2)) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) |
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) |
(- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) |
(- (exp (* -1 im)) (exp im)) |
(* 1/2 (- (exp (* -1 im)) (exp im))) |
(exp (* -1 im)) |
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) |
(/ (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))) |
| Outputs |
|---|
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) |
(fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
(- (exp (neg im)) (/ 1 (exp (neg im)))) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (+ (exp (neg im)) (* -1/2 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))) (/ 1 (exp (neg im)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/24 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) (/ 1 (exp (neg im)))) |
(fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64))) (*.f64 re re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/24 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) (/ 1 (exp (neg im)))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow re 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) |
(fma.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64))) (*.f64 re re) #s(literal 1 binary64)) |
(* 1/2 (- (exp (neg im)) (exp im))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im))))))) |
(fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im)))))))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
(* -1 im) |
(neg.f64 im) |
(+ (* -1 im) (* 1/2 (* im (pow re 2)))) |
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))) |
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im)))) |
(fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im)) |
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2)))))))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 im (fma.f64 (*.f64 #s(literal 1/720 binary64) re) re #s(literal -1/24 binary64))) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 (pow re 2)) 1) |
(-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/24 binary64) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(- (* (pow re 2) (+ 1/2 (* (pow re 2) (- (* 1/720 (pow re 2)) 1/24)))) 1) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 re re)) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 (pow re 2))) |
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) |
(fma.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/1440 binary64) (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64))) (*.f64 re re) #s(literal 1/2 binary64)) |
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im)))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) |
(* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)) |
(cos re) |
(cos.f64 re) |
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) |
(* -1 (* im (cos re))) |
(*.f64 (neg.f64 (cos.f64 re)) im) |
(* -1 (cos re)) |
(neg.f64 (cos.f64 re)) |
(* 1/2 (cos re)) |
(*.f64 (cos.f64 re) #s(literal 1/2 binary64)) |
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) |
(*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re))))))) |
(*.f64 (fma.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))) (*.f64 im im) (neg.f64 (cos.f64 re))) im) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re))))))))) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64))) (*.f64 (cos.f64 re) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im) |
(* -2 (* im (cos re))) |
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) im) |
(* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re))))) |
(*.f64 (*.f64 (cos.f64 re) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64))) im) |
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re))))))) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) im)) |
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (pow im 2) (cos re))))))))) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (cos.f64 re) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)))) im) |
(* -2 im) |
(*.f64 #s(literal -2 binary64) im) |
(* im (- (* -1/3 (pow im 2)) 2)) |
(*.f64 (-.f64 (*.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 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) 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 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im) |
(* im (- (* -1/6 (pow im 2)) 1)) |
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) |
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im) |
(+ 1 (* -1 im)) |
(-.f64 #s(literal 1 binary64) im) |
(+ 1 (* im (- (* 1/2 im) 1))) |
(fma.f64 (-.f64 (*.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 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) im) #s(literal 1 binary64)) im #s(literal 1 binary64)) |
(* -1/3 im) |
(*.f64 #s(literal -1/3 binary64) im) |
(* im (- (* -1/60 (pow im 2)) 1/3)) |
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) |
(* -1/3 (pow im 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 im im)) |
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) |
(* -1/60 (pow im 2)) |
(*.f64 #s(literal -1/60 binary64) (*.f64 im im)) |
(+ 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)) |
(* -2/3 im) |
(*.f64 #s(literal -2/3 binary64) im) |
(* im (- (* 7/9 (pow im 2)) 2/3)) |
(*.f64 (-.f64 (*.f64 #s(literal 7/9 binary64) (*.f64 im im)) #s(literal 2/3 binary64)) im) |
(* im (- (* (pow im 2) (+ 7/9 (* -403/540 (pow im 2)))) 2/3)) |
(*.f64 (fma.f64 (*.f64 #s(literal 7/9 binary64) im) im (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -403/540 binary64)) #s(literal 2/3 binary64))) im) |
(* im (- (* (pow im 2) (+ 7/9 (* (pow im 2) (- (* 5207/7560 (pow im 2)) 403/540)))) 2/3)) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 5207/7560 binary64) (*.f64 im im)) #s(literal 403/540 binary64)) (-.f64 (*.f64 #s(literal 7/9 binary64) (*.f64 im im)) #s(literal 2/3 binary64))) im) |
(+ 1 (* -2 im)) |
(fma.f64 #s(literal -2 binary64) im #s(literal 1 binary64)) |
(+ 1 (* im (- (* 2 im) 2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 2 binary64)) im #s(literal 1 binary64)) |
(+ 1 (* im (- (* im (+ 2 (* -4/3 im))) 2))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) im #s(literal 2 binary64)) im) #s(literal 2 binary64)) im #s(literal 1 binary64)) |
(- (exp (neg im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(exp (neg im)) |
(exp.f64 (neg.f64 im)) |
(* -1/60 (pow im 3)) |
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/60 binary64)) |
(* -1 (* (pow im 3) (+ 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 3 binary64))) |
(* -1/60 (pow im 4)) |
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/60 binary64)) |
(* -1 (* (pow im 4) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64))) |
(exp im) |
(exp.f64 im) |
(/ (- (exp (neg im)) (/ 1 (exp (neg im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))) |
(/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (exp.f64 (*.f64 #s(literal -2 binary64) im)))) |
(/ 1 (pow (exp im) 2)) |
(exp.f64 (*.f64 #s(literal -2 binary64) im)) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) |
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)) |
(- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) |
(- (exp (* -1 im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(* 1/2 (- (exp (* -1 im)) (exp im))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(exp (* -1 im)) |
(exp.f64 (neg.f64 im)) |
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(/ (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))) |
(/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (exp.f64 (*.f64 #s(literal -2 binary64) im)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 260 |
| 0 | 75 | 202 |
| 1 | 243 | 177 |
| 2 | 1508 | 177 |
| 0 | 8571 | 177 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64)) |
(*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) |
(cos.f64 re) |
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) |
(*.f64 (neg.f64 (cos.f64 re)) im) |
(neg.f64 (cos.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) |
(exp.f64 (neg.f64 im)) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))) |
(sinh.f64 (neg.f64 im)) |
(neg.f64 im) |
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) |
(*.f64 #s(literal -1/60 binary64) (*.f64 im im)) |
(exp.f64 im) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) |
(pow.f64 (exp.f64 im) #s(literal -2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (cosh.f64 im)) (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64))) |
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(sinh.f64 (neg.f64 im)) |
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(fma.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 (/.f64 (fma.f64 #s(literal -1 binary64) im im) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 im) im) #s(literal 2 binary64))))) (cosh.f64 im)) |
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(fma.f64 (cosh.f64 im) #s(literal 1 binary64) (sinh.f64 (neg.f64 im))) |
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (cosh.f64 im)) |
(fma.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) #s(literal 1/2 binary64) (cosh.f64 im)) |
(fma.f64 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64) (cosh.f64 im)) |
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(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (sinh.f64 (neg.f64 im))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 im) #s(literal -2 binary64)) (cosh.f64 im)) |
(sqrt.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64))) |
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(-.f64 (/.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (fma.f64 (cosh.f64 im) (cosh.f64 im) (fma.f64 (sinh.f64 im) (sinh.f64 im) (*.f64 (cosh.f64 im) (sinh.f64 im))))) (/.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (fma.f64 (cosh.f64 im) (cosh.f64 im) (fma.f64 (sinh.f64 im) (sinh.f64 im) (*.f64 (cosh.f64 im) (sinh.f64 im)))))) |
(-.f64 (cosh.f64 im) (*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))))) |
(-.f64 (cosh.f64 im) (*.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(-.f64 (cosh.f64 im) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (neg.f64 im)) #s(literal 1/2 binary64)))) |
(-.f64 (cosh.f64 im) (*.f64 #s(literal -2 binary64) (/.f64 (sinh.f64 im) #s(literal -2 binary64)))) |
(-.f64 (cosh.f64 im) (*.f64 (sinh.f64 im) #s(literal 1 binary64))) |
(-.f64 (cosh.f64 im) (sinh.f64 im)) |
(-.f64 (sinh.f64 (neg.f64 im)) (*.f64 (neg.f64 (cosh.f64 im)) #s(literal 1 binary64))) |
(-.f64 (sinh.f64 (neg.f64 im)) (*.f64 #s(literal -2 binary64) (/.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
(fabs.f64 (-.f64 (sinh.f64 im) (cosh.f64 im))) |
(fabs.f64 (neg.f64 (exp.f64 (neg.f64 im)))) |
(fabs.f64 (exp.f64 (neg.f64 im))) |
(exp.f64 (neg.f64 im)) |
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(+.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im))) |
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(-.f64 (/.f64 (sinh.f64 (neg.f64 im)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (*.f64 (neg.f64 (/.f64 (sinh.f64 (neg.f64 im)) (+.f64 (pow.f64 (exp.f64 im) #s(literal -6 binary64)) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64))))) (fma.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (*.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (*.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(+.f64 (/.f64 (*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(+.f64 (/.f64 (*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(+.f64 (/.f64 (cosh.f64 im) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (-.f64 (sinh.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(+.f64 (/.f64 (sinh.f64 (neg.f64 im)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (sinh.f64 (neg.f64 im)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(*.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 (exp.f64 (neg.f64 im)))) (neg.f64 (neg.f64 (exp.f64 (neg.f64 im))))) |
(*.f64 (pow.f64 (neg.f64 (exp.f64 im)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (exp.f64 im)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (exp.f64 (neg.f64 im))) (neg.f64 (exp.f64 (neg.f64 im)))) |
(*.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) im) |
(pow.f64 (neg.f64 (exp.f64 (neg.f64 im))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 im) #s(literal -2 binary64)) |
(pow.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (cosh.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (*.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) (*.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))))) (-.f64 (*.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (*.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im))) (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im))) (*.f64 (exp.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im))))) (-.f64 (*.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (*.f64 (exp.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im))))) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) im)) (cosh.f64 (*.f64 #s(literal -2 binary64) im))) (*.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) im)) (sinh.f64 (*.f64 #s(literal -2 binary64) im)))) (-.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) im)) (sinh.f64 (*.f64 #s(literal -2 binary64) im)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (-.f64 (*.f64 (*.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) (*.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im)))) (*.f64 (*.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im))) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (*.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (-.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im))) (*.f64 (exp.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im)))) (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (*.f64 (exp.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im))))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) im)) (cosh.f64 (*.f64 #s(literal -2 binary64) im)) (-.f64 (*.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) im)) (sinh.f64 (*.f64 #s(literal -2 binary64) im))) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) im)) (sinh.f64 (*.f64 #s(literal -2 binary64) im)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (neg.f64 (exp.f64 im))) |
(/.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64))) (neg.f64 (exp.f64 im))) |
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (exp.f64 im)) |
(/.f64 (fabs.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64))) (exp.f64 im)) |
(/.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))) (exp.f64 im)) |
(/.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64)) (exp.f64 im)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) |
(fma.f64 (cosh.f64 im) (exp.f64 (neg.f64 im)) (*.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im)))) |
(fma.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im) (*.f64 (exp.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im)))) |
(sqrt.f64 (pow.f64 (exp.f64 im) #s(literal -4 binary64))) |
(-.f64 (*.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (sinh.f64 im) (exp.f64 (neg.f64 im)))) |
(-.f64 (*.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (*.f64 (neg.f64 (exp.f64 (neg.f64 im))) (sinh.f64 (neg.f64 im)))) |
(fabs.f64 (neg.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) |
(fabs.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64))) |
(exp.f64 (neg.f64 (*.f64 im #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (*.f64 im #s(literal 2 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (+.f64 im im) #s(literal -1 binary64))) |
(exp.f64 (*.f64 #s(literal -2 binary64) im)) |
(+.f64 (*.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im)))) |
(+.f64 (*.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (*.f64 (exp.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im)))) |
(+.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) im)) (sinh.f64 (*.f64 #s(literal -2 binary64) im))) |
Compiled 51 661 to 4 670 computations (91% saved)
22 alts after pruning (20 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 203 | 20 | 1 223 |
| Fresh | 3 | 0 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 209 | 22 | 1 231 |
| Status | Accuracy | Program |
|---|---|---|
| 46.3% | (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (neg.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) | |
| 46.6% | (*.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) | |
| 57.7% | (*.f64 (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 1/2 binary64)) | |
| 46.8% | (*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (*.f64 im im))))) #s(literal 1/2 binary64)) | |
| 81.5% | (*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (*.f64 im (neg.f64 im)) im)))) #s(literal 1/2 binary64)) | |
| ▶ | 92.7% | (*.f64 (*.f64 (cos.f64 re) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64)) |
| 79.8% | (*.f64 (*.f64 (cos.f64 re) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64)) | |
| 65.2% | (*.f64 (*.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64)) | |
| 45.8% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) #s(approx (pow (exp im) -2) (fma.f64 #s(literal -2 binary64) im #s(literal 1 binary64))))))) | |
| ✓ | 87.6% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
| ▶ | 99.9% | (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) |
| 79.8% | (*.f64 #s(approx (* (cos re) (* 2 (sinh (neg im)))) (*.f64 (*.f64 (cos.f64 re) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64))) im)) #s(literal 1/2 binary64)) | |
| 56.3% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) | |
| ▶ | 79.8% | #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
| ✓ | 48.1% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) |
| 64.5% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) | |
| 60.4% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im))) | |
| ▶ | 56.7% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
| 50.7% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))) | |
| 34.2% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) | |
| 34.9% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) | |
| ▶ | 27.3% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
Compiled 1 066 to 787 computations (26.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)) | |
| cost-diff | 0 | (cos.f64 re) | |
| cost-diff | 0 | (*.f64 (cos.f64 re) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) | |
| cost-diff | 0 | (*.f64 (*.f64 (cos.f64 re) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (cos.f64 re) | |
| cost-diff | 0 | (*.f64 (cos.f64 re) im) | |
| cost-diff | 0 | #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) | |
| cost-diff | 1 | (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) | |
| cost-diff | 0 | (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im) | |
| cost-diff | 0 | #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)) | |
| cost-diff | 0 | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) | |
| cost-diff | 0 | (neg.f64 im) | |
| cost-diff | 0 | #s(approx (* (neg (cos re)) im) (neg.f64 im)) | |
| cost-diff | 0 | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) | |
| cost-diff | 0 | (cos.f64 re) | |
| cost-diff | 0 | (neg.f64 im) | |
| cost-diff | 0 | (sinh.f64 (neg.f64 im)) | |
| cost-diff | 0 | (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 430 |
| 0 | 90 | 428 |
| 1 | 172 | 426 |
| 2 | 383 | 424 |
| 3 | 1103 | 402 |
| 4 | 4537 | 402 |
| 0 | 8104 | 402 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) |
(sinh.f64 (neg.f64 im)) |
(neg.f64 im) |
im |
(cos.f64 re) |
re |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (neg (cos re)) im) (neg.f64 im)) |
(neg.f64 im) |
im |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) |
(*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) |
(-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) |
(*.f64 #s(literal -1/120 binary64) (*.f64 im im)) |
#s(literal -1/120 binary64) |
(*.f64 im im) |
im |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
(*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) |
(*.f64 (cos.f64 re) im) |
(cos.f64 re) |
re |
im |
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) |
(*.f64 #s(literal -1/6 binary64) im) |
#s(literal -1/6 binary64) |
#s(literal -1 binary64) |
(*.f64 (*.f64 (cos.f64 re) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64)) |
(*.f64 (cos.f64 re) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
(cos.f64 re) |
re |
#s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im) |
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) |
(*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) |
(-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) |
#s(literal -1/2520 binary64) |
(*.f64 im im) |
im |
#s(literal 1/60 binary64) |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) |
(*.f64 (cos.f64 re) (sinh.f64 (neg.f64 im))) |
(sinh.f64 (neg.f64 im)) |
(neg.f64 im) |
im |
(cos.f64 re) |
re |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (neg (cos re)) im) (neg.f64 im)) |
(neg.f64 im) |
im |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)) |
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) |
(*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) |
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) |
(-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) |
(-.f64 (*.f64 (*.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) |
(*.f64 #s(literal -1/120 binary64) (*.f64 im im)) |
(*.f64 (*.f64 im im) #s(literal -1/120 binary64)) |
#s(literal -1/120 binary64) |
(*.f64 im im) |
im |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im) (neg.f64 (cos.f64 re)))) |
(*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im) (neg.f64 (cos.f64 re))) |
(*.f64 (cos.f64 re) im) |
(cos.f64 re) |
re |
im |
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) |
(*.f64 #s(literal -1/6 binary64) im) |
#s(literal -1/6 binary64) |
#s(literal -1 binary64) |
(*.f64 (*.f64 (cos.f64 re) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) |
(*.f64 (cos.f64 re) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
(*.f64 #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) (cos.f64 re)) |
(cos.f64 re) |
re |
#s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)) |
#s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im) |
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) |
(*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) |
(-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) |
#s(literal -1/2520 binary64) |
(*.f64 im im) |
im |
#s(literal 1/60 binary64) |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.08984375 | (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) | |
| accuracy | 0.125 | (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) | |
| accuracy | 0.16796875 | (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) | |
| accuracy | 4.610308212222416 | #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)) | |
| accuracy | 0.07421875 | (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) | |
| accuracy | 0.12890625 | (*.f64 (cos.f64 re) im) | |
| accuracy | 0.3359375 | (*.f64 #s(literal -1/6 binary64) im) | |
| accuracy | 12.891451126567981 | #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) | |
| accuracy | 0.12890625 | (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) | |
| accuracy | 0.19921875 | (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) | |
| accuracy | 7.912448012789119 | #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)) | |
| accuracy | 22.696331975961037 | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) | |
| accuracy | 0.0 | (neg.f64 im) | |
| accuracy | 28.357510508936095 | #s(approx (* (neg (cos re)) im) (neg.f64 im)) | |
| accuracy | 33.18203281217348 | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) | |
| accuracy | 0.0 | (neg.f64 im) | |
| accuracy | 0.0 | (cos.f64 re) | |
| accuracy | 0.0078125 | (sinh.f64 (neg.f64 im)) | |
| accuracy | 0.05078125 | (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) |
| 74.0ms | 141× | 0 | valid |
| 65.0ms | 73× | 1 | valid |
| 56.0ms | 42× | 2 | valid |
Compiled 303 to 53 computations (82.5% saved)
ival-exp: 47.0ms (28.9% of total)ival-mult: 40.0ms (24.6% of total)const: 27.0ms (16.6% of total)adjust: 24.0ms (14.7% of total)ival-sub: 14.0ms (8.6% of total)ival-cos: 6.0ms (3.7% of total)ival-neg: 3.0ms (1.8% of total)ival-sinh: 2.0ms (1.2% of total)ival-add: 1.0ms (0.6% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) |
(sinh.f64 (neg.f64 im)) |
(neg.f64 im) |
(cos.f64 re) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (neg (cos re)) im) (neg.f64 im)) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) |
(*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
(*.f64 (cos.f64 re) im) |
(*.f64 (*.f64 (cos.f64 re) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64)) |
(*.f64 (cos.f64 re) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
#s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)) |
(*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) |
(*.f64 #s(literal -1/120 binary64) (*.f64 im im)) |
(*.f64 #s(literal -1/6 binary64) im) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) |
| Outputs |
|---|
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))) |
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) |
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) |
1 |
(+ 1 (* -1/2 (pow re 2))) |
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) |
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) |
(* 1/2 (- (exp (neg im)) (exp im))) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im))))))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im)))))))) |
(* -1 im) |
(+ (* -1 im) (* 1/2 (* im (pow re 2)))) |
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im)))) |
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2)))))))) |
(* im (- (* -1/6 (pow im 2)) 1)) |
(+ (* -1/2 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* im (- (* -1/6 (pow im 2)) 1))) |
(+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/2 (* im (- (* -1/6 (pow im 2)) 1))) (* 1/24 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1))))))) |
(+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/2 (* im (- (* -1/6 (pow im 2)) 1))) (* (pow re 2) (+ (* -1/720 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* 1/24 (* im (- (* -1/6 (pow im 2)) 1)))))))) |
im |
(+ im (* -1/2 (* im (pow re 2)))) |
(+ im (* (pow re 2) (+ (* -1/2 im) (* 1/24 (* im (pow re 2)))))) |
(+ im (* (pow re 2) (+ (* -1/2 im) (* (pow re 2) (+ (* -1/720 (* im (pow re 2))) (* 1/24 im)))))) |
(- (exp (neg im)) (/ 1 (exp (neg im)))) |
(- (+ (exp (neg im)) (* -1/2 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))) (/ 1 (exp (neg im)))) |
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/24 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) (/ 1 (exp (neg im)))) |
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/24 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) (/ 1 (exp (neg im)))) |
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im)))))) |
(cos re) |
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) |
(* -1 (* im (cos re))) |
(* im (* (cos re) (- (* -1/6 (pow im 2)) 1))) |
(* im (cos re)) |
(* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))) |
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re))))))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re))))))))) |
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1)) |
-1 |
(- (* -1/6 (pow im 2)) 1) |
(- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1) |
(* -2 (* im (cos re))) |
(* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re))))) |
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re))))))) |
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (pow im 2) (cos 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)) |
(* -1/6 im) |
(* im (- (* -1/120 (pow im 2)) 1/6)) |
(* -1/120 (pow im 2)) |
(* -1/2520 (pow im 2)) |
(* -1/3 (pow im 2)) |
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) |
(* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) |
(* -1/60 (pow im 2)) |
(* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) |
(* -1/120 (pow im 5)) |
(* -1 (* (pow im 5) (+ 1/120 (* 1/6 (/ 1 (pow im 2)))))) |
(* (pow im 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120)) |
(* -1/120 (pow im 4)) |
(* -1 (* (pow im 4) (+ 1/120 (* 1/6 (/ 1 (pow im 2)))))) |
(* (pow im 4) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120)) |
(* -1/6 (* (pow im 3) (cos re))) |
(* (pow im 3) (+ (* -1 (/ (cos re) (pow im 2))) (* -1/6 (cos re)))) |
(* -1/120 (pow im 3)) |
(* -1 (* (pow im 3) (+ 1/120 (* 1/6 (/ 1 (pow im 2)))))) |
(* -1/6 (pow im 2)) |
(* -1 (* (pow im 2) (+ 1/6 (/ 1 (pow im 2))))) |
(* -1/2520 (pow im 6)) |
(* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(* -1/2520 (pow im 4)) |
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) |
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (- (exp (* -1 im)) (exp im))) |
(* -1 (* (pow im 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))) |
(* -1 (* (pow im 3) (+ (* 1/6 (cos re)) (/ (cos re) (pow im 2))))) |
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) |
(- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | re | @ | inf | ((* (sinh (neg im)) (cos re)) (sinh (neg im)) (neg im) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) im) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (* 2 (sinh (neg im))) (* (- (* -1/120 (* im im)) 1/6) im) (* -1/120 (* im im)) (* -1/6 im) (+ (* (* -1/6 im) im) -1) (* -1/2520 (* im im)) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* (* (- (* -1/2520 (* im im)) 1/60) im) im)) |
| 11.0ms | im | @ | inf | ((* (sinh (neg im)) (cos re)) (sinh (neg im)) (neg im) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) im) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (* 2 (sinh (neg im))) (* (- (* -1/120 (* im im)) 1/6) im) (* -1/120 (* im im)) (* -1/6 im) (+ (* (* -1/6 im) im) -1) (* -1/2520 (* im im)) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* (* (- (* -1/2520 (* im im)) 1/60) im) im)) |
| 10.0ms | im | @ | -inf | ((* (sinh (neg im)) (cos re)) (sinh (neg im)) (neg im) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) im) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (* 2 (sinh (neg im))) (* (- (* -1/120 (* im im)) 1/6) im) (* -1/120 (* im im)) (* -1/6 im) (+ (* (* -1/6 im) im) -1) (* -1/2520 (* im im)) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* (* (- (* -1/2520 (* im im)) 1/60) im) im)) |
| 3.0ms | im | @ | 0 | ((* (sinh (neg im)) (cos re)) (sinh (neg im)) (neg im) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) im) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (* 2 (sinh (neg im))) (* (- (* -1/120 (* im im)) 1/6) im) (* -1/120 (* im im)) (* -1/6 im) (+ (* (* -1/6 im) im) -1) (* -1/2520 (* im im)) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* (* (- (* -1/2520 (* im im)) 1/60) im) im)) |
| 2.0ms | re | @ | -inf | ((* (sinh (neg im)) (cos re)) (sinh (neg im)) (neg im) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) im) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (* 2 (sinh (neg im))) (* (- (* -1/120 (* im im)) 1/6) im) (* -1/120 (* im im)) (* -1/6 im) (+ (* (* -1/6 im) im) -1) (* -1/2520 (* im im)) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* (* (- (* -1/2520 (* im im)) 1/60) im) im)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 288 | 1317 |
| 1 | 968 | 1159 |
| 2 | 3994 | 1076 |
| 0 | 8202 | 1017 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))) |
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) |
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) |
1 |
(+ 1 (* -1/2 (pow re 2))) |
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) |
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) |
(* 1/2 (- (exp (neg im)) (exp im))) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im))))))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im)))))))) |
(* -1 im) |
(+ (* -1 im) (* 1/2 (* im (pow re 2)))) |
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im)))) |
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2)))))))) |
(* im (- (* -1/6 (pow im 2)) 1)) |
(+ (* -1/2 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* im (- (* -1/6 (pow im 2)) 1))) |
(+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/2 (* im (- (* -1/6 (pow im 2)) 1))) (* 1/24 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1))))))) |
(+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/2 (* im (- (* -1/6 (pow im 2)) 1))) (* (pow re 2) (+ (* -1/720 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* 1/24 (* im (- (* -1/6 (pow im 2)) 1)))))))) |
im |
(+ im (* -1/2 (* im (pow re 2)))) |
(+ im (* (pow re 2) (+ (* -1/2 im) (* 1/24 (* im (pow re 2)))))) |
(+ im (* (pow re 2) (+ (* -1/2 im) (* (pow re 2) (+ (* -1/720 (* im (pow re 2))) (* 1/24 im)))))) |
(- (exp (neg im)) (/ 1 (exp (neg im)))) |
(- (+ (exp (neg im)) (* -1/2 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))) (/ 1 (exp (neg im)))) |
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/24 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) (/ 1 (exp (neg im)))) |
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/24 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) (/ 1 (exp (neg im)))) |
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im)))))) |
(cos re) |
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) |
(* -1 (* im (cos re))) |
(* im (* (cos re) (- (* -1/6 (pow im 2)) 1))) |
(* im (cos re)) |
(* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))) |
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re))))))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re))))))))) |
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1)) |
-1 |
(- (* -1/6 (pow im 2)) 1) |
(- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1) |
(* -2 (* im (cos re))) |
(* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re))))) |
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re))))))) |
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (pow im 2) (cos 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)) |
(* -1/6 im) |
(* im (- (* -1/120 (pow im 2)) 1/6)) |
(* -1/120 (pow im 2)) |
(* -1/2520 (pow im 2)) |
(* -1/3 (pow im 2)) |
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) |
(* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) |
(* -1/60 (pow im 2)) |
(* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) |
(* -1/120 (pow im 5)) |
(* -1 (* (pow im 5) (+ 1/120 (* 1/6 (/ 1 (pow im 2)))))) |
(* (pow im 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120)) |
(* -1/120 (pow im 4)) |
(* -1 (* (pow im 4) (+ 1/120 (* 1/6 (/ 1 (pow im 2)))))) |
(* (pow im 4) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120)) |
(* -1/6 (* (pow im 3) (cos re))) |
(* (pow im 3) (+ (* -1 (/ (cos re) (pow im 2))) (* -1/6 (cos re)))) |
(* -1/120 (pow im 3)) |
(* -1 (* (pow im 3) (+ 1/120 (* 1/6 (/ 1 (pow im 2)))))) |
(* -1/6 (pow im 2)) |
(* -1 (* (pow im 2) (+ 1/6 (/ 1 (pow im 2))))) |
(* -1/2520 (pow im 6)) |
(* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(* -1/2520 (pow im 4)) |
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) |
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (- (exp (* -1 im)) (exp im))) |
(* -1 (* (pow im 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))) |
(* -1 (* (pow im 3) (+ (* 1/6 (cos re)) (/ (cos re) (pow im 2))))) |
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) |
(- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) |
| Outputs |
|---|
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) |
(fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow re 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(* 1/2 (- (exp (neg im)) (exp im))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im))))))) |
(fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im)))))))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
(* -1 im) |
(neg.f64 im) |
(+ (* -1 im) (* 1/2 (* im (pow re 2)))) |
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))) |
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im)))) |
(fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im)) |
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2)))))))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 im (fma.f64 (*.f64 #s(literal 1/720 binary64) re) re #s(literal -1/24 binary64))) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))) |
(* im (- (* -1/6 (pow im 2)) 1)) |
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im) |
(+ (* -1/2 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* im (- (* -1/6 (pow im 2)) 1))) |
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) im)) |
(+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/2 (* im (- (* -1/6 (pow im 2)) 1))) (* 1/24 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1))))))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im) (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64))) (*.f64 re re) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)) |
(+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/2 (* im (- (* -1/6 (pow im 2)) 1))) (* (pow re 2) (+ (* -1/720 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* 1/24 (* im (- (* -1/6 (pow im 2)) 1)))))))) |
(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 -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)))) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) im))) |
im |
(+ im (* -1/2 (* im (pow re 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) im) |
(+ im (* (pow re 2) (+ (* -1/2 im) (* 1/24 (* im (pow re 2)))))) |
(fma.f64 (*.f64 im (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64))) (*.f64 re re) im) |
(+ im (* (pow re 2) (+ (* -1/2 im) (* (pow re 2) (+ (* -1/720 (* im (pow re 2))) (* 1/24 im)))))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 im (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) im)) |
(- (exp (neg im)) (/ 1 (exp (neg im)))) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (+ (exp (neg im)) (* -1/2 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))) (/ 1 (exp (neg im)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/24 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) (/ 1 (exp (neg im)))) |
(fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64))) (*.f64 re re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/24 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) (/ 1 (exp (neg im)))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) |
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im)))))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(cos re) |
(cos.f64 re) |
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* -1 (* im (cos re))) |
(*.f64 (neg.f64 (cos.f64 re)) im) |
(* im (* (cos re) (- (* -1/6 (pow im 2)) 1))) |
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im))) |
(* im (cos re)) |
(*.f64 (cos.f64 re) im) |
(* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)) |
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) |
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re))))))) |
(*.f64 (fma.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))) (*.f64 im im) (neg.f64 (cos.f64 re))) im) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re))))))))) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64))) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (cos.f64 re))) im) |
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 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)) |
(- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) |
(* -2 (* im (cos re))) |
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) im) |
(* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re))))) |
(*.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im) |
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re))))))) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) im)) |
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (pow im 2) (cos re))))))))) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im) |
(* -2 im) |
(*.f64 #s(literal -2 binary64) im) |
(* im (- (* -1/3 (pow im 2)) 2)) |
(*.f64 (-.f64 (*.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 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) 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 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im) |
(* -1/6 im) |
(*.f64 #s(literal -1/6 binary64) im) |
(* im (- (* -1/120 (pow im 2)) 1/6)) |
(*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) |
(* -1/120 (pow im 2)) |
(*.f64 #s(literal -1/120 binary64) (*.f64 im im)) |
(* -1/2520 (pow im 2)) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) |
(* -1/3 (pow im 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 im im)) |
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) |
(* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im 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 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) |
(* -1/120 (pow im 5)) |
(*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64)) |
(* -1 (* (pow im 5) (+ 1/120 (* 1/6 (/ 1 (pow im 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 5 binary64))) |
(* (pow im 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120)) |
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 im im)) #s(literal -1/6 binary64)) im) im) #s(literal 1/120 binary64)) (pow.f64 im #s(literal 5 binary64))) |
(* -1/120 (pow im 4)) |
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64)) |
(* -1 (* (pow im 4) (+ 1/120 (* 1/6 (/ 1 (pow im 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64))) |
(* (pow im 4) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120)) |
(*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 im im)) #s(literal -1/6 binary64)) im) im) #s(literal 1/120 binary64))) |
(* -1/6 (* (pow im 3) (cos re))) |
(*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) (cos.f64 re)) |
(* (pow im 3) (+ (* -1 (/ (cos re) (pow im 2))) (* -1/6 (cos re)))) |
(*.f64 (*.f64 (cos.f64 re) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 im im)) #s(literal 1/6 binary64))) (pow.f64 im #s(literal 3 binary64))) |
(* -1/120 (pow im 3)) |
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/120 binary64)) |
(* -1 (* (pow im 3) (+ 1/120 (* 1/6 (/ 1 (pow im 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 3 binary64))) |
(* -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)) |
(*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/2520 binary64)) |
(* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal -1/2520 binary64)) (pow.f64 im #s(literal 6 binary64))) |
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal -1/60 binary64) (*.f64 im im))) #s(literal 1/2520 binary64)) (pow.f64 im #s(literal 6 binary64))) |
(* -1/2520 (pow im 4)) |
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/2520 binary64)) |
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal -1/2520 binary64)) (pow.f64 im #s(literal 4 binary64))) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (- (exp (* -1 im)) (exp im))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(* -1 (* (pow im 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(literal -1/120 binary64))) (pow.f64 im #s(literal 5 binary64))) |
(* -1 (* (pow im 3) (+ (* 1/6 (cos re)) (/ (cos re) (pow im 2))))) |
(*.f64 (*.f64 (cos.f64 re) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 im im)) #s(literal 1/6 binary64))) (pow.f64 im #s(literal 3 binary64))) |
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)) |
(- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 313 |
| 0 | 90 | 311 |
| 1 | 293 | 287 |
| 2 | 1702 | 287 |
| 0 | 8367 | 287 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) |
(sinh.f64 (neg.f64 im)) |
(neg.f64 im) |
(cos.f64 re) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (neg (cos re)) im) (neg.f64 im)) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) |
(*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
(*.f64 (cos.f64 re) im) |
(*.f64 (*.f64 (cos.f64 re) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64)) |
(*.f64 (cos.f64 re) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
#s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)) |
(*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) |
(*.f64 #s(literal -1/120 binary64) (*.f64 im im)) |
(*.f64 #s(literal -1/6 binary64) im) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 re))) (sinh.f64 (neg.f64 im))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (sinh.f64 (neg.f64 im))) #s(literal 1/2 binary64)) |
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) |
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(/.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal -1 binary64)))) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal -1 binary64)))) #s(literal -1 binary64))) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal -1 binary64)))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) im) im))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (neg.f64 im)) (neg.f64 im) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) |
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) im) #s(literal -1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) im) im))) (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) im) im)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal -1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) im)) im)) |
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 im) (*.f64 #s(literal -1/6 binary64) im))) |
(-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 im im))) |
(+.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal -1 binary64)))))) |
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal -1 binary64))))) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal -1 binary64)))))) |
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal -1 binary64))))) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal -1 binary64)))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal -1 binary64)))))) |
(+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) im) im)) |
(*.f64 (*.f64 #s(literal -1/2520 binary64) (neg.f64 im)) (neg.f64 im)) |
(*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) |
(*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) |
(*.f64 (neg.f64 im) (*.f64 (neg.f64 im) #s(literal -1/2520 binary64))) |
(*.f64 im (*.f64 #s(literal -1/2520 binary64) im)) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (neg.f64 im)) (neg.f64 im)) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) |
(*.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64))) |
(*.f64 (neg.f64 im) (*.f64 (neg.f64 im) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)))) |
(*.f64 im (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 im im))) (neg.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im #s(literal 1/3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (*.f64 im im))) (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.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 #s(literal 1/3 binary64) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/9 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 im im) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im #s(literal 1/3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 im im) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.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 #s(literal 1/3 binary64) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/9 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 im im)) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (*.f64 im im)) (fma.f64 (pow.f64 (-.f64 (*.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 #s(literal 1/3 binary64) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/9 binary64)))) |
(/.f64 (*.f64 (*.f64 im im) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (*.f64 im im) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 (pow.f64 (-.f64 (*.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 #s(literal 1/3 binary64) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/9 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (neg.f64 im)) (neg.f64 im)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) |
(*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im)) |
(*.f64 (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) |
(*.f64 im (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/3600 binary64)) (*.f64 im im))) (neg.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal 1/60 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/216000 binary64)) (*.f64 im im))) (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/151200 binary64) #s(literal 1/3600 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/3600 binary64)) (*.f64 im im)) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal 1/60 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/216000 binary64)) (*.f64 im im)) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/151200 binary64) #s(literal 1/3600 binary64)))) |
Compiled 13 608 to 1 795 computations (86.8% saved)
29 alts after pruning (25 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 386 | 15 | 401 |
| Fresh | 5 | 10 | 15 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 1 | 2 |
| Total | 394 | 29 | 423 |
| Status | Accuracy | Program |
|---|---|---|
| 46.3% | (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (neg.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) | |
| 46.6% | (*.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) | |
| 57.7% | (*.f64 (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 1/2 binary64)) | |
| 59.9% | (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64)) | |
| 45.8% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) #s(approx (pow (exp im) -2) (fma.f64 #s(literal -2 binary64) im #s(literal 1 binary64))))))) | |
| ▶ | 81.5% | (*.f64 (sinh.f64 (/.f64 (*.f64 im im) (neg.f64 im))) (cos.f64 re)) |
| ✓ | 99.9% | (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) |
| 65.2% | (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) | |
| 56.3% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) | |
| ▶ | 92.7% | (*.f64 #s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)) (cos.f64 re)) |
| 87.6% | (*.f64 #s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)) (cos.f64 re)) | |
| 79.8% | #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) (cos.f64 re)) im)) | |
| 79.8% | #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) im) (cos.f64 re))) | |
| 51.9% | #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) | |
| 51.3% | #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) im)))) | |
| 50.7% | #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im))) | |
| 50.4% | #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (cos.f64 re) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 im im)) #s(literal 1/6 binary64))) (pow.f64 im #s(literal 3 binary64))))) | |
| ✓ | 48.1% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) |
| ▶ | 64.5% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) |
| 60.4% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im))) | |
| ▶ | 56.7% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
| ✓ | 56.7% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
| 50.7% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))) | |
| 50.7% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im))) | |
| 33.9% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64))))) | |
| 34.2% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) | |
| 33.4% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) | |
| ▶ | 34.9% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
| ✓ | 27.3% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
Compiled 1 612 to 1 166 computations (27.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 im im) | |
| cost-diff | 0 | (sinh.f64 (/.f64 (*.f64 im im) (neg.f64 im))) | |
| cost-diff | 0 | (*.f64 (sinh.f64 (/.f64 (*.f64 im im) (neg.f64 im))) (cos.f64 re)) | |
| cost-diff | 4 | (/.f64 (*.f64 im im) (neg.f64 im)) | |
| cost-diff | 0 | (neg.f64 im) | |
| cost-diff | 0 | (sinh.f64 (neg.f64 im)) | |
| cost-diff | 0 | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) | |
| cost-diff | 0 | (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im) | |
| cost-diff | 0 | #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)) | |
| cost-diff | 0 | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))) | |
| cost-diff | 0 | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) | |
| cost-diff | 0 | (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im) | |
| cost-diff | 0 | #s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)) | |
| cost-diff | 0 | (*.f64 #s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)) (cos.f64 re)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 410 |
| 0 | 85 | 399 |
| 1 | 164 | 399 |
| 2 | 347 | 395 |
| 3 | 1003 | 395 |
| 4 | 4333 | 395 |
| 0 | 8703 | 395 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)) (cos.f64 re)) |
#s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im) |
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) |
(*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) |
(-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) |
(*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) |
#s(literal -1/5040 binary64) |
(*.f64 im im) |
im |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(cos.f64 re) |
re |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
#s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))) |
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))) |
im |
(fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)) |
(*.f64 #s(literal 1/2 binary64) re) |
#s(literal 1/2 binary64) |
re |
#s(literal -1 binary64) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) |
(-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 #s(literal -1/120 binary64) im) im) |
(*.f64 #s(literal -1/120 binary64) im) |
#s(literal -1/120 binary64) |
im |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) |
(sinh.f64 (neg.f64 im)) |
(neg.f64 im) |
im |
(*.f64 (sinh.f64 (/.f64 (*.f64 im im) (neg.f64 im))) (cos.f64 re)) |
(sinh.f64 (/.f64 (*.f64 im im) (neg.f64 im))) |
(/.f64 (*.f64 im im) (neg.f64 im)) |
(*.f64 im im) |
im |
(neg.f64 im) |
(cos.f64 re) |
re |
| Outputs |
|---|
(*.f64 #s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)) (cos.f64 re)) |
(*.f64 (cos.f64 re) #s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
#s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)) |
#s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im) |
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im) im) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) |
(*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) |
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) |
(-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) |
(-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) |
(*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) |
#s(literal -1/5040 binary64) |
(*.f64 im im) |
im |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(cos.f64 re) |
re |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)) im))) |
#s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))) |
#s(approx (* (neg (cos re)) im) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)) im)) |
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)) im) |
im |
(fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)) |
(*.f64 #s(literal 1/2 binary64) re) |
#s(literal 1/2 binary64) |
re |
#s(literal -1 binary64) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) |
(-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 #s(literal -1/120 binary64) im) im) |
(*.f64 #s(literal -1/120 binary64) im) |
#s(literal -1/120 binary64) |
im |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) |
(sinh.f64 (neg.f64 im)) |
(neg.f64 im) |
im |
(*.f64 (sinh.f64 (/.f64 (*.f64 im im) (neg.f64 im))) (cos.f64 re)) |
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) |
(sinh.f64 (/.f64 (*.f64 im im) (neg.f64 im))) |
(sinh.f64 (neg.f64 im)) |
(/.f64 (*.f64 im im) (neg.f64 im)) |
(neg.f64 im) |
(*.f64 im im) |
im |
(neg.f64 im) |
(cos.f64 re) |
re |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (cos.f64 re) | |
| accuracy | 0.0078125 | (sinh.f64 (/.f64 (*.f64 im im) (neg.f64 im))) | |
| accuracy | 0.05078125 | (*.f64 (sinh.f64 (/.f64 (*.f64 im im) (neg.f64 im))) (cos.f64 re)) | |
| accuracy | 26.00395245716045 | (/.f64 (*.f64 im im) (neg.f64 im)) | |
| accuracy | 0.0 | (neg.f64 im) | |
| accuracy | 0.0078125 | (sinh.f64 (neg.f64 im)) | |
| accuracy | 22.696331975961037 | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) | |
| accuracy | 0.1328125 | (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) | |
| accuracy | 0.19921875 | (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) | |
| accuracy | 7.912448012789119 | #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)) | |
| accuracy | 22.696331975961037 | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) re) | |
| accuracy | 2.859028946422662 | (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))) | |
| accuracy | 30.945709556567845 | #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))) | |
| accuracy | 33.18203281217348 | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) | |
| accuracy | 0.08984375 | (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) | |
| accuracy | 0.12890625 | (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) | |
| accuracy | 0.16796875 | (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) | |
| accuracy | 4.610510069004511 | #s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)) |
| 161.0ms | 73× | 1 | valid |
| 65.0ms | 141× | 0 | valid |
| 63.0ms | 42× | 2 | valid |
Compiled 301 to 50 computations (83.4% saved)
ival-exp: 127.0ms (49.7% of total)ival-mult: 48.0ms (18.8% of total)const: 23.0ms (9% of total)adjust: 22.0ms (8.6% of total)ival-sub: 13.0ms (5.1% of total)ival-add: 7.0ms (2.7% of total)ival-cos: 6.0ms (2.3% of total)ival-sinh: 4.0ms (1.6% of total)ival-div: 3.0ms (1.2% of total)ival-neg: 3.0ms (1.2% 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 #s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)) (cos.f64 re)) |
#s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im) |
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
#s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))) |
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) |
(sinh.f64 (neg.f64 im)) |
(neg.f64 im) |
(/.f64 (*.f64 im im) (neg.f64 im)) |
(*.f64 (sinh.f64 (/.f64 (*.f64 im im) (neg.f64 im))) (cos.f64 re)) |
(sinh.f64 (/.f64 (*.f64 im im) (neg.f64 im))) |
(*.f64 im im) |
(*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) |
(*.f64 (*.f64 #s(literal -1/120 binary64) im) im) |
(cos.f64 re) |
| Outputs |
|---|
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))) |
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) |
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) |
(* 1/2 (- (exp (neg im)) (exp im))) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im))))))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im)))))))) |
(* -1 im) |
(+ (* -1 im) (* 1/2 (* im (pow re 2)))) |
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im)))) |
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2)))))))) |
-1 |
(- (* 1/2 (pow re 2)) 1) |
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) |
(+ (* -1/4 (* (pow re 2) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) (* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) |
(+ (* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* (pow re 2) (+ (* -1/4 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* 1/48 (* (pow re 2) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))))) |
(+ (* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* (pow re 2) (+ (* -1/4 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) (* 1/48 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))))))) |
(* 1/2 re) |
1 |
(+ 1 (* -1/2 (pow re 2))) |
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) |
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) |
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im)))))) |
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) |
(* -1 (* im (cos re))) |
(* 1/2 (* im (pow re 2))) |
(* (pow re 2) (+ (* -1 (/ im (pow re 2))) (* 1/2 im))) |
(* 1/2 (pow re 2)) |
(* (pow re 2) (- 1/2 (/ 1 (pow re 2)))) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) |
(cos re) |
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re))))))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re))))))))) |
(* im (- (* -1/6 (pow im 2)) 1)) |
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1)) |
(- (* -1/6 (pow im 2)) 1) |
(- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1) |
(- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1) |
(* im (- (* 1/2 (pow re 2)) 1)) |
(pow im 2) |
(* -1/5040 (pow im 2)) |
(* -1/6 (pow im 2)) |
(* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) |
(* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) |
(* -1/120 (pow im 2)) |
(* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) |
(* -1/6 im) |
(* im (- (* -1/120 (pow im 2)) 1/6)) |
(* -1/5040 (pow im 7)) |
(* -1 (* (pow im 7) (+ 1/5040 (* 1/120 (/ 1 (pow im 2)))))) |
(* (pow im 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow im 2)))) (pow im 2))) 1/5040)) |
(* (pow im 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 4))) (+ 1/5040 (* 1/120 (/ 1 (pow im 2)))))) |
(* -1/5040 (pow im 6)) |
(* -1 (* (pow im 6) (+ 1/5040 (* 1/120 (/ 1 (pow im 2)))))) |
(* (pow im 6) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow im 2)))) (pow im 2))) 1/5040)) |
(* (pow im 6) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 4))) (+ 1/5040 (* 1/120 (/ 1 (pow im 2)))))) |
(* -1/120 (pow im 5)) |
(* -1 (* (pow im 5) (+ 1/120 (* 1/6 (/ 1 (pow im 2)))))) |
(* (pow im 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120)) |
(* -1/120 (pow im 4)) |
(* -1 (* (pow im 4) (+ 1/120 (* 1/6 (/ 1 (pow im 2)))))) |
(* (pow im 4) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120)) |
(* -1/5040 (pow im 4)) |
(* -1 (* (pow im 4) (+ 1/5040 (* 1/120 (/ 1 (pow im 2)))))) |
(* -1/120 (pow im 3)) |
(* -1 (* (pow im 3) (+ 1/120 (* 1/6 (/ 1 (pow im 2)))))) |
(* -1 (* (pow im 7) (+ 1/5040 (+ (/ 1/6 (pow im 4)) (* 1/120 (/ 1 (pow im 2))))))) |
(* -1 (* (pow im 7) (+ 1/5040 (+ (/ 1/6 (pow im 4)) (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (- (exp (* -1 im)) (exp im))) |
(* -1 (* (pow im 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | im | @ | inf | ((* (sinh (neg im)) (cos re)) (sinh (neg im)) (* (- (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) 1) im) (- (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* im (+ (* (* 1/2 re) re) -1)) (+ (* (* 1/2 re) re) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (* (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) im) (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh (neg im)) (neg im) (/ (* im im) (neg im)) (* (sinh (/ (* im im) (neg im))) (cos re)) (sinh (/ (* im im) (neg im))) (* im im) (* -1/5040 (* im im)) (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) (* (* (- (* -1/5040 (* im im)) 1/120) im) im) (* 1/2 re) (* (- (* (* -1/120 im) im) 1/6) im) (* (* -1/120 im) im) (cos re)) |
| 6.0ms | im | @ | 0 | ((* (sinh (neg im)) (cos re)) (sinh (neg im)) (* (- (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) 1) im) (- (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* im (+ (* (* 1/2 re) re) -1)) (+ (* (* 1/2 re) re) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (* (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) im) (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh (neg im)) (neg im) (/ (* im im) (neg im)) (* (sinh (/ (* im im) (neg im))) (cos re)) (sinh (/ (* im im) (neg im))) (* im im) (* -1/5040 (* im im)) (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) (* (* (- (* -1/5040 (* im im)) 1/120) im) im) (* 1/2 re) (* (- (* (* -1/120 im) im) 1/6) im) (* (* -1/120 im) im) (cos re)) |
| 5.0ms | im | @ | -inf | ((* (sinh (neg im)) (cos re)) (sinh (neg im)) (* (- (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) 1) im) (- (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* im (+ (* (* 1/2 re) re) -1)) (+ (* (* 1/2 re) re) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (* (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) im) (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh (neg im)) (neg im) (/ (* im im) (neg im)) (* (sinh (/ (* im im) (neg im))) (cos re)) (sinh (/ (* im im) (neg im))) (* im im) (* -1/5040 (* im im)) (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) (* (* (- (* -1/5040 (* im im)) 1/120) im) im) (* 1/2 re) (* (- (* (* -1/120 im) im) 1/6) im) (* (* -1/120 im) im) (cos re)) |
| 3.0ms | re | @ | inf | ((* (sinh (neg im)) (cos re)) (sinh (neg im)) (* (- (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) 1) im) (- (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* im (+ (* (* 1/2 re) re) -1)) (+ (* (* 1/2 re) re) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (* (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) im) (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh (neg im)) (neg im) (/ (* im im) (neg im)) (* (sinh (/ (* im im) (neg im))) (cos re)) (sinh (/ (* im im) (neg im))) (* im im) (* -1/5040 (* im im)) (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) (* (* (- (* -1/5040 (* im im)) 1/120) im) im) (* 1/2 re) (* (- (* (* -1/120 im) im) 1/6) im) (* (* -1/120 im) im) (cos re)) |
| 3.0ms | re | @ | -inf | ((* (sinh (neg im)) (cos re)) (sinh (neg im)) (* (- (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) 1) im) (- (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* im (+ (* (* 1/2 re) re) -1)) (+ (* (* 1/2 re) re) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (* (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) im) (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh (neg im)) (neg im) (/ (* im im) (neg im)) (* (sinh (/ (* im im) (neg im))) (cos re)) (sinh (/ (* im im) (neg im))) (* im im) (* -1/5040 (* im im)) (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) (* (* (- (* -1/5040 (* im im)) 1/120) im) im) (* 1/2 re) (* (- (* (* -1/120 im) im) 1/6) im) (* (* -1/120 im) im) (cos re)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 232 | 1117 |
| 1 | 771 | 963 |
| 2 | 2767 | 929 |
| 3 | 7252 | 929 |
| 0 | 8620 | 896 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))) |
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) |
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) |
(* 1/2 (- (exp (neg im)) (exp im))) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im))))))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im)))))))) |
(* -1 im) |
(+ (* -1 im) (* 1/2 (* im (pow re 2)))) |
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im)))) |
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2)))))))) |
-1 |
(- (* 1/2 (pow re 2)) 1) |
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) |
(+ (* -1/4 (* (pow re 2) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) (* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) |
(+ (* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* (pow re 2) (+ (* -1/4 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* 1/48 (* (pow re 2) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))))) |
(+ (* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* (pow re 2) (+ (* -1/4 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) (* 1/48 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))))))) |
(* 1/2 re) |
1 |
(+ 1 (* -1/2 (pow re 2))) |
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) |
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) |
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im)))))) |
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) |
(* -1 (* im (cos re))) |
(* 1/2 (* im (pow re 2))) |
(* (pow re 2) (+ (* -1 (/ im (pow re 2))) (* 1/2 im))) |
(* 1/2 (pow re 2)) |
(* (pow re 2) (- 1/2 (/ 1 (pow re 2)))) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) |
(cos re) |
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re))))))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re))))))))) |
(* im (- (* -1/6 (pow im 2)) 1)) |
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1)) |
(- (* -1/6 (pow im 2)) 1) |
(- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1) |
(- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1) |
(* im (- (* 1/2 (pow re 2)) 1)) |
(pow im 2) |
(* -1/5040 (pow im 2)) |
(* -1/6 (pow im 2)) |
(* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) |
(* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) |
(* -1/120 (pow im 2)) |
(* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) |
(* -1/6 im) |
(* im (- (* -1/120 (pow im 2)) 1/6)) |
(* -1/5040 (pow im 7)) |
(* -1 (* (pow im 7) (+ 1/5040 (* 1/120 (/ 1 (pow im 2)))))) |
(* (pow im 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow im 2)))) (pow im 2))) 1/5040)) |
(* (pow im 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 4))) (+ 1/5040 (* 1/120 (/ 1 (pow im 2)))))) |
(* -1/5040 (pow im 6)) |
(* -1 (* (pow im 6) (+ 1/5040 (* 1/120 (/ 1 (pow im 2)))))) |
(* (pow im 6) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow im 2)))) (pow im 2))) 1/5040)) |
(* (pow im 6) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 4))) (+ 1/5040 (* 1/120 (/ 1 (pow im 2)))))) |
(* -1/120 (pow im 5)) |
(* -1 (* (pow im 5) (+ 1/120 (* 1/6 (/ 1 (pow im 2)))))) |
(* (pow im 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120)) |
(* -1/120 (pow im 4)) |
(* -1 (* (pow im 4) (+ 1/120 (* 1/6 (/ 1 (pow im 2)))))) |
(* (pow im 4) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120)) |
(* -1/5040 (pow im 4)) |
(* -1 (* (pow im 4) (+ 1/5040 (* 1/120 (/ 1 (pow im 2)))))) |
(* -1/120 (pow im 3)) |
(* -1 (* (pow im 3) (+ 1/120 (* 1/6 (/ 1 (pow im 2)))))) |
(* -1 (* (pow im 7) (+ 1/5040 (+ (/ 1/6 (pow im 4)) (* 1/120 (/ 1 (pow im 2))))))) |
(* -1 (* (pow im 7) (+ 1/5040 (+ (/ 1/6 (pow im 4)) (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) |
(* 1/2 (- (exp (* -1 im)) (exp im))) |
(* -1 (* (pow im 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))) |
| Outputs |
|---|
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) |
(fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
(* 1/2 (- (exp (neg im)) (exp im))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im))))))) |
(fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im)))))))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
(* -1 im) |
(neg.f64 im) |
(+ (* -1 im) (* 1/2 (* im (pow re 2)))) |
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))) |
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im)))) |
(fma.f64 (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re (neg.f64 im)) |
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2)))))))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 im (fma.f64 (*.f64 #s(literal 1/720 binary64) re) re #s(literal -1/24 binary64))) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 (pow re 2)) 1) |
(-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(+ (* -1/4 (* (pow re 2) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) (* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* (pow re 2) (+ (* -1/4 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* 1/48 (* (pow re 2) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))))) |
(fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* (pow re 2) (+ (* -1/4 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) (* 1/48 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))))))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
(* 1/2 re) |
(*.f64 #s(literal 1/2 binary64) re) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow re 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) |
(fma.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64))) (*.f64 re re) #s(literal 1 binary64)) |
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im)))))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* -1 (* im (cos re))) |
(*.f64 (neg.f64 (cos.f64 re)) im) |
(* 1/2 (* im (pow re 2))) |
(*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) |
(* (pow re 2) (+ (* -1 (/ im (pow re 2))) (* 1/2 im))) |
(*.f64 (*.f64 im (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) re) re) #s(literal -1/2 binary64))) (*.f64 re re)) |
(* 1/2 (pow re 2)) |
(*.f64 (*.f64 re re) #s(literal 1/2 binary64)) |
(* (pow re 2) (- 1/2 (/ 1 (pow re 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(cos re) |
(cos.f64 re) |
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) |
(*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re))))))) |
(*.f64 (fma.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))) (*.f64 im im) (neg.f64 (cos.f64 re))) im) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re))))))))) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64))) (*.f64 (cos.f64 re) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im) |
(* im (- (* -1/6 (pow im 2)) 1)) |
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) |
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im) |
(- (* -1/6 (pow im 2)) 1) |
(-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) |
(- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1) |
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) |
(* im (- (* 1/2 (pow re 2)) 1)) |
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))) |
(pow im 2) |
(*.f64 im im) |
(* -1/5040 (pow im 2)) |
(*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) |
(* -1/6 (pow im 2)) |
(*.f64 (*.f64 im im) #s(literal -1/6 binary64)) |
(* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) |
(* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) |
(* -1/120 (pow im 2)) |
(*.f64 #s(literal -1/120 binary64) (*.f64 im im)) |
(* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) |
(* -1/6 im) |
(*.f64 #s(literal -1/6 binary64) im) |
(* im (- (* -1/120 (pow im 2)) 1/6)) |
(*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) |
(* -1/5040 (pow im 7)) |
(*.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/5040 binary64)) |
(* -1 (* (pow im 7) (+ 1/5040 (* 1/120 (/ 1 (pow im 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal -1/5040 binary64)) (pow.f64 im #s(literal 7 binary64))) |
(* (pow im 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow im 2)))) (pow im 2))) 1/5040)) |
(*.f64 (+.f64 (/.f64 #s(literal -1/120 binary64) (*.f64 im im)) (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/5040 binary64))) (pow.f64 im #s(literal 7 binary64))) |
(* (pow im 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 4))) (+ 1/5040 (* 1/120 (/ 1 (pow im 2)))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) im) im) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) #s(literal 1/5040 binary64))) (pow.f64 im #s(literal 7 binary64))) |
(* -1/5040 (pow im 6)) |
(*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/5040 binary64)) |
(* -1 (* (pow im 6) (+ 1/5040 (* 1/120 (/ 1 (pow im 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal -1/5040 binary64)) (pow.f64 im #s(literal 6 binary64))) |
(* (pow im 6) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow im 2)))) (pow im 2))) 1/5040)) |
(*.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal -1/120 binary64) (*.f64 im im)) (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/5040 binary64)))) |
(* (pow im 6) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 4))) (+ 1/5040 (* 1/120 (/ 1 (pow im 2)))))) |
(*.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) im) im) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) #s(literal 1/5040 binary64)))) |
(* -1/120 (pow im 5)) |
(*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64)) |
(* -1 (* (pow im 5) (+ 1/120 (* 1/6 (/ 1 (pow im 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 5 binary64))) |
(* (pow im 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120)) |
(*.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 im im)) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/120 binary64))) (pow.f64 im #s(literal 5 binary64))) |
(* -1/120 (pow im 4)) |
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64)) |
(* -1 (* (pow im 4) (+ 1/120 (* 1/6 (/ 1 (pow im 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64))) |
(* (pow im 4) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120)) |
(*.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 im im)) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/120 binary64))) (pow.f64 im #s(literal 4 binary64))) |
(* -1/5040 (pow im 4)) |
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/5040 binary64)) |
(* -1 (* (pow im 4) (+ 1/5040 (* 1/120 (/ 1 (pow im 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal -1/5040 binary64)) (pow.f64 im #s(literal 4 binary64))) |
(* -1/120 (pow im 3)) |
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/120 binary64)) |
(* -1 (* (pow im 3) (+ 1/120 (* 1/6 (/ 1 (pow im 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 3 binary64))) |
(* -1 (* (pow im 7) (+ 1/5040 (+ (/ 1/6 (pow im 4)) (* 1/120 (/ 1 (pow im 2))))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/5040 binary64)) (/.f64 #s(literal -1/120 binary64) (*.f64 im im))) (pow.f64 im #s(literal 7 binary64))) |
(* -1 (* (pow im 7) (+ 1/5040 (+ (/ 1/6 (pow im 4)) (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))) |
(*.f64 (neg.f64 (pow.f64 im #s(literal 7 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/5040 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im))) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (- (exp (* -1 im)) (exp im))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(* -1 (* (pow im 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/120 binary64)) (/.f64 #s(literal -1/6 binary64) (*.f64 im im))) (pow.f64 im #s(literal 5 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 336 |
| 0 | 85 | 325 |
| 1 | 279 | 316 |
| 2 | 1683 | 316 |
| 0 | 8351 | 316 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)) (cos.f64 re)) |
#s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im) |
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
#s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))) |
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) |
(sinh.f64 (neg.f64 im)) |
(neg.f64 im) |
(/.f64 (*.f64 im im) (neg.f64 im)) |
(*.f64 (sinh.f64 (/.f64 (*.f64 im im) (neg.f64 im))) (cos.f64 re)) |
(sinh.f64 (/.f64 (*.f64 im im) (neg.f64 im))) |
(*.f64 im im) |
(*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) |
(*.f64 (*.f64 #s(literal -1/120 binary64) im) im) |
(cos.f64 re) |
| Outputs |
|---|
(*.f64 (cos.f64 re) #s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
(*.f64 #s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)) (cos.f64 re)) |
#s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)) |
(*.f64 (/.f64 im (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) (/.f64 im #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im) |
(*.f64 im (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)) im)) (neg.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1 binary64)) im)) (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)) im) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1 binary64)) im) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(/.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(/.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))) (*.f64 (pow.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
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(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/216 binary64)) (*.f64 im im)) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/36 binary64)))) |
(/.f64 (*.f64 (*.f64 im im) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im #s(literal 1/6 binary64))) |
(/.f64 (*.f64 (*.f64 im im) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/216 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/36 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (neg.f64 im)) (neg.f64 im)) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) |
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 im im)) |
(*.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) |
(*.f64 im (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/14400 binary64)) (*.f64 im im))) (neg.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/1728000 binary64)) (*.f64 im im))) (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/604800 binary64) #s(literal 1/14400 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/14400 binary64)) (*.f64 im im)) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/1728000 binary64)) (*.f64 im im)) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/604800 binary64) #s(literal 1/14400 binary64)))) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 re #s(literal 1/2 binary64)) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) |
(*.f64 im (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) im)) (neg.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) im) im #s(literal 1/6 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/1728000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/216 binary64)) im)) (neg.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/14400 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64) #s(literal 1/36 binary64))))) |
(/.f64 (neg.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) im) im #s(literal 1/6 binary64)))) |
(/.f64 (neg.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/1728000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/216 binary64)))) (neg.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/14400 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64) #s(literal 1/36 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) im) (fma.f64 (*.f64 #s(literal -1/120 binary64) im) im #s(literal 1/6 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/1728000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/216 binary64)) im) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/14400 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64) #s(literal 1/36 binary64)))) |
(/.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64))) (fma.f64 (*.f64 #s(literal -1/120 binary64) im) im #s(literal 1/6 binary64))) |
(/.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/1728000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/216 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/14400 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64) #s(literal 1/36 binary64)))) |
(*.f64 (*.f64 #s(literal -1/120 binary64) (neg.f64 im)) (neg.f64 im)) |
(*.f64 (*.f64 #s(literal -1/120 binary64) im) im) |
(*.f64 #s(literal -1/120 binary64) (*.f64 im im)) |
(*.f64 (*.f64 im im) #s(literal -1/120 binary64)) |
(*.f64 im (*.f64 #s(literal -1/120 binary64) im)) |
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1 binary64)) (*.f64 (cos.f64 re) #s(literal 1 binary64)))) (-.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1 binary64)) (*.f64 (cos.f64 re) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 1 binary64)))))) |
(fma.f64 (sin.f64 (neg.f64 re)) #s(literal 0 binary64) (*.f64 (cos.f64 re) #s(literal 1 binary64))) |
(fma.f64 (sin.f64 re) #s(literal 0 binary64) (*.f64 (cos.f64 re) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (*.f64 #s(literal 0 binary64) (sin.f64 re))) |
(sin.f64 (+.f64 (neg.f64 (neg.f64 re)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) re)) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 re)))) |
(cos.f64 (neg.f64 (neg.f64 re))) |
(cos.f64 (neg.f64 re)) |
(cos.f64 re) |
(+.f64 (*.f64 (sin.f64 (neg.f64 re)) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 #s(literal 0 binary64) (sin.f64 re))) |
(+.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 1 binary64))) |
Compiled 28 051 to 4 246 computations (84.9% saved)
34 alts after pruning (25 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 783 | 9 | 792 |
| Fresh | 4 | 16 | 20 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 787 | 34 | 821 |
| Status | Accuracy | Program |
|---|---|---|
| 46.3% | (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (neg.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) | |
| 46.6% | (*.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) | |
| 57.7% | (*.f64 (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 1/2 binary64)) | |
| 59.9% | (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64)) | |
| 45.8% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) #s(approx (pow (exp im) -2) (fma.f64 #s(literal -2 binary64) im #s(literal 1 binary64))))))) | |
| ✓ | 81.5% | (*.f64 (sinh.f64 (/.f64 (*.f64 im im) (neg.f64 im))) (cos.f64 re)) |
| ✓ | 99.9% | (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) |
| 65.2% | (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) | |
| 56.3% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) | |
| ✓ | 92.7% | (*.f64 #s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)) (cos.f64 re)) |
| 87.6% | (*.f64 #s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (-.f64 #s(approx (* (* (- (* -1/5040 (* im im)) 1/120) im) im) (*.f64 #s(literal -1/120 binary64) (*.f64 im im))) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)) (cos.f64 re)) | |
| 79.8% | #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) (cos.f64 re)) im)) | |
| 79.8% | #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) im) (cos.f64 re))) | |
| 51.9% | #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) | |
| 51.3% | #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) im)))) | |
| 50.7% | #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im))) | |
| 50.4% | #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (cos.f64 re) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 im im)) #s(literal 1/6 binary64))) (pow.f64 im #s(literal 3 binary64))))) | |
| ✓ | 48.1% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) |
| ✓ | 64.5% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) |
| 60.4% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im))) | |
| ✓ | 56.7% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
| ✓ | 56.7% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
| 50.7% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))) | |
| 50.7% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* (* -1/120 im) im) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im))) | |
| 33.9% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64))))) | |
| 34.2% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) | |
| 35.0% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im)))) | |
| 34.9% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) im) (neg.f64 im)))) | |
| 33.4% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) | |
| ✓ | 34.9% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
| 28.4% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))))))) | |
| 35.5% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re))))) | |
| 12.9% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) | |
| ✓ | 27.3% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
Compiled 2 516 to 1 081 computations (57% saved)
| Inputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* (* -1/120 im) im) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))))))) |
(*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64)) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) |
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) im) (cos.f64 re))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) (cos.f64 re)) im)) |
(*.f64 #s(approx (* (cos re) (* 2 (sinh (neg im)))) (*.f64 (*.f64 (cos.f64 re) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64))) im)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) |
(*.f64 (*.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (cos.f64 re) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)) (cos.f64 re)) |
(*.f64 #s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (-.f64 #s(approx (* (* (- (* -1/5040 (* im im)) 1/120) im) im) (*.f64 #s(literal -1/120 binary64) (*.f64 im im))) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)) (cos.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
(*.f64 #s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)) (cos.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
(*.f64 (*.f64 (cos.f64 re) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64)) |
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64)) |
(*.f64 (sinh.f64 (/.f64 (*.f64 im im) (neg.f64 im))) (cos.f64 re)) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (cos.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 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (*.f64 im (neg.f64 im)) im)))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (*.f64 im im))))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) #s(approx (pow (exp im) -2) (fma.f64 #s(literal -2 binary64) im #s(literal 1 binary64))))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))) |
(*.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (neg.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
| Outputs |
|---|
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) |
6 calls:
| 33.0ms | im |
| 16.0ms | re |
| 15.0ms | (cos.f64 re) |
| 15.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 10.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| 99.9% | 1 | (cos.f64 re) |
| 99.9% | 1 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 99.9% | 1 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 99.9% | 1 | re |
| 99.9% | 1 | im |
Compiled 27 to 30 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* (* -1/120 im) im) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))))))) |
(*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64)) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) |
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) im) (cos.f64 re))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) (cos.f64 re)) im)) |
(*.f64 #s(approx (* (cos re) (* 2 (sinh (neg im)))) (*.f64 (*.f64 (cos.f64 re) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64))) im)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) |
(*.f64 (*.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (cos.f64 re) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)) (cos.f64 re)) |
(*.f64 #s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (-.f64 #s(approx (* (* (- (* -1/5040 (* im im)) 1/120) im) im) (*.f64 #s(literal -1/120 binary64) (*.f64 im im))) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)) (cos.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
(*.f64 #s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)) (cos.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
(*.f64 (*.f64 (cos.f64 re) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) |
(*.f64 #s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)) (cos.f64 re)) |
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
6 calls:
| 21.0ms | (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| 16.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 12.0ms | re |
| 11.0ms | im |
| 10.0ms | (cos.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.7% | 1 | (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| 96.8% | 2 | (cos.f64 re) |
| 96.8% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 99.5% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 96.8% | 2 | re |
| 99.4% | 3 | im |
Compiled 27 to 30 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* (* -1/120 im) im) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))))))) |
(*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64)) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) |
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) im) (cos.f64 re))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) (cos.f64 re)) im)) |
(*.f64 #s(approx (* (cos re) (* 2 (sinh (neg im)))) (*.f64 (*.f64 (cos.f64 re) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64))) im)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) |
(*.f64 (*.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (cos.f64 re) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)) (cos.f64 re)) |
(*.f64 #s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (-.f64 #s(approx (* (* (- (* -1/5040 (* im im)) 1/120) im) im) (*.f64 #s(literal -1/120 binary64) (*.f64 im im))) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)) (cos.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
| Outputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) |
(*.f64 #s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)) (cos.f64 re)) |
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
2 calls:
| 15.0ms | im |
| 7.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 3 | im |
| 99.3% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* (* -1/120 im) im) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))))))) |
(*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64)) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) |
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) im) (cos.f64 re))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) (cos.f64 re)) im)) |
(*.f64 #s(approx (* (cos re) (* 2 (sinh (neg im)))) (*.f64 (*.f64 (cos.f64 re) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64))) im)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) |
(*.f64 (*.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (cos.f64 re) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) im) (cos.f64 re))) |
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
1 calls:
| 7.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
Compiled 12 to 11 computations (8.3% saved)
| Inputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* (* -1/120 im) im) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))))))) |
(*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64)) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) |
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
| Outputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
1 calls:
| 7.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
Compiled 12 to 11 computations (8.3% saved)
| Inputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* (* -1/120 im) im) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))))))) |
(*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64)) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) |
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) |
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
1 calls:
| 5.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
Compiled 12 to 11 computations (8.3% saved)
| Inputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* (* -1/120 im) im) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))))))) |
(*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64)) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) |
| Outputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) |
(*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64)) |
5 calls:
| 22.0ms | (cos.f64 re) |
| 9.0ms | im |
| 7.0ms | re |
| 7.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 5.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.6% | 4 | (cos.f64 re) |
| 81.6% | 4 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 74.7% | 2 | re |
| 84.6% | 2 | im |
| 98.0% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
Compiled 20 to 23 computations (-15% saved)
| Inputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* (* -1/120 im) im) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))))))) |
(*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64)) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64))))) |
| Outputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) |
(*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64)) |
5 calls:
| 7.0ms | im |
| 6.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 6.0ms | (cos.f64 re) |
| 5.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 5.0ms | (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.9% | 2 | (cos.f64 re) |
| 77.9% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 64.5% | 1 | im |
| 64.5% | 1 | (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| 78.0% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
Compiled 26 to 28 computations (-7.7% saved)
| Inputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* (* -1/120 im) im) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))))))) |
(*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im))) |
(*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64)) |
4 calls:
| 6.0ms | re |
| 6.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 6.0ms | (cos.f64 re) |
| 5.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.1% | 2 | re |
| 73.8% | 2 | (cos.f64 re) |
| 73.8% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 73.8% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
Compiled 19 to 21 computations (-10.5% saved)
| Inputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* (* -1/120 im) im) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))))))) |
| Outputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) |
1 calls:
| 4.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.8% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
Compiled 12 to 11 computations (8.3% saved)
| Inputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* (* -1/120 im) im) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im))) |
3 calls:
| 5.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 5.0ms | (cos.f64 re) |
| 4.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.5% | 2 | (cos.f64 re) |
| 73.5% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 73.4% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
Compiled 18 to 19 computations (-5.6% saved)
| Inputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* (* -1/120 im) im) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im))) |
| Outputs |
|---|
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im))) |
3 calls:
| 5.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 5.0ms | (cos.f64 re) |
| 4.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.1% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 73.2% | 2 | (cos.f64 re) |
| 73.2% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
Compiled 18 to 19 computations (-5.6% saved)
| Inputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* (* -1/120 im) im) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re))))) |
| Outputs |
|---|
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
3 calls:
| 6.0ms | (cos.f64 re) |
| 5.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 4.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.4% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 69.5% | 2 | (cos.f64 re) |
| 69.5% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
Compiled 18 to 19 computations (-5.6% saved)
| Inputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* (* -1/120 im) im) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
| Outputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))) |
3 calls:
| 5.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 4.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 4.0ms | (cos.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.6% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 67.7% | 2 | (cos.f64 re) |
| 67.7% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
Compiled 18 to 19 computations (-5.6% saved)
| Inputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* (* -1/120 im) im) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
| Outputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im)))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im))) |
6 calls:
| 32.0ms | re |
| 4.0ms | im |
| 4.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 4.0ms | (cos.f64 re) |
| 3.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.7% | 1 | re |
| 50.7% | 1 | (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| 54.3% | 3 | im |
| 61.5% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 61.6% | 2 | (cos.f64 re) |
| 61.6% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
Compiled 27 to 30 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) im) (neg.f64 im)))) |
| Outputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im))) |
2 calls:
| 2.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 2.0ms | (cos.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.6% | 2 | (cos.f64 re) |
| 61.6% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
Compiled 6 to 8 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
| Outputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
6 calls:
| 2.0ms | re |
| 2.0ms | im |
| 2.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 2.0ms | (cos.f64 re) |
| 1.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.3% | 2 | (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| 34.9% | 1 | re |
| 37.3% | 2 | im |
| 38.0% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 38.1% | 2 | (cos.f64 re) |
| 38.1% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
Compiled 27 to 30 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) |
| Outputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
2 calls:
| 1.0ms | (cos.f64 re) |
| 1.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.1% | 2 | (cos.f64 re) |
| 38.1% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
Compiled 6 to 8 computations (-33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
| Outputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
6 calls:
| 34.0ms | im |
| 1.0ms | re |
| 1.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 1.0ms | (cos.f64 re) |
| 1.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 27.3% | 1 | re |
| 27.3% | 1 | im |
| 27.3% | 1 | (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| 27.3% | 1 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 27.3% | 1 | (cos.f64 re) |
| 27.3% | 1 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
Compiled 27 to 30 computations (-11.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0060883748971120874 | +inf |
| 0.0ms | -1157909.419587631 | -0.2187865618179776 |
Compiled 15 to 16 computations (-6.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0060883748971120874 | +inf |
| 0.0ms | -1157909.419587631 | -0.2187865618179776 |
Compiled 15 to 16 computations (-6.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0060883748971120874 | +inf |
| 0.0ms | -0.042609072908311785 | -0.0 |
Compiled 15 to 16 computations (-6.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0060883748971120874 | +inf |
| 0.0ms | -0.042609072908311785 | -0.0 |
Compiled 15 to 16 computations (-6.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0060883748971120874 | +inf |
| 0.0ms | -0.042609072908311785 | -0.0 |
Compiled 15 to 16 computations (-6.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0060883748971120874 | +inf |
| 0.0ms | -0.042609072908311785 | -0.0 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 4.418495121248374e-15 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 4.418495121248374e-15 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 4.418495121248374e-15 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0006864879969911393 | 0.006504026347240143 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0006864879969911393 | 0.006504026347240143 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0006864879969911393 | 0.006504026347240143 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0006864879969911393 | 0.006504026347240143 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0006864879969911393 | 0.006504026347240143 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0006864879969911393 | 0.006504026347240143 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0006864879969911393 | 0.006504026347240143 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0006864879969911393 | 0.006504026347240143 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 180 | 1375 |
| 1 | 274 | 1375 |
| 2 | 463 | 1375 |
| 3 | 1081 | 1337 |
| 4 | 3664 | 1337 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -1000000 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)) (cos.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -1000000 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)) (cos.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) im) (cos.f64 re))) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im))) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))) |
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -1152921504606847/2305843009213693952 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)))) |
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -1152921504606847/2305843009213693952 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) im)))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)))) |
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -1152921504606847/2305843009213693952 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) im)))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))) |
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -1152921504606847/2305843009213693952 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im)))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))) |
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -1152921504606847/2305843009213693952 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im)))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))) |
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -1152921504606847/2305843009213693952 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))) |
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -1152921504606847/2305843009213693952 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))) |
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -1152921504606847/2305843009213693952 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
| Outputs |
|---|
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -1000000 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)) (cos.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -1000000 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)) (cos.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -1000000 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)) (cos.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -1000000 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)) (cos.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) im) (cos.f64 re))) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) im) (cos.f64 re))) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im))) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im))) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))) |
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -1152921504606847/2305843009213693952 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)))) |
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -1152921504606847/2305843009213693952 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) im)))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)))) |
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -1152921504606847/2305843009213693952 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) im)))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)))) |
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -1152921504606847/2305843009213693952 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) im)))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))) |
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -1152921504606847/2305843009213693952 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) im)))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))) |
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -1152921504606847/2305843009213693952 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im)))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))) |
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -1152921504606847/2305843009213693952 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im)))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))) |
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -1152921504606847/2305843009213693952 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im)))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))) |
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -1152921504606847/2305843009213693952 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))) |
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -1152921504606847/2305843009213693952 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))) |
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -1152921504606847/2305843009213693952 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))) |
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -1152921504606847/2305843009213693952 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 299 | 1187 |
| 1 | 939 | 1012 |
| 2 | 3446 | 976 |
| 3 | 7902 | 976 |
| 0 | 8001 | 918 |
| 0 | 126 | 381 |
| 1 | 387 | 349 |
| 2 | 1286 | 341 |
| 3 | 5237 | 320 |
| 0 | 8363 | 297 |
| 0 | 46 | 260 |
| 0 | 75 | 202 |
| 1 | 243 | 177 |
| 2 | 1508 | 177 |
| 0 | 8571 | 177 |
| 0 | 232 | 1117 |
| 1 | 771 | 963 |
| 2 | 2767 | 929 |
| 3 | 7252 | 929 |
| 0 | 8620 | 896 |
| 0 | 11 | 30 |
| 0 | 18 | 27 |
| 1 | 64 | 27 |
| 2 | 420 | 25 |
| 0 | 5001 | 25 |
| 0 | 61 | 313 |
| 0 | 90 | 311 |
| 1 | 293 | 287 |
| 2 | 1702 | 287 |
| 0 | 8367 | 287 |
| 0 | 56 | 336 |
| 0 | 85 | 325 |
| 1 | 279 | 316 |
| 2 | 1683 | 316 |
| 0 | 8351 | 316 |
| 0 | 288 | 1317 |
| 1 | 968 | 1159 |
| 2 | 3994 | 1076 |
| 0 | 8202 | 1017 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 419 to 180 computations (87.3% saved)
(negabs im)
(abs re)
Compiled 2 970 to 464 computations (84.4% saved)
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