
Time bar (total: 7.7s)
| 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)
| 950.0ms | 8 256× | 0 | valid |
ival-sin: 210.0ms (29.9% of total)ival-exp: 208.0ms (29.6% of total)ival-mult: 133.0ms (18.9% of total)ival-sub: 80.0ms (11.4% of total)ival-add: 54.0ms (7.7% of total)exact: 8.0ms (1.1% of total)ival-true: 5.0ms (0.7% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 0 | 0 | - | 0 | - | (exp.f64 im) |
| 0 | 0 | - | 0 | - | (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| 0 | 0 | - | 0 | - | (sin.f64 re) |
| 0 | 0 | - | 0 | - | #s(literal 0 binary64) |
| 0 | 0 | - | 0 | - | im |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 0 binary64) im) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 0 | 0 | - | 0 | - | re |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 0 | 1 | (-1.3955799919243391e-123 -179.38577115280088) | 0 | - | (exp.f64 (-.f64 #s(literal 0 binary64) im)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
exp.f64 | (exp.f64 (-.f64 #s(literal 0 binary64) im)) | sensitivity | 1 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 1 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 1 | 1 | 254 |
| number | freq |
|---|---|
| 0 | 255 |
| 1 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 1 | 0 | 0 |
| 30.0ms | 256× | 0 | valid |
Compiled 128 to 59 computations (53.9% saved)
ival-sin: 6.0ms (40.6% of total)ival-exp: 3.0ms (20.3% of total)ival-mult: 3.0ms (20.3% of total)ival-sub: 1.0ms (6.8% of total)ival-add: 1.0ms (6.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 61 |
| 1 | 94 | 55 |
| 2 | 358 | 55 |
| 3 | 877 | 55 |
| 4 | 1685 | 55 |
| 5 | 2296 | 55 |
| 6 | 2644 | 55 |
| 7 | 2937 | 55 |
| 8 | 3185 | 55 |
| 9 | 3261 | 55 |
| 10 | 3263 | 55 |
| 11 | 3263 | 55 |
| 12 | 3295 | 55 |
| 13 | 3300 | 55 |
| 14 | 3300 | 55 |
| 0 | 11 | 12 |
| 0 | 18 | 11 |
| 1 | 34 | 11 |
| 2 | 76 | 11 |
| 3 | 113 | 11 |
| 4 | 139 | 11 |
| 5 | 163 | 11 |
| 6 | 182 | 11 |
| 7 | 182 | 11 |
| 8 | 184 | 11 |
| 9 | 189 | 11 |
| 10 | 189 | 11 |
| 0 | 189 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
(*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re)) |
(abs im)
(negabs re)
Compiled 12 to 11 computations (8.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.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 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) | |
| cost-diff | 0 | (sin.f64 re) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) | |
| cost-diff | 64 | (-.f64 #s(literal 0 binary64) im) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 38 |
| 0 | 18 | 34 |
| 1 | 34 | 34 |
| 2 | 76 | 34 |
| 3 | 113 | 34 |
| 4 | 139 | 34 |
| 5 | 163 | 34 |
| 6 | 182 | 34 |
| 7 | 182 | 34 |
| 8 | 184 | 34 |
| 9 | 189 | 34 |
| 10 | 189 | 34 |
| 0 | 189 | 34 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
#s(literal 1/2 binary64) |
(sin.f64 re) |
re |
(+.f64 (exp.f64 (-.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) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
(*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re)) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sin.f64 re) |
re |
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
(+.f64 (exp.f64 im) (exp.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 | (exp.f64 (-.f64 #s(literal 0 binary64) im)) | |
| accuracy | 0 | (exp.f64 im) | |
| accuracy | 0.00390625 | (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) | |
| accuracy | 0.0078125 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 73.0ms | 256× | 0 | valid |
Compiled 78 to 24 computations (69.2% saved)
ival-mult: 29.0ms (72.4% of total)ival-sin: 6.0ms (15% of total)ival-exp: 3.0ms (7.5% of total)ival-sub: 1.0ms (2.5% of total)ival-add: 1.0ms (2.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 #s(literal 0 binary64) im) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
(sin.f64 re) |
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
(exp.f64 im) |
(exp.f64 (-.f64 #s(literal 0 binary64) im)) |
| Outputs |
|---|
(* 1/2 re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
re |
(* re (+ 1 (* -1/6 (pow re 2)))) |
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) |
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6)))) |
(* 1/2 (* re (+ (exp im) (exp (neg im))))) |
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im))))))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im)))))))))) |
(* 1/2 (sin re)) |
(sin re) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* -1 im) |
2 |
(+ 2 (pow im 2)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
(+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) |
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re))))) |
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re))))))) |
1 |
(+ 1 im) |
(+ 1 (* im (+ 1 (* 1/2 im)))) |
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) |
(+ 1 (* -1 im)) |
(+ 1 (* im (- (* 1/2 im) 1))) |
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) |
(+ (exp im) (exp (neg im))) |
(exp im) |
(exp (neg im)) |
(+ (exp im) (exp (* -1 im))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(exp (* -1 im)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | im | @ | inf | ((- 0 im) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (exp im) (exp (- 0 im))) |
| 1.0ms | im | @ | 0 | ((- 0 im) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (exp im) (exp (- 0 im))) |
| 1.0ms | im | @ | -inf | ((- 0 im) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (exp im) (exp (- 0 im))) |
| 1.0ms | re | @ | inf | ((- 0 im) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (exp im) (exp (- 0 im))) |
| 1.0ms | re | @ | 0 | ((- 0 im) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (exp im) (exp (- 0 im))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 130 | 412 |
| 1 | 419 | 380 |
| 2 | 1288 | 364 |
| 3 | 4277 | 347 |
| 4 | 5227 | 347 |
| 5 | 5793 | 347 |
| 6 | 6428 | 347 |
| 7 | 7715 | 347 |
| 0 | 8008 | 307 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
re |
(* re (+ 1 (* -1/6 (pow re 2)))) |
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) |
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6)))) |
(* 1/2 (* re (+ (exp im) (exp (neg im))))) |
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im))))))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im)))))))))) |
(* 1/2 (sin re)) |
(sin re) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* -1 im) |
2 |
(+ 2 (pow im 2)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
(+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) |
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re))))) |
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re))))))) |
1 |
(+ 1 im) |
(+ 1 (* im (+ 1 (* 1/2 im)))) |
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) |
(+ 1 (* -1 im)) |
(+ 1 (* im (- (* 1/2 im) 1))) |
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) |
(+ (exp im) (exp (neg im))) |
(exp im) |
(exp (neg im)) |
(+ (exp im) (exp (* -1 im))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(exp (* -1 im)) |
| Outputs |
|---|
(* 1/2 re) |
(*.f64 #s(literal 1/2 binary64) re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
re |
(* re (+ 1 (* -1/6 (pow re 2)))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re) |
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re) |
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6)))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re) |
(* 1/2 (* re (+ (exp im) (exp (neg im))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) re) |
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im))))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im)))))))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re) |
(* 1/2 (sin re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(sin re) |
(sin.f64 re) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* -1 im) |
(neg.f64 im) |
2 |
#s(literal 2 binary64) |
(+ 2 (pow im 2)) |
(fma.f64 im im #s(literal 2 binary64)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
(fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))) |
(+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)) |
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re))))) |
(*.f64 (sin.f64 re) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64)))) |
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re))))))) |
(*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 im) |
(-.f64 im #s(literal -1 binary64)) |
(+ 1 (* im (+ 1 (* 1/2 im)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64)) |
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64)) |
(+ 1 (* -1 im)) |
(-.f64 #s(literal 1 binary64) im) |
(+ 1 (* im (- (* 1/2 im) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal -1 binary64)) im #s(literal 1 binary64)) |
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal -1 binary64)) im #s(literal 1 binary64)) |
(+ (exp im) (exp (neg im))) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(exp im) |
(exp.f64 im) |
(exp (neg im)) |
(exp.f64 (neg.f64 im)) |
(+ (exp im) (exp (* -1 im))) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(exp (* -1 im)) |
(exp.f64 (neg.f64 im)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 34 |
| 0 | 18 | 30 |
| 1 | 59 | 26 |
| 2 | 397 | 24 |
| 0 | 4416 | 24 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 0 binary64) im) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
(sin.f64 re) |
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
(exp.f64 im) |
(exp.f64 (-.f64 #s(literal 0 binary64) im)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 im im) (*.f64 im im)) (neg.f64 im)) |
(*.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))) |
(*.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)) |
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(/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) |
(fma.f64 (*.f64 (exp.f64 im) (sin.f64 re)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re))) |
(fma.f64 (/.f64 (sin.f64 re) (exp.f64 im)) #s(literal 1/2 binary64) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) |
(fma.f64 (exp.f64 im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re))) |
(fma.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) |
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re))) |
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) |
(fma.f64 (sin.f64 re) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re))) |
(fma.f64 (sin.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 im) (sin.f64 re)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (exp.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (/.f64 (pow.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) |
(+.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) |
(*.f64 #s(literal 1 binary64) (exp.f64 im)) |
(*.f64 (exp.f64 im) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (exp.f64 im)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))) |
(/.f64 (exp.f64 im) #s(literal 1 binary64)) |
(exp.f64 im) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 im))) |
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))) |
(*.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) im) |
(pow.f64 (exp.f64 (*.f64 (neg.f64 im) im)) (pow.f64 im #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64))) (pow.f64 im #s(literal -2 binary64))) |
(pow.f64 (exp.f64 im) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 im))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 im)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 im)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 im))) |
(exp.f64 (neg.f64 im)) |
Compiled 5 531 to 910 computations (83.5% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 248 | 5 | 253 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 249 | 5 | 254 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) |
| ▶ | 100.0% | (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
| ▶ | 100.0% | (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) |
| ▶ | 74.1% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| ▶ | 50.8% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
Compiled 128 to 112 computations (12.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (exp.f64 (neg.f64 im)) | |
| cost-diff | 0 | (sin.f64 re) | |
| cost-diff | 0 | (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) | |
| cost-diff | 13952 | (fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) | |
| cost-diff | 0 | (sin.f64 re) | |
| cost-diff | 0 | (cosh.f64 im) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) | |
| cost-diff | 320 | (*.f64 #s(literal 1 binary64) (cosh.f64 im)) | |
| cost-diff | 0 | #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) | |
| cost-diff | 0 | (sin.f64 re) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (sin.f64 re) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (sin.f64 re) | |
| cost-diff | 0 | (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) | |
| cost-diff | 1408 | (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 169 |
| 0 | 50 | 163 |
| 1 | 92 | 155 |
| 2 | 183 | 135 |
| 3 | 356 | 135 |
| 4 | 893 | 135 |
| 5 | 2639 | 135 |
| 6 | 3172 | 135 |
| 7 | 3303 | 135 |
| 8 | 3303 | 135 |
| 9 | 7226 | 135 |
| 10 | 7248 | 135 |
| 11 | 7248 | 135 |
| 12 | 7490 | 135 |
| 13 | 7490 | 135 |
| 0 | 8236 | 135 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(sin.f64 re) |
re |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(*.f64 (cosh.f64 im) #s(literal 2 binary64)) |
(cosh.f64 im) |
im |
#s(literal 2 binary64) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
#s(literal 1/2 binary64) |
(sin.f64 re) |
re |
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
#s(literal 1/2 binary64) |
(sin.f64 re) |
re |
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 im im #s(literal 2 binary64)) |
im |
#s(literal 2 binary64) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) |
(*.f64 #s(literal 1 binary64) (cosh.f64 im)) |
#s(literal 1 binary64) |
(cosh.f64 im) |
im |
(sin.f64 re) |
re |
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(sin.f64 re) |
re |
#s(literal 1/2 binary64) |
(exp.f64 (neg.f64 im)) |
(neg.f64 im) |
im |
(*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (exp.f64 im) #s(literal 1/2 binary64)) |
(exp.f64 im) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
(*.f64 (cosh.f64 im) (sin.f64 re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
(sin.f64 re) |
re |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) |
#s(literal 1 binary64) |
(*.f64 (cosh.f64 im) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (cosh.f64 im)) |
(cosh.f64 im) |
im |
#s(literal 2 binary64) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
#s(literal 1/2 binary64) |
(sin.f64 re) |
re |
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
#s(literal 1/2 binary64) |
(sin.f64 re) |
re |
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 im im #s(literal 2 binary64)) |
im |
#s(literal 2 binary64) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) |
(*.f64 (cosh.f64 im) (sin.f64 re)) |
(*.f64 #s(literal 1 binary64) (cosh.f64 im)) |
(cosh.f64 im) |
#s(literal 1 binary64) |
(cosh.f64 im) |
im |
(sin.f64 re) |
re |
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) |
(*.f64 (cosh.f64 im) (sin.f64 re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
(sin.f64 re) |
re |
#s(literal 1/2 binary64) |
(exp.f64 (neg.f64 im)) |
(neg.f64 im) |
im |
(*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (exp.f64 im) #s(literal 1/2 binary64)) |
(exp.f64 im) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 im) | |
| accuracy | 0 | (exp.f64 (neg.f64 im)) | |
| accuracy | 0 | (exp.f64 im) | |
| accuracy | 0.0234375 | (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) | |
| accuracy | 0 | (*.f64 #s(literal 1 binary64) (cosh.f64 im)) | |
| accuracy | 0 | (sin.f64 re) | |
| accuracy | 0 | (cosh.f64 im) | |
| accuracy | 0.0078125 | (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) | |
| accuracy | 0 | (sin.f64 re) | |
| accuracy | 0.0078125 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| accuracy | 0.985178449072206 | #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) | |
| accuracy | 0 | (sin.f64 re) | |
| accuracy | 0.0078125 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) | |
| accuracy | 1.0847028156737462 | #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) | |
| accuracy | 0 | (*.f64 (cosh.f64 im) #s(literal 2 binary64)) | |
| accuracy | 0 | (sin.f64 re) | |
| accuracy | 0 | (cosh.f64 im) | |
| accuracy | 0.00390625 | (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
| 318.0ms | 125× | 5 | exit |
| 41.0ms | 131× | 0 | valid |
Compiled 328 to 60 computations (81.7% saved)
ival-sin: 87.0ms (30.7% of total)ival-add: 68.0ms (24% of total)ival-mult: 65.0ms (23% of total)adjust: 36.0ms (12.7% of total)ival-exp: 18.0ms (6.4% of total)ival-div: 4.0ms (1.4% of total)ival-cosh: 3.0ms (1.1% of total)ival-sub: 1.0ms (0.4% of total)ival-neg: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(sin.f64 re) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(*.f64 #s(literal 1 binary64) (cosh.f64 im)) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) |
(cosh.f64 im) |
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) |
(exp.f64 (neg.f64 im)) |
(*.f64 (cosh.f64 im) #s(literal 2 binary64)) |
(*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) |
(exp.f64 im) |
(neg.f64 im) |
| Outputs |
|---|
(* 1/2 (* re (+ (exp im) (/ 1 (exp im))))) |
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))) |
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))) |
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im)))))))))) |
(* 1/2 re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
re |
(* re (+ 1 (* -1/6 (pow re 2)))) |
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) |
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6)))) |
(* 1/2 (* re (+ (exp im) (exp (neg im))))) |
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im))))))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im)))))))))) |
(* re (+ (* 1/2 (exp im)) (* 1/2 (exp (neg im))))) |
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (* -1/12 (exp (neg im)))))))) |
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (+ (* -1/12 (exp (neg im))) (* (pow re 2) (+ (* 1/240 (exp im)) (* 1/240 (exp (neg im))))))))))) |
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (+ (* -1/12 (exp (neg im))) (* (pow re 2) (+ (* 1/240 (exp im)) (+ (* 1/240 (exp (neg im))) (* (pow re 2) (+ (* -1/10080 (exp im)) (* -1/10080 (exp (neg im)))))))))))))) |
(* 1/2 (* re (exp im))) |
(* re (+ (* -1/12 (* (pow re 2) (exp im))) (* 1/2 (exp im)))) |
(* re (+ (* 1/2 (exp im)) (* (pow re 2) (+ (* -1/12 (exp im)) (* 1/240 (* (pow re 2) (exp im))))))) |
(* re (+ (* 1/2 (exp im)) (* (pow re 2) (+ (* -1/12 (exp im)) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (exp im))) (* 1/240 (exp im)))))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (sin re)) |
(sin re) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) |
(* 1/2 (* (exp im) (sin re))) |
(+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) |
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re))))) |
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re))))))) |
1/2 |
(+ 1/2 (* -1/4 (pow im 2))) |
(+ 1/2 (* (pow im 2) (- (* 5/48 (pow im 2)) 1/4))) |
(+ 1/2 (* (pow im 2) (- (* (pow im 2) (+ 5/48 (* -61/1440 (pow im 2)))) 1/4))) |
2 |
(+ 2 (pow im 2)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
1 |
(+ 1 (* 1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) |
(+ (sin re) (* im (+ (* -1/2 (sin re)) (* 1/2 (sin re))))) |
(+ (sin re) (* im (+ (* -1/2 (sin re)) (+ (* 1/2 (sin re)) (* 1/2 (* im (sin re))))))) |
(+ (sin re) (* im (+ (* -1/2 (sin re)) (+ (* 1/2 (sin re)) (* im (+ (* 1/2 (sin re)) (* im (+ (* -1/12 (sin re)) (* 1/12 (sin re)))))))))) |
(+ 1 (* -1 im)) |
(+ 1 (* im (- (* 1/2 im) 1))) |
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) |
(+ (* 1/2 (sin re)) (* 1/2 (* im (sin re)))) |
(+ (* 1/2 (sin re)) (* im (+ (* 1/4 (* im (sin re))) (* 1/2 (sin re))))) |
(+ (* 1/2 (sin re)) (* im (+ (* 1/2 (sin re)) (* im (+ (* 1/12 (* im (sin re))) (* 1/4 (sin re))))))) |
(+ 1 im) |
(+ 1 (* im (+ 1 (* 1/2 im)))) |
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) |
(* -1 im) |
(/ 1 (+ (exp im) (/ 1 (exp im)))) |
(+ (exp im) (exp (neg im))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(exp (neg im)) |
(+ (exp im) (/ 1 (exp im))) |
(exp im) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(+ (exp im) (exp (* -1 im))) |
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re)))) |
(exp (* -1 im)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | im | @ | -inf | ((/ (* (sin re) 1/2) (/ 1 (* (cosh im) 2))) (/ 1 (* (cosh im) 2)) (* (sin re) 1/2) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (exp (neg im)) (* (cosh im) 2) (* (* (exp im) 1/2) (sin re)) (exp im) (neg im)) |
| 4.0ms | im | @ | inf | ((/ (* (sin re) 1/2) (/ 1 (* (cosh im) 2))) (/ 1 (* (cosh im) 2)) (* (sin re) 1/2) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (exp (neg im)) (* (cosh im) 2) (* (* (exp im) 1/2) (sin re)) (exp im) (neg im)) |
| 3.0ms | re | @ | 0 | ((/ (* (sin re) 1/2) (/ 1 (* (cosh im) 2))) (/ 1 (* (cosh im) 2)) (* (sin re) 1/2) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (exp (neg im)) (* (cosh im) 2) (* (* (exp im) 1/2) (sin re)) (exp im) (neg im)) |
| 2.0ms | re | @ | inf | ((/ (* (sin re) 1/2) (/ 1 (* (cosh im) 2))) (/ 1 (* (cosh im) 2)) (* (sin re) 1/2) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (exp (neg im)) (* (cosh im) 2) (* (* (exp im) 1/2) (sin re)) (exp im) (neg im)) |
| 2.0ms | re | @ | -inf | ((/ (* (sin re) 1/2) (/ 1 (* (cosh im) 2))) (/ 1 (* (cosh im) 2)) (* (sin re) 1/2) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (exp (neg im)) (* (cosh im) 2) (* (* (exp im) 1/2) (sin re)) (exp im) (neg im)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 276 | 943 |
| 1 | 903 | 844 |
| 2 | 2519 | 817 |
| 3 | 4684 | 786 |
| 4 | 5134 | 786 |
| 5 | 5431 | 786 |
| 6 | 5883 | 786 |
| 7 | 7141 | 786 |
| 0 | 8139 | 708 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (* re (+ (exp im) (/ 1 (exp im))))) |
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))) |
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))) |
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im)))))))))) |
(* 1/2 re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
re |
(* re (+ 1 (* -1/6 (pow re 2)))) |
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) |
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6)))) |
(* 1/2 (* re (+ (exp im) (exp (neg im))))) |
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im))))))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im)))))))))) |
(* re (+ (* 1/2 (exp im)) (* 1/2 (exp (neg im))))) |
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (* -1/12 (exp (neg im)))))))) |
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (+ (* -1/12 (exp (neg im))) (* (pow re 2) (+ (* 1/240 (exp im)) (* 1/240 (exp (neg im))))))))))) |
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (+ (* -1/12 (exp (neg im))) (* (pow re 2) (+ (* 1/240 (exp im)) (+ (* 1/240 (exp (neg im))) (* (pow re 2) (+ (* -1/10080 (exp im)) (* -1/10080 (exp (neg im)))))))))))))) |
(* 1/2 (* re (exp im))) |
(* re (+ (* -1/12 (* (pow re 2) (exp im))) (* 1/2 (exp im)))) |
(* re (+ (* 1/2 (exp im)) (* (pow re 2) (+ (* -1/12 (exp im)) (* 1/240 (* (pow re 2) (exp im))))))) |
(* re (+ (* 1/2 (exp im)) (* (pow re 2) (+ (* -1/12 (exp im)) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (exp im))) (* 1/240 (exp im)))))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (sin re)) |
(sin re) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) |
(* 1/2 (* (exp im) (sin re))) |
(+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) |
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re))))) |
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re))))))) |
1/2 |
(+ 1/2 (* -1/4 (pow im 2))) |
(+ 1/2 (* (pow im 2) (- (* 5/48 (pow im 2)) 1/4))) |
(+ 1/2 (* (pow im 2) (- (* (pow im 2) (+ 5/48 (* -61/1440 (pow im 2)))) 1/4))) |
2 |
(+ 2 (pow im 2)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
1 |
(+ 1 (* 1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) |
(+ (sin re) (* im (+ (* -1/2 (sin re)) (* 1/2 (sin re))))) |
(+ (sin re) (* im (+ (* -1/2 (sin re)) (+ (* 1/2 (sin re)) (* 1/2 (* im (sin re))))))) |
(+ (sin re) (* im (+ (* -1/2 (sin re)) (+ (* 1/2 (sin re)) (* im (+ (* 1/2 (sin re)) (* im (+ (* -1/12 (sin re)) (* 1/12 (sin re)))))))))) |
(+ 1 (* -1 im)) |
(+ 1 (* im (- (* 1/2 im) 1))) |
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) |
(+ (* 1/2 (sin re)) (* 1/2 (* im (sin re)))) |
(+ (* 1/2 (sin re)) (* im (+ (* 1/4 (* im (sin re))) (* 1/2 (sin re))))) |
(+ (* 1/2 (sin re)) (* im (+ (* 1/2 (sin re)) (* im (+ (* 1/12 (* im (sin re))) (* 1/4 (sin re))))))) |
(+ 1 im) |
(+ 1 (* im (+ 1 (* 1/2 im)))) |
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) |
(* -1 im) |
(/ 1 (+ (exp im) (/ 1 (exp im)))) |
(+ (exp im) (exp (neg im))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(exp (neg im)) |
(+ (exp im) (/ 1 (exp im))) |
(exp im) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(+ (exp im) (exp (* -1 im))) |
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re)))) |
(exp (* -1 im)) |
| Outputs |
|---|
(* 1/2 (* re (+ (exp im) (/ 1 (exp im))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) re) |
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re) |
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re) |
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im)))))))))) |
(*.f64 (fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 re re) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) re) |
(* 1/2 re) |
(*.f64 #s(literal 1/2 binary64) re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
re |
(* re (+ 1 (* -1/6 (pow re 2)))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re) |
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re) |
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6)))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re) |
(* 1/2 (* re (+ (exp im) (exp (neg im))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) re) |
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im))))))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im)))))))))) |
(*.f64 (fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 re re) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) re) |
(* re (+ (* 1/2 (exp im)) (* 1/2 (exp (neg im))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) re) |
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (* -1/12 (exp (neg im)))))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re) |
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (+ (* -1/12 (exp (neg im))) (* (pow re 2) (+ (* 1/240 (exp im)) (* 1/240 (exp (neg im))))))))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re) |
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (+ (* -1/12 (exp (neg im))) (* (pow re 2) (+ (* 1/240 (exp im)) (+ (* 1/240 (exp (neg im))) (* (pow re 2) (+ (* -1/10080 (exp im)) (* -1/10080 (exp (neg im)))))))))))))) |
(*.f64 (fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 re re) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) re) |
(* 1/2 (* re (exp im))) |
(*.f64 (*.f64 (exp.f64 im) re) #s(literal 1/2 binary64)) |
(* re (+ (* -1/12 (* (pow re 2) (exp im))) (* 1/2 (exp im)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (exp.f64 im)) re) |
(* re (+ (* 1/2 (exp im)) (* (pow re 2) (+ (* -1/12 (exp im)) (* 1/240 (* (pow re 2) (exp im))))))) |
(*.f64 (*.f64 (exp.f64 im) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re) |
(* re (+ (* 1/2 (exp im)) (* (pow re 2) (+ (* -1/12 (exp im)) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (exp im))) (* 1/240 (exp im)))))))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (exp.f64 im) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (*.f64 (exp.f64 im) re) #s(literal 1/2 binary64))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (sin re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(sin re) |
(sin.f64 re) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (* (exp im) (sin re))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) |
(+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) |
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re)) |
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re))))) |
(*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re))))))) |
(fma.f64 (*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (sin.f64 re)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 (pow im 2))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 im im) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow im 2) (- (* 5/48 (pow im 2)) 1/4))) |
(fma.f64 (fma.f64 #s(literal 5/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow im 2) (- (* (pow im 2) (+ 5/48 (* -61/1440 (pow im 2)))) 1/4))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/1440 binary64) (*.f64 im im) #s(literal 5/48 binary64)) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (pow im 2)) |
(fma.f64 im im #s(literal 2 binary64)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow im 2))) |
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(+ (sin re) (* im (+ (* -1/2 (sin re)) (* 1/2 (sin re))))) |
(sin.f64 re) |
(+ (sin re) (* im (+ (* -1/2 (sin re)) (+ (* 1/2 (sin re)) (* 1/2 (* im (sin re))))))) |
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re)) |
(+ (sin re) (* im (+ (* -1/2 (sin re)) (+ (* 1/2 (sin re)) (* im (+ (* 1/2 (sin re)) (* im (+ (* -1/12 (sin re)) (* 1/12 (sin re)))))))))) |
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re)) |
(+ 1 (* -1 im)) |
(-.f64 #s(literal 1 binary64) im) |
(+ 1 (* im (- (* 1/2 im) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal -1 binary64)) im #s(literal 1 binary64)) |
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal -1 binary64)) im #s(literal 1 binary64)) |
(+ (* 1/2 (sin re)) (* 1/2 (* im (sin re)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1/2 binary64)) (sin.f64 re)) |
(+ (* 1/2 (sin re)) (* im (+ (* 1/4 (* im (sin re))) (* 1/2 (sin re))))) |
(*.f64 (sin.f64 re) (fma.f64 im (fma.f64 #s(literal 1/4 binary64) im #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (sin re)) (* im (+ (* 1/2 (sin re)) (* im (+ (* 1/12 (* im (sin re))) (* 1/4 (sin re))))))) |
(fma.f64 (*.f64 (sin.f64 re) (fma.f64 im (fma.f64 #s(literal 1/12 binary64) im #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) im (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) |
(+ 1 im) |
(-.f64 im #s(literal -1 binary64)) |
(+ 1 (* im (+ 1 (* 1/2 im)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64)) |
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64)) |
(* -1 im) |
(neg.f64 im) |
(/ 1 (+ (exp im) (/ 1 (exp im)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(+ (exp im) (exp (neg im))) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(exp (neg im)) |
(exp.f64 (neg.f64 im)) |
(+ (exp im) (/ 1 (exp im))) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(exp im) |
(exp.f64 im) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(+ (exp im) (exp (* -1 im))) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re)))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(exp (* -1 im)) |
(exp.f64 (neg.f64 im)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 125 |
| 0 | 50 | 119 |
| 1 | 160 | 103 |
| 2 | 908 | 91 |
| 0 | 8910 | 91 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(sin.f64 re) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(*.f64 #s(literal 1 binary64) (cosh.f64 im)) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) |
(cosh.f64 im) |
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) |
(exp.f64 (neg.f64 im)) |
(*.f64 (cosh.f64 im) #s(literal 2 binary64)) |
(*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) |
(exp.f64 im) |
(neg.f64 im) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re)) (neg.f64 (cosh.f64 im))) #s(literal 2 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re)) #s(literal -2 binary64)) (cosh.f64 im)) |
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re)) #s(literal 2 binary64)) (neg.f64 (cosh.f64 im))) |
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re)) (cosh.f64 im)) #s(literal -2 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) (/.f64 (sin.f64 re) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (sin.f64 re) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))))) (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (exp.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 im)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (cosh.f64 im) #s(literal -1 binary64)) (sin.f64 re)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (cosh.f64 im) #s(literal -1 binary64)) (sin.f64 re)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 1/2 binary64)) (cosh.f64 im)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))) (/.f64 (sin.f64 re) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 re)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (cosh.f64 im)))) |
(*.f64 (/.f64 (sin.f64 re) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cosh.f64 im))) |
(*.f64 (/.f64 (sin.f64 re) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)))) |
(*.f64 (/.f64 (sin.f64 re) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (cosh.f64 im)))) |
(*.f64 (/.f64 (*.f64 (cosh.f64 im) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) |
(*.f64 (/.f64 (*.f64 (cosh.f64 im) (sin.f64 re)) (sin.f64 re)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) (pow.f64 (+.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 re))) (*.f64 #s(literal -2 binary64) (cosh.f64 im))) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 re) #s(literal -1 binary64)) #s(literal -1 binary64)) (cosh.f64 im)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cosh.f64 im)) (*.f64 #s(literal 2 binary64) (sin.f64 re))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cosh.f64 im)) (/.f64 (sin.f64 re) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (cosh.f64 im) (/.f64 (sin.f64 re) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(*.f64 (neg.f64 (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 im)))) |
(*.f64 (*.f64 (*.f64 (cosh.f64 im) (sin.f64 re)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 #s(literal 2 binary64) (sinh.f64 im))))) |
(*.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 re) (*.f64 #s(literal -2 binary64) (cosh.f64 im)))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 im)) (sin.f64 re))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (sin.f64 re)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 re) (/.f64 #s(literal -1/2 binary64) (cosh.f64 im)))) |
(*.f64 (*.f64 (*.f64 (cosh.f64 im) (sin.f64 re)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) |
(*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (sin.f64 re) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (exp.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 im)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (exp.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 im)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 2 binary64))) (*.f64 (*.f64 (cosh.f64 im) (sin.f64 re)) (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (exp.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 im)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (sin.f64 re) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (*.f64 (sin.f64 re) (exp.f64 im)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 re) #s(literal 2 binary64))))))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (sin.f64 re) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (exp.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 im)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (*.f64 (pow.f64 (+.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re)) (*.f64 #s(literal -2 binary64) (cosh.f64 im))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 re) (neg.f64 (cosh.f64 im)))) |
(*.f64 (*.f64 (cosh.f64 im) (sin.f64 re)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (cosh.f64 im) (sin.f64 re)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) |
(*.f64 (cosh.f64 im) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) |
(*.f64 (cosh.f64 im) (sin.f64 re)) |
(*.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) (sin.f64 re))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (sin.f64 re)) (*.f64 #s(literal -2 binary64) (cosh.f64 im)))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) (sin.f64 re)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 re) #s(literal 2 binary64)) (cosh.f64 im))) |
(*.f64 (sin.f64 re) (cosh.f64 im)) |
(pow.f64 (/.f64 (pow.f64 (cosh.f64 im) #s(literal -1 binary64)) (sin.f64 re)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 re) #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (exp.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 im)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (sin.f64 re) #s(literal 3 binary64))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 9 binary64)) (pow.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 9 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (exp.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 im)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 6 binary64))) (pow.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 re) #s(literal 2 binary64))) #s(literal 3 binary64)))) |
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(fma.f64 (*.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im)) #s(literal 0 binary64)) |
(fma.f64 im (log.f64 (exp.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) |
(fma.f64 im #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 im) #s(literal 0 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))) |
Compiled 16 120 to 1 965 computations (87.8% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 743 | 10 | 753 |
| Fresh | 0 | 0 | 0 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 747 | 11 | 758 |
| Status | Accuracy | Program |
|---|---|---|
| 68.1% | (/.f64 #s(approx (* (sin re) 1/2) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) | |
| 65.4% | (/.f64 #s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) | |
| ✓ | 74.1% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| ▶ | 38.8% | (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
| ▶ | 37.5% | (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
| ▶ | 51.8% | (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| 37.4% | (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) | |
| ▶ | 91.4% | (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
| 85.5% | (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) | |
| 89.2% | #s(approx (/ (* (sin re) 1/2) (/ 1 (* (cosh im) 2))) (fma.f64 (*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (sin.f64 re))) | |
| ▶ | 50.8% | #s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) |
Compiled 479 to 368 computations (23.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re) | |
| cost-diff | 0 | #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re) | |
| cost-diff | 0 | #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re) | |
| cost-diff | 0 | #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| cost-diff | 0 | (sin.f64 re) | |
| cost-diff | 0 | #s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 406 |
| 0 | 86 | 396 |
| 1 | 164 | 391 |
| 2 | 335 | 391 |
| 3 | 701 | 385 |
| 4 | 1293 | 385 |
| 5 | 1767 | 385 |
| 6 | 2012 | 385 |
| 7 | 2189 | 385 |
| 8 | 2201 | 385 |
| 9 | 2214 | 385 |
| 10 | 2237 | 385 |
| 11 | 2237 | 385 |
| 0 | 2237 | 385 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 im im) |
im |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(sin.f64 re) |
re |
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) |
(sin.f64 re) |
re |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))) |
#s(literal 1/2 binary64) |
#s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re) |
(pow.f64 re #s(literal 3 binary64)) |
re |
#s(literal 3 binary64) |
#s(literal -1/6 binary64) |
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 im im #s(literal 2 binary64)) |
im |
#s(literal 2 binary64) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re))) |
#s(literal 1/2 binary64) |
#s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re)) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re) |
(pow.f64 re #s(literal 3 binary64)) |
re |
#s(literal 3 binary64) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 re re) |
#s(literal -1/6 binary64) |
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re))) |
#s(literal 1/2 binary64) |
#s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re)) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re) |
(pow.f64 re #s(literal 3 binary64)) |
re |
#s(literal 3 binary64) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
(*.f64 re re) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(*.f64 (sin.f64 re) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 im im) |
im |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(sin.f64 re) |
re |
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) |
(sin.f64 re) |
re |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (*.f64 #s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 3 binary64)) re)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))) |
(*.f64 #s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 3 binary64)) re)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)) |
#s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 3 binary64)) re)) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 3 binary64)) re) |
(pow.f64 re #s(literal 3 binary64)) |
re |
#s(literal 3 binary64) |
#s(literal -1/6 binary64) |
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 im im #s(literal 2 binary64)) |
im |
#s(literal 2 binary64) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(approx (sin re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64)) re))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re))) |
(*.f64 #s(approx (sin re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64)) re)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re)) |
#s(approx (sin re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64)) re)) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re) |
(fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64)) re) |
(pow.f64 re #s(literal 3 binary64)) |
re |
#s(literal 3 binary64) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 re re) |
#s(literal -1/6 binary64) |
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(approx (sin re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64)) re))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re))) |
(*.f64 #s(approx (sin re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64)) re)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re)) |
#s(approx (sin re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64)) re)) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64)) re) |
(pow.f64 re #s(literal 3 binary64)) |
re |
#s(literal 3 binary64) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
(*.f64 re re) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.04296875 | (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) | |
| accuracy | 0.0546875 | (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) | |
| accuracy | 28.41133605136439 | #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re)) | |
| accuracy | 31.357452048947888 | #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) | |
| accuracy | 0.046875 | (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re) | |
| accuracy | 0.07846665172363414 | (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) | |
| accuracy | 28.595991579540723 | #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re)) | |
| accuracy | 31.357452048947888 | #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) | |
| accuracy | 0.0078125 | (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| accuracy | 0.07421875 | (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re) | |
| accuracy | 16.377973795889588 | #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) | |
| accuracy | 28.489614312600864 | #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)) | |
| accuracy | 0 | (sin.f64 re) | |
| accuracy | 31.509833875052568 | #s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) | |
| accuracy | 0.037441259768442016 | (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) | |
| accuracy | 0.0390625 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) | |
| accuracy | 0.0859375 | (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) | |
| accuracy | 5.423245269523658 | #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
| 104.0ms | 256× | 0 | valid |
Compiled 668 to 109 computations (83.7% saved)
ival-mult: 29.0ms (36.3% of total)const: 17.0ms (21.3% of total)ival-add: 13.0ms (16.3% of total)ival-sin: 7.0ms (8.8% of total)ival-exp: 5.0ms (6.3% of total)ival-cosh: 3.0ms (3.8% of total)ival-pow: 3.0ms (3.8% of total)ival-sub: 1.0ms (1.3% of total)exact: 1.0ms (1.3% of total)ival-neg: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) |
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) |
(sin.f64 re) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))) |
#s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re))) |
#s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re)) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re))) |
#s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re)) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) |
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) |
| Outputs |
|---|
(* 1/2 (* re (+ (exp im) (/ 1 (exp im))))) |
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))) |
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))) |
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im)))))))))) |
(* re (+ (* 1/2 (exp im)) (* 1/2 (exp (neg im))))) |
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (* -1/12 (exp (neg im)))))))) |
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (+ (* -1/12 (exp (neg im))) (* (pow re 2) (+ (* 1/240 (exp im)) (* 1/240 (exp (neg im))))))))))) |
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (+ (* -1/12 (exp (neg im))) (* (pow re 2) (+ (* 1/240 (exp im)) (+ (* 1/240 (exp (neg im))) (* (pow re 2) (+ (* -1/10080 (exp im)) (* -1/10080 (exp (neg im)))))))))))))) |
re |
(* re (+ 1 (* -1/6 (pow re 2)))) |
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) |
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6)))) |
(* 1/2 (* re (+ (exp im) (exp (neg im))))) |
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im))))))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im)))))))))) |
(* 1/2 re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
-1/6 |
(- (* 1/120 (pow re 2)) 1/6) |
1/120 |
(+ 1/120 (* -1/5040 (pow re 2))) |
(- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) |
(sin re) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (sin re)) |
(* -1/6 (pow re 3)) |
(* (pow re 3) (- (/ 1 (pow re 2)) 1/6)) |
(* 1/120 (pow re 5)) |
(* (pow re 5) (- 1/120 (* 1/6 (/ 1 (pow re 2))))) |
(* (pow re 5) (- (+ 1/120 (/ 1 (pow re 4))) (* 1/6 (/ 1 (pow re 2))))) |
(* -1/5040 (pow re 7)) |
(* (pow re 7) (- (* 1/120 (/ 1 (pow re 2))) 1/5040)) |
(* (pow re 7) (- (* 1/120 (/ 1 (pow re 2))) (+ 1/5040 (/ 1/6 (pow re 4))))) |
(* (pow re 7) (- (+ (* 1/120 (/ 1 (pow re 2))) (/ 1 (pow re 6))) (+ 1/5040 (/ 1/6 (pow re 4))))) |
(* 1/120 (pow re 2)) |
(* (pow re 2) (- 1/120 (* 1/6 (/ 1 (pow re 2))))) |
(* -1/5040 (pow re 2)) |
(* (pow re 2) (- (* 1/120 (/ 1 (pow re 2))) 1/5040)) |
(* -1/5040 (pow re 4)) |
(* (pow re 4) (- (* 1/120 (/ 1 (pow re 2))) 1/5040)) |
(* (pow re 4) (- (* 1/120 (/ 1 (pow re 2))) (+ 1/5040 (/ 1/6 (pow re 4))))) |
(* -1 (* (pow re 3) (- 1/6 (/ 1 (pow re 2))))) |
(* -1 (* (pow re 5) (- (* 1/6 (/ 1 (pow re 2))) 1/120))) |
(* -1 (* (pow re 5) (- (* 1/6 (/ 1 (pow re 2))) (+ 1/120 (/ 1 (pow re 4)))))) |
(* -1 (* (pow re 7) (- 1/5040 (* 1/120 (/ 1 (pow re 2)))))) |
(* -1 (* (pow re 7) (- (+ 1/5040 (/ 1/6 (pow re 4))) (* 1/120 (/ 1 (pow re 2)))))) |
(* -1 (* (pow re 7) (- (+ 1/5040 (/ 1/6 (pow re 4))) (+ (* 1/120 (/ 1 (pow re 2))) (/ 1 (pow re 6)))))) |
(+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) |
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re))))) |
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re))))))) |
1 |
(+ 1 (* 1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) |
1/2 |
(+ 1/2 (* 1/24 (pow im 2))) |
(+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))) |
(+ (sin re) (* im (+ (* -1/2 (sin re)) (* 1/2 (sin re))))) |
(+ (sin re) (* im (+ (* -1/2 (sin re)) (+ (* 1/2 (sin re)) (* 1/2 (* im (sin re))))))) |
(+ (sin re) (* im (+ (* -1/2 (sin re)) (+ (* 1/2 (sin re)) (* im (+ (* 1/2 (sin re)) (* im (+ (* -1/12 (sin re)) (* 1/12 (sin re)))))))))) |
1/24 |
(+ 1/24 (* 1/720 (pow im 2))) |
2 |
(+ 2 (pow im 2)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(* 1/720 (pow im 6)) |
(* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))) |
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6)))))) |
(* 1/720 (pow im 4)) |
(* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))) |
(* 1/720 (pow im 2)) |
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(+ (exp im) (exp (neg im))) |
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re)))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(+ (exp im) (exp (* -1 im))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | im | @ | -inf | ((* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (* (pow re 3) -1/6) re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (* (pow re 3) (+ (* 1/120 (* re re)) -1/6)) re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (* (pow re 3) (+ (* (+ (* -1/5040 (* re re)) 1/120) (* re re)) -1/6)) re) (+ (* 1/720 (* im im)) 1/24) (+ (exp (- 0 im)) (exp im)) (+ (exp (- 0 im)) (exp im)) (+ (* 1/120 (* re re)) -1/6) (+ (* -1/5040 (* re re)) 1/120) (+ (* (+ (* -1/5040 (* re re)) 1/120) (* re re)) -1/6)) |
| 4.0ms | re | @ | inf | ((* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (* (pow re 3) -1/6) re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (* (pow re 3) (+ (* 1/120 (* re re)) -1/6)) re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (* (pow re 3) (+ (* (+ (* -1/5040 (* re re)) 1/120) (* re re)) -1/6)) re) (+ (* 1/720 (* im im)) 1/24) (+ (exp (- 0 im)) (exp im)) (+ (exp (- 0 im)) (exp im)) (+ (* 1/120 (* re re)) -1/6) (+ (* -1/5040 (* re re)) 1/120) (+ (* (+ (* -1/5040 (* re re)) 1/120) (* re re)) -1/6)) |
| 3.0ms | re | @ | -inf | ((* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (* (pow re 3) -1/6) re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (* (pow re 3) (+ (* 1/120 (* re re)) -1/6)) re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (* (pow re 3) (+ (* (+ (* -1/5040 (* re re)) 1/120) (* re re)) -1/6)) re) (+ (* 1/720 (* im im)) 1/24) (+ (exp (- 0 im)) (exp im)) (+ (exp (- 0 im)) (exp im)) (+ (* 1/120 (* re re)) -1/6) (+ (* -1/5040 (* re re)) 1/120) (+ (* (+ (* -1/5040 (* re re)) 1/120) (* re re)) -1/6)) |
| 3.0ms | im | @ | inf | ((* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (* (pow re 3) -1/6) re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (* (pow re 3) (+ (* 1/120 (* re re)) -1/6)) re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (* (pow re 3) (+ (* (+ (* -1/5040 (* re re)) 1/120) (* re re)) -1/6)) re) (+ (* 1/720 (* im im)) 1/24) (+ (exp (- 0 im)) (exp im)) (+ (exp (- 0 im)) (exp im)) (+ (* 1/120 (* re re)) -1/6) (+ (* -1/5040 (* re re)) 1/120) (+ (* (+ (* -1/5040 (* re re)) 1/120) (* re re)) -1/6)) |
| 2.0ms | re | @ | 0 | ((* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (* (pow re 3) -1/6) re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (* (pow re 3) (+ (* 1/120 (* re re)) -1/6)) re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (* (pow re 3) (+ (* (+ (* -1/5040 (* re re)) 1/120) (* re re)) -1/6)) re) (+ (* 1/720 (* im im)) 1/24) (+ (exp (- 0 im)) (exp im)) (+ (exp (- 0 im)) (exp im)) (+ (* 1/120 (* re re)) -1/6) (+ (* -1/5040 (* re re)) 1/120) (+ (* (+ (* -1/5040 (* re re)) 1/120) (* re re)) -1/6)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 287 | 1098 |
| 1 | 924 | 1007 |
| 2 | 2644 | 985 |
| 3 | 5362 | 962 |
| 4 | 7615 | 962 |
| 0 | 8119 | 896 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (* re (+ (exp im) (/ 1 (exp im))))) |
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))) |
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))) |
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im)))))))))) |
(* re (+ (* 1/2 (exp im)) (* 1/2 (exp (neg im))))) |
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (* -1/12 (exp (neg im)))))))) |
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (+ (* -1/12 (exp (neg im))) (* (pow re 2) (+ (* 1/240 (exp im)) (* 1/240 (exp (neg im))))))))))) |
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (+ (* -1/12 (exp (neg im))) (* (pow re 2) (+ (* 1/240 (exp im)) (+ (* 1/240 (exp (neg im))) (* (pow re 2) (+ (* -1/10080 (exp im)) (* -1/10080 (exp (neg im)))))))))))))) |
re |
(* re (+ 1 (* -1/6 (pow re 2)))) |
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) |
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6)))) |
(* 1/2 (* re (+ (exp im) (exp (neg im))))) |
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im))))))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im)))))))))) |
(* 1/2 re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
-1/6 |
(- (* 1/120 (pow re 2)) 1/6) |
1/120 |
(+ 1/120 (* -1/5040 (pow re 2))) |
(- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) |
(sin re) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (sin re)) |
(* -1/6 (pow re 3)) |
(* (pow re 3) (- (/ 1 (pow re 2)) 1/6)) |
(* 1/120 (pow re 5)) |
(* (pow re 5) (- 1/120 (* 1/6 (/ 1 (pow re 2))))) |
(* (pow re 5) (- (+ 1/120 (/ 1 (pow re 4))) (* 1/6 (/ 1 (pow re 2))))) |
(* -1/5040 (pow re 7)) |
(* (pow re 7) (- (* 1/120 (/ 1 (pow re 2))) 1/5040)) |
(* (pow re 7) (- (* 1/120 (/ 1 (pow re 2))) (+ 1/5040 (/ 1/6 (pow re 4))))) |
(* (pow re 7) (- (+ (* 1/120 (/ 1 (pow re 2))) (/ 1 (pow re 6))) (+ 1/5040 (/ 1/6 (pow re 4))))) |
(* 1/120 (pow re 2)) |
(* (pow re 2) (- 1/120 (* 1/6 (/ 1 (pow re 2))))) |
(* -1/5040 (pow re 2)) |
(* (pow re 2) (- (* 1/120 (/ 1 (pow re 2))) 1/5040)) |
(* -1/5040 (pow re 4)) |
(* (pow re 4) (- (* 1/120 (/ 1 (pow re 2))) 1/5040)) |
(* (pow re 4) (- (* 1/120 (/ 1 (pow re 2))) (+ 1/5040 (/ 1/6 (pow re 4))))) |
(* -1 (* (pow re 3) (- 1/6 (/ 1 (pow re 2))))) |
(* -1 (* (pow re 5) (- (* 1/6 (/ 1 (pow re 2))) 1/120))) |
(* -1 (* (pow re 5) (- (* 1/6 (/ 1 (pow re 2))) (+ 1/120 (/ 1 (pow re 4)))))) |
(* -1 (* (pow re 7) (- 1/5040 (* 1/120 (/ 1 (pow re 2)))))) |
(* -1 (* (pow re 7) (- (+ 1/5040 (/ 1/6 (pow re 4))) (* 1/120 (/ 1 (pow re 2)))))) |
(* -1 (* (pow re 7) (- (+ 1/5040 (/ 1/6 (pow re 4))) (+ (* 1/120 (/ 1 (pow re 2))) (/ 1 (pow re 6)))))) |
(+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) |
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re))))) |
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re))))))) |
1 |
(+ 1 (* 1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) |
1/2 |
(+ 1/2 (* 1/24 (pow im 2))) |
(+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))) |
(+ (sin re) (* im (+ (* -1/2 (sin re)) (* 1/2 (sin re))))) |
(+ (sin re) (* im (+ (* -1/2 (sin re)) (+ (* 1/2 (sin re)) (* 1/2 (* im (sin re))))))) |
(+ (sin re) (* im (+ (* -1/2 (sin re)) (+ (* 1/2 (sin re)) (* im (+ (* 1/2 (sin re)) (* im (+ (* -1/12 (sin re)) (* 1/12 (sin re)))))))))) |
1/24 |
(+ 1/24 (* 1/720 (pow im 2))) |
2 |
(+ 2 (pow im 2)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(* 1/720 (pow im 6)) |
(* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))) |
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6)))))) |
(* 1/720 (pow im 4)) |
(* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))) |
(* 1/720 (pow im 2)) |
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(+ (exp im) (exp (neg im))) |
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re)))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(+ (exp im) (exp (* -1 im))) |
| Outputs |
|---|
(* 1/2 (* re (+ (exp im) (/ 1 (exp im))))) |
(*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) re) |
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re) |
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im)))))))))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) re)) |
(* re (+ (* 1/2 (exp im)) (* 1/2 (exp (neg im))))) |
(*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) re) |
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (* -1/12 (exp (neg im)))))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (+ (* -1/12 (exp (neg im))) (* (pow re 2) (+ (* 1/240 (exp im)) (* 1/240 (exp (neg im))))))))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re) |
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (+ (* -1/12 (exp (neg im))) (* (pow re 2) (+ (* 1/240 (exp im)) (+ (* 1/240 (exp (neg im))) (* (pow re 2) (+ (* -1/10080 (exp im)) (* -1/10080 (exp (neg im)))))))))))))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) re)) |
re |
(* re (+ 1 (* -1/6 (pow re 2)))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re) |
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re) |
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6)))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re) |
(* 1/2 (* re (+ (exp im) (exp (neg im))))) |
(*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) re) |
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im))))))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im)))))))))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) re)) |
(* 1/2 re) |
(*.f64 #s(literal 1/2 binary64) re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/120 (pow re 2)) 1/6) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* -1/5040 (pow re 2))) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) |
(- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) |
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) |
(sin re) |
(sin.f64 re) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) |
(* 1/2 (sin re)) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
(* -1/6 (pow re 3)) |
(*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow re 3) (- (/ 1 (pow re 2)) 1/6)) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re) |
(* 1/120 (pow re 5)) |
(*.f64 (pow.f64 re #s(literal 5 binary64)) #s(literal 1/120 binary64)) |
(* (pow re 5) (- 1/120 (* 1/6 (/ 1 (pow re 2))))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 re re))) (pow.f64 re #s(literal 5 binary64))) |
(* (pow re 5) (- (+ 1/120 (/ 1 (pow re 4))) (* 1/6 (/ 1 (pow re 2))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 re re)) (/.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 4 binary64)))) #s(literal -1/120 binary64)) (pow.f64 re #s(literal 5 binary64))) |
(* -1/5040 (pow re 7)) |
(*.f64 (pow.f64 re #s(literal 7 binary64)) #s(literal -1/5040 binary64)) |
(* (pow re 7) (- (* 1/120 (/ 1 (pow re 2))) 1/5040)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 re re)) #s(literal 1/5040 binary64)) (pow.f64 re #s(literal 7 binary64))) |
(* (pow re 7) (- (* 1/120 (/ 1 (pow re 2))) (+ 1/5040 (/ 1/6 (pow re 4))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 re re)))) (pow.f64 re #s(literal 7 binary64))) |
(* (pow re 7) (- (+ (* 1/120 (/ 1 (pow re 2))) (/ 1 (pow re 6))) (+ 1/5040 (/ 1/6 (pow re 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal -1/120 binary64) (*.f64 re re))) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/5040 binary64))) (pow.f64 re #s(literal 7 binary64))) |
(* 1/120 (pow re 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 re re)) |
(* (pow re 2) (- 1/120 (* 1/6 (/ 1 (pow re 2))))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) |
(* -1/5040 (pow re 2)) |
(*.f64 #s(literal -1/5040 binary64) (*.f64 re re)) |
(* (pow re 2) (- (* 1/120 (/ 1 (pow re 2))) 1/5040)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) |
(* -1/5040 (pow re 4)) |
(*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/5040 binary64)) |
(* (pow re 4) (- (* 1/120 (/ 1 (pow re 2))) 1/5040)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 re re)) #s(literal 1/5040 binary64)) (pow.f64 re #s(literal 4 binary64))) |
(* (pow re 4) (- (* 1/120 (/ 1 (pow re 2))) (+ 1/5040 (/ 1/6 (pow re 4))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 re re)))) (pow.f64 re #s(literal 4 binary64))) |
(* -1 (* (pow re 3) (- 1/6 (/ 1 (pow re 2))))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re) |
(* -1 (* (pow re 5) (- (* 1/6 (/ 1 (pow re 2))) 1/120))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 re re))) (pow.f64 re #s(literal 5 binary64))) |
(* -1 (* (pow re 5) (- (* 1/6 (/ 1 (pow re 2))) (+ 1/120 (/ 1 (pow re 4)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 re re)) (/.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 4 binary64)))) #s(literal -1/120 binary64)) (pow.f64 re #s(literal 5 binary64))) |
(* -1 (* (pow re 7) (- 1/5040 (* 1/120 (/ 1 (pow re 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 re re)) #s(literal 1/5040 binary64)) (pow.f64 re #s(literal 7 binary64))) |
(* -1 (* (pow re 7) (- (+ 1/5040 (/ 1/6 (pow re 4))) (* 1/120 (/ 1 (pow re 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 re re)))) (pow.f64 re #s(literal 7 binary64))) |
(* -1 (* (pow re 7) (- (+ 1/5040 (/ 1/6 (pow re 4))) (+ (* 1/120 (/ 1 (pow re 2))) (/ 1 (pow re 6)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal -1/120 binary64) (*.f64 re re))) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/5040 binary64))) (pow.f64 re #s(literal 7 binary64))) |
(+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) |
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re)) |
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re))))) |
(*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re))))))) |
(fma.f64 (*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (sin.f64 re)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow im 2))) |
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/24 (pow im 2))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) |
(+ (sin re) (* im (+ (* -1/2 (sin re)) (* 1/2 (sin re))))) |
(sin.f64 re) |
(+ (sin re) (* im (+ (* -1/2 (sin re)) (+ (* 1/2 (sin re)) (* 1/2 (* im (sin re))))))) |
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re)) |
(+ (sin re) (* im (+ (* -1/2 (sin re)) (+ (* 1/2 (sin re)) (* im (+ (* 1/2 (sin re)) (* im (+ (* -1/12 (sin re)) (* 1/12 (sin re)))))))))) |
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re)) |
1/24 |
#s(literal 1/24 binary64) |
(+ 1/24 (* 1/720 (pow im 2))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (pow im 2)) |
(fma.f64 im im #s(literal 2 binary64)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) |
(* 1/720 (pow im 6)) |
(*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/720 binary64)) |
(* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 6 binary64))) |
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 im im))) (pow.f64 im #s(literal 6 binary64))) |
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6)))))) |
(fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 im im))) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64)) |
(* 1/720 (pow im 4)) |
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/720 binary64)) |
(* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im) |
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 4 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) |
(* 1/720 (pow im 2)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 im im)) |
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) |
(+ (exp im) (exp (neg im))) |
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) |
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) |
(+ (exp im) (exp (* -1 im))) |
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 347 |
| 0 | 86 | 338 |
| 1 | 332 | 321 |
| 2 | 2262 | 321 |
| 0 | 8247 | 321 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) |
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) |
(sin.f64 re) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))) |
#s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re))) |
#s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re)) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re))) |
#s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re)) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) |
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) |
| Outputs |
|---|
(*.f64 (sin.f64 re) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im)))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/36 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) (*.f64 re #s(literal -1/6 binary64)))) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/216 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) (*.f64 re #s(literal -1/6 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/216 binary64)) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) (*.f64 re #s(literal -1/6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/36 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) (*.f64 re #s(literal -1/6 binary64)))) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/216 binary64)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re #s(literal -1/6 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 re re) (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(fma.f64 re (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) #s(literal -1/6 binary64)) |
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal -1/6 binary64)) |
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re)) |
Compiled 15 935 to 2 096 computations (86.8% saved)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 393 | 10 | 403 |
| Fresh | 2 | 3 | 5 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 0 | 1 |
| Total | 400 | 14 | 414 |
| Status | Accuracy | Program |
|---|---|---|
| 68.1% | (/.f64 #s(approx (* (sin re) 1/2) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) | |
| ▶ | 65.4% | (/.f64 #s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
| 38.8% | (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) | |
| ▶ | 37.5% | (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
| 51.8% | (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| 12.9% | (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) #s(approx (+ (* (pow re 3) -1/6) re) (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| ▶ | 91.4% | (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
| 85.5% | (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) | |
| ▶ | 53.1% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| 51.4% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| 51.8% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| ▶ | 48.8% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| 89.2% | #s(approx (/ (* (sin re) 1/2) (/ 1 (* (cosh im) 2))) (fma.f64 (*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (sin.f64 re))) | |
| ✓ | 50.8% | #s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) |
Compiled 733 to 538 computations (26.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) re) | |
| cost-diff | 0 | #s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) | |
| cost-diff | 0 | #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) | |
| cost-diff | 0 | #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) re re)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) re) | |
| cost-diff | 0 | #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 467 |
| 0 | 89 | 457 |
| 1 | 156 | 453 |
| 2 | 267 | 437 |
| 3 | 617 | 437 |
| 4 | 1294 | 437 |
| 5 | 2662 | 437 |
| 6 | 4577 | 437 |
| 7 | 4589 | 437 |
| 8 | 4589 | 437 |
| 0 | 8077 | 428 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) |
#s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) |
(*.f64 #s(literal 1/720 binary64) (*.f64 im im)) |
#s(literal 1/720 binary64) |
(*.f64 im im) |
im |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(sin.f64 re) |
re |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) |
(*.f64 #s(literal 1/2 binary64) re) |
#s(literal 1/2 binary64) |
re |
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 im im #s(literal 2 binary64)) |
im |
#s(literal 2 binary64) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) |
#s(literal 1/2 binary64) |
#s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) re re)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) re re) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) |
(fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(*.f64 re re) |
re |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) |
(fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) |
#s(literal -1/10080 binary64) |
(*.f64 re re) |
re |
#s(literal 1/240 binary64) |
#s(literal -1/12 binary64) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 im im #s(literal 2 binary64)) |
im |
#s(literal 2 binary64) |
(/.f64 #s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
#s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) |
(*.f64 #s(literal 1/2 binary64) re) |
#s(literal 1/2 binary64) |
re |
(/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(*.f64 (cosh.f64 im) #s(literal 2 binary64)) |
(cosh.f64 im) |
im |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(*.f64 (sin.f64 re) #s(approx (* 1 (cosh im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64))))) |
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
#s(approx (* 1 (cosh im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) |
(fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 im im) #s(literal 1/2 binary64)) |
#s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) |
#s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) |
(*.f64 #s(literal 1/720 binary64) (*.f64 im im)) |
(*.f64 (*.f64 im im) #s(literal 1/720 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 im im) |
im |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(sin.f64 re) |
re |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) |
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) |
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 re #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
re |
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 im im #s(literal 2 binary64)) |
im |
#s(literal 2 binary64) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) |
(*.f64 #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) re re)) |
#s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) re re) |
(fma.f64 (pow.f64 re #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re) re) |
(fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) |
(*.f64 re re) |
re |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) |
(fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) |
#s(literal -1/10080 binary64) |
(*.f64 re re) |
re |
#s(literal 1/240 binary64) |
#s(literal -1/12 binary64) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 im im #s(literal 2 binary64)) |
im |
#s(literal 2 binary64) |
(/.f64 #s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
(/.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 im))) |
#s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) |
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 re #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
re |
(/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) |
#s(literal 1 binary64) |
(*.f64 (cosh.f64 im) #s(literal 2 binary64)) |
(cosh.f64 im) |
im |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) re) | |
| accuracy | 0 | (cosh.f64 im) | |
| accuracy | 0.00390625 | (/.f64 #s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) | |
| accuracy | 13.907368044164805 | #s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) | |
| accuracy | 0.0234375 | (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) | |
| accuracy | 0.02734375 | (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) | |
| accuracy | 0.985178449072206 | #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) | |
| accuracy | 13.810414935870877 | #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) | |
| accuracy | 0.0234375 | (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) | |
| accuracy | 0.07421875 | (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) | |
| accuracy | 1.0847028156737462 | #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) | |
| accuracy | 13.878747123781787 | #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) re re)) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) re) | |
| accuracy | 0.0078125 | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| accuracy | 0.985178449072206 | #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) | |
| accuracy | 13.907368044164805 | #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) | |
| accuracy | 0.0078125 | (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) | |
| accuracy | 0.1171875 | (*.f64 #s(literal 1/720 binary64) (*.f64 im im)) | |
| accuracy | 0.946497809930462 | #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) | |
| accuracy | 30.97369377912089 | #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) |
| 176.0ms | 125× | 5 | exit |
| 51.0ms | 131× | 0 | valid |
Compiled 768 to 111 computations (85.5% saved)
adjust: 48.0ms (29.1% of total)ival-mult: 38.0ms (23% of total)ival-add: 30.0ms (18.2% of total)const: 26.0ms (15.8% of total)ival-exp: 8.0ms (4.8% of total)ival-sin: 6.0ms (3.6% of total)ival-cosh: 4.0ms (2.4% of total)ival-div: 3.0ms (1.8% of total)ival-sub: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) |
#s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) |
(*.f64 #s(literal 1/2 binary64) re) |
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) |
#s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) re re)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) |
(/.f64 #s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
#s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 im im)) |
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) |
(fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) |
(fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) |
(cosh.f64 im) |
| Outputs |
|---|
(* 1/2 (* re (+ (exp im) (/ 1 (exp im))))) |
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))) |
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))) |
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im)))))))))) |
(* 1/2 (* re (+ (exp im) (exp (neg im))))) |
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im))))))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im)))))))))) |
(* 1/2 re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
re |
(* re (+ 1 (* -1/6 (pow re 2)))) |
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) |
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6)))) |
(* -1/6 (pow re 2)) |
(* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)) |
1/2 |
(+ 1/2 (* -1/12 (pow re 2))) |
(+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))) |
-1/6 |
(- (* 1/120 (pow re 2)) 1/6) |
-1/12 |
(- (* 1/240 (pow re 2)) 1/12) |
(- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12) |
1/240 |
(+ 1/240 (* -1/10080 (pow re 2))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (sin re)) |
(sin re) |
(* 1/120 (pow re 4)) |
(* (pow re 4) (- 1/120 (* 1/6 (/ 1 (pow re 2))))) |
(* -1/10080 (pow re 7)) |
(* (pow re 7) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* (pow re 7) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(* (pow re 7) (- (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(* -1/10080 (pow re 6)) |
(* (pow re 6) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* (pow re 6) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(* (pow re 6) (- (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(* 1/120 (pow re 2)) |
(* (pow re 2) (- 1/120 (* 1/6 (/ 1 (pow re 2))))) |
(* -1/10080 (pow re 4)) |
(* (pow re 4) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* (pow re 4) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(* -1/10080 (pow re 2)) |
(* (pow re 2) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* -1 (* (pow re 7) (- 1/10080 (* 1/240 (/ 1 (pow re 2)))))) |
(* -1 (* (pow re 7) (- (+ 1/10080 (/ 1/12 (pow re 4))) (* 1/240 (/ 1 (pow re 2)))))) |
(* -1 (* (pow re 7) (- (+ 1/10080 (/ 1/12 (pow re 4))) (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6))))))) |
(+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) |
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re))))) |
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re))))))) |
1 |
(+ 1 (* 1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) |
(+ 1/2 (* 1/24 (pow im 2))) |
(+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))) |
1/24 |
(+ 1/24 (* 1/720 (pow im 2))) |
2 |
(+ 2 (pow im 2)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
(+ 1/2 (* -1/4 (pow im 2))) |
(+ 1/2 (* (pow im 2) (- (* 5/48 (pow im 2)) 1/4))) |
(+ 1/2 (* (pow im 2) (- (* (pow im 2) (+ 5/48 (* -61/1440 (pow im 2)))) 1/4))) |
(* 1/720 (pow im 2)) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(* 1/720 (pow im 4)) |
(* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))) |
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(+ (exp im) (exp (neg im))) |
(/ 1 (+ (exp im) (/ 1 (exp im)))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(+ (exp im) (exp (* -1 im))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | re | @ | -inf | ((* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* 1/720 (* im im)) 1/24) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (* (+ (* (* re re) 1/120) -1/6) (* re re)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) (/ 1 (* (cosh im) 2)) (/ (* (sin re) 1/2) (/ 1 (* (cosh im) 2))) (* (sin re) 1/2) (* 1/720 (* im im)) (+ (exp (- 0 im)) (exp im)) (+ (* (* re re) 1/120) -1/6) (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (+ (* -1/10080 (* re re)) 1/240) (cosh im)) |
| 3.0ms | re | @ | inf | ((* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* 1/720 (* im im)) 1/24) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (* (+ (* (* re re) 1/120) -1/6) (* re re)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) (/ 1 (* (cosh im) 2)) (/ (* (sin re) 1/2) (/ 1 (* (cosh im) 2))) (* (sin re) 1/2) (* 1/720 (* im im)) (+ (exp (- 0 im)) (exp im)) (+ (* (* re re) 1/120) -1/6) (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (+ (* -1/10080 (* re re)) 1/240) (cosh im)) |
| 2.0ms | im | @ | inf | ((* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* 1/720 (* im im)) 1/24) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (* (+ (* (* re re) 1/120) -1/6) (* re re)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) (/ 1 (* (cosh im) 2)) (/ (* (sin re) 1/2) (/ 1 (* (cosh im) 2))) (* (sin re) 1/2) (* 1/720 (* im im)) (+ (exp (- 0 im)) (exp im)) (+ (* (* re re) 1/120) -1/6) (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (+ (* -1/10080 (* re re)) 1/240) (cosh im)) |
| 2.0ms | im | @ | -inf | ((* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* 1/720 (* im im)) 1/24) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (* (+ (* (* re re) 1/120) -1/6) (* re re)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) (/ 1 (* (cosh im) 2)) (/ (* (sin re) 1/2) (/ 1 (* (cosh im) 2))) (* (sin re) 1/2) (* 1/720 (* im im)) (+ (exp (- 0 im)) (exp im)) (+ (* (* re re) 1/120) -1/6) (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (+ (* -1/10080 (* re re)) 1/240) (cosh im)) |
| 2.0ms | re | @ | 0 | ((* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* 1/720 (* im im)) 1/24) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (* (+ (* (* re re) 1/120) -1/6) (* re re)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) (/ 1 (* (cosh im) 2)) (/ (* (sin re) 1/2) (/ 1 (* (cosh im) 2))) (* (sin re) 1/2) (* 1/720 (* im im)) (+ (exp (- 0 im)) (exp im)) (+ (* (* re re) 1/120) -1/6) (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (+ (* -1/10080 (* re re)) 1/240) (cosh im)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 217 | 972 |
| 1 | 682 | 917 |
| 2 | 1865 | 897 |
| 3 | 4522 | 881 |
| 4 | 5984 | 881 |
| 0 | 8252 | 811 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (* re (+ (exp im) (/ 1 (exp im))))) |
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))) |
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))) |
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im)))))))))) |
(* 1/2 (* re (+ (exp im) (exp (neg im))))) |
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im))))))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im)))))))))) |
(* 1/2 re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
re |
(* re (+ 1 (* -1/6 (pow re 2)))) |
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) |
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6)))) |
(* -1/6 (pow re 2)) |
(* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)) |
1/2 |
(+ 1/2 (* -1/12 (pow re 2))) |
(+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))) |
-1/6 |
(- (* 1/120 (pow re 2)) 1/6) |
-1/12 |
(- (* 1/240 (pow re 2)) 1/12) |
(- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12) |
1/240 |
(+ 1/240 (* -1/10080 (pow re 2))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (sin re)) |
(sin re) |
(* 1/120 (pow re 4)) |
(* (pow re 4) (- 1/120 (* 1/6 (/ 1 (pow re 2))))) |
(* -1/10080 (pow re 7)) |
(* (pow re 7) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* (pow re 7) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(* (pow re 7) (- (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(* -1/10080 (pow re 6)) |
(* (pow re 6) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* (pow re 6) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(* (pow re 6) (- (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(* 1/120 (pow re 2)) |
(* (pow re 2) (- 1/120 (* 1/6 (/ 1 (pow re 2))))) |
(* -1/10080 (pow re 4)) |
(* (pow re 4) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* (pow re 4) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(* -1/10080 (pow re 2)) |
(* (pow re 2) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* -1 (* (pow re 7) (- 1/10080 (* 1/240 (/ 1 (pow re 2)))))) |
(* -1 (* (pow re 7) (- (+ 1/10080 (/ 1/12 (pow re 4))) (* 1/240 (/ 1 (pow re 2)))))) |
(* -1 (* (pow re 7) (- (+ 1/10080 (/ 1/12 (pow re 4))) (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6))))))) |
(+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) |
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re))))) |
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re))))))) |
1 |
(+ 1 (* 1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) |
(+ 1/2 (* 1/24 (pow im 2))) |
(+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))) |
1/24 |
(+ 1/24 (* 1/720 (pow im 2))) |
2 |
(+ 2 (pow im 2)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
(+ 1/2 (* -1/4 (pow im 2))) |
(+ 1/2 (* (pow im 2) (- (* 5/48 (pow im 2)) 1/4))) |
(+ 1/2 (* (pow im 2) (- (* (pow im 2) (+ 5/48 (* -61/1440 (pow im 2)))) 1/4))) |
(* 1/720 (pow im 2)) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(* 1/720 (pow im 4)) |
(* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))) |
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(+ (exp im) (exp (neg im))) |
(/ 1 (+ (exp im) (/ 1 (exp im)))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(+ (exp im) (exp (* -1 im))) |
| Outputs |
|---|
(* 1/2 (* re (+ (exp im) (/ 1 (exp im))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re) |
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re) |
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im)))))))))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) |
(* 1/2 (* re (+ (exp im) (exp (neg im))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im))))))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im)))))))))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) |
(* 1/2 re) |
(*.f64 #s(literal 1/2 binary64) re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
re |
(* re (+ 1 (* -1/6 (pow re 2)))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re) |
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re) |
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6)))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re) |
(* -1/6 (pow re 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 re re)) |
(* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re) re) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/12 (pow re 2))) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))) |
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/120 (pow re 2)) 1/6) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) |
-1/12 |
#s(literal -1/12 binary64) |
(- (* 1/240 (pow re 2)) 1/12) |
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) |
(- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12) |
(fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) |
1/240 |
#s(literal 1/240 binary64) |
(+ 1/240 (* -1/10080 (pow re 2))) |
(fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(* 1/2 (sin re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(sin re) |
(sin.f64 re) |
(* 1/120 (pow re 4)) |
(*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/120 binary64)) |
(* (pow re 4) (- 1/120 (* 1/6 (/ 1 (pow re 2))))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 re re))) (pow.f64 re #s(literal 4 binary64))) |
(* -1/10080 (pow re 7)) |
(*.f64 (pow.f64 re #s(literal 7 binary64)) #s(literal -1/10080 binary64)) |
(* (pow re 7) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/10080 binary64)) (pow.f64 re #s(literal 7 binary64))) |
(* (pow re 7) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal 1/10080 binary64) (/.f64 #s(literal 1/240 binary64) (*.f64 re re)))) (pow.f64 re #s(literal 7 binary64))) |
(* (pow re 7) (- (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal -1/240 binary64) (*.f64 re re))) (-.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/10080 binary64))) (pow.f64 re #s(literal 7 binary64))) |
(* -1/10080 (pow re 6)) |
(*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/10080 binary64)) |
(* (pow re 6) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(*.f64 (pow.f64 re #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/10080 binary64))) |
(* (pow re 6) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(*.f64 (pow.f64 re #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal 1/10080 binary64) (/.f64 #s(literal 1/240 binary64) (*.f64 re re))))) |
(* (pow re 6) (- (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal -1/240 binary64) (*.f64 re re))) (-.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/10080 binary64))) (pow.f64 re #s(literal 6 binary64))) |
(* 1/120 (pow re 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 re re)) |
(* (pow re 2) (- 1/120 (* 1/6 (/ 1 (pow re 2))))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) |
(* -1/10080 (pow re 4)) |
(*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/10080 binary64)) |
(* (pow re 4) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/10080 binary64)) (pow.f64 re #s(literal 4 binary64))) |
(* (pow re 4) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal 1/10080 binary64) (/.f64 #s(literal 1/240 binary64) (*.f64 re re)))) (pow.f64 re #s(literal 4 binary64))) |
(* -1/10080 (pow re 2)) |
(*.f64 #s(literal -1/10080 binary64) (*.f64 re re)) |
(* (pow re 2) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) |
(* -1 (* (pow re 7) (- 1/10080 (* 1/240 (/ 1 (pow re 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/10080 binary64)) (pow.f64 re #s(literal 7 binary64))) |
(* -1 (* (pow re 7) (- (+ 1/10080 (/ 1/12 (pow re 4))) (* 1/240 (/ 1 (pow re 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal 1/10080 binary64) (/.f64 #s(literal 1/240 binary64) (*.f64 re re)))) (pow.f64 re #s(literal 7 binary64))) |
(* -1 (* (pow re 7) (- (+ 1/10080 (/ 1/12 (pow re 4))) (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6))))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal -1/240 binary64) (*.f64 re re))) (-.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/10080 binary64))) (pow.f64 re #s(literal 7 binary64))) |
(+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) |
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re)) |
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re))))) |
(*.f64 (sin.f64 re) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re))))))) |
(fma.f64 (*.f64 (sin.f64 re) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (sin.f64 re)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow im 2))) |
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(+ 1/2 (* 1/24 (pow im 2))) |
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))) |
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) |
1/24 |
#s(literal 1/24 binary64) |
(+ 1/24 (* 1/720 (pow im 2))) |
(fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (pow im 2)) |
(fma.f64 im im #s(literal 2 binary64)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))) |
(+ 1/2 (* -1/4 (pow im 2))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 im im) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow im 2) (- (* 5/48 (pow im 2)) 1/4))) |
(fma.f64 (fma.f64 #s(literal 5/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow im 2) (- (* (pow im 2) (+ 5/48 (* -61/1440 (pow im 2)))) 1/4))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/1440 binary64) (*.f64 im im) #s(literal 5/48 binary64)) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) |
(* 1/720 (pow im 2)) |
(*.f64 (*.f64 im im) #s(literal 1/720 binary64)) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(* 1/720 (pow im 4)) |
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/720 binary64)) |
(* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im) |
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))) |
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) |
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(+ (exp im) (exp (neg im))) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(/ 1 (+ (exp im) (/ 1 (exp im)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(+ (exp im) (exp (* -1 im))) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 367 |
| 0 | 89 | 358 |
| 1 | 314 | 341 |
| 2 | 1954 | 341 |
| 0 | 8230 | 334 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) |
#s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) |
(*.f64 #s(literal 1/2 binary64) re) |
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) |
#s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) re re)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) |
(/.f64 #s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
#s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 im im)) |
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) |
(fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) |
(fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) |
(cosh.f64 im) |
| Outputs |
|---|
(*.f64 (sin.f64 re) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 im im) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 (*.f64 im im) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 im im) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 im im)) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 im im) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 im im) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 im im)) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 im im) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 im im)) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 im im) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 im im) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 im im) #s(literal -1/2 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 im im)) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 im im) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 im im) #s(literal -1/2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 im im)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 im im))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 im im) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 im im)) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 im im) #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 im im) #s(literal -1/2 binary64)) (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 im im) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 im im)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 im im)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 im im) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 im im)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 (*.f64 im im) #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 (*.f64 im im) #s(literal 1/2 binary64))))))) |
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 im im) #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 im im)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) re) (*.f64 re #s(literal -1/12 binary64))))) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/1728 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) re) re #s(literal -1/12 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) |
(fma.f64 (*.f64 re re) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) #s(literal -1/12 binary64)) |
(fma.f64 re (*.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) re) #s(literal -1/12 binary64)) |
(-.f64 (/.f64 #s(literal 1/144 binary64) (-.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) re) re))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) re) re)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal 1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal 1/12 binary64)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) re) re) #s(literal -1/12 binary64)) |
(+.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) re) re)) |
(*.f64 (fma.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/57600 binary64)) (pow.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/1024192512000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/13824000 binary64)) (pow.f64 (fma.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 re re) #s(literal -1/2419200 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/57600 binary64) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64))) (/.f64 (*.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64))) (fma.f64 (/.f64 #s(literal 1/57600 binary64) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64))) (/.f64 #s(literal 1/57600 binary64) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64))) (/.f64 #s(literal 1/57600 binary64) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/57600 binary64) (*.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/57600 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/1024192512000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/13824000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 re re) #s(literal -1/2419200 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64))) (*.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64)) #s(literal 1/57600 binary64))) (*.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64)))) |
(/.f64 (-.f64 #s(literal 1/57600 binary64) (*.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64)))) (-.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/57600 binary64))) (neg.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/1024192512000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/13824000 binary64))) (neg.f64 (+.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 (*.f64 re re) #s(literal -1/2419200 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/1024192512000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/13824000 binary64))) (neg.f64 (fma.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 re re) #s(literal -1/2419200 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/57600 binary64)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64))) |
(/.f64 (fma.f64 #s(literal -1/1024192512000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/13824000 binary64)) (+.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 (*.f64 re re) #s(literal -1/2419200 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/1024192512000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/13824000 binary64)) (fma.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 re re) #s(literal -1/2419200 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (-.f64 #s(literal 1/57600 binary64) (*.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 (*.f64 re re) #s(literal -1/2419200 binary64)))) (fma.f64 #s(literal -1/1024192512000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/13824000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/10080 binary64) re) re #s(literal 1/240 binary64)) |
(fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) |
(fma.f64 (*.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) |
(fma.f64 re (*.f64 #s(literal -1/10080 binary64) re) #s(literal 1/240 binary64)) |
(-.f64 (/.f64 #s(literal 1/57600 binary64) (-.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re)))) (/.f64 (*.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64))) (/.f64 #s(literal 1/57600 binary64) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal -1/240 binary64)))) |
(+.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 re re)) #s(literal 1/240 binary64)) |
(+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) |
(*.f64 (/.f64 (+.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (+.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (cosh.f64 im) (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) |
(*.f64 (cosh.f64 im) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cosh.f64 im)) |
(pow.f64 (pow.f64 (cosh.f64 im) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (cosh.f64 im) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 im))) #s(literal 2 binary64)) |
(/.f64 (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) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (cosh.f64 im)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 im)) #s(literal -2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (cosh.f64 im) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (cosh.f64 im) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (*.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 #s(literal 1 binary64) (pow.f64 (cosh.f64 im) #s(literal -1 binary64))) |
(fma.f64 (cosh.f64 #s(literal 0 binary64)) (cosh.f64 im) (*.f64 (sinh.f64 #s(literal 0 binary64)) (sinh.f64 im))) |
(fma.f64 (cosh.f64 im) (cosh.f64 #s(literal 0 binary64)) (*.f64 (sinh.f64 im) (sinh.f64 #s(literal 0 binary64)))) |
(cosh.f64 im) |
(-.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -2 binary64))) |
(+.f64 (*.f64 (cosh.f64 #s(literal 0 binary64)) (cosh.f64 im)) (*.f64 (sinh.f64 #s(literal 0 binary64)) (sinh.f64 im))) |
(+.f64 (*.f64 (cosh.f64 im) (cosh.f64 #s(literal 0 binary64))) (*.f64 (sinh.f64 im) (sinh.f64 #s(literal 0 binary64)))) |
Compiled 15 801 to 1 961 computations (87.6% saved)
19 alts after pruning (15 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 383 | 11 | 394 |
| Fresh | 4 | 4 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 389 | 19 | 408 |
| Status | Accuracy | Program |
|---|---|---|
| 68.1% | (/.f64 #s(approx (* (sin re) 1/2) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) | |
| 65.4% | (/.f64 #s(approx (* (sin re) 1/2) (*.f64 re #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 im))) | |
| 29.1% | (/.f64 #s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (/ 1 (* (cosh im) 2)) (fma.f64 (fma.f64 #s(literal 5/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im) #s(literal 1/2 binary64)))) | |
| 65.4% | (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (* (sin re) 1/2) (*.f64 re #s(literal 1/2 binary64)))) | |
| ✓ | 37.5% | (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
| 37.2% | (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 re re))) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) | |
| 37.4% | (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) | |
| 51.8% | (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| 85.5% | (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) | |
| ✓ | 91.4% | (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
| 38.8% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) | |
| 52.9% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| 51.4% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| 53.1% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| 51.8% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| ✓ | 48.8% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| 29.2% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) | |
| 89.2% | #s(approx (/ (* (sin re) 1/2) (/ 1 (* (cosh im) 2))) (fma.f64 (*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (sin.f64 re))) | |
| ✓ | 50.8% | #s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) |
Compiled 1 422 to 592 computations (58.4% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 re re))) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(/.f64 #s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (/ 1 (* (cosh im) 2)) (fma.f64 (fma.f64 #s(literal 5/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im) #s(literal 1/2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (* (sin re) 1/2) (*.f64 re #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) #s(approx (+ (* (pow re 3) -1/6) re) (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(/.f64 #s(approx (* (sin re) 1/2) (*.f64 re #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(/.f64 #s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(/.f64 #s(approx (* (sin re) 1/2) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) |
(/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
#s(approx (/ (* (sin re) 1/2) (/ 1 (* (cosh im) 2))) (fma.f64 (*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (sin.f64 re))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
6 calls:
| 12.0ms | re |
| 11.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 11.0ms | im |
| 11.0ms | (sin.f64 re) |
| 10.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | re |
| 100.0% | 1 | im |
| 100.0% | 1 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 100.0% | 1 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 100.0% | 1 | (sin.f64 re) |
| 100.0% | 1 | (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
Compiled 27 to 30 computations (-11.1% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 re re))) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(/.f64 #s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (/ 1 (* (cosh im) 2)) (fma.f64 (fma.f64 #s(literal 5/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im) #s(literal 1/2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (* (sin re) 1/2) (*.f64 re #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) #s(approx (+ (* (pow re 3) -1/6) re) (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(/.f64 #s(approx (* (sin re) 1/2) (*.f64 re #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(/.f64 #s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(/.f64 #s(approx (* (sin re) 1/2) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) |
6 calls:
| 11.0ms | re |
| 10.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 10.0ms | (sin.f64 re) |
| 10.0ms | im |
| 9.0ms | (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | re |
| 100.0% | 1 | im |
| 100.0% | 1 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 100.0% | 1 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 100.0% | 1 | (sin.f64 re) |
| 100.0% | 1 | (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
Compiled 27 to 30 computations (-11.1% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 re re))) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(/.f64 #s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (/ 1 (* (cosh im) 2)) (fma.f64 (fma.f64 #s(literal 5/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im) #s(literal 1/2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (* (sin re) 1/2) (*.f64 re #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) #s(approx (+ (* (pow re 3) -1/6) re) (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(/.f64 #s(approx (* (sin re) 1/2) (*.f64 re #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(/.f64 #s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(/.f64 #s(approx (* (sin re) 1/2) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
| Outputs |
|---|
(/.f64 #s(approx (* (sin re) 1/2) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (* (sin re) 1/2) (*.f64 re #s(literal 1/2 binary64)))) |
6 calls:
| 34.0ms | im |
| 10.0ms | re |
| 10.0ms | (sin.f64 re) |
| 10.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 9.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.9% | 2 | re |
| 98.0% | 3 | im |
| 99.3% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 96.3% | 3 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 96.3% | 3 | (sin.f64 re) |
| 91.4% | 1 | (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
Compiled 27 to 30 computations (-11.1% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 re re))) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(/.f64 #s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (/ 1 (* (cosh im) 2)) (fma.f64 (fma.f64 #s(literal 5/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im) #s(literal 1/2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (* (sin re) 1/2) (*.f64 re #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) #s(approx (+ (* (pow re 3) -1/6) re) (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(/.f64 #s(approx (* (sin re) 1/2) (*.f64 re #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(/.f64 #s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (* (sin re) 1/2) (*.f64 re #s(literal 1/2 binary64)))) |
1 calls:
| 9.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
Compiled 12 to 11 computations (8.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 re re))) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(/.f64 #s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (/ 1 (* (cosh im) 2)) (fma.f64 (fma.f64 #s(literal 5/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im) #s(literal 1/2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (* (sin re) 1/2) (*.f64 re #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) #s(approx (+ (* (pow re 3) -1/6) re) (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(/.f64 #s(approx (* (sin re) 1/2) (*.f64 re #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(/.f64 #s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
| Outputs |
|---|
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (* (sin re) 1/2) (*.f64 re #s(literal 1/2 binary64)))) |
1 calls:
| 9.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
Compiled 12 to 11 computations (8.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 re re))) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(/.f64 #s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (/ 1 (* (cosh im) 2)) (fma.f64 (fma.f64 #s(literal 5/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im) #s(literal 1/2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (* (sin re) 1/2) (*.f64 re #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) #s(approx (+ (* (pow re 3) -1/6) re) (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(/.f64 #s(approx (* (sin re) 1/2) (*.f64 re #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(/.f64 #s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (* (sin re) 1/2) (*.f64 re #s(literal 1/2 binary64)))) |
2 calls:
| 8.0ms | im |
| 8.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.1% | 3 | im |
| 97.8% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 re re))) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(/.f64 #s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (/ 1 (* (cosh im) 2)) (fma.f64 (fma.f64 #s(literal 5/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im) #s(literal 1/2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (* (sin re) 1/2) (*.f64 re #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) #s(approx (+ (* (pow re 3) -1/6) re) (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (* (sin re) 1/2) (*.f64 re #s(literal 1/2 binary64)))) |
1 calls:
| 7.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
Compiled 12 to 11 computations (8.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 re re))) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(/.f64 #s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (/ 1 (* (cosh im) 2)) (fma.f64 (fma.f64 #s(literal 5/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im) #s(literal 1/2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (* (sin re) 1/2) (*.f64 re #s(literal 1/2 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) |
(*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (* (sin re) 1/2) (*.f64 re #s(literal 1/2 binary64)))) |
1 calls:
| 5.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
Compiled 12 to 11 computations (8.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 re re))) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(/.f64 #s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (/ 1 (* (cosh im) 2)) (fma.f64 (fma.f64 #s(literal 5/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im) #s(literal 1/2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
6 calls:
| 7.0ms | re |
| 6.0ms | im |
| 6.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 6.0ms | (sin.f64 re) |
| 5.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.3% | 2 | (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| 74.3% | 2 | im |
| 68.6% | 4 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 68.6% | 4 | (sin.f64 re) |
| 63.9% | 2 | re |
| 84.4% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
Compiled 27 to 30 computations (-11.1% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 re re))) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(/.f64 #s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (/ 1 (* (cosh im) 2)) (fma.f64 (fma.f64 #s(literal 5/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im) #s(literal 1/2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
6 calls:
| 6.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 5.0ms | im |
| 5.0ms | re |
| 5.0ms | (sin.f64 re) |
| 5.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.9% | 3 | re |
| 63.6% | 2 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 63.6% | 2 | (sin.f64 re) |
| 53.1% | 1 | (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| 53.1% | 1 | im |
| 63.6% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
Compiled 27 to 30 computations (-11.1% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 re re))) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(/.f64 #s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (/ 1 (* (cosh im) 2)) (fma.f64 (fma.f64 #s(literal 5/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im) #s(literal 1/2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
3 calls:
| 5.0ms | (sin.f64 re) |
| 5.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 4.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.5% | 2 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 63.5% | 2 | (sin.f64 re) |
| 63.5% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
Compiled 18 to 19 computations (-5.6% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 re re))) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(/.f64 #s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (/ 1 (* (cosh im) 2)) (fma.f64 (fma.f64 #s(literal 5/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im) #s(literal 1/2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
3 calls:
| 5.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 4.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 4.0ms | (sin.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.4% | 2 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 62.4% | 2 | (sin.f64 re) |
| 62.4% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
Compiled 18 to 19 computations (-5.6% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 re re))) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
3 calls:
| 3.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 3.0ms | (sin.f64 re) |
| 3.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.0% | 2 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 61.0% | 2 | (sin.f64 re) |
| 59.9% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
Compiled 18 to 19 computations (-5.6% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 re re))) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 re re))) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
2 calls:
| 4.0ms | (sin.f64 re) |
| 3.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.8% | 2 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 60.8% | 2 | (sin.f64 re) |
Compiled 6 to 8 computations (-33.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
3 calls:
| 3.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 2.0ms | (sin.f64 re) |
| 2.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.9% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 59.9% | 2 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 59.9% | 2 | (sin.f64 re) |
Compiled 18 to 19 computations (-5.6% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
3 calls:
| 2.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 2.0ms | (sin.f64 re) |
| 2.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.9% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 57.9% | 2 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 57.9% | 2 | (sin.f64 re) |
Compiled 18 to 19 computations (-5.6% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
6 calls:
| 2.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 2.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 2.0ms | (sin.f64 re) |
| 2.0ms | im |
| 2.0ms | re |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.8% | 1 | im |
| 48.8% | 1 | (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| 48.8% | 1 | re |
| 48.8% | 1 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 48.8% | 1 | (sin.f64 re) |
| 48.8% | 1 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
Compiled 27 to 30 computations (-11.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
6 calls:
| 1.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 1.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 1.0ms | (sin.f64 re) |
| 1.0ms | im |
| 1.0ms | re |
| Accuracy | Segments | Branch |
|---|---|---|
| 29.2% | 1 | im |
| 29.2% | 1 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 29.2% | 1 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 29.2% | 1 | (sin.f64 re) |
| 29.2% | 1 | re |
| 29.2% | 1 | (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
Compiled 27 to 30 computations (-11.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9993793744677655 | +inf |
| 0.0ms | -inf | -0.9998588667190526 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9993793744677655 | +inf |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9993793744677655 | +inf |
Compiled 15 to 16 computations (-6.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9993793744677655 | +inf |
| 0.0ms | -inf | -0.9998588667190526 |
Compiled 15 to 16 computations (-6.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9993793744677655 | +inf |
| 0.0ms | -inf | -0.9998588667190526 |
Compiled 15 to 16 computations (-6.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9993793744677655 | +inf |
| 0.0ms | -inf | -0.9998588667190526 |
Compiled 15 to 16 computations (-6.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9993793744677655 | +inf |
| 0.0ms | -inf | -0.9998588667190526 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.36528787810908186 | 0.38484713349039174 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.01453128405505432 | 7.612403381187351e-307 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.01453128405505432 | 7.612403381187351e-307 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.7216803428233878e-6 | 0.021857284686947216 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.021857284686947216 | 0.022414446249932163 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.021857284686947216 | 0.022414446249932163 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.01453128405505432 | 7.612403381187351e-307 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 151 | 1160 |
| 1 | 191 | 1160 |
| 2 | 194 | 1160 |
| 3 | 195 | 1160 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (/.f64 #s(approx (* (sin re) 1/2) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (* (sin re) 1/2) (*.f64 re #s(literal 1/2 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (* (sin re) 1/2) (*.f64 re #s(literal 1/2 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (* (sin re) 1/2) (*.f64 re #s(literal 1/2 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (* (sin re) 1/2) (*.f64 re #s(literal 1/2 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (* (sin re) 1/2) (*.f64 re #s(literal 1/2 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) #s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (* (sin re) 1/2) (*.f64 re #s(literal 1/2 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) #s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 3422735716801577/9007199254740992 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))) |
(if (<=.f64 (sin.f64 re) #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))) |
(if (<=.f64 (sin.f64 re) #s(literal 3170534137668829/144115188075855872 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 re re))) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))) |
(if (<=.f64 (sin.f64 re) #s(literal 3170534137668829/144115188075855872 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) |
(*.f64 (cosh.f64 im) (sin.f64 re)) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (/.f64 #s(approx (* (sin re) 1/2) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (* (sin re) 1/2) (*.f64 re #s(literal 1/2 binary64)))))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal -inf.0 binary64)) (/.f64 #s(approx (* (sin re) 1/2) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) (if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal 1 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (*.f64 #s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (* (sin re) 1/2) (*.f64 re #s(literal 1/2 binary64))))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal 1 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (*.f64 #s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (* (sin re) 1/2) (*.f64 re #s(literal 1/2 binary64))))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal 1 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (*.f64 #s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (* (sin re) 1/2) (*.f64 re #s(literal 1/2 binary64)))))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))) (if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal 1 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (*.f64 #s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (* (sin re) 1/2) (*.f64 re #s(literal 1/2 binary64)))))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))) (if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal 1 binary64)) (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) (*.f64 #s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) #s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (* (sin re) 1/2) (*.f64 re #s(literal 1/2 binary64)))))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))) (if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal 1 binary64)) #s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) (*.f64 #s(approx (* (sin re) 1/2) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) #s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))) (if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal 1 binary64)) #s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 3422735716801577/9007199254740992 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal 3422735716801577/9007199254740992 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))) |
(if (<=.f64 (sin.f64 re) #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))) |
(if (<=.f64 (sin.f64 re) #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) (*.f64 #s(approx (sin re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re)) re re)) #s(literal 1/2 binary64)))) |
(if (<=.f64 (sin.f64 re) #s(literal 3170534137668829/144115188075855872 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 re re))) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))) |
(if (<=.f64 (sin.f64 re) #s(literal 3170534137668829/144115188075855872 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 (*.f64 #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 re re))) (*.f64 re re)) re re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))) |
(if (<=.f64 (sin.f64 re) #s(literal 3170534137668829/144115188075855872 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 re re)) re re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 (*.f64 #s(approx (sin re) (fma.f64 (*.f64 #s(approx (+ (* (* re re) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 re re)) re re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 347 |
| 0 | 86 | 338 |
| 1 | 332 | 321 |
| 2 | 2262 | 321 |
| 0 | 8247 | 321 |
| 0 | 130 | 412 |
| 1 | 419 | 380 |
| 2 | 1288 | 364 |
| 3 | 4277 | 347 |
| 4 | 5227 | 347 |
| 5 | 5793 | 347 |
| 6 | 6428 | 347 |
| 7 | 7715 | 347 |
| 0 | 8008 | 307 |
| 0 | 276 | 943 |
| 1 | 903 | 844 |
| 2 | 2519 | 817 |
| 3 | 4684 | 786 |
| 4 | 5134 | 786 |
| 5 | 5431 | 786 |
| 6 | 5883 | 786 |
| 7 | 7141 | 786 |
| 0 | 8139 | 708 |
| 0 | 11 | 34 |
| 0 | 18 | 30 |
| 1 | 59 | 26 |
| 2 | 397 | 24 |
| 0 | 4416 | 24 |
| 0 | 217 | 972 |
| 1 | 682 | 917 |
| 2 | 1865 | 897 |
| 3 | 4522 | 881 |
| 4 | 5984 | 881 |
| 0 | 8252 | 811 |
| 0 | 287 | 1098 |
| 1 | 924 | 1007 |
| 2 | 2644 | 985 |
| 3 | 5362 | 962 |
| 4 | 7615 | 962 |
| 0 | 8119 | 896 |
| 0 | 57 | 367 |
| 0 | 89 | 358 |
| 1 | 314 | 341 |
| 2 | 1954 | 341 |
| 0 | 8230 | 334 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 2 908 to 1 517 computations (47.8% saved)
(negabs re)
(abs im)
Compiled 2 476 to 466 computations (81.2% saved)
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