
Time bar (total: 6.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 14 to 13 computations (7.1% saved)
| 850.0ms | 8 256× | 0 | valid |
ival-sin: 275.0ms (42.4% of total)ival-mult: 161.0ms (24.8% of total)ival-exp: 119.0ms (18.3% of total)ival-sub: 39.0ms (6% of total)ival-add: 37.0ms (5.7% of total)exact: 9.0ms (1.4% of total)ival-true: 6.0ms (0.9% of total)ival-assert: 3.0ms (0.5% 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 | 0 | - | 0 | - | (exp.f64 (-.f64 #s(literal 0 binary64) im)) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 53.0ms | 512× | 0 | valid |
Compiled 92 to 37 computations (59.8% saved)
ival-sin: 11.0ms (36.3% of total)ival-exp: 7.0ms (23.1% of total)ival-mult: 6.0ms (19.8% of total)ival-sub: 2.0ms (6.6% of total)ival-add: 2.0ms (6.6% of total)exact: 1.0ms (3.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 61 |
| 1 | 94 | 55 |
| 2 | 360 | 55 |
| 3 | 927 | 55 |
| 4 | 2089 | 55 |
| 5 | 3165 | 55 |
| 6 | 3519 | 55 |
| 7 | 3814 | 55 |
| 8 | 4098 | 55 |
| 9 | 4178 | 55 |
| 10 | 4180 | 55 |
| 11 | 4180 | 55 |
| 12 | 4212 | 55 |
| 13 | 4218 | 55 |
| 14 | 4218 | 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 | (sin.f64 re) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) | |
| cost-diff | 1 | (-.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 | 0.0 | (exp.f64 (-.f64 #s(literal 0 binary64) im)) | |
| accuracy | 0.0 | (exp.f64 im) | |
| accuracy | 0.0078125 | (+.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))) |
| 30.0ms | 256× | 0 | valid |
Compiled 40 to 13 computations (67.5% saved)
ival-exp: 6.0ms (28.1% of total)ival-sin: 6.0ms (28.1% of total)ival-sub: 3.0ms (14% of total)ival-mult: 3.0ms (14% of total)ival-add: 2.0ms (9.4% 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 (*.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)) |
(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 (+ (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)))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (sin re)) |
(sin re) |
(* -1 im) |
(+ (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))))))) |
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 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)) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(+ (exp im) (exp (* -1 im))) |
(exp (* -1 im)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | im | @ | 0 | ((- 0 im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (exp im) (exp (- 0 im))) |
| 1.0ms | im | @ | inf | ((- 0 im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (exp im) (exp (- 0 im))) |
| 1.0ms | im | @ | -inf | ((- 0 im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (exp im) (exp (- 0 im))) |
| 1.0ms | re | @ | inf | ((- 0 im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (exp im) (exp (- 0 im))) |
| 1.0ms | re | @ | 0 | ((- 0 im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (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 | 1287 | 364 |
| 3 | 4284 | 347 |
| 4 | 5244 | 347 |
| 5 | 5810 | 347 |
| 6 | 6448 | 347 |
| 7 | 7723 | 347 |
| 0 | 8007 | 307 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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)))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (sin re)) |
(sin re) |
(* -1 im) |
(+ (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))))))) |
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 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)) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(+ (exp im) (exp (* -1 im))) |
(exp (* -1 im)) |
| Outputs |
|---|
(* 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 (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 re) |
(*.f64 #s(literal 1/2 binary64) re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
re |
(* re (+ 1 (* -1/6 (pow re 2)))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re) |
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re) |
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6)))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re) |
(* 1/2 (* (sin re) (+ (exp 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 (sin re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(sin re) |
(sin.f64 re) |
(* -1 im) |
(neg.f64 im) |
(+ (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)))) |
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)))) |
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)) |
(* 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)) |
(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 | 4424 | 24 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 0 binary64) im) |
(*.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)) |
(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)) |
(*.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 im im)) |
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(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) (+.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (neg.f64 (+.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))) |
(fma.f64 (/.f64 (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)))) (fma.f64 (exp.f64 im) (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) |
(fma.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 im)) (exp.f64 im)) |
(fma.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 im) (exp.f64 (neg.f64 im))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(fma.f64 (exp.f64 im) #s(literal 1 binary64) (exp.f64 (neg.f64 im))) |
(fma.f64 (exp.f64 (neg.f64 im)) (/.f64 (exp.f64 (neg.f64 im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) |
(fma.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64) (exp.f64 im)) |
(-.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) |
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(*.f64 #s(literal 1 binary64) (exp.f64 im)) |
(*.f64 (exp.f64 im) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (exp.f64 im)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))) |
(/.f64 (exp.f64 im) #s(literal 1 binary64)) |
(exp.f64 im) |
(*.f64 #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 909 computations (83.6% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 249 | 4 | 253 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 250 | 4 | 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 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) |
| ▶ | 72.7% | (*.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)))) |
| ▶ | 47.7% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
Compiled 53 to 45 computations (15.1% saved)
| 1× | egg-herbie |
Found 16 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 | 10 | (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 | 2 | (*.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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 135 |
| 0 | 44 | 117 |
| 1 | 77 | 117 |
| 2 | 136 | 117 |
| 3 | 187 | 117 |
| 4 | 245 | 117 |
| 5 | 277 | 117 |
| 6 | 301 | 117 |
| 7 | 351 | 117 |
| 8 | 366 | 117 |
| 9 | 366 | 117 |
| 0 | 366 | 117 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.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 #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)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
#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 (sin.f64 re) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sin.f64 re) |
re |
#s(approx (+ (exp (- 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)) |
(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 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (exp.f64 (neg.f64 im)) | |
| accuracy | 0.0 | (exp.f64 im) | |
| accuracy | 0.00390625 | (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))) | |
| accuracy | 0.0078125 | (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) | |
| accuracy | 0.0 | (*.f64 #s(literal 1 binary64) (cosh.f64 im)) | |
| accuracy | 0.0 | (sin.f64 re) | |
| accuracy | 0.00390625 | (cosh.f64 im) | |
| accuracy | 0.0078125 | (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) | |
| accuracy | 0.0 | (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 | 17.28644268850654 | #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) | |
| accuracy | 0.0 | (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 | 33.33848341888168 | #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) |
| 76.0ms | 256× | 0 | valid |
Compiled 125 to 27 computations (78.4% saved)
ival-mult: 42.0ms (67.5% of total)ival-exp: 6.0ms (9.6% of total)ival-sin: 6.0ms (9.6% of total)ival-add: 3.0ms (4.8% of total)ival-cosh: 2.0ms (3.2% of total)ival-sub: 1.0ms (1.6% of total)exact: 1.0ms (1.6% of total)ival-neg: 1.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
(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))) |
(*.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 im) |
| Outputs |
|---|
(* 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)))) |
(* 1/2 (* 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)))))))))))))) |
(* 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) (exp (neg im))))) |
(* 1/2 (sin re)) |
(sin re) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp 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))))))) |
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)))))) |
(+ (exp im) (exp (neg im))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(exp (neg 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 | |
|---|---|---|---|---|
| 4.0ms | re | @ | inf | ((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (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))) (* (sin re) 1/2) (exp (neg im)) (* (* (exp im) 1/2) (sin re)) (exp im)) |
| 3.0ms | re | @ | 0 | ((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (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))) (* (sin re) 1/2) (exp (neg im)) (* (* (exp im) 1/2) (sin re)) (exp im)) |
| 3.0ms | im | @ | -inf | ((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (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))) (* (sin re) 1/2) (exp (neg im)) (* (* (exp im) 1/2) (sin re)) (exp im)) |
| 3.0ms | im | @ | inf | ((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (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))) (* (sin re) 1/2) (exp (neg im)) (* (* (exp im) 1/2) (sin re)) (exp im)) |
| 2.0ms | re | @ | -inf | ((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (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))) (* (sin re) 1/2) (exp (neg im)) (* (* (exp im) 1/2) (sin re)) (exp im)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 260 | 887 |
| 1 | 868 | 788 |
| 2 | 2433 | 761 |
| 3 | 4540 | 730 |
| 4 | 4991 | 730 |
| 5 | 5252 | 730 |
| 6 | 5652 | 730 |
| 7 | 6824 | 730 |
| 0 | 8140 | 658 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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)))) |
(* 1/2 (* 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)))))))))))))) |
(* 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) (exp (neg im))))) |
(* 1/2 (sin re)) |
(sin re) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp 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))))))) |
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)))))) |
(+ (exp im) (exp (neg im))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(exp (neg 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) (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)))))))))) |
(*.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) (/ 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)))))))))) |
(*.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 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (* -1/12 (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)) (+ (* 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) (exp (neg 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) (/ 1 (exp im))))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (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)) |
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)) |
(+ (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) |
(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: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 102 |
| 0 | 44 | 84 |
| 1 | 131 | 76 |
| 2 | 740 | 76 |
| 0 | 8033 | 76 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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)) |
(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))) |
(*.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 im) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) (sin.f64 re)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (sin.f64 re) (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) (sin.f64 re))) |
(*.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (exp.f64 im) (sin.f64 re))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64))) (sin.f64 re)) |
(*.f64 (/.f64 (sin.f64 re) (exp.f64 im)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 (exp.f64 im) (sin.f64 re))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) (exp.f64 im)) |
(*.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) (exp.f64 (neg.f64 im))) |
(*.f64 (exp.f64 im) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re))) |
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) |
(*.f64 (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (sin.f64 re) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (exp.f64 im))) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sin.f64 re) (exp.f64 im)) (exp.f64 im))) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) (exp.f64 im)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 im)) (sin.f64 re)) (neg.f64 (exp.f64 im))) |
(/.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) (exp.f64 im)) |
(*.f64 #s(literal 1 binary64) (sin.f64 re)) |
(*.f64 (sin.f64 re) #s(literal 1 binary64)) |
(sin.f64 re) |
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (sin.f64 re)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (sin.f64 re) (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (sin.f64 re))) |
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(*.f64 (/.f64 (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (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 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 im)) #s(literal -1/2 binary64)) |
(*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64)) #s(literal 2 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)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 2 binary64)))) |
(*.f64 (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal 2 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 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 2 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 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal 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)) |
(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 im) #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) #s(literal 2 binary64)) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) #s(literal 1/2 binary64)) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 im))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) (*.f64 (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (-.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64)) (pow.f64 (exp.f64 im) #s(literal 4 binary64))) (*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 2 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 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 #s(literal 2 binary64) (sinh.f64 im)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 6 binary64)) (pow.f64 (exp.f64 im) #s(literal 6 binary64))) (*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 2 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 6 binary64)) (pow.f64 (exp.f64 im) #s(literal 6 binary64))) (*.f64 (*.f64 (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 9 binary64)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 9 binary64))) (*.f64 (*.f64 (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal 2 binary64)) (+.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 6 binary64))))) |
(/.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)))) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) |
(/.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 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))) |
(/.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 (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 im)))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (*.f64 (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #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) (/.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 im))) |
(/.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -2 binary64))) |
(fma.f64 (cosh.f64 #s(literal 0 binary64)) (cosh.f64 im) (*.f64 (sinh.f64 #s(literal 0 binary64)) (sinh.f64 im))) |
(fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) |
(fma.f64 (cosh.f64 im) (cosh.f64 #s(literal 0 binary64)) (*.f64 (sinh.f64 im) (sinh.f64 #s(literal 0 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64))) |
(fma.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64) (*.f64 (exp.f64 im) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64))) |
(cosh.f64 im) |
(-.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 2 binary64)))) |
(-.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 (*.f64 (cosh.f64 im) (cosh.f64 #s(literal 0 binary64))) (*.f64 (sinh.f64 im) (sinh.f64 #s(literal 0 binary64)))) |
(+.f64 (*.f64 (cosh.f64 #s(literal 0 binary64)) (cosh.f64 im)) (*.f64 (sinh.f64 #s(literal 0 binary64)) (sinh.f64 im))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 im))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 im)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 im)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 im))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) im)) |
(exp.f64 (neg.f64 im)) |
(*.f64 (*.f64 (exp.f64 im) (sin.f64 re)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (exp.f64 im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) |
(*.f64 (sin.f64 re) (*.f64 (exp.f64 im) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 im) (sin.f64 re))) |
(*.f64 (exp.f64 im) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 im)) |
(/.f64 (neg.f64 (exp.f64 im)) #s(literal -1 binary64)) |
(/.f64 (exp.f64 im) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))) |
(exp.f64 im) |
Compiled 9 583 to 990 computations (89.7% saved)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 356 | 11 | 367 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 1 | 4 |
| Done | 0 | 0 | 0 |
| Total | 359 | 12 | 371 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 72.7% | (*.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)))) |
| ▶ | 100.0% | (*.f64 (sin.f64 re) (cosh.f64 im)) |
| 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)) | |
| 84.8% | (*.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)) | |
| 51.9% | (*.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)))) | |
| ▶ | 39.4% | (*.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)) #s(literal 2 binary64))) |
| 48.2% | (*.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)))) | |
| ▶ | 34.0% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
| 50.5% | (*.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)))) | |
| ▶ | 26.3% | (*.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))) |
| ▶ | 47.7% | #s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) |
| 89.6% | #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (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))) |
Compiled 511 to 384 computations (24.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) | |
| cost-diff | 0 | #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) | |
| cost-diff | 0 | #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (+ (exp (- 0 im)) (exp 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)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (cosh.f64 im) | |
| cost-diff | 0 | (sin.f64 re) | |
| cost-diff | 0 | (*.f64 (sin.f64 re) (cosh.f64 im)) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 233 |
| 0 | 56 | 227 |
| 1 | 95 | 222 |
| 2 | 156 | 222 |
| 3 | 249 | 222 |
| 4 | 356 | 216 |
| 5 | 405 | 216 |
| 6 | 432 | 216 |
| 7 | 444 | 216 |
| 8 | 484 | 216 |
| 9 | 489 | 216 |
| 10 | 489 | 216 |
| 0 | 489 | 216 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 re) (cosh.f64 im)) |
(sin.f64 re) |
re |
(cosh.f64 im) |
im |
(*.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))) |
#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)) #s(literal 2 binary64)) |
#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)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
(*.f64 re re) |
re |
#s(literal -1/12 binary64) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) |
#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)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) |
#s(literal 1/240 binary64) |
(*.f64 re re) |
re |
#s(literal -1/12 binary64) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) |
(sin.f64 re) |
re |
| Outputs |
|---|
(*.f64 (sin.f64 re) (cosh.f64 im)) |
(*.f64 (cosh.f64 im) (sin.f64 re)) |
(sin.f64 re) |
re |
(cosh.f64 im) |
im |
(*.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 (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))) |
#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)) #s(literal 2 binary64)) |
#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)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #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))) |
#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 (* 1/2 (sin re)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) |
(*.f64 re re) |
re |
#s(literal -1/12 binary64) |
#s(literal 1/2 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 #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))) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) |
#s(literal 1/240 binary64) |
(*.f64 re re) |
re |
#s(literal -1/12 binary64) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) |
(sin.f64 re) |
re |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sin.f64 re) | |
| accuracy | 33.48735119513555 | #s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) | |
| accuracy | 0.04296875 | (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)) | |
| accuracy | 0.05078125 | (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) | |
| accuracy | 30.757556433100135 | #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) | |
| accuracy | 33.33848341888168 | #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) | |
| accuracy | 0.03125 | (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) | |
| accuracy | 0.07421875 | (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 30.930725893485143 | #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) | |
| accuracy | 33.33848341888168 | #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) | |
| accuracy | 0.0 | (*.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)) #s(literal 2 binary64))) | |
| accuracy | 30.665096341280304 | #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) | |
| accuracy | 33.33848341888168 | #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) | |
| accuracy | 0.0 | (sin.f64 re) | |
| accuracy | 0.00390625 | (cosh.f64 im) | |
| accuracy | 0.0078125 | (*.f64 (sin.f64 re) (cosh.f64 im)) |
| 72.0ms | 256× | 0 | valid |
Compiled 173 to 35 computations (79.8% saved)
ival-mult: 28.0ms (49.9% of total)ival-sin: 6.0ms (10.7% of total)const: 6.0ms (10.7% of total)ival-add: 5.0ms (8.9% of total)ival-exp: 5.0ms (8.9% of total)ival-cosh: 2.0ms (3.6% of total)ival-sub: 1.0ms (1.8% of total)ival-neg: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (sin.f64 re) (cosh.f64 im)) |
(sin.f64 re) |
(cosh.f64 im) |
(*.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))) |
#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)) #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)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
(*.f64 #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)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) |
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 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 |
(* 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)))) |
1/2 |
(+ 1/2 (* -1/12 (pow re 2))) |
(+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))) |
(* 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)))))))))))))) |
-1/12 |
(- (* 1/240 (pow re 2)) 1/12) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(sin re) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (sin re)) |
(* -1/12 (pow re 3)) |
(* (pow re 3) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(* -1/12 (pow re 2)) |
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(* 1/240 (pow re 5)) |
(* (pow re 5) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(* (pow re 5) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2))))) |
(* 1/240 (pow re 4)) |
(* (pow re 4) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(* (pow re 4) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2))))) |
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) |
(* 1/240 (pow re 2)) |
(* (pow re 2) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2)))))) |
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) 1/240))) |
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) (+ 1/240 (/ 1/2 (pow re 4)))))) |
(+ (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))))))) |
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) (* 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)))))))))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(+ (exp im) (exp (neg 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)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | im | @ | -inf | ((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 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)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (+ (* 1/240 (* re re)) -1/12)) |
| 4.0ms | re | @ | 0 | ((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 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)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (+ (* 1/240 (* re re)) -1/12)) |
| 3.0ms | re | @ | inf | ((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 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)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (+ (* 1/240 (* re re)) -1/12)) |
| 3.0ms | re | @ | -inf | ((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 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)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (+ (* 1/240 (* re re)) -1/12)) |
| 2.0ms | im | @ | inf | ((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 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)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (+ (* 1/240 (* re re)) -1/12)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 242 | 861 |
| 1 | 789 | 774 |
| 2 | 2276 | 756 |
| 3 | 4539 | 733 |
| 4 | 5809 | 729 |
| 0 | 8275 | 668 |
| 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 |
(* 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)))) |
1/2 |
(+ 1/2 (* -1/12 (pow re 2))) |
(+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))) |
(* 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)))))))))))))) |
-1/12 |
(- (* 1/240 (pow re 2)) 1/12) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(sin re) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (sin re)) |
(* -1/12 (pow re 3)) |
(* (pow re 3) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(* -1/12 (pow re 2)) |
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(* 1/240 (pow re 5)) |
(* (pow re 5) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(* (pow re 5) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2))))) |
(* 1/240 (pow re 4)) |
(* (pow re 4) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(* (pow re 4) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2))))) |
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) |
(* 1/240 (pow re 2)) |
(* (pow re 2) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2)))))) |
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) 1/240))) |
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) (+ 1/240 (/ 1/2 (pow re 4)))))) |
(+ (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))))))) |
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) (* 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)))))))))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(+ (exp im) (exp (neg 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)))) |
| 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)))))))))) |
(*.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 |
(* 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 #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)))))))))) |
(*.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) |
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)) |
(* re (+ (* 1/2 (exp im)) (* 1/2 (exp (neg im))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (* -1/12 (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)) (+ (* 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) |
-1/12 |
#s(literal -1/12 binary64) |
(- (* 1/240 (pow re 2)) 1/12) |
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) |
(* 1/2 (* (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)) |
(sin re) |
(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)) |
(* -1/12 (pow re 3)) |
(*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/12 binary64)) |
(* (pow re 3) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(* -1/12 (pow re 2)) |
(*.f64 (*.f64 re re) #s(literal -1/12 binary64)) |
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
(* 1/240 (pow re 5)) |
(*.f64 (pow.f64 re #s(literal 5 binary64)) #s(literal 1/240 binary64)) |
(* (pow re 5) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(*.f64 (-.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 re re))) (pow.f64 re #s(literal 5 binary64))) |
(* (pow re 5) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/12 binary64) (*.f64 re re)) (-.f64 #s(literal -1/240 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 binary64))))) (pow.f64 re #s(literal 5 binary64))) |
(* 1/240 (pow re 4)) |
(*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/240 binary64)) |
(* (pow re 4) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/240 binary64) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) |
(* (pow re 4) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2))))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/240 binary64) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(* 1/240 (pow re 2)) |
(*.f64 #s(literal 1/240 binary64) (*.f64 re re)) |
(* (pow re 2) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) |
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2)))))) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) 1/240))) |
(*.f64 (-.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 re re))) (pow.f64 re #s(literal 5 binary64))) |
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) (+ 1/240 (/ 1/2 (pow re 4)))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/12 binary64) (*.f64 re re)) (-.f64 #s(literal -1/240 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 binary64))))) (pow.f64 re #s(literal 5 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)) |
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))) |
(+ (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)) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(+ (exp im) (exp (neg im))) |
(+.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)) |
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re)))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 192 |
| 0 | 56 | 188 |
| 1 | 173 | 173 |
| 2 | 1079 | 173 |
| 0 | 8615 | 173 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 re) (cosh.f64 im)) |
(sin.f64 re) |
(cosh.f64 im) |
(*.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))) |
#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)) #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)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
(*.f64 #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)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) |
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (sin.f64 re)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64)) |
(*.f64 (cosh.f64 im) (sin.f64 re)) |
(*.f64 (sin.f64 re) (cosh.f64 im)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (sin.f64 re))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (sin.f64 re)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (sin.f64 re)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))) |
(/.f64 (sin.f64 re) (/.f64 #s(literal 1 binary64) (cosh.f64 im))) |
(sin.f64 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 #s(literal 2 binary64) (cosh.f64 im)) (+.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 -1/2 binary64)) |
(*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.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 1 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 #s(literal 1 binary64) (cosh.f64 im)) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #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)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(literal -1 binary64)) |
(/.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 (-.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 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 im)))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (*.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 (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) (/.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 im))) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) |
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -2 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 (*.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)))) |
(*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))) |
(*.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))) |
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 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 (fma.f64 #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 (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re))) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re)) |
(*.f64 (*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64) #s(literal -1/4 binary64)) re) (pow.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/1728 binary64) #s(literal 1/8 binary64)) re) (pow.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/24 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 re (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 re (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/1728 binary64) #s(literal 1/8 binary64))) (pow.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/24 binary64)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(*.f64 re (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 re re)) re) (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 re re)) re)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) re))) (-.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 re re)) re) (*.f64 #s(literal 1/2 binary64) re))) |
(/.f64 (-.f64 (*.f64 (*.f64 re (*.f64 #s(literal -1/12 binary64) (*.f64 re re))) (*.f64 re (*.f64 #s(literal -1/12 binary64) (*.f64 re re)))) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) re))) (-.f64 (*.f64 re (*.f64 #s(literal -1/12 binary64) (*.f64 re re))) (*.f64 #s(literal 1/2 binary64) re))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 re re)) re) (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 re re)) re))) (-.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 re re)) re))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 (*.f64 re (*.f64 #s(literal -1/12 binary64) (*.f64 re re))) (*.f64 re (*.f64 #s(literal -1/12 binary64) (*.f64 re re))))) (-.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 re (*.f64 #s(literal -1/12 binary64) (*.f64 re re))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 re re)) re) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 re re)) re) (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 re re)) re) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 re re)) re) (*.f64 #s(literal 1/2 binary64) re))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 re (*.f64 #s(literal -1/12 binary64) (*.f64 re re))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64))) (fma.f64 (*.f64 re (*.f64 #s(literal -1/12 binary64) (*.f64 re re))) (*.f64 re (*.f64 #s(literal -1/12 binary64) (*.f64 re re))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 (*.f64 re (*.f64 #s(literal -1/12 binary64) (*.f64 re re))) (*.f64 #s(literal 1/2 binary64) re))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 re re)) re) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) re) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 re re)) re) (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 re re)) re)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 re re)) re))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64)) (pow.f64 (*.f64 re (*.f64 #s(literal -1/12 binary64) (*.f64 re re))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) re) (-.f64 (*.f64 (*.f64 re (*.f64 #s(literal -1/12 binary64) (*.f64 re re))) (*.f64 re (*.f64 #s(literal -1/12 binary64) (*.f64 re re)))) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 re (*.f64 #s(literal -1/12 binary64) (*.f64 re re))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64) #s(literal -1/4 binary64)) re)) (fma.f64 #s(literal 1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/1728 binary64) #s(literal 1/8 binary64)) re)) (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/24 binary64)))))) |
(/.f64 (neg.f64 (*.f64 re (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64) #s(literal -1/4 binary64)))) (fma.f64 #s(literal 1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (*.f64 re (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/1728 binary64) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/24 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64) #s(literal -1/4 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/1728 binary64) #s(literal 1/8 binary64)) re) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/24 binary64))))) |
(/.f64 (*.f64 re (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64) #s(literal -1/4 binary64))) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal -1/2 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64) #s(literal -1/4 binary64)) re))) |
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(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) re) re)) |
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) |
(*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/144 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/13824000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/1728 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 re re) #s(literal -1/2880 binary64))))))) |
(*.f64 (fma.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/144 binary64)) (pow.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal 1/12 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/13824000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/1728 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64)) (*.f64 (*.f64 re re) #s(literal 1/2880 binary64)))))) |
(*.f64 (fma.f64 #s(literal 1/13824000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/1728 binary64)) (pow.f64 (fma.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 re re) #s(literal -1/2880 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal 1/12 binary64))) (/.f64 (*.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal 1/12 binary64)))) (*.f64 (/.f64 #s(literal -1/144 binary64) (fma.f64 #s(literal -1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))) (/.f64 #s(literal -1/144 binary64) (fma.f64 #s(literal -1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal 1/12 binary64))) (/.f64 #s(literal -1/144 binary64) (fma.f64 #s(literal -1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal 1/12 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/144 binary64) (fma.f64 #s(literal -1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal 1/12 binary64))) (/.f64 (*.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal 1/12 binary64))) (fma.f64 (/.f64 #s(literal -1/144 binary64) (fma.f64 #s(literal -1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))) (/.f64 #s(literal -1/144 binary64) (fma.f64 #s(literal -1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal 1/12 binary64))) (/.f64 #s(literal -1/144 binary64) (fma.f64 #s(literal -1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/144 binary64)))) (neg.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/13824000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/1728 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 re re) #s(literal -1/2880 binary64))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 4 binary64)) #s(literal 1/20736 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64)) (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal 1/12 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/191102976000000 binary64) (pow.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/2985984 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 4 binary64)) (+.f64 #s(literal 1/20736 binary64) (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/8294400 binary64)))) (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal 1/12 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/191102976000000 binary64) (pow.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/2985984 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/13824000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/1728 binary64)) (fma.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 re re) #s(literal -1/2880 binary64)))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2641807540224000000000 binary64) (pow.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal -1/5159780352 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/191102976000000 binary64) (pow.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/2985984 binary64) (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/23887872000 binary64)))) (fma.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 re re) #s(literal -1/2880 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal 1/12 binary64))) (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal 1/12 binary64)) #s(literal 1/144 binary64))) (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal 1/12 binary64)) (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal 1/12 binary64)))) |
(/.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64)))) (-.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 1/240 binary64) (*.f64 re re)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/144 binary64))) (fma.f64 #s(literal -1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/13824000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/1728 binary64))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64)) (*.f64 (*.f64 re re) #s(literal 1/2880 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/13824000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/1728 binary64))) (neg.f64 (fma.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 re re) #s(literal -1/2880 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/144 binary64)) (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal 1/12 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/13824000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/1728 binary64)) (+.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64)) (*.f64 (*.f64 re re) #s(literal 1/2880 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/13824000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/1728 binary64)) (fma.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 re re) #s(literal -1/2880 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64)) (*.f64 (*.f64 re re) #s(literal 1/2880 binary64)))) (fma.f64 #s(literal 1/13824000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/1728 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #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 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/144 binary64))) (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal 1/12 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/13824000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/1728 binary64))) (fma.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 re re) #s(literal -1/2880 binary64)))))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/144 binary64)) (fma.f64 #s(literal -1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/13824000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/1728 binary64)) (neg.f64 (fma.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 re re) #s(literal -1/2880 binary64))))))) |
(fma.f64 (*.f64 #s(literal 1/240 binary64) re) re #s(literal -1/12 binary64)) |
(fma.f64 (*.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal 1/12 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/144 binary64) (fma.f64 #s(literal -1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))))) |
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) |
(fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) |
(fma.f64 re (*.f64 #s(literal 1/240 binary64) re) #s(literal -1/12 binary64)) |
(-.f64 (/.f64 #s(literal 1/144 binary64) (-.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 1/240 binary64) (*.f64 re re)))) (/.f64 (*.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal 1/12 binary64))) (/.f64 #s(literal -1/144 binary64) (fma.f64 #s(literal -1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal 1/12 binary64))) (neg.f64 (/.f64 #s(literal -1/144 binary64) (fma.f64 #s(literal -1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))))) |
(+.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal -1/12 binary64)) |
(+.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) |
Compiled 11 831 to 1 515 computations (87.2% saved)
19 alts after pruning (13 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 318 | 9 | 327 |
| Fresh | 2 | 4 | 6 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 320 | 19 | 339 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 72.7% | (*.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)))) |
| ✓ | 100.0% | (*.f64 (sin.f64 re) (cosh.f64 im)) |
| ▶ | 91.4% | (*.f64 (sin.f64 re) #s(approx (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)))) |
| 84.8% | (*.f64 (sin.f64 re) #s(approx (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)))) | |
| 34.0% | (*.f64 #s(approx (* 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) | |
| 62.0% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (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))))) | |
| 51.9% | (*.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)))) | |
| ✓ | 39.4% | (*.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)) #s(literal 2 binary64))) |
| 48.2% | (*.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)))) | |
| ✓ | 34.0% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
| ▶ | 39.3% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
| ▶ | 34.0% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #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))) |
| 10.9% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) | |
| ▶ | 61.7% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (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))))) |
| 58.4% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64))))) | |
| ▶ | 50.5% | (*.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)))) |
| ✓ | 26.3% | (*.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))) |
| ✓ | 47.7% | #s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) |
| 89.6% | #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (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))) |
Compiled 840 to 633 computations (24.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (exp (- 0 im)) (exp im)) (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)))) | |
| 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 (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))))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) re) | |
| cost-diff | 0 | #s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #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))) | |
| cost-diff | 4 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re) | |
| cost-diff | 0 | #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) 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 | (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 (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 | (sin.f64 re) | |
| cost-diff | 0 | (*.f64 (sin.f64 re) #s(approx (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)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 467 |
| 0 | 84 | 443 |
| 1 | 149 | 443 |
| 2 | 256 | 443 |
| 3 | 481 | 443 |
| 4 | 792 | 443 |
| 5 | 1136 | 443 |
| 6 | 1504 | 443 |
| 7 | 1912 | 443 |
| 8 | 2542 | 443 |
| 9 | 2910 | 443 |
| 10 | 3668 | 443 |
| 11 | 6076 | 443 |
| 12 | 7480 | 443 |
| 13 | 7743 | 443 |
| 14 | 7837 | 443 |
| 15 | 7858 | 443 |
| 16 | 7859 | 443 |
| 0 | 8005 | 438 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 re) #s(approx (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) |
re |
#s(approx (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) |
(*.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 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) |
#s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) |
(*.f64 #s(literal 1/240 binary64) (*.f64 re re)) |
#s(literal 1/240 binary64) |
(*.f64 re re) |
re |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #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))) |
#s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) re)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) re) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) |
#s(literal -1/12 binary64) |
(*.f64 re re) |
re |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) |
#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 (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))))) |
#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 (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)))) |
(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))) |
(pow.f64 im #s(literal 4 binary64)) |
im |
#s(literal 4 binary64) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) |
#s(literal 1/360 binary64) |
(*.f64 im im) |
#s(literal 1/12 binary64) |
(fma.f64 im im #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 (sin.f64 re) #s(approx (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)))) |
(*.f64 #s(approx (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)) |
(sin.f64 re) |
re |
#s(approx (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 (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) |
(*.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 #s(literal 1/2 binary64) re))) |
#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 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) #s(approx (* 1/2 (sin re)) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 (*.f64 re re) #s(literal 1/240 binary64))) (*.f64 #s(literal 1/2 binary64) re)))) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) |
#s(approx (* 1/2 (sin re)) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 (*.f64 re re) #s(literal 1/240 binary64))) (*.f64 #s(literal 1/2 binary64) re))) |
(*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 (*.f64 re re) #s(literal 1/240 binary64))) (*.f64 #s(literal 1/2 binary64) re)) |
(fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 (*.f64 re re) #s(literal 1/240 binary64))) (*.f64 re re) #s(literal 1/2 binary64)) |
#s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) |
#s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 (*.f64 re re) #s(literal 1/240 binary64))) |
(*.f64 #s(literal 1/240 binary64) (*.f64 re re)) |
(*.f64 (*.f64 re re) #s(literal 1/240 binary64)) |
#s(literal 1/240 binary64) |
(*.f64 re re) |
re |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #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 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) re)) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) re) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
#s(literal -1/12 binary64) |
(*.f64 re re) |
re |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) |
#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 (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))))) |
(*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/12 binary64) im) im (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 binary64) #s(literal 2 binary64)))) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))) |
#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 (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)))) |
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/12 binary64) im) im (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 binary64) #s(literal 2 binary64)))) |
(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))) |
(fma.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/12 binary64) im) im (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 binary64) #s(literal 2 binary64))) |
(pow.f64 im #s(literal 4 binary64)) |
im |
#s(literal 4 binary64) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) |
#s(literal 1/360 binary64) |
(*.f64 im im) |
#s(literal 1/12 binary64) |
(fma.f64 im im #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03515625 | (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))) | |
| accuracy | 0.0703125 | (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) | |
| accuracy | 5.434863115970265 | #s(approx (+ (exp (- 0 im)) (exp im)) (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)))) | |
| accuracy | 30.665096341280304 | #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) | |
| accuracy | 0.07421875 | (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) | |
| accuracy | 0.23965508060459062 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) | |
| accuracy | 30.930725893485143 | #s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) re)) | |
| accuracy | 33.33848341888168 | #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) | |
| accuracy | 0.13671875 | (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) | |
| accuracy | 30.757556433100135 | #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) | |
| accuracy | 31.83740550917798 | #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) | |
| accuracy | 33.33848341888168 | #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) | |
| accuracy | 0.0 | (*.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 | 17.28644268850654 | #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) | |
| accuracy | 30.665096341280304 | #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) | |
| 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 | 0.05078125 | (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 | 0.0703125 | (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) | |
| accuracy | 5.4353291232759515 | #s(approx (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))) |
| 170.0ms | 256× | 0 | valid |
Compiled 303 to 49 computations (83.8% saved)
ival-sub: 78.0ms (53% of total)ival-mult: 22.0ms (15% of total)const: 16.0ms (10.9% of total)ival-add: 12.0ms (8.2% of total)ival-sin: 6.0ms (4.1% of total)ival-exp: 4.0ms (2.7% of total)ival-div: 3.0ms (2% of total)ival-cosh: 3.0ms (2% of total)ival-pow: 3.0ms (2% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (sin.f64 re) #s(approx (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 (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)) |
(*.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 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #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))) |
#s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) re)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) re) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (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))))) |
#s(approx (+ (exp (- 0 im)) (exp im)) (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)))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 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 (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) |
#s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) |
(*.f64 #s(literal 1/240 binary64) (*.f64 re re)) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) |
(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))) |
| 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 |
(* 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)))) |
1/2 |
(+ 1/2 (* -1/12 (pow re 2))) |
(+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))) |
-1/12 |
(- (* 1/240 (pow re 2)) 1/12) |
(* 1/240 (pow re 2)) |
2 |
(+ 2 (* 1/3 (pow re 2))) |
(+ 2 (* (pow re 2) (+ 1/3 (* 1/18 (pow re 2))))) |
(+ 2 (* (pow re 2) (+ 1/3 (* (pow re 2) (+ 1/18 (* 1/108 (pow re 2))))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(sin re) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (sin re)) |
(* 1/240 (pow re 5)) |
(* (pow re 5) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(* (pow re 5) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2))))) |
(* 1/240 (pow re 4)) |
(* (pow re 4) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(* (pow re 4) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2))))) |
(* -1/12 (pow re 2)) |
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(* -1/12 (pow re 3)) |
(* (pow re 3) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(* (pow re 2) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(/ -12 (pow re 2)) |
(* -1 (/ (+ 12 (* 72 (/ 1 (pow re 2)))) (pow re 2))) |
(/ (- (* -1 (/ (+ 72 (* 432 (/ 1 (pow re 2)))) (pow re 2))) 12) (pow re 2)) |
(/ (- (* -1 (/ (+ 432 (* 2592 (/ 1 (pow re 2)))) (pow re 4))) (+ 12 (* 72 (/ 1 (pow re 2))))) (pow re 2)) |
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) 1/240))) |
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) (+ 1/240 (/ 1/2 (pow re 4)))))) |
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 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 (* 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))))))) |
(+ 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))))))) |
1/24 |
(+ 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))))) |
1/12 |
(+ 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)))))) |
(+ (exp im) (exp (neg im))) |
(* 1/720 (pow im 2)) |
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(* 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)))))) |
(* 1/360 (pow im 2)) |
(* (pow im 2) (+ 1/360 (* 1/12 (/ 1 (pow im 2))))) |
(* 1/360 (pow im 6)) |
(* (pow im 6) (+ 1/360 (* 1/12 (/ 1 (pow im 2))))) |
(* (pow im 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow im 2))) (/ 1 (pow im 4))))) |
(* (pow im 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow im 2))) (+ (/ 1 (pow im 4)) (* 2 (/ 1 (pow im 6))))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(+ (exp im) (exp (* -1 im))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | im | @ | inf | ((* (sin re) (cosh im)) (sin re) (cosh im) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (* (* 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)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (/ 1 (/ 1 (+ (* -1/12 (* re re)) 1/2))) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (/ 1 (/ 1 (+ (* -1/12 (* re re)) 1/2))) re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (exp (- 0 im)) (exp im)) (+ (* 1/240 (* re re)) -1/12) (* 1/240 (* re re)) (/ 1 (+ (* -1/12 (* re re)) 1/2)) (+ (* -1/12 (* re re)) 1/2) (+ (* 1/360 (* im im)) 1/12) (+ (* (pow im 4) (+ (* 1/360 (* im im)) 1/12)) (+ (* im im) 2))) |
| 3.0ms | re | @ | inf | ((* (sin re) (cosh im)) (sin re) (cosh im) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (* (* 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)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (/ 1 (/ 1 (+ (* -1/12 (* re re)) 1/2))) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (/ 1 (/ 1 (+ (* -1/12 (* re re)) 1/2))) re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (exp (- 0 im)) (exp im)) (+ (* 1/240 (* re re)) -1/12) (* 1/240 (* re re)) (/ 1 (+ (* -1/12 (* re re)) 1/2)) (+ (* -1/12 (* re re)) 1/2) (+ (* 1/360 (* im im)) 1/12) (+ (* (pow im 4) (+ (* 1/360 (* im im)) 1/12)) (+ (* im im) 2))) |
| 2.0ms | re | @ | -inf | ((* (sin re) (cosh im)) (sin re) (cosh im) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (* (* 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)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (/ 1 (/ 1 (+ (* -1/12 (* re re)) 1/2))) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (/ 1 (/ 1 (+ (* -1/12 (* re re)) 1/2))) re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (exp (- 0 im)) (exp im)) (+ (* 1/240 (* re re)) -1/12) (* 1/240 (* re re)) (/ 1 (+ (* -1/12 (* re re)) 1/2)) (+ (* -1/12 (* re re)) 1/2) (+ (* 1/360 (* im im)) 1/12) (+ (* (pow im 4) (+ (* 1/360 (* im im)) 1/12)) (+ (* im im) 2))) |
| 2.0ms | im | @ | -inf | ((* (sin re) (cosh im)) (sin re) (cosh im) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (* (* 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)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (/ 1 (/ 1 (+ (* -1/12 (* re re)) 1/2))) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (/ 1 (/ 1 (+ (* -1/12 (* re re)) 1/2))) re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (exp (- 0 im)) (exp im)) (+ (* 1/240 (* re re)) -1/12) (* 1/240 (* re re)) (/ 1 (+ (* -1/12 (* re re)) 1/2)) (+ (* -1/12 (* re re)) 1/2) (+ (* 1/360 (* im im)) 1/12) (+ (* (pow im 4) (+ (* 1/360 (* im im)) 1/12)) (+ (* im im) 2))) |
| 2.0ms | re | @ | 0 | ((* (sin re) (cosh im)) (sin re) (cosh im) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (* (* 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)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (/ 1 (/ 1 (+ (* -1/12 (* re re)) 1/2))) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (/ 1 (/ 1 (+ (* -1/12 (* re re)) 1/2))) re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (exp (- 0 im)) (exp im)) (+ (* 1/240 (* re re)) -1/12) (* 1/240 (* re re)) (/ 1 (+ (* -1/12 (* re re)) 1/2)) (+ (* -1/12 (* re re)) 1/2) (+ (* 1/360 (* im im)) 1/12) (+ (* (pow im 4) (+ (* 1/360 (* im im)) 1/12)) (+ (* im im) 2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 251 | 1012 |
| 1 | 809 | 951 |
| 2 | 2252 | 930 |
| 3 | 5395 | 910 |
| 4 | 7541 | 910 |
| 0 | 8045 | 847 |
| 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 |
(* 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)))) |
1/2 |
(+ 1/2 (* -1/12 (pow re 2))) |
(+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))) |
-1/12 |
(- (* 1/240 (pow re 2)) 1/12) |
(* 1/240 (pow re 2)) |
2 |
(+ 2 (* 1/3 (pow re 2))) |
(+ 2 (* (pow re 2) (+ 1/3 (* 1/18 (pow re 2))))) |
(+ 2 (* (pow re 2) (+ 1/3 (* (pow re 2) (+ 1/18 (* 1/108 (pow re 2))))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(sin re) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (sin re)) |
(* 1/240 (pow re 5)) |
(* (pow re 5) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(* (pow re 5) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2))))) |
(* 1/240 (pow re 4)) |
(* (pow re 4) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(* (pow re 4) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2))))) |
(* -1/12 (pow re 2)) |
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(* -1/12 (pow re 3)) |
(* (pow re 3) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(* (pow re 2) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(/ -12 (pow re 2)) |
(* -1 (/ (+ 12 (* 72 (/ 1 (pow re 2)))) (pow re 2))) |
(/ (- (* -1 (/ (+ 72 (* 432 (/ 1 (pow re 2)))) (pow re 2))) 12) (pow re 2)) |
(/ (- (* -1 (/ (+ 432 (* 2592 (/ 1 (pow re 2)))) (pow re 4))) (+ 12 (* 72 (/ 1 (pow re 2))))) (pow re 2)) |
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) 1/240))) |
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) (+ 1/240 (/ 1/2 (pow re 4)))))) |
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 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 (* 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))))))) |
(+ 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))))))) |
1/24 |
(+ 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))))) |
1/12 |
(+ 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)))))) |
(+ (exp im) (exp (neg im))) |
(* 1/720 (pow im 2)) |
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(* 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)))))) |
(* 1/360 (pow im 2)) |
(* (pow im 2) (+ 1/360 (* 1/12 (/ 1 (pow im 2))))) |
(* 1/360 (pow im 6)) |
(* (pow im 6) (+ 1/360 (* 1/12 (/ 1 (pow im 2))))) |
(* (pow im 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow im 2))) (/ 1 (pow im 4))))) |
(* (pow im 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow im 2))) (+ (/ 1 (pow im 4)) (* 2 (/ 1 (pow im 6))))))) |
(* 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 (*.f64 re re) #s(literal 1/240 binary64) #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)))) |
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 #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 (*.f64 re re) #s(literal 1/240 binary64) #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 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
1/2 |
#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 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
-1/12 |
#s(literal -1/12 binary64) |
(- (* 1/240 (pow re 2)) 1/12) |
(fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) |
(* 1/240 (pow re 2)) |
(*.f64 (*.f64 re re) #s(literal 1/240 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 1/3 (pow re 2))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 re re) #s(literal 2 binary64)) |
(+ 2 (* (pow re 2) (+ 1/3 (* 1/18 (pow re 2))))) |
(fma.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 re re) #s(literal 1/3 binary64)) (*.f64 re re) #s(literal 2 binary64)) |
(+ 2 (* (pow re 2) (+ 1/3 (* (pow re 2) (+ 1/18 (* 1/108 (pow re 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/108 binary64) (*.f64 re re) #s(literal 1/18 binary64)) (*.f64 re re) #s(literal 1/3 binary64)) (*.f64 re re) #s(literal 2 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)) |
(sin re) |
(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)) |
(* 1/240 (pow re 5)) |
(*.f64 (pow.f64 re #s(literal 5 binary64)) #s(literal 1/240 binary64)) |
(* (pow re 5) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(*.f64 (-.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 re re))) (pow.f64 re #s(literal 5 binary64))) |
(* (pow re 5) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/12 binary64) (*.f64 re re)) (-.f64 #s(literal -1/240 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 binary64))))) (pow.f64 re #s(literal 5 binary64))) |
(* 1/240 (pow re 4)) |
(*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/240 binary64)) |
(* (pow re 4) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 re re)))) |
(* (pow re 4) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/12 binary64) (*.f64 re re)) (-.f64 #s(literal -1/240 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 binary64))))) (pow.f64 re #s(literal 4 binary64))) |
(* -1/12 (pow re 2)) |
(*.f64 (*.f64 re re) #s(literal -1/12 binary64)) |
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re) |
(* -1/12 (pow re 3)) |
(*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/12 binary64)) |
(* (pow re 3) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (pow.f64 re #s(literal 3 binary64))) |
(* (pow re 2) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 re re))) re) re) |
(/ -12 (pow re 2)) |
(/.f64 #s(literal -12 binary64) (*.f64 re re)) |
(* -1 (/ (+ 12 (* 72 (/ 1 (pow re 2)))) (pow re 2))) |
(/.f64 (/.f64 (-.f64 #s(literal -12 binary64) (/.f64 #s(literal 72 binary64) (*.f64 re re))) re) re) |
(/ (- (* -1 (/ (+ 72 (* 432 (/ 1 (pow re 2)))) (pow re 2))) 12) (pow re 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 #s(literal 432 binary64) (*.f64 re re))) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 12 binary64) re)) re) |
(/ (- (* -1 (/ (+ 432 (* 2592 (/ 1 (pow re 2)))) (pow re 4))) (+ 12 (* 72 (/ 1 (pow re 2))))) (pow re 2)) |
(/.f64 (-.f64 (-.f64 #s(literal -12 binary64) (/.f64 #s(literal 72 binary64) (*.f64 re re))) (/.f64 (+.f64 (/.f64 #s(literal 2592 binary64) (*.f64 re re)) #s(literal 432 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 re re)) |
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) 1/240))) |
(*.f64 (-.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 re re))) (pow.f64 re #s(literal 5 binary64))) |
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) (+ 1/240 (/ 1/2 (pow re 4)))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/12 binary64) (*.f64 re re)) (-.f64 #s(literal -1/240 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 binary64))))) (pow.f64 re #s(literal 5 binary64))) |
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (pow.f64 re #s(literal 3 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)) |
(+ 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))) |
1/24 |
#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)) |
(+ 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)) |
1/12 |
#s(literal 1/12 binary64) |
(+ 1/12 (* 1/360 (pow im 2))) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 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 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)) |
(+ (exp im) (exp (neg im))) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 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)) |
(* 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))) |
(* 1/360 (pow im 2)) |
(*.f64 #s(literal 1/360 binary64) (*.f64 im im)) |
(* (pow im 2) (+ 1/360 (* 1/12 (/ 1 (pow im 2))))) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) |
(* 1/360 (pow im 6)) |
(*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 binary64)) |
(* (pow im 6) (+ 1/360 (* 1/12 (/ 1 (pow im 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 im im)) #s(literal 1/360 binary64)) (pow.f64 im #s(literal 6 binary64))) |
(* (pow im 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow im 2))) (/ 1 (pow im 4))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/360 binary64)) (/.f64 #s(literal 1/12 binary64) (*.f64 im im))) (pow.f64 im #s(literal 6 binary64))) |
(* (pow im 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow im 2))) (+ (/ 1 (pow im 4)) (* 2 (/ 1 (pow im 6))))))) |
(fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/360 binary64)) (/.f64 #s(literal 1/12 binary64) (*.f64 im im))) (pow.f64 im #s(literal 6 binary64)) #s(literal 2 binary64)) |
(* 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 | 54 | 398 |
| 0 | 84 | 375 |
| 1 | 306 | 361 |
| 2 | 2014 | 361 |
| 0 | 8219 | 356 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 re) #s(approx (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 (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)) |
(*.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 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #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))) |
#s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) re)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) re) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (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))))) |
#s(approx (+ (exp (- 0 im)) (exp im)) (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)))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 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 (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) |
#s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) |
(*.f64 #s(literal 1/240 binary64) (*.f64 re re)) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) |
(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))) |
| Outputs |
|---|
(*.f64 #s(approx (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)) |
(*.f64 (sin.f64 re) #s(approx (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 (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 (-.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 (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 (-.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 (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)))) |
(/.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 (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 #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 #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)))) |
(/.f64 #s(literal 1 binary64) (/.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)))) |
(fma.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) (*.f64 im #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.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)) |
(fma.f64 (*.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) #s(literal 1 binary64)) |
(fma.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) #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 (*.f64 im im) #s(literal 1 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)) |
(fma.f64 (*.f64 im im) (*.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 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 im im) (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 1 binary64)) |
(fma.f64 im (*.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) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 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 (*.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 (/.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))) (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 (*.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)) |
(+.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 #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(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) |
(*.f64 re #s(literal 1/2 binary64)) |
#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)) #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 (*.f64 re re) #s(literal 1/240 binary64))) (*.f64 re re) #s(literal 1/2 binary64)) re))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 (*.f64 re re) #s(literal 1/240 binary64))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 (*.f64 re re) #s(literal 1/240 binary64))) (*.f64 re re) #s(literal 1/2 binary64)) re)) |
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(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 12 binary64)) (pow.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 8 binary64)) (*.f64 (fma.f64 im im #s(literal 2 binary64)) (-.f64 (fma.f64 im im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (pow.f64 im #s(literal 4 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 im im #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 8 binary64))) (pow.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 8 binary64)) (*.f64 (fma.f64 im im #s(literal 2 binary64)) (-.f64 (fma.f64 im im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (pow.f64 im #s(literal 4 binary64)))))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 12 binary64)) (pow.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 im im #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 8 binary64))) (pow.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 8 binary64)) (*.f64 (fma.f64 im im #s(literal 2 binary64)) (-.f64 (fma.f64 im im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (pow.f64 im #s(literal 4 binary64)))))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 12 binary64)) (pow.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 im im)) (*.f64 im im)) (*.f64 im im) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 im im #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 #s(literal 1/360 binary64) im)) im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 im im #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/360 binary64)) (*.f64 im im) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 im im #s(literal 2 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/360 binary64) im) (*.f64 im (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 im im #s(literal 2 binary64)))) |
(fma.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 im im #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (pow.f64 im #s(literal 4 binary64)))) |
(fma.f64 (+.f64 #s(literal 8 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 im im))) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (pow.f64 im #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 im im #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 im) (neg.f64 im) (+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (pow.f64 im #s(literal 4 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 im im)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 im im #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 6 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 im im #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 #s(literal 1/360 binary64) (*.f64 im im)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 im im #s(literal 2 binary64)))) |
(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))) |
(fma.f64 (*.f64 im im) (*.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 im im #s(literal 2 binary64)))) |
(fma.f64 (*.f64 im im) (*.f64 (*.f64 im im) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64))) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 #s(literal 1/360 binary64) (*.f64 im im))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 im im #s(literal 2 binary64)))) |
(fma.f64 im im (+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (pow.f64 im #s(literal 4 binary64))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (*.f64 im im))) #s(literal 2 binary64)) (-.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (*.f64 im im))) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (*.f64 im im))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 im im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (pow.f64 im #s(literal 4 binary64))))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 8 binary64))) (-.f64 (fma.f64 im im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (pow.f64 im #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 8 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 im im #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 im im #s(literal 2 binary64))))) |
(+.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 im im)) |
(+.f64 (+.f64 (fma.f64 im im #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))) |
(+.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (*.f64 im im))) #s(literal 2 binary64)) |
(+.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 im im #s(literal 2 binary64)))) |
(+.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 im im #s(literal 2 binary64))) |
(+.f64 (fma.f64 im im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (pow.f64 im #s(literal 4 binary64)))) |
(+.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (*.f64 im im)))) |
(+.f64 (*.f64 im im) (+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (pow.f64 im #s(literal 4 binary64))))) |
Compiled 26 332 to 2 832 computations (89.2% saved)
25 alts after pruning (17 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 551 | 14 | 565 |
| Fresh | 5 | 3 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 5 | 6 |
| Total | 559 | 25 | 584 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 72.7% | (*.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)))) |
| ✓ | 100.0% | (*.f64 (sin.f64 re) (cosh.f64 im)) |
| 91.4% | (*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) | |
| 91.4% | (*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) | |
| 84.8% | (*.f64 (sin.f64 re) #s(approx (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)))) | |
| 91.1% | (*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)) (*.f64 im im) #s(literal 1 binary64)))) | |
| 34.0% | (*.f64 #s(approx (* 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) | |
| 51.9% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #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)))) | |
| 48.2% | (*.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)))) | |
| ✓ | 34.0% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
| ✓ | 39.3% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
| ✓ | 34.0% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #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))) |
| 26.0% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/12 (* re re)) 1/2)) (fma.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 re re) #s(literal 1/3 binary64)) (*.f64 re re) #s(literal 2 binary64)))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) | |
| 26.1% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/12 (* re re)) 1/2)) (fma.f64 #s(literal 1/3 binary64) (*.f64 re re) #s(literal 2 binary64)))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) | |
| 10.9% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/12 (* re re)) 1/2)) (/.f64 (/.f64 (-.f64 #s(literal -12 binary64) (/.f64 #s(literal 72 binary64) (*.f64 re re))) re) re))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) | |
| 31.6% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (/ 1 (/ 1 (+ (* -1/12 (* re re)) 1/2))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) | |
| 10.9% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (/ 1 (/ 1 (+ (* -1/12 (* re re)) 1/2))) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) | |
| 61.7% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/360 binary64) im) im #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))))) | |
| 61.7% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64))))) | |
| ✓ | 50.5% | (*.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)))) |
| 39.1% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(approx (+ (* (pow im 4) (+ (* 1/360 (* im im)) 1/12)) (+ (* im im) 2)) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 binary64))))) | |
| ✓ | 26.3% | (*.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))) |
| 62.0% | (*.f64 #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 (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)))) | |
| ✓ | 47.7% | #s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) |
| 89.6% | #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (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))) |
Compiled 1 743 to 765 computations (56.1% 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 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (/ 1 (/ 1 (+ (* -1/12 (* re re)) 1/2))) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) 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)) #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 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.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 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/12 (* re re)) 1/2)) (fma.f64 #s(literal 1/3 binary64) (*.f64 re re) #s(literal 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(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(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 (*.f64 re re) #s(literal 1/240 binary64) #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 re (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 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(approx (/ 1 (/ 1 (+ (* -1/12 (* re re)) 1/2))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/12 (* re re)) 1/2)) (fma.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 re re) #s(literal 1/3 binary64)) (*.f64 re re) #s(literal 2 binary64)))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #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 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/12 (* re re)) 1/2)) (/.f64 (/.f64 (-.f64 #s(literal -12 binary64) (/.f64 #s(literal 72 binary64) (*.f64 re re))) re) re))) re)) #s(approx (+ (exp (- 0 im)) (exp 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 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(approx (+ (* (pow im 4) (+ (* 1/360 (* im im)) 1/12)) (+ (* im im) 2)) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 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 (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (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 (sin.f64 re) #s(approx (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)))) |
(*.f64 (sin.f64 re) #s(approx (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)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (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))))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/360 binary64) im) im #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)) (*.f64 im 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 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 re) #s(approx (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)))) |
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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 (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)))) |
(*.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 (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))))) |
(*.f64 (sin.f64 re) (cosh.f64 im)) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) |
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (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 |
|---|
(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))) |
6 calls:
| 37.0ms | (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| 18.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 14.0ms | re |
| 11.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 10.0ms | (sin.f64 re) |
| 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 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (/ 1 (/ 1 (+ (* -1/12 (* re re)) 1/2))) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) 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)) #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 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.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 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/12 (* re re)) 1/2)) (fma.f64 #s(literal 1/3 binary64) (*.f64 re re) #s(literal 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(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(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 (*.f64 re re) #s(literal 1/240 binary64) #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 re (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 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(approx (/ 1 (/ 1 (+ (* -1/12 (* re re)) 1/2))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/12 (* re re)) 1/2)) (fma.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 re re) #s(literal 1/3 binary64)) (*.f64 re re) #s(literal 2 binary64)))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #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 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/12 (* re re)) 1/2)) (/.f64 (/.f64 (-.f64 #s(literal -12 binary64) (/.f64 #s(literal 72 binary64) (*.f64 re re))) re) re))) re)) #s(approx (+ (exp (- 0 im)) (exp 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 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(approx (+ (* (pow im 4) (+ (* 1/360 (* im im)) 1/12)) (+ (* im im) 2)) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 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 (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (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 (sin.f64 re) #s(approx (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)))) |
(*.f64 (sin.f64 re) #s(approx (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)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (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))))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/360 binary64) im) im #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)) (*.f64 im 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 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 re) #s(approx (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)))) |
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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 (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)))) |
(*.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 (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))))) |
(*.f64 (sin.f64 re) (cosh.f64 im)) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) |
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (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))) |
| Outputs |
|---|
(*.f64 (sin.f64 re) (cosh.f64 im)) |
6 calls:
| 35.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 28.0ms | im |
| 10.0ms | re |
| 10.0ms | (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 |
|---|---|---|
| 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 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (/ 1 (/ 1 (+ (* -1/12 (* re re)) 1/2))) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) 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)) #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 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.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 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/12 (* re re)) 1/2)) (fma.f64 #s(literal 1/3 binary64) (*.f64 re re) #s(literal 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(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(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 (*.f64 re re) #s(literal 1/240 binary64) #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 re (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 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(approx (/ 1 (/ 1 (+ (* -1/12 (* re re)) 1/2))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/12 (* re re)) 1/2)) (fma.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 re re) #s(literal 1/3 binary64)) (*.f64 re re) #s(literal 2 binary64)))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #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 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/12 (* re re)) 1/2)) (/.f64 (/.f64 (-.f64 #s(literal -12 binary64) (/.f64 #s(literal 72 binary64) (*.f64 re re))) re) re))) re)) #s(approx (+ (exp (- 0 im)) (exp 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 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(approx (+ (* (pow im 4) (+ (* 1/360 (* im im)) 1/12)) (+ (* im im) 2)) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 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 (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (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 (sin.f64 re) #s(approx (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)))) |
(*.f64 (sin.f64 re) #s(approx (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)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (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))))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/360 binary64) im) im #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)) (*.f64 im 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 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 re) #s(approx (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)))) |
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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 (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)))) |
(*.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 (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))))) |
| 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 (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)) |
6 calls:
| 23.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 10.0ms | (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| 9.0ms | (sin.f64 re) |
| 9.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 9.0ms | im |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.4% | 1 | re |
| 94.7% | 3 | im |
| 93.3% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 91.4% | 1 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 91.4% | 1 | (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 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (/ 1 (/ 1 (+ (* -1/12 (* re re)) 1/2))) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) 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)) #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 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.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 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/12 (* re re)) 1/2)) (fma.f64 #s(literal 1/3 binary64) (*.f64 re re) #s(literal 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(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(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 (*.f64 re re) #s(literal 1/240 binary64) #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 re (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 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(approx (/ 1 (/ 1 (+ (* -1/12 (* re re)) 1/2))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/12 (* re re)) 1/2)) (fma.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 re re) #s(literal 1/3 binary64)) (*.f64 re re) #s(literal 2 binary64)))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #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 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/12 (* re re)) 1/2)) (/.f64 (/.f64 (-.f64 #s(literal -12 binary64) (/.f64 #s(literal 72 binary64) (*.f64 re re))) re) re))) re)) #s(approx (+ (exp (- 0 im)) (exp 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 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(approx (+ (* (pow im 4) (+ (* 1/360 (* im im)) 1/12)) (+ (* im im) 2)) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 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 (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (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 (sin.f64 re) #s(approx (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)))) |
(*.f64 (sin.f64 re) #s(approx (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)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (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))))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/360 binary64) im) im #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)) (*.f64 im im) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.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 (* 1/2 (sin re)) (*.f64 #s(approx (/ 1 (/ 1 (+ (* -1/12 (* re re)) 1/2))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)) (*.f64 im im) #s(literal 1 binary64)))) |
2 calls:
| 8.0ms | im |
| 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 |
|---|---|---|
| 94.7% | 3 | im |
| 93.0% | 2 | (*.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 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (/ 1 (/ 1 (+ (* -1/12 (* re re)) 1/2))) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) 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)) #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 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.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 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/12 (* re re)) 1/2)) (fma.f64 #s(literal 1/3 binary64) (*.f64 re re) #s(literal 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(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(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 (*.f64 re re) #s(literal 1/240 binary64) #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 re (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 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(approx (/ 1 (/ 1 (+ (* -1/12 (* re re)) 1/2))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/12 (* re re)) 1/2)) (fma.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 re re) #s(literal 1/3 binary64)) (*.f64 re re) #s(literal 2 binary64)))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #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 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/12 (* re re)) 1/2)) (/.f64 (/.f64 (-.f64 #s(literal -12 binary64) (/.f64 #s(literal 72 binary64) (*.f64 re re))) re) re))) re)) #s(approx (+ (exp (- 0 im)) (exp 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 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(approx (+ (* (pow im 4) (+ (* 1/360 (* im im)) 1/12)) (+ (* im im) 2)) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 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 (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (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 (sin.f64 re) #s(approx (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)))) |
(*.f64 (sin.f64 re) #s(approx (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)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (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))))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/360 binary64) im) im #s(literal 1/12 binary64)) (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 (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 (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64))))) |
6 calls:
| 23.0ms | im |
| 17.0ms | (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| 8.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 7.0ms | (sin.f64 re) |
| 7.0ms | re |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.8% | 1 | (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| 87.6% | 2 | re |
| 84.8% | 1 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 84.8% | 1 | (sin.f64 re) |
| 94.0% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 92.8% | 4 | 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 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (/ 1 (/ 1 (+ (* -1/12 (* re re)) 1/2))) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) 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)) #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 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.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 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/12 (* re re)) 1/2)) (fma.f64 #s(literal 1/3 binary64) (*.f64 re re) #s(literal 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(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(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 (*.f64 re re) #s(literal 1/240 binary64) #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 re (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 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(approx (/ 1 (/ 1 (+ (* -1/12 (* re re)) 1/2))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/12 (* re re)) 1/2)) (fma.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 re re) #s(literal 1/3 binary64)) (*.f64 re re) #s(literal 2 binary64)))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #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 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/12 (* re re)) 1/2)) (/.f64 (/.f64 (-.f64 #s(literal -12 binary64) (/.f64 #s(literal 72 binary64) (*.f64 re re))) re) re))) re)) #s(approx (+ (exp (- 0 im)) (exp 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 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(approx (+ (* (pow im 4) (+ (* 1/360 (* im im)) 1/12)) (+ (* im im) 2)) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 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 (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (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 (*.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 (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64))))) |
1 calls:
| 6.0ms | (*.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 |
|---|---|---|
| 94.0% | 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 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (/ 1 (/ 1 (+ (* -1/12 (* re re)) 1/2))) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) 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)) #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 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.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 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/12 (* re re)) 1/2)) (fma.f64 #s(literal 1/3 binary64) (*.f64 re re) #s(literal 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(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(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 (*.f64 re re) #s(literal 1/240 binary64) #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 re (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 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(approx (/ 1 (/ 1 (+ (* -1/12 (* re re)) 1/2))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/12 (* re re)) 1/2)) (fma.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 re re) #s(literal 1/3 binary64)) (*.f64 re re) #s(literal 2 binary64)))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #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 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/12 (* re re)) 1/2)) (/.f64 (/.f64 (-.f64 #s(literal -12 binary64) (/.f64 #s(literal 72 binary64) (*.f64 re re))) re) re))) re)) #s(approx (+ (exp (- 0 im)) (exp 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 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(approx (+ (* (pow im 4) (+ (* 1/360 (* im im)) 1/12)) (+ (* im im) 2)) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 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)))) |
#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 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 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 |
|---|---|---|
| 93.7% | 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 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (/ 1 (/ 1 (+ (* -1/12 (* re re)) 1/2))) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) 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)) #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 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.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 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/12 (* re re)) 1/2)) (fma.f64 #s(literal 1/3 binary64) (*.f64 re re) #s(literal 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(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(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 (*.f64 re re) #s(literal 1/240 binary64) #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 re (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 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(approx (/ 1 (/ 1 (+ (* -1/12 (* re re)) 1/2))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/12 (* re re)) 1/2)) (fma.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 re re) #s(literal 1/3 binary64)) (*.f64 re re) #s(literal 2 binary64)))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #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 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/12 (* re re)) 1/2)) (/.f64 (/.f64 (-.f64 #s(literal -12 binary64) (/.f64 #s(literal 72 binary64) (*.f64 re 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 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64))))) |
6 calls:
| 8.0ms | im |
| 7.0ms | (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| 5.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 5.0ms | (sin.f64 re) |
| 5.0ms | re |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.7% | 1 | (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| 72.5% | 2 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 72.5% | 2 | (sin.f64 re) |
| 61.7% | 1 | re |
| 64.1% | 2 | im |
| 72.7% | 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 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (/ 1 (/ 1 (+ (* -1/12 (* re re)) 1/2))) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) 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)) #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 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.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 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/12 (* re re)) 1/2)) (fma.f64 #s(literal 1/3 binary64) (*.f64 re re) #s(literal 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(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(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 (*.f64 re re) #s(literal 1/240 binary64) #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 re (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 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(approx (/ 1 (/ 1 (+ (* -1/12 (* re re)) 1/2))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/12 (* re re)) 1/2)) (fma.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 re re) #s(literal 1/3 binary64)) (*.f64 re re) #s(literal 2 binary64)))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #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)))) |
6 calls:
| 11.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 5.0ms | re |
| 5.0ms | im |
| 5.0ms | (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 |
|---|---|---|
| 51.9% | 1 | re |
| 51.9% | 1 | (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| 58.0% | 4 | im |
| 62.7% | 2 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 62.7% | 2 | (sin.f64 re) |
| 62.7% | 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 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (/ 1 (/ 1 (+ (* -1/12 (* re re)) 1/2))) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) 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)) #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 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.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 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/12 (* re re)) 1/2)) (fma.f64 #s(literal 1/3 binary64) (*.f64 re re) #s(literal 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(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 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
3 calls:
| 7.0ms | (sin.f64 re) |
| 3.0ms | (*.f64 #s(literal 1/2 binary64) (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 |
|---|---|---|
| 61.5% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 62.7% | 2 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 62.7% | 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 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (/ 1 (/ 1 (+ (* -1/12 (* re re)) 1/2))) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) 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)) #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)))) |
| 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)))) |
2 calls:
| 3.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 3.0ms | (sin.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.5% | 2 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 61.5% | 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 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (/ 1 (/ 1 (+ (* -1/12 (* re re)) 1/2))) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) 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)) #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)) #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:
| 37.0ms | (sin.f64 re) |
| 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))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.6% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 59.5% | 2 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 59.5% | 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 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (/ 1 (/ 1 (+ (* -1/12 (* re re)) 1/2))) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 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 |
|---|---|---|
| 59.5% | 2 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 59.5% | 2 | (sin.f64 re) |
| 59.5% | 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)))) |
| 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:
| 37.0ms | im |
| 2.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 1.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 1.0ms | (sin.f64 re) |
| 1.0ms | re |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.5% | 1 | re |
| 50.5% | 1 | (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| 50.5% | 1 | im |
| 50.5% | 1 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 50.5% | 1 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 50.5% | 1 | (sin.f64 re) |
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 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 1.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 1.0ms | (sin.f64 re) |
| 1.0ms | im |
| 1.0ms | re |
| Accuracy | Segments | Branch |
|---|---|---|
| 26.3% | 1 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 26.3% | 1 | re |
| 26.3% | 1 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 26.3% | 1 | (sin.f64 re) |
| 26.3% | 1 | (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| 26.3% | 1 | im |
Compiled 27 to 30 computations (-11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -inf | -0.9972549339909625 |
Compiled 15 to 16 computations (-6.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 4.0554879835375e+40 | 3.0122811816026786e+42 |
| 21.0ms | 2839.1007596239992 | 1074559.3736474237 |
| 24.0ms | 240× | 0 | valid |
Compiled 1 012 to 769 computations (24% saved)
ival-sin: 6.0ms (33.4% of total)ival-sub: 4.0ms (22.3% of total)ival-exp: 4.0ms (22.3% of total)ival-mult: 3.0ms (16.7% of total)ival-add: 1.0ms (5.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1726365.218097623 | +inf |
| 0.0ms | -inf | -0.9972549339909625 |
Compiled 15 to 16 computations (-6.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1726365.218097623 | +inf |
| 0.0ms | -inf | -0.9972549339909625 |
Compiled 15 to 16 computations (-6.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1726365.218097623 | +inf |
| 0.0ms | -inf | -0.9972549339909625 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00024160469063230221 | 0.05755109251000438 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.666507898475884e-258 | 1.5649178200466884e-257 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0010737407924777192 | 0.007613872643671068 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00024160469063230221 | 0.0010737407924777192 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00024160469063230221 | 0.05755109251000438 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.018203202812093516 | 1.5305255779014645e-303 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 883 |
| 1 | 200 | 878 |
| 2 | 277 | 878 |
| 3 | 391 | 878 |
| 4 | 450 | 878 |
| 5 | 567 | 878 |
| 6 | 1247 | 878 |
| 7 | 2217 | 878 |
| 8 | 2784 | 878 |
| 9 | 4064 | 878 |
| 10 | 5363 | 878 |
| 11 | 6295 | 878 |
| 12 | 6717 | 878 |
| 13 | 7430 | 878 |
| 14 | 7632 | 878 |
| 15 | 7765 | 878 |
| 16 | 7779 | 878 |
| 1× | node limit |
| Inputs |
|---|
(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) (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 (*.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 (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))) |
(if (<=.f64 im #s(literal 2900 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)) (if (<=.f64 im #s(literal 3000000000000000289399642944900284719038464 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (/ 1 (/ 1 (+ (* -1/12 (* re re)) 1/2))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) (*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)) (*.f64 im im) #s(literal 1 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 (*.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)))) (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 2000000 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 (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im 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 -inf.0 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)))) (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 2000000 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 (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im 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 -inf.0 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)))) (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 2000000 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 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im 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 7378697629483821/18446744073709551616 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 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64)))))) |
(if (<=.f64 (sin.f64 re) #s(literal 1352433999707303/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032 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 1152921504606847/576460752303423488 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 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))) |
(if (<=.f64 (sin.f64 re) #s(literal 7378697629483821/18446744073709551616 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 7378697629483821/18446744073709551616 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)) #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 (sin.f64 re) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 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 |
|---|
(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) (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 (*.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 (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))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (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 (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))) |
(if (<=.f64 im #s(literal 2900 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)) (if (<=.f64 im #s(literal 3000000000000000289399642944900284719038464 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (/ 1 (/ 1 (+ (* -1/12 (* re re)) 1/2))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) (*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)) (*.f64 im im) #s(literal 1 binary64)))))) |
(if (<=.f64 im #s(literal 2900 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)) (if (<=.f64 im #s(literal 3000000000000000289399642944900284719038464 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) (*.f64 (sin.f64 re) #s(approx (* 1 (cosh im)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)) (*.f64 im im) #s(literal 1 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 (*.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)))) (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 2000000 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 (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64))))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.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)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2000000 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 (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im 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 -inf.0 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)))) (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 2000000 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 (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64))))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.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)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2000000 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 (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im 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 -inf.0 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)))) (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 2000000 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 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64))))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.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)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2000000 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 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im 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 7378697629483821/18446744073709551616 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 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 7378697629483821/18446744073709551616 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 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64)))))) |
(if (<=.f64 (sin.f64 re) #s(literal 1352433999707303/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032 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 1152921504606847/576460752303423488 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 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))) |
(if (<=.f64 (sin.f64 re) #s(literal 7378697629483821/18446744073709551616 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 7378697629483821/18446744073709551616 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)) #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 (neg.f64 im)) (exp.f64 im))) #s(literal 7378697629483821/18446744073709551616 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)) #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 (sin.f64 re) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 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 | 38 | 192 |
| 0 | 56 | 188 |
| 1 | 173 | 173 |
| 2 | 1079 | 173 |
| 0 | 8615 | 173 |
| 0 | 260 | 887 |
| 1 | 868 | 788 |
| 2 | 2433 | 761 |
| 3 | 4540 | 730 |
| 4 | 4991 | 730 |
| 5 | 5252 | 730 |
| 6 | 5652 | 730 |
| 7 | 6824 | 730 |
| 0 | 8140 | 658 |
| 0 | 242 | 861 |
| 1 | 789 | 774 |
| 2 | 2276 | 756 |
| 3 | 4539 | 733 |
| 4 | 5809 | 729 |
| 0 | 8275 | 668 |
| 0 | 11 | 34 |
| 0 | 18 | 30 |
| 1 | 59 | 26 |
| 2 | 397 | 24 |
| 0 | 4424 | 24 |
| 0 | 54 | 398 |
| 0 | 84 | 375 |
| 1 | 306 | 361 |
| 2 | 2014 | 361 |
| 0 | 8219 | 356 |
| 0 | 130 | 412 |
| 1 | 419 | 380 |
| 2 | 1287 | 364 |
| 3 | 4284 | 347 |
| 4 | 5244 | 347 |
| 5 | 5810 | 347 |
| 6 | 6448 | 347 |
| 7 | 7723 | 347 |
| 0 | 8007 | 307 |
| 0 | 27 | 102 |
| 0 | 44 | 84 |
| 1 | 131 | 76 |
| 2 | 740 | 76 |
| 0 | 8033 | 76 |
| 0 | 251 | 1012 |
| 1 | 809 | 951 |
| 2 | 2252 | 930 |
| 3 | 5395 | 910 |
| 4 | 7541 | 910 |
| 0 | 8045 | 847 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 988 to 1 012 computations (49.1% saved)
(negabs re)
(abs im)
Compiled 1 912 to 362 computations (81.1% saved)
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