
Time bar (total: 7.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 13 to 12 computations (7.7% saved)
| 1.1s | 8 256× | 0 | valid |
ival-cos: 257.0ms (35.1% of total)ival-exp: 187.0ms (25.5% of total)ival-mult: 174.0ms (23.8% of total)ival-neg: 60.0ms (8.2% of total)ival-add: 39.0ms (5.3% of total)ival-true: 7.0ms (1% of total)exact: 5.0ms (0.7% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (exp.f64 im) |
| 0 | 0 | - | 0 | - | (neg.f64 im) |
| 0 | 0 | - | 0 | - | (exp.f64 (neg.f64 im)) |
| 0 | 0 | - | 0 | - | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 0 | 0 | - | 0 | - | (cos.f64 re) |
| 0 | 0 | - | 0 | - | im |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 0 | 0 | - | 0 | - | re |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 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 |
| 88.0ms | 512× | 0 | valid |
Compiled 114 to 44 computations (61.4% saved)
ival-add: 33.0ms (45.9% of total)ival-cos: 22.0ms (30.6% of total)ival-exp: 7.0ms (9.7% of total)ival-mult: 6.0ms (8.3% of total)ival-neg: 2.0ms (2.8% of total)ival-true: 1.0ms (1.4% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 57 |
| 1 | 91 | 55 |
| 2 | 258 | 55 |
| 3 | 587 | 55 |
| 4 | 910 | 55 |
| 5 | 1191 | 55 |
| 6 | 1418 | 55 |
| 7 | 1591 | 55 |
| 8 | 1641 | 55 |
| 9 | 1646 | 55 |
| 10 | 1646 | 55 |
| 11 | 1646 | 55 |
| 0 | 10 | 11 |
| 0 | 17 | 11 |
| 1 | 34 | 11 |
| 2 | 73 | 11 |
| 3 | 107 | 11 |
| 4 | 129 | 11 |
| 5 | 156 | 11 |
| 6 | 178 | 11 |
| 7 | 181 | 11 |
| 8 | 183 | 11 |
| 9 | 188 | 11 |
| 10 | 188 | 11 |
| 0 | 188 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re)) |
(abs im)
(abs re)
Compiled 11 to 10 computations (9.1% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 11 to 10 computations (9.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (exp.f64 (neg.f64 im)) | |
| cost-diff | 0 | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) | |
| cost-diff | 0 | (cos.f64 re) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 33 |
| 0 | 17 | 33 |
| 1 | 34 | 33 |
| 2 | 73 | 33 |
| 3 | 107 | 33 |
| 4 | 129 | 33 |
| 5 | 156 | 33 |
| 6 | 178 | 33 |
| 7 | 181 | 33 |
| 8 | 183 | 33 |
| 9 | 188 | 33 |
| 10 | 188 | 33 |
| 0 | 188 | 33 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
#s(literal 1/2 binary64) |
(cos.f64 re) |
re |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(exp.f64 (neg.f64 im)) |
(neg.f64 im) |
im |
(exp.f64 im) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re)) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
(*.f64 (cos.f64 re) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(cos.f64 re) |
re |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) |
(exp.f64 (neg.f64 im)) |
(neg.f64 im) |
im |
(exp.f64 im) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (exp.f64 im) | |
| accuracy | 0 | (cos.f64 re) | |
| accuracy | 0.00390625 | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) | |
| accuracy | 0.00390625 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 24.0ms | 256× | 0 | valid |
Compiled 68 to 22 computations (67.6% saved)
ival-cos: 6.0ms (39.5% of total)ival-exp: 3.0ms (19.7% of total)ival-mult: 3.0ms (19.7% of total)ival-add: 1.0ms (6.6% of total)ival-neg: 1.0ms (6.6% 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 1/2 binary64) (cos.f64 re)) |
(cos.f64 re) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(exp.f64 (neg.f64 im)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(exp.f64 im) |
| Outputs |
|---|
1/2 |
(+ 1/2 (* -1/4 (pow re 2))) |
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) |
1 |
(+ 1 (* -1/2 (pow re 2))) |
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) |
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) |
(* 1/2 (+ (exp im) (exp (neg im)))) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im)))))))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im))))))))) |
(* 1/2 (cos re)) |
(cos re) |
(* 1/2 (* (cos re) (+ (exp im) (exp (neg 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 (* -1 im)) |
(+ 1 (* im (- (* 1/2 im) 1))) |
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) |
(+ (cos re) (* 1/2 (* (pow im 2) (cos re)))) |
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re))))) |
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re))))))) |
(+ 1 im) |
(+ 1 (* im (+ 1 (* 1/2 im)))) |
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) |
(+ (exp im) (exp (neg im))) |
(exp (neg im)) |
(exp im) |
(+ (exp im) (exp (* -1 im))) |
(exp (* -1 im)) |
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | im | @ | 0 | ((* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (exp (neg im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (exp im)) |
| 1.0ms | im | @ | inf | ((* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (exp (neg im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (exp im)) |
| 1.0ms | re | @ | inf | ((* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (exp (neg im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (exp im)) |
| 1.0ms | im | @ | -inf | ((* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (exp (neg im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (exp im)) |
| 1.0ms | re | @ | 0 | ((* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (exp (neg im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (exp im)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 119 | 387 |
| 1 | 346 | 355 |
| 2 | 1078 | 345 |
| 3 | 3262 | 328 |
| 4 | 7338 | 328 |
| 5 | 7943 | 328 |
| 0 | 8010 | 288 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* -1/4 (pow re 2))) |
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) |
1 |
(+ 1 (* -1/2 (pow re 2))) |
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) |
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) |
(* 1/2 (+ (exp im) (exp (neg im)))) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im)))))))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im))))))))) |
(* 1/2 (cos re)) |
(cos re) |
(* 1/2 (* (cos re) (+ (exp im) (exp (neg 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 (* -1 im)) |
(+ 1 (* im (- (* 1/2 im) 1))) |
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) |
(+ (cos re) (* 1/2 (* (pow im 2) (cos re)))) |
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re))))) |
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re))))))) |
(+ 1 im) |
(+ 1 (* im (+ 1 (* 1/2 im)))) |
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) |
(+ (exp im) (exp (neg im))) |
(exp (neg im)) |
(exp im) |
(+ (exp im) (exp (* -1 im))) |
(exp (* -1 im)) |
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 (pow re 2))) |
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow re 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(* 1/2 (+ (exp im) (exp (neg im)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im)))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im))))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(* 1/2 (cos re)) |
(*.f64 (cos.f64 re) #s(literal 1/2 binary64)) |
(cos re) |
(cos.f64 re) |
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
2 |
#s(literal 2 binary64) |
(+ 2 (pow im 2)) |
(fma.f64 im im #s(literal 2 binary64)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
(fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))) |
(+ 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)) |
(+ (cos re) (* 1/2 (* (pow im 2) (cos re)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (cos.f64 re)) |
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re))))) |
(*.f64 (cos.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)))) |
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re))))))) |
(*.f64 (cos.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)))) |
(+ 1 im) |
(+.f64 #s(literal 1 binary64) im) |
(+ 1 (* im (+ 1 (* 1/2 im)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64)) |
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64)) |
(+ (exp im) (exp (neg im))) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(exp (neg im)) |
(exp.f64 (neg.f64 im)) |
(exp 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)) |
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 28 |
| 0 | 17 | 28 |
| 1 | 47 | 24 |
| 2 | 285 | 22 |
| 3 | 2485 | 22 |
| 0 | 9034 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
(cos.f64 re) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(exp.f64 (neg.f64 im)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(exp.f64 im) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (cos.f64 re) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
(cos.f64 re) |
(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -4 binary64)) (pow.f64 (exp.f64 im) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -6 binary64)) (pow.f64 (exp.f64 im) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -6 binary64)) (pow.f64 (exp.f64 im) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) #s(literal -1 binary64))) |
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(/.f64 (fma.f64 (pow.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (exp.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64))) (cos.f64 re))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (-.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (-.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))))) (fma.f64 (pow.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (-.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))))) (fma.f64 (pow.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))) |
(fma.f64 (*.f64 (exp.f64 im) (cos.f64 re)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))) |
(fma.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 1/2 binary64) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))) |
(fma.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))) |
(fma.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))) |
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))) |
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))) |
(fma.f64 (cos.f64 re) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))) |
(fma.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 im) (cos.f64 re)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (exp.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (/.f64 (pow.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) |
(+.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))) |
(*.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) |
(*.f64 #s(literal 1 binary64) (exp.f64 im)) |
(*.f64 (exp.f64 im) #s(literal 1 binary64)) |
(*.f64 (exp.f64 (neg.f64 im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (exp.f64 (neg.f64 im)) (pow.f64 (exp.f64 im) #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 im)) |
(pow.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 im) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (neg.f64 im)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (exp.f64 im))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (exp.f64 im)) #s(literal -1 binary64)) |
(/.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 im) #s(literal 1 binary64)) |
(exp.f64 (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 2 binary64) im))) |
(exp.f64 (fma.f64 #s(literal -2 binary64) im (*.f64 #s(literal 3 binary64) im))) |
(exp.f64 (*.f64 im #s(literal 1 binary64))) |
(exp.f64 im) |
Compiled 7 347 to 1 051 computations (85.7% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 303 | 4 | 307 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 304 | 4 | 308 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.1% | (/.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) |
| ▶ | 100.0% | (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) |
| ▶ | 75.8% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| ▶ | 54.3% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
Compiled 52 to 45 computations (13.5% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 re) | |
| cost-diff | 0 | (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) | |
| cost-diff | 640 | (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) im)))) | |
| cost-diff | 7744 | (/.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) | |
| cost-diff | 0 | (cos.f64 re) | |
| cost-diff | 0 | (cosh.f64 im) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) | |
| cost-diff | 320 | (*.f64 #s(literal 1 binary64) (cosh.f64 im)) | |
| cost-diff | 0 | #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) | |
| cost-diff | 0 | (cos.f64 re) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (cos.f64 re) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 145 |
| 0 | 44 | 130 |
| 1 | 92 | 128 |
| 2 | 238 | 126 |
| 3 | 743 | 126 |
| 4 | 2318 | 126 |
| 5 | 6773 | 118 |
| 0 | 8592 | 118 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
#s(literal 1/2 binary64) |
(cos.f64 re) |
re |
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
#s(literal 1/2 binary64) |
(cos.f64 re) |
re |
#s(approx (+ (exp (neg 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)) (cos.f64 re)) |
(*.f64 #s(literal 1 binary64) (cosh.f64 im)) |
#s(literal 1 binary64) |
(cosh.f64 im) |
im |
(cos.f64 re) |
re |
(/.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) im)))) |
(*.f64 (cos.f64 re) #s(literal 1/2 binary64)) |
(cos.f64 re) |
re |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) im))) |
#s(literal 2 binary64) |
(sinh.f64 (*.f64 #s(literal 2 binary64) im)) |
(*.f64 #s(literal 2 binary64) im) |
im |
(*.f64 #s(literal 2 binary64) (sinh.f64 im)) |
(sinh.f64 im) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re)) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
(*.f64 (cos.f64 re) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(cos.f64 re) |
re |
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
(*.f64 (cos.f64 re) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(cos.f64 re) |
re |
#s(approx (+ (exp (neg 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)) (cos.f64 re)) |
(*.f64 (cosh.f64 im) (cos.f64 re)) |
(*.f64 #s(literal 1 binary64) (cosh.f64 im)) |
(cosh.f64 im) |
#s(literal 1 binary64) |
(cosh.f64 im) |
im |
(cos.f64 re) |
re |
(/.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) |
(*.f64 (cosh.f64 im) (cos.f64 re)) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) im)))) |
(*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im)) (cos.f64 re)) |
(*.f64 (cos.f64 re) #s(literal 1/2 binary64)) |
(cos.f64 re) |
re |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) im))) |
(*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sinh.f64 (*.f64 #s(literal 2 binary64) im)) |
(*.f64 #s(literal 2 binary64) im) |
im |
(*.f64 #s(literal 2 binary64) (sinh.f64 im)) |
(*.f64 (sinh.f64 im) #s(literal 2 binary64)) |
(sinh.f64 im) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 re) | |
| accuracy | 0.00390625 | (sinh.f64 (*.f64 #s(literal 2 binary64) im)) | |
| accuracy | 0.1015625 | (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) im)))) | |
| accuracy | 0.5 | (/.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) | |
| accuracy | 0 | (*.f64 #s(literal 1 binary64) (cosh.f64 im)) | |
| accuracy | 0 | (cosh.f64 im) | |
| accuracy | 0 | (cos.f64 re) | |
| accuracy | 0.00390625 | (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) | |
| accuracy | 0 | (cos.f64 re) | |
| accuracy | 0.00390625 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| accuracy | 0.5902657873705636 | #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) | |
| accuracy | 0 | (cos.f64 re) | |
| accuracy | 0.00390625 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) | |
| accuracy | 0.6741296909982795 | #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) |
| 95.0ms | 118× | 5 | exit |
| 28.0ms | 138× | 0 | valid |
Compiled 279 to 54 computations (80.6% saved)
ival-neg: 24.0ms (26.6% of total)adjust: 20.0ms (22.1% of total)ival-mult: 19.0ms (21% of total)ival-exp: 9.0ms (10% of total)ival-cos: 6.0ms (6.6% of total)ival-add: 5.0ms (5.5% of total)ival-cosh: 3.0ms (3.3% of total)ival-div: 2.0ms (2.2% of total)ival-sinh: 2.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
(cos.f64 re) |
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (+ (exp (neg 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)) (cos.f64 re)) |
(cosh.f64 im) |
(/.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) im)))) |
(*.f64 (cos.f64 re) #s(literal 1/2 binary64)) |
(sinh.f64 (*.f64 #s(literal 2 binary64) im)) |
| Outputs |
|---|
(* 1/2 (+ (exp im) (exp (neg im)))) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im)))))))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im))))))))) |
1/2 |
(+ 1/2 (* -1/4 (pow re 2))) |
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) |
1 |
(+ 1 (* -1/2 (pow re 2))) |
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) |
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))) |
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))) |
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im))))))))) |
(* 1/2 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))) |
(+ (* -1/4 (/ (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im))))) (* 1/2 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im)))))) |
(+ (* 1/2 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/4 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))) (* 1/48 (/ (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im)))))))) |
(+ (* 1/2 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/4 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/1440 (/ (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im))))) (* 1/48 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im)))))))))) |
(* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) |
(+ (* -1/4 (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))) (* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))) |
(+ (* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (* (pow re 2) (+ (* -1/4 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (* 1/48 (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))))))) |
(+ (* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (* (pow re 2) (+ (* -1/4 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))) (* 1/48 (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))))))) |
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (cos re)) |
(cos re) |
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (/ (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))) |
(+ (cos re) (* 1/2 (* (pow im 2) (cos re)))) |
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re))))) |
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos 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 (* 1/2 (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))))))) |
(+ (cos re) (* 1/2 (* (pow im 2) (- (* 4/3 (cos re)) (* 1/3 (cos re)))))) |
(+ (cos re) (* (pow im 2) (+ (* 1/2 (* (pow im 2) (- (* 4/15 (cos re)) (+ (* 1/60 (cos re)) (* 1/6 (- (* 4/3 (cos re)) (* 1/3 (cos re)))))))) (* 1/2 (- (* 4/3 (cos re)) (* 1/3 (cos re))))))) |
(+ (cos re) (* (pow im 2) (+ (* 1/2 (- (* 4/3 (cos re)) (* 1/3 (cos re)))) (* (pow im 2) (+ (* 1/2 (* (pow im 2) (- (* 8/315 (cos re)) (+ (* 1/2520 (cos re)) (+ (* 1/120 (- (* 4/3 (cos re)) (* 1/3 (cos re)))) (* 1/6 (- (* 4/15 (cos re)) (+ (* 1/60 (cos re)) (* 1/6 (- (* 4/3 (cos re)) (* 1/3 (cos re)))))))))))) (* 1/2 (- (* 4/15 (cos re)) (+ (* 1/60 (cos re)) (* 1/6 (- (* 4/3 (cos re)) (* 1/3 (cos re)))))))))))) |
(* 2 (* im (cos re))) |
(* im (+ (* 4/3 (* (pow im 2) (cos re))) (* 2 (cos re)))) |
(* im (+ (* 2 (cos re)) (* (pow im 2) (+ (* 4/15 (* (pow im 2) (cos re))) (* 4/3 (cos re)))))) |
(* im (+ (* 2 (cos re)) (* (pow im 2) (+ (* 4/3 (cos re)) (* (pow im 2) (+ (* 8/315 (* (pow im 2) (cos re))) (* 4/15 (cos re)))))))) |
(* 2 im) |
(* im (+ 2 (* 4/3 (pow im 2)))) |
(* im (+ 2 (* (pow im 2) (+ 4/3 (* 4/15 (pow im 2)))))) |
(* im (+ 2 (* (pow im 2) (+ 4/3 (* (pow im 2) (+ 4/15 (* 8/315 (pow im 2)))))))) |
(+ (exp im) (exp (neg im))) |
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) |
(+ (exp im) (exp (* -1 im))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | im | @ | inf | ((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (/ (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (* 2 (sinh im))) (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (* (cos re) 1/2) (sinh (* 2 im))) |
| 7.0ms | im | @ | -inf | ((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (/ (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (* 2 (sinh im))) (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (* (cos re) 1/2) (sinh (* 2 im))) |
| 4.0ms | re | @ | inf | ((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (/ (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (* 2 (sinh im))) (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (* (cos re) 1/2) (sinh (* 2 im))) |
| 4.0ms | re | @ | 0 | ((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (/ (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (* 2 (sinh im))) (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (* (cos re) 1/2) (sinh (* 2 im))) |
| 3.0ms | re | @ | -inf | ((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (/ (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (* 2 (sinh im))) (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (* (cos re) 1/2) (sinh (* 2 im))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 243 | 1142 |
| 1 | 765 | 987 |
| 2 | 2412 | 876 |
| 3 | 6173 | 847 |
| 0 | 8217 | 774 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (+ (exp im) (exp (neg im)))) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im)))))))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im))))))))) |
1/2 |
(+ 1/2 (* -1/4 (pow re 2))) |
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) |
1 |
(+ 1 (* -1/2 (pow re 2))) |
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) |
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))) |
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))) |
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im))))))))) |
(* 1/2 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))) |
(+ (* -1/4 (/ (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im))))) (* 1/2 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im)))))) |
(+ (* 1/2 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/4 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))) (* 1/48 (/ (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im)))))))) |
(+ (* 1/2 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/4 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/1440 (/ (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im))))) (* 1/48 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im)))))))))) |
(* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) |
(+ (* -1/4 (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))) (* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))) |
(+ (* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (* (pow re 2) (+ (* -1/4 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (* 1/48 (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))))))) |
(+ (* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (* (pow re 2) (+ (* -1/4 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))) (* 1/48 (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))))))) |
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (cos re)) |
(cos re) |
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (/ (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))) |
(+ (cos re) (* 1/2 (* (pow im 2) (cos re)))) |
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re))))) |
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos 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 (* 1/2 (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))))))) |
(+ (cos re) (* 1/2 (* (pow im 2) (- (* 4/3 (cos re)) (* 1/3 (cos re)))))) |
(+ (cos re) (* (pow im 2) (+ (* 1/2 (* (pow im 2) (- (* 4/15 (cos re)) (+ (* 1/60 (cos re)) (* 1/6 (- (* 4/3 (cos re)) (* 1/3 (cos re)))))))) (* 1/2 (- (* 4/3 (cos re)) (* 1/3 (cos re))))))) |
(+ (cos re) (* (pow im 2) (+ (* 1/2 (- (* 4/3 (cos re)) (* 1/3 (cos re)))) (* (pow im 2) (+ (* 1/2 (* (pow im 2) (- (* 8/315 (cos re)) (+ (* 1/2520 (cos re)) (+ (* 1/120 (- (* 4/3 (cos re)) (* 1/3 (cos re)))) (* 1/6 (- (* 4/15 (cos re)) (+ (* 1/60 (cos re)) (* 1/6 (- (* 4/3 (cos re)) (* 1/3 (cos re)))))))))))) (* 1/2 (- (* 4/15 (cos re)) (+ (* 1/60 (cos re)) (* 1/6 (- (* 4/3 (cos re)) (* 1/3 (cos re)))))))))))) |
(* 2 (* im (cos re))) |
(* im (+ (* 4/3 (* (pow im 2) (cos re))) (* 2 (cos re)))) |
(* im (+ (* 2 (cos re)) (* (pow im 2) (+ (* 4/15 (* (pow im 2) (cos re))) (* 4/3 (cos re)))))) |
(* im (+ (* 2 (cos re)) (* (pow im 2) (+ (* 4/3 (cos re)) (* (pow im 2) (+ (* 8/315 (* (pow im 2) (cos re))) (* 4/15 (cos re)))))))) |
(* 2 im) |
(* im (+ 2 (* 4/3 (pow im 2)))) |
(* im (+ 2 (* (pow im 2) (+ 4/3 (* 4/15 (pow im 2)))))) |
(* im (+ 2 (* (pow im 2) (+ 4/3 (* (pow im 2) (+ 4/15 (* 8/315 (pow im 2)))))))) |
(+ (exp im) (exp (neg im))) |
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) |
(+ (exp im) (exp (* -1 im))) |
| Outputs |
|---|
(* 1/2 (+ (exp im) (exp (neg im)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im)))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im))))))))) |
(fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 (pow re 2))) |
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow re 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im))))))))) |
(fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) #s(literal 1/2 binary64)) |
(+ (* -1/4 (/ (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im))))) (* 1/2 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im)))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/4 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))) (* 1/48 (/ (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im)))))))) |
(fma.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/4 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/1440 (/ (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im))))) (* 1/48 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im)))))))))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))) (*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
(* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) |
(*.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)) |
(+ (* -1/4 (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))) (* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (* (pow re 2) (+ (* -1/4 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (* 1/48 (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))))))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (* (pow re 2) (+ (* -1/4 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))) (* 1/48 (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))))))) |
(fma.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (*.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))) |
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (cos re)) |
(*.f64 (cos.f64 re) #s(literal 1/2 binary64)) |
(cos re) |
(cos.f64 re) |
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (/ (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im))))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) |
(* 1/2 (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) |
(+ (cos re) (* 1/2 (* (pow im 2) (cos re)))) |
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re)) |
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re))))) |
(*.f64 (cos.f64 re) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re))))))) |
(fma.f64 (*.f64 (cos.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) (cos.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 (* 1/2 (pow im 2))) |
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #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)) |
(+ (cos re) (* 1/2 (* (pow im 2) (- (* 4/3 (cos re)) (* 1/3 (cos re)))))) |
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re)) |
(+ (cos re) (* (pow im 2) (+ (* 1/2 (* (pow im 2) (- (* 4/15 (cos re)) (+ (* 1/60 (cos re)) (* 1/6 (- (* 4/3 (cos re)) (* 1/3 (cos re)))))))) (* 1/2 (- (* 4/3 (cos re)) (* 1/3 (cos re))))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/12 binary64)) im) im (cos.f64 re)) #s(literal 1/2 binary64)) (*.f64 im im) (cos.f64 re)) |
(+ (cos re) (* (pow im 2) (+ (* 1/2 (- (* 4/3 (cos re)) (* 1/3 (cos re)))) (* (pow im 2) (+ (* 1/2 (* (pow im 2) (- (* 8/315 (cos re)) (+ (* 1/2520 (cos re)) (+ (* 1/120 (- (* 4/3 (cos re)) (* 1/3 (cos re)))) (* 1/6 (- (* 4/15 (cos re)) (+ (* 1/60 (cos re)) (* 1/6 (- (* 4/3 (cos re)) (* 1/3 (cos re)))))))))))) (* 1/2 (- (* 4/15 (cos re)) (+ (* 1/60 (cos re)) (* 1/6 (- (* 4/3 (cos re)) (* 1/3 (cos re)))))))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 im im) (fma.f64 (fma.f64 #s(literal 1/60 binary64) (cos.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 re) #s(literal 1/12 binary64)))) (*.f64 im im) (*.f64 (cos.f64 re) #s(literal 1/12 binary64))) (cos.f64 re))) (*.f64 im im) (cos.f64 re)) |
(* 2 (* im (cos re))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) im) |
(* im (+ (* 4/3 (* (pow im 2) (cos re))) (* 2 (cos re)))) |
(*.f64 (*.f64 (cos.f64 re) im) (fma.f64 #s(literal 4/3 binary64) (*.f64 im im) #s(literal 2 binary64))) |
(* im (+ (* 2 (cos re)) (* (pow im 2) (+ (* 4/15 (* (pow im 2) (cos re))) (* 4/3 (cos re)))))) |
(*.f64 (*.f64 (cos.f64 re) (fma.f64 (fma.f64 #s(literal 4/15 binary64) (*.f64 im im) #s(literal 4/3 binary64)) (*.f64 im im) #s(literal 2 binary64))) im) |
(* im (+ (* 2 (cos re)) (* (pow im 2) (+ (* 4/3 (cos re)) (* (pow im 2) (+ (* 8/315 (* (pow im 2) (cos re))) (* 4/15 (cos re)))))))) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (fma.f64 (fma.f64 #s(literal 8/315 binary64) (*.f64 im im) #s(literal 4/15 binary64)) (*.f64 im im) #s(literal 4/3 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) im)) |
(* 2 im) |
(*.f64 #s(literal 2 binary64) im) |
(* im (+ 2 (* 4/3 (pow im 2)))) |
(*.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 im im) #s(literal 2 binary64)) im) |
(* im (+ 2 (* (pow im 2) (+ 4/3 (* 4/15 (pow im 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 4/15 binary64) (*.f64 im im) #s(literal 4/3 binary64)) (*.f64 im im) #s(literal 2 binary64)) im) |
(* im (+ 2 (* (pow im 2) (+ 4/3 (* (pow im 2) (+ 4/15 (* 8/315 (pow im 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 8/315 binary64) (*.f64 im im) #s(literal 4/15 binary64)) (*.f64 im im) #s(literal 4/3 binary64)) (*.f64 im im) #s(literal 2 binary64)) im) |
(+ (exp im) (exp (neg im))) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) |
(*.f64 (*.f64 (cos.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)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 102 |
| 0 | 44 | 87 |
| 1 | 128 | 75 |
| 2 | 710 | 75 |
| 3 | 7146 | 75 |
| 0 | 8261 | 75 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
(cos.f64 re) |
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (+ (exp (neg 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)) (cos.f64 re)) |
(cosh.f64 im) |
(/.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) im)))) |
(*.f64 (cos.f64 re) #s(literal 1/2 binary64)) |
(sinh.f64 (*.f64 #s(literal 2 binary64) im)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re)) |
(*.f64 (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) (cos.f64 re)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) |
(*.f64 (cos.f64 re) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) (cos.f64 re))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (cos.f64 re))) |
(*.f64 (cos.f64 re) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (cos.f64 re)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (cos.f64 re)) #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (cos.f64 re))) |
(/.f64 (cos.f64 re) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (cos.f64 re))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 re)) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) |
(*.f64 (cos.f64 re) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 re))) |
(cos.f64 re) |
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64)) (cos.f64 re)) |
(*.f64 (*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (cos.f64 re)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) |
(*.f64 (cos.f64 re) (*.f64 #s(approx (+ (exp (neg 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 (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (cos.f64 re))) |
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(*.f64 (/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im)) (*.f64 #s(literal 4 binary64) (sinh.f64 im))) #s(literal 2 binary64)) |
(*.f64 (/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) im)))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (sinh.f64 im))) (*.f64 (sinh.f64 im) (cosh.f64 im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) (sinh.f64 im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) im)))) (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 im) (cosh.f64 im))) (/.f64 #s(literal 2 binary64) (sinh.f64 im))) |
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) (sinh.f64 im)) (/.f64 (cosh.f64 im) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 (sinh.f64 im) (cosh.f64 im)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (sinh.f64 im))) |
(*.f64 (/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im)) (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 4 binary64) (cosh.f64 im))) |
(*.f64 (pow.f64 (sinh.f64 im) #s(literal -1 binary64)) (*.f64 (sinh.f64 im) (cosh.f64 im))) |
(*.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 im)) (*.f64 (*.f64 (sinh.f64 im) (cosh.f64 im)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 im)) (/.f64 (*.f64 (sinh.f64 im) (cosh.f64 im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 im)) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 im)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 im)) (sinh.f64 (*.f64 #s(literal 2 binary64) im))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) (/.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) im))) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) im))) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) im))) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 im)) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 (sinh.f64 im) (cosh.f64 im)) (*.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sinh.f64 im) (cosh.f64 im)) (pow.f64 (sinh.f64 im) #s(literal -1 binary64))) |
(*.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) (/.f64 (cosh.f64 im) (*.f64 (sinh.f64 im) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) (*.f64 (cosh.f64 im) (/.f64 #s(literal 1/2 binary64) (sinh.f64 im)))) |
(*.f64 (sinh.f64 im) (/.f64 (cosh.f64 im) (sinh.f64 im))) |
(*.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 im)))) |
(*.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 im)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 im) #s(literal 2 binary64)))) |
(*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 im))) |
(*.f64 (cosh.f64 im) (/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (*.f64 #s(literal -2 binary64) (sinh.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 1/2 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sinh.f64 im) (cosh.f64 im)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 im)))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 im) (cosh.f64 im)) (*.f64 (sinh.f64 im) #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 im) #s(literal 2 binary64))) |
(*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (*.f64 (*.f64 #s(literal -2 binary64) (sinh.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 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) (pow.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
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(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 im)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) im)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 im)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (cosh.f64 im) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) im))) (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) im))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) im)))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) im))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1 binary64)) (pow.f64 (cosh.f64 im) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) im)))) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 4 binary64)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 4 binary64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 6 binary64)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) im))))) (*.f64 #s(literal -2 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (*.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) im)))) (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (*.f64 #s(literal 4 binary64) (cosh.f64 im))) #s(literal -4 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 im) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (sinh.f64 (*.f64 #s(literal 2 binary64) im))) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) im))))) (*.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) im)))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (cosh.f64 im))) #s(literal 4 binary64)) |
(/.f64 (*.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (sinh.f64 im))) |
(/.f64 (*.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) (sinh.f64 (*.f64 #s(literal 2 binary64) im))) (*.f64 (sinh.f64 im) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) im))))) (*.f64 (pow.f64 (sinh.f64 im) #s(literal -1 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) im)))) (*.f64 (pow.f64 (sinh.f64 im) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 (pow.f64 (sinh.f64 im) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) im)))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) #s(literal 4 binary64)) |
(/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 4 binary64)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 6 binary64)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 6 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal 4 binary64))))) |
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) (*.f64 (pow.f64 (sinh.f64 im) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal -2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 im)) (/.f64 #s(literal 2 binary64) (sinh.f64 im))) |
(/.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) (pow.f64 (cosh.f64 im) #s(literal -1 binary64))) |
(/.f64 (sinh.f64 im) (pow.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (pow.f64 (cosh.f64 im) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (*.f64 (pow.f64 (sinh.f64 im) #s(literal -1 binary64)) (*.f64 (sinh.f64 im) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im)) (*.f64 (pow.f64 (sinh.f64 im) #s(literal -1 binary64)) (sinh.f64 im))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sinh.f64 im) #s(literal -1 binary64)) (pow.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (pow.f64 (sinh.f64 im) #s(literal -1 binary64))) |
(sinh.f64 (*.f64 #s(literal 2 binary64) im)) |
(neg.f64 (neg.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 im) (cosh.f64 im))) #s(literal 2 binary64) (*.f64 (sinh.f64 im) (cosh.f64 im))) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (*.f64 (sinh.f64 im) (cosh.f64 im))) |
(fma.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (sinh.f64 im) (cosh.f64 im)) #s(literal 1 binary64) (*.f64 (sinh.f64 im) (cosh.f64 im))) |
(fma.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) (/.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (sinh.f64 im) (cosh.f64 im))) |
(fma.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cosh.f64 im)) (*.f64 (sinh.f64 im) (cosh.f64 im))) |
(fma.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (sinh.f64 im) (cosh.f64 im))) |
(fma.f64 (sinh.f64 im) (cosh.f64 im) (*.f64 (sinh.f64 im) (cosh.f64 im))) |
(fma.f64 (sinh.f64 im) (exp.f64 im) (*.f64 (sinh.f64 im) (exp.f64 (neg.f64 im)))) |
(fma.f64 (sinh.f64 im) (exp.f64 (neg.f64 im)) (*.f64 (sinh.f64 im) (exp.f64 im))) |
(fma.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (sinh.f64 im) (cosh.f64 im))) |
(fma.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1/2 binary64) (*.f64 (sinh.f64 im) (cosh.f64 im))) |
(fma.f64 (cosh.f64 im) (sinh.f64 im) (*.f64 (sinh.f64 im) (cosh.f64 im))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 im) (cosh.f64 im)) (*.f64 (sinh.f64 im) (cosh.f64 im))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 im) (cosh.f64 im)) #s(literal 2 binary64)) (*.f64 (sinh.f64 im) (cosh.f64 im))) |
(fma.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 im)) (*.f64 (sinh.f64 im) (cosh.f64 im))) |
(fma.f64 (exp.f64 im) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 (exp.f64 im) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1/2 binary64)))) |
(fma.f64 (exp.f64 im) (sinh.f64 im) (*.f64 (exp.f64 (neg.f64 im)) (sinh.f64 im))) |
(fma.f64 (exp.f64 (neg.f64 im)) (sinh.f64 im) (*.f64 (exp.f64 im) (sinh.f64 im))) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(fma.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) im)) (*.f64 (sinh.f64 im) (cosh.f64 im))) |
(-.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (exp.f64 im) (sinh.f64 im)) (*.f64 (exp.f64 (neg.f64 im)) (sinh.f64 im))) |
(+.f64 (*.f64 (exp.f64 (neg.f64 im)) (sinh.f64 im)) (*.f64 (exp.f64 im) (sinh.f64 im))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(+.f64 (*.f64 (sinh.f64 im) (exp.f64 im)) (*.f64 (sinh.f64 im) (exp.f64 (neg.f64 im)))) |
(+.f64 (*.f64 (sinh.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (sinh.f64 im) (exp.f64 im))) |
(+.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (sinh.f64 im) (cosh.f64 im)) (*.f64 (sinh.f64 im) (cosh.f64 im))) |
Compiled 11 671 to 1 806 computations (84.5% saved)
15 alts after pruning (13 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 606 | 13 | 619 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 0 | 0 |
| Total | 608 | 15 | 623 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 60.4% | (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
| 65.2% | (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) | |
| ✓ | 75.8% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| ✓ | 54.3% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
| 91.1% | (*.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))) (cos.f64 re)) | |
| 88.1% | (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) | |
| 49.1% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| ▶ | 38.6% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
| 50.7% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| 39.1% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) | |
| ▶ | 48.3% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| 34.1% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) | |
| 46.0% | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| ▶ | 30.8% | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
| ▶ | 91.1% | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (*.f64 (cos.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) (cos.f64 re))) |
Compiled 609 to 455 computations (25.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))) | |
| cost-diff | 0 | (cosh.f64 im) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) | |
| cost-diff | 320 | (*.f64 #s(literal 1 binary64) (cosh.f64 im)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 re re) | |
| cost-diff | 0 | (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (cos.f64 re) | |
| cost-diff | 0 | (*.f64 (cos.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))) | |
| cost-diff | 0 | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (*.f64 (cos.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) (cos.f64 re))) | |
| cost-diff | 6400 | (fma.f64 (*.f64 (cos.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) (cos.f64 re)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 330 |
| 0 | 72 | 326 |
| 1 | 141 | 326 |
| 2 | 273 | 320 |
| 3 | 609 | 320 |
| 4 | 1497 | 320 |
| 5 | 2793 | 320 |
| 6 | 4892 | 320 |
| 7 | 5094 | 320 |
| 8 | 5365 | 320 |
| 9 | 5452 | 320 |
| 10 | 6228 | 320 |
| 11 | 6423 | 320 |
| 12 | 6958 | 320 |
| 13 | 7431 | 320 |
| 0 | 8020 | 318 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (*.f64 (cos.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) (cos.f64 re))) |
(fma.f64 (*.f64 (cos.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) (cos.f64 re)) |
(*.f64 (cos.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))) |
(cos.f64 re) |
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)) |
(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) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(*.f64 re re) |
re |
#s(literal -1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (neg 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 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) |
(fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) |
#s(literal -1/1440 binary64) |
(*.f64 re re) |
re |
#s(literal 1/48 binary64) |
#s(literal -1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (cosh.f64 im)) |
#s(literal 1 binary64) |
(cosh.f64 im) |
im |
#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 re re) |
re |
| Outputs |
|---|
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (*.f64 (cos.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) (cos.f64 re))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (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)) (cos.f64 re))) |
(fma.f64 (*.f64 (cos.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) (cos.f64 re)) |
(*.f64 (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)) (cos.f64 re)) |
(*.f64 (cos.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 (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)) (cos.f64 re)) |
(cos.f64 re) |
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)) |
(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) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx (* 1/2 (cos re)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (cos re)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64)) |
(*.f64 re re) |
re |
#s(literal -1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (neg 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 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) |
(fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) |
#s(literal -1/1440 binary64) |
(*.f64 re re) |
re |
#s(literal 1/48 binary64) |
#s(literal -1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))) (cosh.f64 im)) |
(*.f64 #s(literal 1 binary64) (cosh.f64 im)) |
(cosh.f64 im) |
#s(literal 1 binary64) |
(cosh.f64 im) |
im |
#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 re re) |
re |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 #s(literal 1 binary64) (cosh.f64 im)) | |
| accuracy | 0 | (cosh.f64 im) | |
| accuracy | 0.00390625 | (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) | |
| accuracy | 32.293283980862086 | #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))) | |
| accuracy | 0.04296875 | (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) | |
| accuracy | 0.3112203643984045 | (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) | |
| accuracy | 29.25160496720907 | #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) | |
| accuracy | 32.20313247169715 | #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) | |
| accuracy | 0 | (*.f64 re re) | |
| accuracy | 0.00390625 | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| accuracy | 15.48594943292214 | #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) | |
| accuracy | 32.29322228080452 | #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) | |
| accuracy | 0.00390625 | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) | |
| accuracy | 29.25160496720907 | #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) | |
| accuracy | 29.42570921534693 | #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) | |
| accuracy | 0.03515625 | (fma.f64 (*.f64 (cos.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) (cos.f64 re)) | |
| accuracy | 0.05859375 | (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 | 0.07421875 | (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) | |
| accuracy | 5.66840082784257 | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (*.f64 (cos.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) (cos.f64 re))) |
| 98.0ms | 256× | 0 | valid |
Compiled 574 to 88 computations (84.7% saved)
ival-mult: 22.0ms (35.7% of total)const: 13.0ms (21.1% of total)ival-add: 11.0ms (17.8% of total)ival-cos: 6.0ms (9.7% of total)ival-exp: 3.0ms (4.9% of total)ival-cosh: 3.0ms (4.9% 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 |
|---|
(fma.f64 (*.f64 (cos.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) (cos.f64 re)) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (*.f64 (cos.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) (cos.f64 re))) |
(*.f64 (cos.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))) |
(cos.f64 re) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) |
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(*.f64 re re) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) |
(*.f64 #s(literal 1 binary64) (cosh.f64 im)) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
(cosh.f64 im) |
#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 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 (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) |
| Outputs |
|---|
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) (* (pow re 2) (- (* -1/2 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) 1/2)))) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) (* (pow re 2) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))) 1/2)))) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) (* (pow re 2) (+ 1/24 (+ (* 1/24 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) (* (pow re 2) (- (* -1/720 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) 1/720)))))) 1/2)))) |
(* 1/2 (+ (exp im) (exp (neg im)))) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im)))))))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im))))))))) |
(+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))) |
(+ 1/2 (+ (* -1/2 (* (pow re 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) |
(+ 1/2 (+ (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))) (* (pow re 2) (+ (* -1/2 (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) (* 1/24 (* (pow re 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))))) |
(+ 1/2 (+ (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))) (* (pow re 2) (+ (* -1/2 (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) (* 1/24 (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))))) |
1 |
(+ 1 (* -1/2 (pow re 2))) |
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) |
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) |
1/2 |
(+ 1/2 (* -1/4 (pow re 2))) |
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) |
(pow re 2) |
-1/4 |
(- (* 1/48 (pow re 2)) 1/4) |
(- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))) |
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))) |
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im))))))))) |
1/48 |
(+ 1/48 (* -1/1440 (pow re 2))) |
(+ (cos re) (* (pow im 2) (* (cos re) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))) |
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) |
(* (cos re) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) |
(cos re) |
(* 1/2 (cos re)) |
(* -1/4 (pow re 2)) |
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4)) |
(* -1/1440 (pow re 6)) |
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(* (pow re 6) (- (+ (* 1/48 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(* -1/1440 (pow re 4)) |
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) |
(* -1/1440 (pow re 2)) |
(* (pow re 2) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(+ (cos re) (* 1/2 (* (pow im 2) (cos re)))) |
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re))))) |
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re))))))) |
(+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re))) |
(+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos 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 (* 1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
1/24 |
(+ 1/24 (* 1/720 (pow im 2))) |
(+ 1/2 (* 1/24 (pow im 2))) |
(* 1/720 (* (pow im 6) (cos re))) |
(* (pow im 6) (+ (* 1/720 (cos re)) (* 1/24 (/ (cos re) (pow im 2))))) |
(* (pow im 6) (+ (* 1/720 (cos re)) (+ (* 1/24 (/ (cos re) (pow im 2))) (* 1/2 (/ (cos re) (pow im 4)))))) |
(* (pow im 6) (+ (* 1/720 (cos re)) (+ (* 1/24 (/ (cos re) (pow im 2))) (+ (* 1/2 (/ (cos re) (pow im 4))) (/ (cos re) (pow im 6)))))) |
(* 1/720 (* (pow im 4) (cos re))) |
(* (pow im 4) (+ (* 1/720 (cos re)) (* 1/24 (/ (cos re) (pow im 2))))) |
(* (pow im 4) (+ (* 1/720 (cos re)) (+ (* 1/24 (/ (cos re) (pow im 2))) (* 1/2 (/ (cos re) (pow im 4)))))) |
(+ (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)))))) |
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) |
(+ (exp im) (exp (* -1 im))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | re | @ | inf | ((+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (cos re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (cos re) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (exp (neg im)) (exp im)) (+ (* -1/1440 (* re re)) 1/48)) |
| 3.0ms | re | @ | -inf | ((+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (cos re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (cos re) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (exp (neg im)) (exp im)) (+ (* -1/1440 (* re re)) 1/48)) |
| 3.0ms | im | @ | inf | ((+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (cos re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (cos re) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (exp (neg im)) (exp im)) (+ (* -1/1440 (* re re)) 1/48)) |
| 3.0ms | re | @ | 0 | ((+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (cos re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (cos re) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (exp (neg im)) (exp im)) (+ (* -1/1440 (* re re)) 1/48)) |
| 2.0ms | im | @ | -inf | ((+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (cos re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (cos re) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (exp (neg im)) (exp im)) (+ (* -1/1440 (* re re)) 1/48)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 232 | 1283 |
| 1 | 719 | 1200 |
| 2 | 2281 | 1122 |
| 3 | 6828 | 1073 |
| 4 | 7972 | 1073 |
| 0 | 8175 | 969 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) (* (pow re 2) (- (* -1/2 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) 1/2)))) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) (* (pow re 2) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))) 1/2)))) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) (* (pow re 2) (+ 1/24 (+ (* 1/24 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) (* (pow re 2) (- (* -1/720 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) 1/720)))))) 1/2)))) |
(* 1/2 (+ (exp im) (exp (neg im)))) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im)))))))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im))))))))) |
(+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))) |
(+ 1/2 (+ (* -1/2 (* (pow re 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) |
(+ 1/2 (+ (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))) (* (pow re 2) (+ (* -1/2 (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) (* 1/24 (* (pow re 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))))) |
(+ 1/2 (+ (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))) (* (pow re 2) (+ (* -1/2 (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) (* 1/24 (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))))) |
1 |
(+ 1 (* -1/2 (pow re 2))) |
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) |
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) |
1/2 |
(+ 1/2 (* -1/4 (pow re 2))) |
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) |
(pow re 2) |
-1/4 |
(- (* 1/48 (pow re 2)) 1/4) |
(- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))) |
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))) |
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im))))))))) |
1/48 |
(+ 1/48 (* -1/1440 (pow re 2))) |
(+ (cos re) (* (pow im 2) (* (cos re) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))) |
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) |
(* (cos re) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) |
(cos re) |
(* 1/2 (cos re)) |
(* -1/4 (pow re 2)) |
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4)) |
(* -1/1440 (pow re 6)) |
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(* (pow re 6) (- (+ (* 1/48 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(* -1/1440 (pow re 4)) |
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) |
(* -1/1440 (pow re 2)) |
(* (pow re 2) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(+ (cos re) (* 1/2 (* (pow im 2) (cos re)))) |
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re))))) |
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re))))))) |
(+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re))) |
(+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos 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 (* 1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
1/24 |
(+ 1/24 (* 1/720 (pow im 2))) |
(+ 1/2 (* 1/24 (pow im 2))) |
(* 1/720 (* (pow im 6) (cos re))) |
(* (pow im 6) (+ (* 1/720 (cos re)) (* 1/24 (/ (cos re) (pow im 2))))) |
(* (pow im 6) (+ (* 1/720 (cos re)) (+ (* 1/24 (/ (cos re) (pow im 2))) (* 1/2 (/ (cos re) (pow im 4)))))) |
(* (pow im 6) (+ (* 1/720 (cos re)) (+ (* 1/24 (/ (cos re) (pow im 2))) (+ (* 1/2 (/ (cos re) (pow im 4))) (/ (cos re) (pow im 6)))))) |
(* 1/720 (* (pow im 4) (cos re))) |
(* (pow im 4) (+ (* 1/720 (cos re)) (* 1/24 (/ (cos re) (pow im 2))))) |
(* (pow im 4) (+ (* 1/720 (cos re)) (+ (* 1/24 (/ (cos re) (pow im 2))) (* 1/2 (/ (cos re) (pow im 4)))))) |
(+ (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)))))) |
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) |
(+ (exp im) (exp (* -1 im))) |
| Outputs |
|---|
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) (* (pow re 2) (- (* -1/2 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) 1/2)))) |
(fma.f64 (*.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)) im) im (fma.f64 (*.f64 #s(literal -1/2 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 re re) #s(literal 1 binary64))) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) (* (pow re 2) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))) 1/2)))) |
(fma.f64 (*.f64 (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 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 re re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) (* (pow re 2) (+ 1/24 (+ (* 1/24 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) (* (pow re 2) (- (* -1/720 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) 1/720)))))) 1/2)))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/720 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))) re) re) (*.f64 re re) (*.f64 (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 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (*.f64 re re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(* 1/2 (+ (exp im) (exp (neg im)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im)))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im))))))))) |
(fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) |
(+ 1/2 (* (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)) |
(+ 1/2 (+ (* -1/2 (* (pow re 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #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))) |
(+ 1/2 (+ (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))) (* (pow re 2) (+ (* -1/2 (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) (* 1/24 (* (pow re 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))))) |
(*.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)) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) |
(+ 1/2 (+ (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))) (* (pow re 2) (+ (* -1/2 (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) (* 1/24 (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))))) |
(fma.f64 (*.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)) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64))) (*.f64 re 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))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow re 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) |
(fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 (pow re 2))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(pow re 2) |
(*.f64 re re) |
-1/4 |
#s(literal -1/4 binary64) |
(- (* 1/48 (pow re 2)) 1/4) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) |
(- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4) |
(fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im))))))))) |
(fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) |
1/48 |
#s(literal 1/48 binary64) |
(+ 1/48 (* -1/1440 (pow re 2))) |
(fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) |
(+ (cos re) (* (pow im 2) (* (cos re) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))) |
(*.f64 (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)) (cos.f64 re)) |
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re)) |
(* (cos re) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) |
(*.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)) (cos.f64 re)) |
(cos re) |
(cos.f64 re) |
(* 1/2 (cos re)) |
(*.f64 (cos.f64 re) #s(literal 1/2 binary64)) |
(* -1/4 (pow re 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 re re)) |
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re) |
(* -1/1440 (pow re 6)) |
(*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/1440 binary64)) |
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/1440 binary64)) (pow.f64 re #s(literal 6 binary64))) |
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal 1/1440 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 re re)))) (pow.f64 re #s(literal 6 binary64))) |
(* (pow re 6) (- (+ (* 1/48 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal 1/48 binary64) (*.f64 re re))) (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/1440 binary64))) (pow.f64 re #s(literal 6 binary64))) |
(* -1/1440 (pow re 4)) |
(*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/1440 binary64)) |
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/1440 binary64))) |
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal 1/1440 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 re re)))) (pow.f64 re #s(literal 4 binary64))) |
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re)) |
(* -1/1440 (pow re 2)) |
(*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) |
(* (pow re 2) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/1440 binary64)) re) re) |
(+ (cos re) (* 1/2 (* (pow im 2) (cos re)))) |
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re)) |
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re))))) |
(*.f64 (cos.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))) |
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re))))))) |
(*.f64 (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)) (cos.f64 re)) |
(+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (cos.f64 re)) |
(+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re))))) |
(*.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)) (cos.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 (* 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)) |
1/24 |
#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)) |
(* 1/720 (* (pow im 6) (cos re))) |
(*.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/720 binary64)) (cos.f64 re)) |
(* (pow im 6) (+ (* 1/720 (cos re)) (* 1/24 (/ (cos re) (pow im 2))))) |
(*.f64 (*.f64 (cos.f64 re) (+.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 (cos re)) (+ (* 1/24 (/ (cos re) (pow im 2))) (* 1/2 (/ (cos re) (pow im 4)))))) |
(*.f64 (*.f64 (cos.f64 re) (+.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 (cos re)) (+ (* 1/24 (/ (cos re) (pow im 2))) (+ (* 1/2 (/ (cos re) (pow im 4))) (/ (cos re) (pow im 6)))))) |
(*.f64 (fma.f64 (cos.f64 re) (+.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))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64))) |
(* 1/720 (* (pow im 4) (cos re))) |
(*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/720 binary64)) (cos.f64 re)) |
(* (pow im 4) (+ (* 1/720 (cos re)) (* 1/24 (/ (cos re) (pow im 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (cos.f64 re)) (*.f64 im im)) |
(* (pow im 4) (+ (* 1/720 (cos re)) (+ (* 1/24 (/ (cos re) (pow im 2))) (* 1/2 (/ (cos re) (pow im 4)))))) |
(*.f64 (*.f64 (cos.f64 re) (+.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 4 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))) |
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re)) |
(+ (exp im) (exp (* -1 im))) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 281 |
| 0 | 72 | 277 |
| 1 | 270 | 261 |
| 2 | 1795 | 261 |
| 0 | 8384 | 261 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (cos.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) (cos.f64 re)) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (*.f64 (cos.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) (cos.f64 re))) |
(*.f64 (cos.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))) |
(cos.f64 re) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) |
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(*.f64 re re) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) |
(*.f64 #s(literal 1 binary64) (cosh.f64 im)) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
(cosh.f64 im) |
#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 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 (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) |
| Outputs |
|---|
(*.f64 (fma.f64 (pow.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)) (cos.f64 re)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)))) (pow.f64 (-.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)) (cos.f64 re)) (*.f64 im im)) (cos.f64 re)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.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)) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (pow.f64 (fma.f64 (cos.f64 re) (-.f64 (cos.f64 re) (*.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)) (cos.f64 re)) (*.f64 im im))) (pow.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)) (cos.f64 re)) (*.f64 im im)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.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)) (cos.f64 re)) (*.f64 im im)) (cos.f64 re)) (fma.f64 (pow.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)) (cos.f64 re)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (cos.f64 re) (-.f64 (cos.f64 re) (*.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)) (cos.f64 re)) (*.f64 im im))) (pow.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)) (cos.f64 re)) (*.f64 im im)) #s(literal 2 binary64))) (fma.f64 (pow.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)) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.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)) (cos.f64 re)) (*.f64 im im)) #s(literal 2 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)) (cos.f64 re)) (*.f64 im im)) (cos.f64 re))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 re) #s(literal 2 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)) (cos.f64 re)) (*.f64 im im)) (cos.f64 re))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.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)) (cos.f64 re)) (*.f64 im im)) #s(literal 2 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)) (cos.f64 re)) (*.f64 im im)) (cos.f64 re))) (/.f64 (pow.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)) (cos.f64 re)) (*.f64 im im)) #s(literal 2 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)) (cos.f64 re)) (*.f64 im im)) (cos.f64 re))) (fma.f64 (/.f64 (pow.f64 (cos.f64 re) #s(literal 2 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)) (cos.f64 re)) (*.f64 im im)) (cos.f64 re))) (/.f64 (pow.f64 (cos.f64 re) #s(literal 2 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)) (cos.f64 re)) (*.f64 im im)) (cos.f64 re))) (*.f64 (/.f64 (pow.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)) (cos.f64 re)) (*.f64 im im)) #s(literal 2 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)) (cos.f64 re)) (*.f64 im im)) (cos.f64 re))) (/.f64 (pow.f64 (cos.f64 re) #s(literal 2 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)) (cos.f64 re)) (*.f64 im im)) (cos.f64 re))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (pow.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)) (cos.f64 re)) (*.f64 im im)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 re) (*.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)) (cos.f64 re)) (*.f64 im im))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.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)) (cos.f64 re)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (-.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)) (cos.f64 re)) (*.f64 im im)) (cos.f64 re))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.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)) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 re) (-.f64 (cos.f64 re) (*.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)) (cos.f64 re)) (*.f64 im im))) (pow.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)) (cos.f64 re)) (*.f64 im im)) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.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)) (cos.f64 re)) (*.f64 im im)) #s(literal 4 binary64)) (pow.f64 (cos.f64 re) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.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)) (cos.f64 re)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (pow.f64 (cos.f64 re) #s(literal 2 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)) (cos.f64 re)) (*.f64 im im)) (cos.f64 re)))) |
(/.f64 (*.f64 (-.f64 (pow.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)) (cos.f64 re)) (*.f64 im im)) #s(literal 6 binary64)) (pow.f64 (cos.f64 re) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.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)) (cos.f64 re)) (*.f64 im im)) #s(literal 4 binary64)) (+.f64 (pow.f64 (cos.f64 re) #s(literal 4 binary64)) (pow.f64 (*.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)) (cos.f64 re)) (*.f64 im im)) (cos.f64 re)) #s(literal 2 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)) (cos.f64 re)) (*.f64 im im)) (cos.f64 re)))) |
(/.f64 (*.f64 (-.f64 (pow.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)) (cos.f64 re)) (*.f64 im im)) #s(literal 6 binary64)) (pow.f64 (cos.f64 re) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.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)) (cos.f64 re)) (*.f64 im im)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (fma.f64 (cos.f64 re) (-.f64 (cos.f64 re) (*.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)) (cos.f64 re)) (*.f64 im im))) (pow.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)) (cos.f64 re)) (*.f64 im im)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (+.f64 (pow.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)) (cos.f64 re)) (*.f64 im im)) #s(literal 9 binary64)) (pow.f64 (cos.f64 re) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.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)) (cos.f64 re)) (*.f64 im im)) #s(literal 6 binary64)) (-.f64 (pow.f64 (cos.f64 re) #s(literal 6 binary64)) (pow.f64 (*.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)) (cos.f64 re)) (*.f64 im im)) (cos.f64 re)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 re) (-.f64 (cos.f64 re) (*.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)) (cos.f64 re)) (*.f64 im im))) (pow.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)) (cos.f64 re)) (*.f64 im im)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.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)) (cos.f64 re)) (*.f64 im im)) #s(literal 2 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)) (cos.f64 re)) (*.f64 im im)) (cos.f64 re))) (*.f64 (-.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)) (cos.f64 re)) (*.f64 im im)) (cos.f64 re)) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))) (*.f64 (-.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)) (cos.f64 re)) (*.f64 im im)) (cos.f64 re)) (-.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)) (cos.f64 re)) (*.f64 im im)) (cos.f64 re)))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (pow.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)) (cos.f64 re)) (*.f64 im im)) #s(literal 2 binary64))) (-.f64 (cos.f64 re) (*.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)) (cos.f64 re)) (*.f64 im im)))) |
(/.f64 (neg.f64 (fma.f64 (pow.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)) (cos.f64 re)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))))) (neg.f64 (-.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)) (cos.f64 re)) (*.f64 im im)) (cos.f64 re)))) |
(/.f64 (neg.f64 (fma.f64 (pow.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)) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 re) (cos.f64 re) (-.f64 (pow.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)) (cos.f64 re)) (*.f64 im im)) #s(literal 2 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)) (cos.f64 re)) (*.f64 im im)) (cos.f64 re)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.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)) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 re) (-.f64 (cos.f64 re) (*.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)) (cos.f64 re)) (*.f64 im im))) (pow.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)) (cos.f64 re)) (*.f64 im im)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (pow.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)) (cos.f64 re)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 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)) (cos.f64 re)) (*.f64 im im)) (cos.f64 re))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.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)) (cos.f64 re)) (*.f64 im im)) (cos.f64 re)) (fma.f64 (pow.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)) (cos.f64 re)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 re) (-.f64 (cos.f64 re) (*.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)) (cos.f64 re)) (*.f64 im im))) (pow.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)) (cos.f64 re)) (*.f64 im im)) #s(literal 2 binary64))) (fma.f64 (pow.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)) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64)))))) |
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(fma.f64 (*.f64 re re) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) |
(fma.f64 re (*.f64 #s(literal -1/1440 binary64) re) #s(literal 1/48 binary64)) |
(-.f64 (/.f64 #s(literal 1/2304 binary64) (-.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)))) (/.f64 (*.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal -1/48 binary64))) (/.f64 #s(literal 1/2304 binary64) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal -1/48 binary64)))) |
(+.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) #s(literal 1/48 binary64)) |
(+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) |
Compiled 19 015 to 2 044 computations (89.3% saved)
19 alts after pruning (15 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 404 | 9 | 413 |
| Fresh | 2 | 6 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 409 | 19 | 428 |
| Status | Accuracy | Program |
|---|---|---|
| 65.2% | (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) | |
| ✓ | 75.8% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| ✓ | 54.3% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
| ▶ | 91.1% | (*.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))) (cos.f64 re)) |
| 88.1% | (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) | |
| 54.8% | (*.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))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) | |
| 38.6% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) | |
| ▶ | 38.4% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
| ▶ | 39.1% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
| 50.7% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| 34.1% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) | |
| ▶ | 40.6% | (*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| 11.8% | (*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| ▶ | 46.0% | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| ✓ | 30.8% | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
| ✓ | 91.1% | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (*.f64 (cos.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) (cos.f64 re))) |
| 58.2% | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (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)))) | |
| 41.6% | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (fma.f64 (*.f64 (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 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 re re) (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))))) | |
| 29.8% | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (fma.f64 (*.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)) im) im (fma.f64 (*.f64 #s(literal -1/2 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 re re) #s(literal 1 binary64))))) |
Compiled 1 106 to 719 computations (35% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| cost-diff | 448 | (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) | |
| cost-diff | 704 | (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re) | |
| cost-diff | 0 | #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) | |
| cost-diff | 0 | #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (fma.f64 im im #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 520 |
| 0 | 84 | 516 |
| 1 | 145 | 516 |
| 2 | 216 | 516 |
| 3 | 419 | 516 |
| 4 | 741 | 498 |
| 5 | 967 | 498 |
| 6 | 1171 | 498 |
| 7 | 1751 | 498 |
| 8 | 3427 | 498 |
| 9 | 4466 | 498 |
| 10 | 5855 | 498 |
| 0 | 8232 | 480 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 im im) |
im |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(cos.f64 re) |
re |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (neg 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 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) |
#s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) |
#s(literal 1/48 binary64) |
(*.f64 re re) |
re |
#s(literal -1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) |
#s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) |
(*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) |
#s(literal -1/1440 binary64) |
(*.f64 re re) |
re |
#s(literal -1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) |
#s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 re re)) |
#s(literal 1/2 binary64) |
(*.f64 re re) |
re |
#s(literal 1/4 binary64) |
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 im im #s(literal 2 binary64)) |
im |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
(*.f64 (cos.f64 re) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 im im) |
im |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(cos.f64 re) |
re |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (neg 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 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (*.f64 re re) #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (*.f64 re re) #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 re re) #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) |
(fma.f64 (*.f64 re re) #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) |
#s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) |
#s(literal 1/48 binary64) |
(*.f64 re re) |
re |
#s(literal -1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 (*.f64 re re) #s(literal -1/1440 binary64))) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 (*.f64 re re) #s(literal -1/1440 binary64))) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) |
(fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 (*.f64 re re) #s(literal -1/1440 binary64))) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) |
(fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 (*.f64 re re) #s(literal -1/1440 binary64))) (*.f64 re re) #s(literal -1/4 binary64)) |
#s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) |
#s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 (*.f64 re re) #s(literal -1/1440 binary64))) |
(*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) |
(*.f64 (*.f64 re re) #s(literal -1/1440 binary64)) |
#s(literal -1/1440 binary64) |
(*.f64 re re) |
re |
#s(literal -1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) |
#s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re)) |
#s(approx (+ (* (* re re) -1/4) 1/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) |
(fma.f64 #s(literal -1/4 binary64) re (/.f64 #s(literal 1/2 binary64) re)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 re re)) |
#s(literal 1/2 binary64) |
(*.f64 re re) |
re |
#s(literal 1/4 binary64) |
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 im im #s(literal 2 binary64)) |
im |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.5336320798047036 | (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) | |
| accuracy | 15.48594943292214 | #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) | |
| accuracy | 15.884577755854684 | (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) | |
| accuracy | 32.29322228080452 | #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) | |
| accuracy | 0.36752910462996247 | (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) | |
| accuracy | 29.25160496720907 | #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) | |
| accuracy | 31.19512817974244 | #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) | |
| accuracy | 32.20313247169715 | #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) | |
| accuracy | 0.04296875 | (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) | |
| accuracy | 29.25160496720907 | #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) | |
| accuracy | 32.20313247169715 | #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) | |
| accuracy | 32.868310369825714 | #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) | |
| accuracy | 0 | (fma.f64 im im #s(literal 2 binary64)) | |
| accuracy | 0.00390625 | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| accuracy | 15.48594943292214 | #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) | |
| accuracy | 29.42570921534693 | #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) | |
| accuracy | 0.04296875 | (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 | 0.05859375 | (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 | 0.07421875 | (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) | |
| accuracy | 5.668074614096183 | #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))) |
| 91.0ms | 256× | 0 | valid |
Compiled 826 to 104 computations (87.4% saved)
ival-mult: 22.0ms (32.9% of total)const: 15.0ms (22.4% of total)ival-add: 10.0ms (14.9% of total)ival-cos: 6.0ms (9% of total)ival-div: 4.0ms (6% of total)ival-exp: 3.0ms (4.5% of total)ival-cosh: 3.0ms (4.5% of total)ival-sub: 1.0ms (1.5% of total)exact: 1.0ms (1.5% of total)ival-neg: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) |
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 im im #s(literal 2 binary64)) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) |
#s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) |
#s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) |
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) |
(*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 re re)) |
| Outputs |
|---|
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))) |
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))) |
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im))))))))) |
(* 1/2 (+ (exp im) (exp (neg im)))) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im)))))))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im))))))))) |
1/2 |
(+ 1/2 (* -1/4 (pow re 2))) |
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) |
-1/4 |
(- (* 1/48 (pow re 2)) 1/4) |
(- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4) |
1/48 |
(+ 1/48 (* -1/1440 (pow re 2))) |
(/ 1/2 re) |
(/ (+ 1/2 (* -1/4 (pow re 2))) re) |
(* -1/1440 (pow re 2)) |
(/ 1/2 (pow re 2)) |
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (cos re)) |
(* -1/1440 (pow re 6)) |
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(* (pow re 6) (- (+ (* 1/48 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(* -1/1440 (pow re 4)) |
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(* (pow re 2) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(* -1/4 (pow re 2)) |
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4)) |
(* -1/4 re) |
(* re (- (* 1/2 (/ 1 (pow re 2))) 1/4)) |
(* -1 (* re (- 1/4 (* 1/2 (/ 1 (pow re 2)))))) |
(cos re) |
(+ (cos re) (* 1/2 (* (pow im 2) (cos re)))) |
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re))))) |
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re))))))) |
1 |
(+ 1 (* 1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) |
(+ 1/2 (* 1/24 (pow im 2))) |
(+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))) |
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))) |
(* 1/720 (pow im 6)) |
(* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))) |
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6)))))) |
(* 1/720 (pow im 4)) |
(* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))) |
(+ (exp im) (exp (neg im))) |
(pow im 2) |
(* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2))))) |
(* 1/720 (pow im 2)) |
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) |
(+ (exp im) (exp (* -1 im))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | re | @ | inf | ((* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (+ (* -1/1440 (* re re)) 1/48) (* (* (- (/ 1/2 (* re re)) 1/4) re) re) (* (- (/ 1/2 (* re re)) 1/4) re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* 1/720 (* im im)) 1/24) (+ (* -1/1440 (* re re)) 1/48) (+ (exp (neg im)) (exp im)) (* -1/1440 (* re re)) (/ 1/2 (* re re))) |
| 3.0ms | re | @ | -inf | ((* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (+ (* -1/1440 (* re re)) 1/48) (* (* (- (/ 1/2 (* re re)) 1/4) re) re) (* (- (/ 1/2 (* re re)) 1/4) re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* 1/720 (* im im)) 1/24) (+ (* -1/1440 (* re re)) 1/48) (+ (exp (neg im)) (exp im)) (* -1/1440 (* re re)) (/ 1/2 (* re re))) |
| 2.0ms | im | @ | inf | ((* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (+ (* -1/1440 (* re re)) 1/48) (* (* (- (/ 1/2 (* re re)) 1/4) re) re) (* (- (/ 1/2 (* re re)) 1/4) re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* 1/720 (* im im)) 1/24) (+ (* -1/1440 (* re re)) 1/48) (+ (exp (neg im)) (exp im)) (* -1/1440 (* re re)) (/ 1/2 (* re re))) |
| 2.0ms | re | @ | 0 | ((* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (+ (* -1/1440 (* re re)) 1/48) (* (* (- (/ 1/2 (* re re)) 1/4) re) re) (* (- (/ 1/2 (* re re)) 1/4) re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* 1/720 (* im im)) 1/24) (+ (* -1/1440 (* re re)) 1/48) (+ (exp (neg im)) (exp im)) (* -1/1440 (* re re)) (/ 1/2 (* re re))) |
| 2.0ms | im | @ | -inf | ((* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (+ (* -1/1440 (* re re)) 1/48) (* (* (- (/ 1/2 (* re re)) 1/4) re) re) (* (- (/ 1/2 (* re re)) 1/4) re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* 1/720 (* im im)) 1/24) (+ (* -1/1440 (* re re)) 1/48) (+ (exp (neg im)) (exp im)) (* -1/1440 (* re re)) (/ 1/2 (* re re))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 171 | 766 |
| 1 | 519 | 711 |
| 2 | 1426 | 693 |
| 3 | 4165 | 662 |
| 0 | 8367 | 610 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))) |
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))) |
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im))))))))) |
(* 1/2 (+ (exp im) (exp (neg im)))) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im)))))))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im))))))))) |
1/2 |
(+ 1/2 (* -1/4 (pow re 2))) |
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) |
-1/4 |
(- (* 1/48 (pow re 2)) 1/4) |
(- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4) |
1/48 |
(+ 1/48 (* -1/1440 (pow re 2))) |
(/ 1/2 re) |
(/ (+ 1/2 (* -1/4 (pow re 2))) re) |
(* -1/1440 (pow re 2)) |
(/ 1/2 (pow re 2)) |
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (cos re)) |
(* -1/1440 (pow re 6)) |
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(* (pow re 6) (- (+ (* 1/48 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(* -1/1440 (pow re 4)) |
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(* (pow re 2) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(* -1/4 (pow re 2)) |
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4)) |
(* -1/4 re) |
(* re (- (* 1/2 (/ 1 (pow re 2))) 1/4)) |
(* -1 (* re (- 1/4 (* 1/2 (/ 1 (pow re 2)))))) |
(cos re) |
(+ (cos re) (* 1/2 (* (pow im 2) (cos re)))) |
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re))))) |
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re))))))) |
1 |
(+ 1 (* 1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) |
(+ 1/2 (* 1/24 (pow im 2))) |
(+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))) |
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))) |
(* 1/720 (pow im 6)) |
(* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))) |
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6)))))) |
(* 1/720 (pow im 4)) |
(* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))) |
(+ (exp im) (exp (neg im))) |
(pow im 2) |
(* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2))))) |
(* 1/720 (pow im 2)) |
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) |
(+ (exp im) (exp (* -1 im))) |
| Outputs |
|---|
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im))))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(* 1/2 (+ (exp im) (exp (neg im)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im)))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im))))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 (pow re 2))) |
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) |
(fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
-1/4 |
#s(literal -1/4 binary64) |
(- (* 1/48 (pow re 2)) 1/4) |
(fma.f64 (*.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) |
(- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4) |
(fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) |
1/48 |
#s(literal 1/48 binary64) |
(+ 1/48 (* -1/1440 (pow re 2))) |
(fma.f64 (*.f64 re re) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) |
(/ 1/2 re) |
(/.f64 #s(literal 1/2 binary64) re) |
(/ (+ 1/2 (* -1/4 (pow re 2))) re) |
(/.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) re) |
(* -1/1440 (pow re 2)) |
(*.f64 (*.f64 re re) #s(literal -1/1440 binary64)) |
(/ 1/2 (pow re 2)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) re) re) |
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re)) |
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re)) |
(* 1/2 (cos re)) |
(*.f64 (cos.f64 re) #s(literal 1/2 binary64)) |
(* -1/1440 (pow re 6)) |
(*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/1440 binary64)) |
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/1440 binary64)) (pow.f64 re #s(literal 6 binary64))) |
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/1440 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 4 binary64)))) (pow.f64 re #s(literal 6 binary64))) |
(* (pow re 6) (- (+ (* 1/48 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal 1/48 binary64) (*.f64 re re))) (-.f64 #s(literal 1/1440 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))))) (pow.f64 re #s(literal 6 binary64))) |
(* -1/1440 (pow re 4)) |
(*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/1440 binary64)) |
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/1440 binary64))) |
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/1440 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 4 binary64)))) (pow.f64 re #s(literal 4 binary64))) |
(* (pow re 2) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(fma.f64 (*.f64 re re) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) |
(* -1/4 (pow re 2)) |
(*.f64 (*.f64 re re) #s(literal -1/4 binary64)) |
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4)) |
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(* -1/4 re) |
(*.f64 #s(literal -1/4 binary64) re) |
(* re (- (* 1/2 (/ 1 (pow re 2))) 1/4)) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) re) re) #s(literal 1/4 binary64)) re) |
(* -1 (* re (- 1/4 (* 1/2 (/ 1 (pow re 2)))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) re) re) #s(literal 1/4 binary64)) re) |
(cos re) |
(cos.f64 re) |
(+ (cos re) (* 1/2 (* (pow im 2) (cos re)))) |
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re)) |
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re))))) |
(*.f64 (cos.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))) |
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re))))))) |
(*.f64 (cos.f64 re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow im 2))) |
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(+ 1/2 (* 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)) |
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))) |
1/24 |
#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)) |
(* 1/720 (pow im 6)) |
(*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/720 binary64)) |
(* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 6 binary64))) |
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 im im))) (pow.f64 im #s(literal 6 binary64))) |
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6)))))) |
(fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 im im))) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64)) |
(* 1/720 (pow im 4)) |
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/720 binary64)) |
(* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im) |
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 4 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) |
(+ (exp im) (exp (neg im))) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(pow im 2) |
(*.f64 im im) |
(* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2))))) |
(fma.f64 im im #s(literal 2 binary64)) |
(* 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)) |
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (cos.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 | 55 | 410 |
| 0 | 84 | 406 |
| 1 | 302 | 394 |
| 2 | 1995 | 394 |
| 0 | 8242 | 379 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) |
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 im im #s(literal 2 binary64)) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) |
#s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) |
#s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) |
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) |
(*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 re re)) |
| Outputs |
|---|
(*.f64 (cos.f64 re) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.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))) #s(literal 3 binary64)) (pow.f64 (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)) #s(literal 3 binary64))) (fma.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 (*.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))) (fma.f64 (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)) (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 (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 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im)))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64))))) |
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(+.f64 (*.f64 re (/.f64 #s(literal 1/2 binary64) (*.f64 re re))) (*.f64 #s(literal -1/4 binary64) re)) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (fma.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal -1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (fma.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal -1/4 binary64)) re) re)))) |
#s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (fma.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal -1/4 binary64)) re) re))) |
(*.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/576 binary64)) (pow.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (pow.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/576 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64)))) (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (fma.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/576 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/576 binary64))) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))) |
(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) #s(literal 1/720 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/576 binary64))) (neg.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/576 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/576 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64)))) (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/576 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64)))) (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) |
(fma.f64 im (*.f64 #s(literal 1/720 binary64) im) #s(literal 1/24 binary64)) |
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) #s(literal 1/720 binary64)))) (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))) |
(+.f64 (*.f64 (*.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) |
#s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) |
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal -1/1440 binary64) re) re) |
(*.f64 (*.f64 re re) #s(literal -1/1440 binary64)) |
(*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) |
(*.f64 re (*.f64 #s(literal -1/1440 binary64) re)) |
(*.f64 (pow.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) re)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) re) (pow.f64 re #s(literal -1 binary64))) |
(*.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (neg.f64 re) re) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal -2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))) |
(pow.f64 (/.f64 re (/.f64 #s(literal 1/2 binary64) re)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 re re) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) re))) (neg.f64 (neg.f64 re))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) re)) (neg.f64 re)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) re) re) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 re (/.f64 #s(literal 1/2 binary64) re)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 re re) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 re) re)))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 re) re)) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (neg.f64 re) re))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 re re)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 re re) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 re (/.f64 #s(literal 1/2 binary64) re))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 re re) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal 2 binary64))) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 re re))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 re re) #s(literal 2 binary64))) #s(literal -1 binary64))) |
Compiled 16 743 to 1 760 computations (89.5% saved)
22 alts after pruning (16 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 354 | 8 | 362 |
| Fresh | 2 | 8 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 3 | 4 |
| Total | 359 | 22 | 381 |
| Status | Accuracy | Program |
|---|---|---|
| 65.2% | (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) | |
| ✓ | 75.8% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| ✓ | 91.1% | (*.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))) (cos.f64 re)) |
| 88.1% | (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) | |
| 54.8% | (*.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))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) | |
| 38.6% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) | |
| 39.1% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) | |
| 50.7% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| ✓ | 38.4% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
| 34.1% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) | |
| 27.5% | (*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) | |
| 33.3% | (*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) | |
| 46.0% | (*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(approx (* (- (/ 1/2 (* re re)) 1/4) re) (/.f64 #s(literal 1/2 binary64) re)) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| 11.8% | (*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(approx (* (- (/ 1/2 (* re re)) 1/4) re) (*.f64 #s(literal -1/4 binary64) re)) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| ✓ | 46.0% | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| 18.3% | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) | |
| ✓ | 30.8% | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
| 54.3% | #s(approx (* (* 1 (cosh im)) (cos re)) (cos.f64 re)) | |
| ✓ | 91.1% | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (*.f64 (cos.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) (cos.f64 re))) |
| 58.2% | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (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)))) | |
| 41.6% | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (fma.f64 (*.f64 (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 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 re re) (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))))) | |
| 29.8% | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (fma.f64 (*.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)) im) im (fma.f64 (*.f64 #s(literal -1/2 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 re re) #s(literal 1 binary64))))) |
Compiled 1 697 to 644 computations (62.1% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(approx (* (- (/ 1/2 (* re re)) 1/4) re) (*.f64 #s(literal -1/4 binary64) re)) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(approx (* (- (/ 1/2 (* re re)) 1/4) re) (/.f64 #s(literal 1/2 binary64) re)) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (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 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp 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))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (fma.f64 (*.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)) im) im (fma.f64 (*.f64 #s(literal -1/2 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 re re) #s(literal 1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (fma.f64 (*.f64 (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 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 re re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
#s(approx (* (* 1 (cosh im)) (cos re)) (cos.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (*.f64 (cos.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) (cos.f64 re))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(/.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) |
6 calls:
| 41.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 10.0ms | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 10.0ms | re |
| 10.0ms | im |
| 9.0ms | (cos.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | re |
| 100.0% | 1 | im |
| 100.0% | 1 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 100.0% | 1 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 100.0% | 1 | (cos.f64 re) |
| 100.0% | 1 | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
Compiled 25 to 28 computations (-12% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(approx (* (- (/ 1/2 (* re re)) 1/4) re) (*.f64 #s(literal -1/4 binary64) re)) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(approx (* (- (/ 1/2 (* re re)) 1/4) re) (/.f64 #s(literal 1/2 binary64) re)) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (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 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp 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))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (fma.f64 (*.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)) im) im (fma.f64 (*.f64 #s(literal -1/2 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 re re) #s(literal 1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (fma.f64 (*.f64 (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 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 re re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
#s(approx (* (* 1 (cosh im)) (cos re)) (cos.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
| 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))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) |
6 calls:
| 61.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 38.0ms | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 11.0ms | im |
| 9.0ms | re |
| 8.0ms | (cos.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.8% | 2 | re |
| 98.0% | 3 | im |
| 100.0% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 94.9% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 94.9% | 2 | (cos.f64 re) |
| 91.1% | 1 | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
Compiled 25 to 28 computations (-12% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(approx (* (- (/ 1/2 (* re re)) 1/4) re) (*.f64 #s(literal -1/4 binary64) re)) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(approx (* (- (/ 1/2 (* re re)) 1/4) re) (/.f64 #s(literal 1/2 binary64) re)) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (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 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp 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))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (fma.f64 (*.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)) im) im (fma.f64 (*.f64 #s(literal -1/2 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 re re) #s(literal 1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (fma.f64 (*.f64 (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 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 re re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
#s(approx (* (* 1 (cosh im)) (cos re)) (cos.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
| 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))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) |
1 calls:
| 109.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 11 to 10 computations (9.1% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(approx (* (- (/ 1/2 (* re re)) 1/4) re) (*.f64 #s(literal -1/4 binary64) re)) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(approx (* (- (/ 1/2 (* re re)) 1/4) re) (/.f64 #s(literal 1/2 binary64) re)) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (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 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp 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))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (fma.f64 (*.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)) im) im (fma.f64 (*.f64 #s(literal -1/2 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 re re) #s(literal 1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (fma.f64 (*.f64 (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 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 re re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
#s(approx (* (* 1 (cosh im)) (cos re)) (cos.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #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))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) |
1 calls:
| 7.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 11 to 10 computations (9.1% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(approx (* (- (/ 1/2 (* re re)) 1/4) re) (*.f64 #s(literal -1/4 binary64) re)) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(approx (* (- (/ 1/2 (* re re)) 1/4) re) (/.f64 #s(literal 1/2 binary64) re)) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (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 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp 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))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (fma.f64 (*.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)) im) im (fma.f64 (*.f64 #s(literal -1/2 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 re re) #s(literal 1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (fma.f64 (*.f64 (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 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 re re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
#s(approx (* (* 1 (cosh im)) (cos re)) (cos.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #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))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
#s(approx (* (* 1 (cosh im)) (cos re)) (cos.f64 re)) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) |
1 calls:
| 7.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 11 to 10 computations (9.1% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(approx (* (- (/ 1/2 (* re re)) 1/4) re) (*.f64 #s(literal -1/4 binary64) re)) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(approx (* (- (/ 1/2 (* re re)) 1/4) re) (/.f64 #s(literal 1/2 binary64) re)) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (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 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp 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))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (fma.f64 (*.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)) im) im (fma.f64 (*.f64 #s(literal -1/2 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 re re) #s(literal 1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (fma.f64 (*.f64 (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 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 re re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
#s(approx (* (* 1 (cosh im)) (cos re)) (cos.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 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))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
#s(approx (* (* 1 (cosh im)) (cos re)) (cos.f64 re)) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (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)))) |
6 calls:
| 47.0ms | (cos.f64 re) |
| 8.0ms | re |
| 8.0ms | im |
| 7.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 7.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.3% | 2 | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 71.4% | 2 | re |
| 75.2% | 3 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 75.2% | 3 | (cos.f64 re) |
| 85.8% | 3 | im |
| 92.7% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 25 to 28 computations (-12% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(approx (* (- (/ 1/2 (* re re)) 1/4) re) (*.f64 #s(literal -1/4 binary64) re)) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(approx (* (- (/ 1/2 (* re re)) 1/4) re) (/.f64 #s(literal 1/2 binary64) re)) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (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 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp 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))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (fma.f64 (*.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)) im) im (fma.f64 (*.f64 #s(literal -1/2 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 re re) #s(literal 1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (fma.f64 (*.f64 (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 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 re re) (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))))) |
| 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))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (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)))) |
6 calls:
| 38.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 17.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 7.0ms | im |
| 7.0ms | re |
| 7.0ms | (cos.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.3% | 3 | re |
| 69.8% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 69.8% | 2 | (cos.f64 re) |
| 58.2% | 1 | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 62.7% | 3 | im |
| 69.8% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 25 to 28 computations (-12% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(approx (* (- (/ 1/2 (* re re)) 1/4) re) (*.f64 #s(literal -1/4 binary64) re)) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(approx (* (- (/ 1/2 (* re re)) 1/4) re) (/.f64 #s(literal 1/2 binary64) re)) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (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 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (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)))) |
3 calls:
| 5.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 5.0ms | (cos.f64 re) |
| 5.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.8% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 68.8% | 2 | (cos.f64 re) |
| 68.8% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 17 to 18 computations (-5.9% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(approx (* (- (/ 1/2 (* re re)) 1/4) re) (*.f64 #s(literal -1/4 binary64) re)) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(approx (* (- (/ 1/2 (* re re)) 1/4) re) (/.f64 #s(literal 1/2 binary64) re)) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
6 calls:
| 16.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 4.0ms | im |
| 4.0ms | re |
| 4.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 4.0ms | (cos.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.4% | 2 | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 52.2% | 2 | re |
| 54.7% | 4 | im |
| 59.6% | 3 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 59.6% | 3 | (cos.f64 re) |
| 56.6% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 25 to 28 computations (-12% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(approx (* (- (/ 1/2 (* re re)) 1/4) re) (*.f64 #s(literal -1/4 binary64) re)) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(approx (* (- (/ 1/2 (* re re)) 1/4) re) (/.f64 #s(literal 1/2 binary64) re)) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
3 calls:
| 10.0ms | (cos.f64 re) |
| 3.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 3.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.6% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 56.6% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 56.6% | 2 | (cos.f64 re) |
Compiled 17 to 18 computations (-5.9% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(approx (* (- (/ 1/2 (* re re)) 1/4) re) (*.f64 #s(literal -1/4 binary64) re)) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
3 calls:
| 24.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 3.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 2.0ms | (cos.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.6% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 56.6% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 56.6% | 2 | (cos.f64 re) |
Compiled 17 to 18 computations (-5.9% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
4 calls:
| 2.0ms | re |
| 2.0ms | (cos.f64 re) |
| 2.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 2.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.0% | 1 | re |
| 52.1% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 52.1% | 2 | (cos.f64 re) |
| 52.1% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 18 to 20 computations (-11.1% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
6 calls:
| 25.0ms | re |
| 2.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 2.0ms | im |
| 2.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 2.0ms | (cos.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.0% | 1 | re |
| 46.0% | 1 | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 46.0% | 1 | im |
| 46.0% | 1 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 46.0% | 1 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 46.0% | 1 | (cos.f64 re) |
Compiled 25 to 28 computations (-12% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
6 calls:
| 2.0ms | im |
| 2.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 1.0ms | re |
| 1.0ms | (cos.f64 re) |
| 1.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.0% | 2 | im |
| 46.1% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 34.3% | 2 | re |
| 34.2% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 34.2% | 2 | (cos.f64 re) |
| 46.0% | 2 | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
Compiled 25 to 28 computations (-12% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
6 calls:
| 5.0ms | (cos.f64 re) |
| 1.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 1.0ms | im |
| 1.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 1.0ms | re |
| Accuracy | Segments | Branch |
|---|---|---|
| 30.8% | 1 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 30.8% | 1 | (cos.f64 re) |
| 30.8% | 1 | re |
| 30.8% | 1 | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 30.8% | 1 | im |
| 30.8% | 1 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 25 to 28 computations (-12% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999026205846339 | 1.0 |
| 0.0ms | -inf | -0.9965117409061256 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999026205846339 | 1.0 |
| 0.0ms | -inf | -0.9965117409061256 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999026205846339 | 1.0 |
| 0.0ms | -inf | -0.9965117409061256 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999026205846339 | 1.0 |
| 0.0ms | -inf | -0.9965117409061256 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999026205846339 | 1.0 |
| 0.0ms | -inf | -0.9965117409061256 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0315049814444205 | 0.0020171416337191653 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0315049814444205 | 0.0020171416337191653 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999026205846339 | 0.9999760758241403 |
| 0.0ms | -0.021658752347622424 | 0.0020171416337191653 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.021658752347622424 | 0.0020171416337191653 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0315049814444205 | 0.0020171416337191653 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0315049814444205 | 0.0020171416337191653 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | +inf |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 114 | 936 |
| 1 | 139 | 936 |
| 2 | 141 | 936 |
| 3 | 142 | 936 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 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))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 9006322138943479/9007199254740992 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))) (cos.f64 re)) (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 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))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 9006322138943479/9007199254740992 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 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))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 9006322138943479/9007199254740992 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 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))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 9006322138943479/9007199254740992 binary64)) #s(approx (* (* 1 (cosh im)) (cos re)) (cos.f64 re)) (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 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))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 9006322138943479/9007199254740992 binary64)) #s(approx (* (* 1 (cosh im)) (cos re)) (cos.f64 re)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (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)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/288230376151711744 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))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (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))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (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))))) |
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 (cos.f64 re) #s(literal 9006748894778255/9007199254740992 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))) |
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) |
(*.f64 (cos.f64 re) (cosh.f64 im)) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 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))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 9006322138943479/9007199254740992 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))) (cos.f64 re)) (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))) #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)))) (if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 9006322138943479/9007199254740992 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))) (cos.f64 re)) (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (cosh.f64 im)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 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))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 9006322138943479/9007199254740992 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))) #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)))) (if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 9006322138943479/9007199254740992 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (cosh.f64 im)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 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))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 9006322138943479/9007199254740992 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))) #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)))) (if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 9006322138943479/9007199254740992 binary64)) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (cosh.f64 im)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 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))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 9006322138943479/9007199254740992 binary64)) #s(approx (* (* 1 (cosh im)) (cos re)) (cos.f64 re)) (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))) #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)))) (if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 9006322138943479/9007199254740992 binary64)) #s(approx (* (* 1 (cosh im)) (cos re)) (cos.f64 re)) (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (cosh.f64 im)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 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))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 9006322138943479/9007199254740992 binary64)) #s(approx (* (* 1 (cosh im)) (cos re)) (cos.f64 re)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (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)))))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))) #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)))) (if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 9006322138943479/9007199254740992 binary64)) #s(approx (* (* 1 (cosh im)) (cos re)) (cos.f64 re)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (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)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/288230376151711744 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))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (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))))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))) #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)))) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (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))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (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))))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (cos re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (cos re)) (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))))) |
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 (cos.f64 re) #s(literal 9006748894778255/9007199254740992 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))) |
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 (cos.f64 re) #s(literal 9006748894778255/9007199254740992 binary64)) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))) |
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 2 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 119 | 387 |
| 1 | 346 | 355 |
| 2 | 1078 | 345 |
| 3 | 3262 | 328 |
| 4 | 7338 | 328 |
| 5 | 7943 | 328 |
| 0 | 8010 | 288 |
| 0 | 10 | 28 |
| 0 | 17 | 28 |
| 1 | 47 | 24 |
| 2 | 285 | 22 |
| 3 | 2485 | 22 |
| 0 | 9034 | 22 |
| 0 | 171 | 766 |
| 1 | 519 | 711 |
| 2 | 1426 | 693 |
| 3 | 4165 | 662 |
| 0 | 8367 | 610 |
| 0 | 232 | 1283 |
| 1 | 719 | 1200 |
| 2 | 2281 | 1122 |
| 3 | 6828 | 1073 |
| 4 | 7972 | 1073 |
| 0 | 8175 | 969 |
| 0 | 243 | 1142 |
| 1 | 765 | 987 |
| 2 | 2412 | 876 |
| 3 | 6173 | 847 |
| 0 | 8217 | 774 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 843 to 866 computations (53% saved)
(abs re)
(abs im)
Compiled 1 934 to 298 computations (84.6% saved)
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