
Time bar (total: 8.3s)
| 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)
| 1.2s | 8 256× | 0 | valid |
ival-mult: 275.0ms (34.4% of total)ival-cos: 222.0ms (27.8% of total)ival-exp: 175.0ms (21.9% of total)ival-neg: 72.0ms (9% of total)ival-add: 39.0ms (4.9% of total)ival-true: 7.0ms (0.9% of total)exact: 5.0ms (0.6% of total)ival-assert: 4.0ms (0.5% 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 |
| 56.0ms | 512× | 0 | valid |
Compiled 81 to 34 computations (58% saved)
ival-cos: 17.0ms (43% of total)ival-exp: 8.0ms (20.2% of total)ival-mult: 7.0ms (17.7% of total)ival-neg: 5.0ms (12.6% of total)ival-add: 3.0ms (7.6% of total)ival-true: 1.0ms (2.5% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 57 |
| 1 | 110 | 55 |
| 2 | 318 | 55 |
| 3 | 1199 | 33 |
| 4 | 7028 | 33 |
| 0 | 10 | 11 |
| 0 | 17 | 11 |
| 1 | 44 | 11 |
| 2 | 127 | 11 |
| 3 | 528 | 11 |
| 4 | 2484 | 7 |
| 0 | 9039 | 7 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (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 (*.f64 (cosh.f64 im) (cos.f64 re)) #s(literal 1 binary64)) |
(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 | (cos.f64 re) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) | |
| cost-diff | 2 | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) | |
| cost-diff | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 33 |
| 0 | 17 | 33 |
| 1 | 44 | 33 |
| 2 | 127 | 33 |
| 3 | 528 | 33 |
| 4 | 2484 | 27 |
| 0 | 9039 | 27 |
| 1× | iter limit |
| 1× | node limit |
| 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 (*.f64 (cosh.f64 im) (cos.f64 re)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
(*.f64 (cos.f64 re) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(cos.f64 re) |
re |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(*.f64 #s(literal 2 binary64) (cosh.f64 im)) |
(exp.f64 (neg.f64 im)) |
(neg.f64 im) |
im |
(exp.f64 im) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (exp.f64 (neg.f64 im)) | |
| accuracy | 0.0 | (exp.f64 im) | |
| accuracy | 0.0 | (cos.f64 re) | |
| accuracy | 0.00390625 | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 26.0ms | 256× | 0 | valid |
Compiled 35 to 12 computations (65.7% saved)
ival-cos: 6.0ms (36.8% of total)ival-exp: 4.0ms (24.5% of total)ival-mult: 3.0ms (18.4% of total)ival-add: 1.0ms (6.1% of total)ival-neg: 1.0ms (6.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
(cos.f64 re) |
(exp.f64 im) |
(exp.f64 (neg.f64 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 (* (cos re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (cos re)) |
(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))))))) |
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 im) |
(+ 1 (* im (+ 1 (* 1/2 im)))) |
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) |
(+ 1 (* -1 im)) |
(+ 1 (* im (- (* 1/2 im) 1))) |
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) |
(+ (exp im) (exp (neg im))) |
(exp im) |
(exp (neg im)) |
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) |
(+ (exp im) (exp (* -1 im))) |
(exp (* -1 im)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | im | @ | 0 | ((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (* 1/2 (cos re)) (cos re) (exp im) (exp (neg im))) |
| 1.0ms | im | @ | inf | ((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (* 1/2 (cos re)) (cos re) (exp im) (exp (neg im))) |
| 1.0ms | re | @ | inf | ((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (* 1/2 (cos re)) (cos re) (exp im) (exp (neg im))) |
| 1.0ms | im | @ | -inf | ((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (* 1/2 (cos re)) (cos re) (exp im) (exp (neg im))) |
| 1.0ms | re | @ | 0 | ((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (* 1/2 (cos re)) (cos re) (exp im) (exp (neg im))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 119 | 387 |
| 1 | 439 | 355 |
| 2 | 1768 | 346 |
| 3 | 6979 | 346 |
| 0 | 8096 | 312 |
| 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 (* (cos re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (cos re)) |
(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))))))) |
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 im) |
(+ 1 (* im (+ 1 (* 1/2 im)))) |
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) |
(+ 1 (* -1 im)) |
(+ 1 (* im (- (* 1/2 im) 1))) |
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) |
(+ (exp im) (exp (neg im))) |
(exp im) |
(exp (neg im)) |
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) |
(+ (exp im) (exp (* -1 im))) |
(exp (* -1 im)) |
| Outputs |
|---|
(* 1/2 (+ (exp im) (exp (neg im)))) |
(fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) |
(+ (* -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)))))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 re re) (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 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))))))))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 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 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 (pow re 2))) |
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) |
(fma.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/1440 binary64) (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64))) (*.f64 re re) #s(literal 1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow re 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) |
(fma.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64))) (*.f64 re re) #s(literal 1 binary64)) |
(* 1/2 (* (cos re) (+ (exp 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) |
(+ (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))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re)) (*.f64 im im) (cos.f64 re)) |
(+ (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 (pow.f64 im #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 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 im) |
(+.f64 #s(literal 1 binary64) im) |
(+ 1 (* im (+ 1 (* 1/2 im)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64)) |
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64)) |
(+ 1 (* -1 im)) |
(-.f64 #s(literal 1 binary64) im) |
(+ 1 (* im (- (* 1/2 im) 1))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)) im #s(literal 1 binary64)) |
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) im) #s(literal 1 binary64)) im #s(literal 1 binary64)) |
(+ (exp im) (exp (neg im))) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(exp im) |
(exp.f64 im) |
(exp (neg im)) |
(exp.f64 (neg.f64 im)) |
(* 1/2 (* (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)) |
(exp (* -1 im)) |
(exp.f64 (neg.f64 im)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 28 |
| 0 | 17 | 28 |
| 1 | 57 | 24 |
| 2 | 408 | 22 |
| 3 | 4743 | 22 |
| 0 | 8284 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
(cos.f64 re) |
(exp.f64 im) |
(exp.f64 (neg.f64 im)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) im))) (cos.f64 re)) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -4 binary64)) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) im)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) im))) (cos.f64 re)) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -6 binary64)))) (fma.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (pow.f64 (exp.f64 im) #s(literal -4 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) |
(*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (cosh.f64 im)) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) |
(*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))) |
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(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sinh.f64 im))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 1 binary64) (sinh.f64 im))) |
(sqrt.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 im) #s(literal 2 binary64)) (exp.f64 (neg.f64 im))) (/.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (exp.f64 (neg.f64 im)))) |
(-.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im))) |
(fabs.f64 (neg.f64 (exp.f64 im))) |
(fabs.f64 (exp.f64 im)) |
(exp.f64 (fma.f64 im #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) im))) |
(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 (/.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 2 binary64))) |
(exp.f64 im) |
(+.f64 (*.f64 (sinh.f64 im) #s(literal 1 binary64)) (*.f64 (cosh.f64 im) #s(literal 1 binary64))) |
(+.f64 (*.f64 (cosh.f64 im) #s(literal 1 binary64)) (*.f64 (sinh.f64 im) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 im)) (*.f64 #s(literal 1 binary64) (cosh.f64 im))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (*.f64 #s(literal 1 binary64) (sinh.f64 im))) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) im)) (*.f64 (sinh.f64 im) (cosh.f64 im)))) (/.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) im)) (*.f64 (sinh.f64 im) (cosh.f64 im))))) |
(+.f64 (sinh.f64 im) (cosh.f64 im)) |
(+.f64 (cosh.f64 im) (sinh.f64 im)) |
(*.f64 (pow.f64 (pow.f64 (exp.f64 im) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (exp.f64 im) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (sinh.f64 im) (exp.f64 im) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) im)) (*.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) im)) (*.f64 (sinh.f64 im) (cosh.f64 im))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64))) #s(literal -1 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) im)) (*.f64 (sinh.f64 im) (cosh.f64 im)))) |
(*.f64 (pow.f64 (exp.f64 im) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 im) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 im))) |
(*.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (exp.f64 im)) |
(*.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) |
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))) |
(*.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal -3/2 binary64)) (neg.f64 (exp.f64 im))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal -3/2 binary64)) (exp.f64 im)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (exp.f64 im))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(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 (-.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))) (-.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (neg.f64 (-.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) im)) (*.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 im) (exp.f64 im) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (sinh.f64 im) (exp.f64 im) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64))) #s(literal 1 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) im)) (*.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 im) (exp.f64 im) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) im)) (*.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (fabs.f64 (-.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) im)) (*.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im))))) |
(/.f64 (fabs.f64 (-.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (sinh.f64 im) (exp.f64 im) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (fma.f64 (sinh.f64 im) (exp.f64 im) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64))) (fma.f64 (sinh.f64 im) (sinh.f64 im) (-.f64 (pow.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im))))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64))) (-.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) im)) (*.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 im))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 im)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 im)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 im))) |
(fma.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 im)) (*.f64 #s(literal 1 binary64) (cosh.f64 im))) |
(fma.f64 #s(literal 1 binary64) (cosh.f64 im) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 im)))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 im)))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (sinh.f64 (neg.f64 im))) |
(fma.f64 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 1 binary64))) |
(fma.f64 (cosh.f64 im) #s(literal 1 binary64) (*.f64 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 im)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 im)))) |
(sqrt.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64))) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 im) #s(literal 2 binary64)) (exp.f64 im)) (/.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (exp.f64 im))) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (fma.f64 (sinh.f64 im) (exp.f64 im) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (fma.f64 (sinh.f64 im) (exp.f64 im) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))))) |
(-.f64 (cosh.f64 im) (sinh.f64 im)) |
(fabs.f64 (-.f64 (sinh.f64 im) (cosh.f64 im))) |
(fabs.f64 (/.f64 #s(literal -1 binary64) (exp.f64 im))) |
(fabs.f64 (exp.f64 (neg.f64 im))) |
(exp.f64 (fma.f64 #s(literal -2 binary64) im im)) |
(exp.f64 (fma.f64 #s(literal -3 binary64) im (*.f64 #s(literal 2 binary64) im))) |
(exp.f64 (*.f64 (*.f64 im #s(literal -1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (neg.f64 im) #s(literal 1 binary64))) |
(exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) im) #s(literal 2 binary64))) |
(exp.f64 (*.f64 im #s(literal -1 binary64))) |
(exp.f64 (neg.f64 im)) |
(+.f64 (cosh.f64 (*.f64 im #s(literal -1 binary64))) (sinh.f64 (*.f64 im #s(literal -1 binary64)))) |
(+.f64 (*.f64 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64)) (*.f64 (cosh.f64 im) #s(literal 1 binary64))) |
(+.f64 (*.f64 (cosh.f64 im) #s(literal 1 binary64)) (*.f64 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 im))) (*.f64 #s(literal 1 binary64) (cosh.f64 im))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 im)))) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) im)) (*.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im)))) (/.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) im)) (*.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im))))) |
(+.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im)) |
(+.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im))) |
Compiled 9 981 to 1 437 computations (85.6% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 433 | 4 | 437 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 434 | 4 | 438 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 49.6% | (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) im))) (cos.f64 re)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal -1 binary64))) |
| ▶ | 100.0% | (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) |
| ▶ | 75.1% | (*.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)))) |
| ▶ | 50.4% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
Compiled 55 to 49 computations (10.9% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) im))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) im))) (cos.f64 re)) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) im))) (cos.f64 re)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal -1 binary64))) | |
| cost-diff | 4 | (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) im))) (cos.f64 re)) #s(literal 1/2 binary64)) | |
| 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 | 2 | (*.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: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 164 |
| 0 | 50 | 160 |
| 1 | 110 | 156 |
| 2 | 285 | 152 |
| 3 | 944 | 144 |
| 4 | 6119 | 144 |
| 0 | 8543 | 144 |
| 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 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) im))) (cos.f64 re)) #s(literal 1/2 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) (cosh.f64 (*.f64 #s(literal -3 binary64) im))) (cos.f64 re)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) im))) (cos.f64 re)) |
(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) im))) |
#s(literal 2 binary64) |
(cosh.f64 (*.f64 #s(literal -3 binary64) im)) |
(*.f64 #s(literal -3 binary64) im) |
#s(literal -3 binary64) |
im |
(cos.f64 re) |
re |
#s(literal 1/2 binary64) |
(fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal -1 binary64)) |
(cosh.f64 (*.f64 #s(literal -2 binary64) im)) |
(*.f64 #s(literal -2 binary64) im) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
| 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 #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 #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 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) im))) (cos.f64 re)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) (cos.f64 re)) (fma.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) im))) (cos.f64 re)) #s(literal 1/2 binary64)) |
(*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) (cos.f64 re)) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) im))) (cos.f64 re)) |
(*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (cosh.f64 (*.f64 #s(literal 3 binary64) im))) |
(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) im))) |
(*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(cosh.f64 (*.f64 #s(literal -3 binary64) im)) |
(cosh.f64 (*.f64 #s(literal 3 binary64) im)) |
(*.f64 #s(literal -3 binary64) im) |
#s(literal -3 binary64) |
im |
(cos.f64 re) |
re |
#s(literal 1/2 binary64) |
(fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal -1 binary64)) |
(fma.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64) #s(literal -1 binary64)) |
(cosh.f64 (*.f64 #s(literal -2 binary64) im)) |
(cosh.f64 (*.f64 #s(literal 2 binary64) im)) |
(*.f64 #s(literal -2 binary64) im) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (cosh.f64 (*.f64 #s(literal -3 binary64) im)) | |
| accuracy | 0.0 | (cos.f64 re) | |
| accuracy | 0.00390625 | (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) im))) (cos.f64 re)) | |
| accuracy | 0.2539041858302058 | (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) im))) (cos.f64 re)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal -1 binary64))) | |
| accuracy | 0.0 | (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) | |
| accuracy | 0.0 | (*.f64 #s(literal 1 binary64) (cosh.f64 im)) | |
| accuracy | 0.0 | (cos.f64 re) | |
| accuracy | 0.00390625 | (cosh.f64 im) | |
| accuracy | 0.0 | (*.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)))) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) | |
| accuracy | 0.0 | (cos.f64 re) | |
| accuracy | 0.5970031909148188 | #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) | |
| accuracy | 0.0 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) | |
| accuracy | 0.0 | (cos.f64 re) | |
| accuracy | 0.7431914862663085 | #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) |
| 142.0ms | 128× | 5 | exit |
| 33.0ms | 128× | 0 | valid |
Compiled 155 to 32 computations (79.4% saved)
ival-exp: 35.0ms (26% of total)adjust: 26.0ms (19.3% of total)ival-cosh: 23.0ms (17.1% of total)ival-mult: 23.0ms (17.1% of total)ival-cos: 10.0ms (7.4% of total)ival-add: 10.0ms (7.4% of total)ival-div: 5.0ms (3.7% of total)exact: 1.0ms (0.7% of total)ival-neg: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 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 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) im))) (cos.f64 re)) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) im))) (cos.f64 re)) #s(literal 1/2 binary64)) (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))) (cos.f64 re)) |
(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) im))) |
(cosh.f64 (*.f64 #s(literal -3 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 (* -3 im)) (/ 1 (exp (* -3 im))))) |
(+ (* -1/4 (* (pow re 2) (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))))) (* 1/2 (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))))) |
(+ (* 1/2 (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (* (pow re 2) (+ (* -1/4 (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (* 1/48 (* (pow re 2) (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))))))) |
(+ (* 1/2 (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (* (pow re 2) (+ (* -1/4 (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))))) (* 1/48 (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))))))))) |
(* 1/2 (/ (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (- (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))) 1))) |
(+ (* -1/4 (/ (* (pow re 2) (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (- (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))) 1))) (* 1/2 (/ (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (- (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))) 1)))) |
(+ (* 1/2 (/ (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (- (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))) 1))) (* (pow re 2) (+ (* -1/4 (/ (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (- (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))) 1))) (* 1/48 (/ (* (pow re 2) (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (- (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))) 1)))))) |
(+ (* 1/2 (/ (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (- (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))) 1))) (* (pow re 2) (+ (* -1/4 (/ (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (- (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))) 1))) (* (pow re 2) (+ (* -1/1440 (/ (* (pow re 2) (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (- (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))) 1))) (* 1/48 (/ (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (- (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))) 1)))))))) |
(+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))) |
(+ (exp (* -3 im)) (+ (* -1/2 (* (pow re 2) (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))))) (/ 1 (exp (* -3 im))))) |
(+ (exp (* -3 im)) (+ (* (pow re 2) (+ (* -1/2 (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (* 1/24 (* (pow re 2) (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))))))) (/ 1 (exp (* -3 im))))) |
(+ (exp (* -3 im)) (+ (* (pow re 2) (+ (* -1/2 (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))))) (* 1/24 (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))))))) (/ 1 (exp (* -3 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 (* -3 im)) (/ 1 (exp (* -3 im)))))) |
(* 1/2 (/ (* (cos re) (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (- (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))) 1))) |
(* (cos re) (+ (exp (* -3 im)) (/ 1 (exp (* -3 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) (* 9/2 (* (pow im 2) (cos re)))) |
(+ (cos re) (* (pow im 2) (+ (* 27/8 (* (pow im 2) (cos re))) (* 9/2 (cos re))))) |
(+ (cos re) (* (pow im 2) (+ (* 9/2 (cos re)) (* (pow im 2) (+ (* 81/80 (* (pow im 2) (cos re))) (* 27/8 (cos re))))))) |
(+ (cos re) (* (pow im 2) (- (* 9/2 (cos re)) (* 4 (cos re))))) |
(+ (cos re) (* (pow im 2) (- (+ (* 9/2 (cos re)) (* (pow im 2) (- (* 27/8 (cos re)) (+ (* 4/3 (cos re)) (* 4 (- (* 9/2 (cos re)) (* 4 (cos re)))))))) (* 4 (cos re))))) |
(+ (cos re) (* (pow im 2) (- (+ (* 9/2 (cos re)) (* (pow im 2) (- (+ (* 27/8 (cos re)) (* (pow im 2) (- (* 81/80 (cos re)) (+ (* 8/45 (cos re)) (+ (* 4/3 (- (* 9/2 (cos re)) (* 4 (cos re)))) (* 4 (- (* 27/8 (cos re)) (+ (* 4/3 (cos re)) (* 4 (- (* 9/2 (cos re)) (* 4 (cos re)))))))))))) (+ (* 4/3 (cos re)) (* 4 (- (* 9/2 (cos re)) (* 4 (cos re)))))))) (* 4 (cos re))))) |
(* 2 (cos re)) |
(+ (* 2 (cos re)) (* 9 (* (pow im 2) (cos re)))) |
(+ (* 2 (cos re)) (* (pow im 2) (+ (* 27/4 (* (pow im 2) (cos re))) (* 9 (cos re))))) |
(+ (* 2 (cos re)) (* (pow im 2) (+ (* 9 (cos re)) (* (pow im 2) (+ (* 81/40 (* (pow im 2) (cos re))) (* 27/4 (cos re))))))) |
(+ 2 (* 9 (pow im 2))) |
(+ 2 (* (pow im 2) (+ 9 (* 27/4 (pow im 2))))) |
(+ 2 (* (pow im 2) (+ 9 (* (pow im 2) (+ 27/4 (* 81/40 (pow im 2))))))) |
(+ 1 (* 9/2 (pow im 2))) |
(+ 1 (* (pow im 2) (+ 9/2 (* 27/8 (pow im 2))))) |
(+ 1 (* (pow im 2) (+ 9/2 (* (pow im 2) (+ 27/8 (* 81/80 (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 | 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) (* (* (* 2 (cosh (* -3 im))) (cos re)) 1/2) (/ (* (* (* 2 (cosh (* -3 im))) (cos re)) 1/2) (+ (* 2 (cosh (* -2 im))) -1)) (* (* 2 (cosh (* -3 im))) (cos re)) (* 2 (cosh (* -3 im))) (cosh (* -3 im))) |
| 5.0ms | im | @ | 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) (* (* (* 2 (cosh (* -3 im))) (cos re)) 1/2) (/ (* (* (* 2 (cosh (* -3 im))) (cos re)) 1/2) (+ (* 2 (cosh (* -2 im))) -1)) (* (* 2 (cosh (* -3 im))) (cos re)) (* 2 (cosh (* -3 im))) (cosh (* -3 im))) |
| 5.0ms | 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) (* (* (* 2 (cosh (* -3 im))) (cos re)) 1/2) (/ (* (* (* 2 (cosh (* -3 im))) (cos re)) 1/2) (+ (* 2 (cosh (* -2 im))) -1)) (* (* 2 (cosh (* -3 im))) (cos re)) (* 2 (cosh (* -3 im))) (cosh (* -3 im))) |
| 5.0ms | 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) (* (* (* 2 (cosh (* -3 im))) (cos re)) 1/2) (/ (* (* (* 2 (cosh (* -3 im))) (cos re)) 1/2) (+ (* 2 (cosh (* -2 im))) -1)) (* (* 2 (cosh (* -3 im))) (cos re)) (* 2 (cosh (* -3 im))) (cosh (* -3 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) (* (* (* 2 (cosh (* -3 im))) (cos re)) 1/2) (/ (* (* (* 2 (cosh (* -3 im))) (cos re)) 1/2) (+ (* 2 (cosh (* -2 im))) -1)) (* (* 2 (cosh (* -3 im))) (cos re)) (* 2 (cosh (* -3 im))) (cosh (* -3 im))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 283 | 1432 |
| 1 | 1121 | 1147 |
| 2 | 4723 | 1076 |
| 0 | 8948 | 977 |
| 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 (* -3 im)) (/ 1 (exp (* -3 im))))) |
(+ (* -1/4 (* (pow re 2) (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))))) (* 1/2 (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))))) |
(+ (* 1/2 (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (* (pow re 2) (+ (* -1/4 (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (* 1/48 (* (pow re 2) (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))))))) |
(+ (* 1/2 (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (* (pow re 2) (+ (* -1/4 (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))))) (* 1/48 (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))))))))) |
(* 1/2 (/ (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (- (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))) 1))) |
(+ (* -1/4 (/ (* (pow re 2) (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (- (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))) 1))) (* 1/2 (/ (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (- (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))) 1)))) |
(+ (* 1/2 (/ (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (- (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))) 1))) (* (pow re 2) (+ (* -1/4 (/ (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (- (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))) 1))) (* 1/48 (/ (* (pow re 2) (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (- (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))) 1)))))) |
(+ (* 1/2 (/ (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (- (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))) 1))) (* (pow re 2) (+ (* -1/4 (/ (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (- (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))) 1))) (* (pow re 2) (+ (* -1/1440 (/ (* (pow re 2) (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (- (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))) 1))) (* 1/48 (/ (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (- (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))) 1)))))))) |
(+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))) |
(+ (exp (* -3 im)) (+ (* -1/2 (* (pow re 2) (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))))) (/ 1 (exp (* -3 im))))) |
(+ (exp (* -3 im)) (+ (* (pow re 2) (+ (* -1/2 (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (* 1/24 (* (pow re 2) (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))))))) (/ 1 (exp (* -3 im))))) |
(+ (exp (* -3 im)) (+ (* (pow re 2) (+ (* -1/2 (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))))) (* 1/24 (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))))))) (/ 1 (exp (* -3 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 (* -3 im)) (/ 1 (exp (* -3 im)))))) |
(* 1/2 (/ (* (cos re) (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (- (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))) 1))) |
(* (cos re) (+ (exp (* -3 im)) (/ 1 (exp (* -3 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) (* 9/2 (* (pow im 2) (cos re)))) |
(+ (cos re) (* (pow im 2) (+ (* 27/8 (* (pow im 2) (cos re))) (* 9/2 (cos re))))) |
(+ (cos re) (* (pow im 2) (+ (* 9/2 (cos re)) (* (pow im 2) (+ (* 81/80 (* (pow im 2) (cos re))) (* 27/8 (cos re))))))) |
(+ (cos re) (* (pow im 2) (- (* 9/2 (cos re)) (* 4 (cos re))))) |
(+ (cos re) (* (pow im 2) (- (+ (* 9/2 (cos re)) (* (pow im 2) (- (* 27/8 (cos re)) (+ (* 4/3 (cos re)) (* 4 (- (* 9/2 (cos re)) (* 4 (cos re)))))))) (* 4 (cos re))))) |
(+ (cos re) (* (pow im 2) (- (+ (* 9/2 (cos re)) (* (pow im 2) (- (+ (* 27/8 (cos re)) (* (pow im 2) (- (* 81/80 (cos re)) (+ (* 8/45 (cos re)) (+ (* 4/3 (- (* 9/2 (cos re)) (* 4 (cos re)))) (* 4 (- (* 27/8 (cos re)) (+ (* 4/3 (cos re)) (* 4 (- (* 9/2 (cos re)) (* 4 (cos re)))))))))))) (+ (* 4/3 (cos re)) (* 4 (- (* 9/2 (cos re)) (* 4 (cos re)))))))) (* 4 (cos re))))) |
(* 2 (cos re)) |
(+ (* 2 (cos re)) (* 9 (* (pow im 2) (cos re)))) |
(+ (* 2 (cos re)) (* (pow im 2) (+ (* 27/4 (* (pow im 2) (cos re))) (* 9 (cos re))))) |
(+ (* 2 (cos re)) (* (pow im 2) (+ (* 9 (cos re)) (* (pow im 2) (+ (* 81/40 (* (pow im 2) (cos re))) (* 27/4 (cos re))))))) |
(+ 2 (* 9 (pow im 2))) |
(+ 2 (* (pow im 2) (+ 9 (* 27/4 (pow im 2))))) |
(+ 2 (* (pow im 2) (+ 9 (* (pow im 2) (+ 27/4 (* 81/40 (pow im 2))))))) |
(+ 1 (* 9/2 (pow im 2))) |
(+ 1 (* (pow im 2) (+ 9/2 (* 27/8 (pow im 2))))) |
(+ 1 (* (pow im 2) (+ 9/2 (* (pow im 2) (+ 27/8 (* 81/80 (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)))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) |
(+ (* -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)))))))) |
(fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 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))))))))) |
(fma.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)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 (pow re 2))) |
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) |
(fma.f64 (-.f64 (*.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)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow re 2))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) |
(+ (* -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)))))))) |
(fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 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))))))))) |
(fma.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)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))))) |
(* 1/2 (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))) |
(*.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) #s(literal 1/2 binary64)) |
(+ (* -1/4 (* (pow re 2) (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))))) (* 1/2 (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))))) |
(*.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (* (pow re 2) (+ (* -1/4 (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (* 1/48 (* (pow re 2) (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))))))) |
(fma.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (fma.f64 #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 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (* (pow re 2) (+ (* -1/4 (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))))) (* 1/48 (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))))))))) |
(fma.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))))) |
(* 1/2 (/ (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (- (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))) 1))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (expm1.f64 (*.f64 #s(literal -2 binary64) im)))) |
(+ (* -1/4 (/ (* (pow re 2) (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (- (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))) 1))) (* 1/2 (/ (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (- (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))) 1)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (fma.f64 (exp.f64 im) (exp.f64 im) (expm1.f64 (*.f64 #s(literal -2 binary64) im)))) |
(+ (* 1/2 (/ (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (- (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))) 1))) (* (pow re 2) (+ (* -1/4 (/ (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (- (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))) 1))) (* 1/48 (/ (* (pow re 2) (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (- (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))) 1)))))) |
(/.f64 (fma.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (fma.f64 #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 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) #s(literal 1/2 binary64))) (fma.f64 (exp.f64 im) (exp.f64 im) (expm1.f64 (*.f64 #s(literal -2 binary64) im)))) |
(+ (* 1/2 (/ (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (- (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))) 1))) (* (pow re 2) (+ (* -1/4 (/ (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (- (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))) 1))) (* (pow re 2) (+ (* -1/1440 (/ (* (pow re 2) (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (- (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))) 1))) (* 1/48 (/ (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (- (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))) 1)))))))) |
(fma.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (fma.f64 (exp.f64 im) (exp.f64 im) (expm1.f64 (*.f64 #s(literal -2 binary64) im)))) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))) (fma.f64 (exp.f64 im) (exp.f64 im) (expm1.f64 (*.f64 #s(literal -2 binary64) im)))))) |
(+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))) |
(+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) |
(+ (exp (* -3 im)) (+ (* -1/2 (* (pow re 2) (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))))) (/ 1 (exp (* -3 im))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) |
(+ (exp (* -3 im)) (+ (* (pow re 2) (+ (* -1/2 (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (* 1/24 (* (pow re 2) (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))))))) (/ 1 (exp (* -3 im))))) |
(fma.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64))) (*.f64 re re) (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) |
(+ (exp (* -3 im)) (+ (* (pow re 2) (+ (* -1/2 (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (+ (exp (* -3 im)) (/ 1 (exp (* -3 im)))))) (* 1/24 (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))))))) (/ 1 (exp (* -3 im))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (*.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 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 (* -3 im)) (/ 1 (exp (* -3 im)))))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) |
(* 1/2 (/ (* (cos re) (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (- (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))) 1))) |
(/.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) (fma.f64 (exp.f64 im) (exp.f64 im) (expm1.f64 (*.f64 #s(literal -2 binary64) im)))) |
(* (cos re) (+ (exp (* -3 im)) (/ 1 (exp (* -3 im))))) |
(*.f64 (cos.f64 re) (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 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 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 (*.f64 im im) #s(literal 1/2 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))))))) |
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))))) |
2 |
#s(literal 2 binary64) |
(+ 2 (pow im 2)) |
(fma.f64 im im #s(literal 2 binary64)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(fma.f64 im im (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
(fma.f64 im im (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) #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) (* 9/2 (* (pow im 2) (cos re)))) |
(*.f64 (fma.f64 #s(literal 9/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (cos.f64 re)) |
(+ (cos re) (* (pow im 2) (+ (* 27/8 (* (pow im 2) (cos re))) (* 9/2 (cos re))))) |
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 27/8 binary64) (fma.f64 #s(literal 9/2 binary64) (*.f64 im im) #s(literal 1 binary64)))) |
(+ (cos re) (* (pow im 2) (+ (* 9/2 (cos re)) (* (pow im 2) (+ (* 81/80 (* (pow im 2) (cos re))) (* 27/8 (cos re))))))) |
(fma.f64 (fma.f64 #s(literal 9/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal 81/80 binary64) (*.f64 im im) #s(literal 27/8 binary64))))) |
(+ (cos re) (* (pow im 2) (- (* 9/2 (cos re)) (* 4 (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) (- (+ (* 9/2 (cos re)) (* (pow im 2) (- (* 27/8 (cos re)) (+ (* 4/3 (cos re)) (* 4 (- (* 9/2 (cos re)) (* 4 (cos re)))))))) (* 4 (cos re))))) |
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(+ (cos re) (* (pow im 2) (- (+ (* 9/2 (cos re)) (* (pow im 2) (- (+ (* 27/8 (cos re)) (* (pow im 2) (- (* 81/80 (cos re)) (+ (* 8/45 (cos re)) (+ (* 4/3 (- (* 9/2 (cos re)) (* 4 (cos re)))) (* 4 (- (* 27/8 (cos re)) (+ (* 4/3 (cos re)) (* 4 (- (* 9/2 (cos re)) (* 4 (cos re)))))))))))) (+ (* 4/3 (cos re)) (* 4 (- (* 9/2 (cos re)) (* 4 (cos re)))))))) (* 4 (cos re))))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (cos.f64 re) #s(literal 121/720 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (cos.f64 re) #s(literal 1/24 binary64)))) (*.f64 im im) (*.f64 (cos.f64 re) #s(literal 1/24 binary64))) (*.f64 im im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 im im) (cos.f64 re)) |
(* 2 (cos re)) |
(*.f64 (cos.f64 re) #s(literal 2 binary64)) |
(+ (* 2 (cos re)) (* 9 (* (pow im 2) (cos re)))) |
(*.f64 (cos.f64 re) (fma.f64 #s(literal 9 binary64) (*.f64 im im) #s(literal 2 binary64))) |
(+ (* 2 (cos re)) (* (pow im 2) (+ (* 27/4 (* (pow im 2) (cos re))) (* 9 (cos re))))) |
(fma.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 27/4 binary64) (*.f64 im im) #s(literal 9 binary64))) (*.f64 im im) (*.f64 (cos.f64 re) #s(literal 2 binary64))) |
(+ (* 2 (cos re)) (* (pow im 2) (+ (* 9 (cos re)) (* (pow im 2) (+ (* 81/40 (* (pow im 2) (cos re))) (* 27/4 (cos re))))))) |
(fma.f64 (cos.f64 re) (fma.f64 #s(literal 9 binary64) (*.f64 im im) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal 81/40 binary64) (*.f64 im im) #s(literal 27/4 binary64))))) |
(+ 2 (* 9 (pow im 2))) |
(fma.f64 #s(literal 9 binary64) (*.f64 im im) #s(literal 2 binary64)) |
(+ 2 (* (pow im 2) (+ 9 (* 27/4 (pow im 2))))) |
(fma.f64 (fma.f64 #s(literal 27/4 binary64) (*.f64 im im) #s(literal 9 binary64)) (*.f64 im im) #s(literal 2 binary64)) |
(+ 2 (* (pow im 2) (+ 9 (* (pow im 2) (+ 27/4 (* 81/40 (pow im 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 81/40 binary64) (*.f64 im im) #s(literal 27/4 binary64)) (*.f64 im im) #s(literal 9 binary64)) (*.f64 im im) #s(literal 2 binary64)) |
(+ 1 (* 9/2 (pow im 2))) |
(fma.f64 #s(literal 9/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (+ 9/2 (* 27/8 (pow im 2))))) |
(fma.f64 (fma.f64 #s(literal 27/8 binary64) (*.f64 im im) #s(literal 9/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (+ 9/2 (* (pow im 2) (+ 27/8 (* 81/80 (pow im 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 81/80 binary64) (*.f64 im im) #s(literal 27/8 binary64)) (*.f64 im im) #s(literal 9/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(+ (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 | 31 | 116 |
| 0 | 50 | 112 |
| 1 | 156 | 100 |
| 0 | 985 | 100 |
| 1× | iter limit |
| 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 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) im))) (cos.f64 re)) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) im))) (cos.f64 re)) #s(literal 1/2 binary64)) (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))) (cos.f64 re)) |
(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) im))) |
(cosh.f64 (*.f64 #s(literal -3 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 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) (*.f64 (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 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) (cos.f64 re))) |
(*.f64 (cos.f64 re) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
(fma.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) re)) |
(cos.f64 (neg.f64 (neg.f64 re))) |
(cos.f64 (neg.f64 re)) |
(cos.f64 re) |
(+.f64 (*.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
#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 #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 (*.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 (cos.f64 re) (*.f64 #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) (*.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 (cosh.f64 im) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cosh.f64 im)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -2 binary64)) |
(/.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 (neg.f64 im)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 2 binary64))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (*.f64 (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) |
(cosh.f64 (neg.f64 (neg.f64 im))) |
(cosh.f64 (neg.f64 im)) |
(cosh.f64 im) |
(+.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64))) |
(+.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (cosh.f64 im)) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1 binary64)) (cosh.f64 im)) |
(*.f64 (*.f64 (cosh.f64 im) (cos.f64 re)) #s(literal 1 binary64)) |
(*.f64 (cosh.f64 im) (*.f64 #s(literal 1 binary64) (cos.f64 re))) |
(*.f64 (cosh.f64 im) (cos.f64 re)) |
(*.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) (cos.f64 re))) |
(*.f64 (cos.f64 re) (cosh.f64 im)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (cos.f64 re)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64)) |
(*.f64 (cosh.f64 im) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cosh.f64 im)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -2 binary64)) |
(/.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 (neg.f64 im)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 2 binary64))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (*.f64 (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) |
(cosh.f64 (neg.f64 (neg.f64 im))) |
(cosh.f64 (neg.f64 im)) |
(cosh.f64 im) |
(+.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64))) |
(+.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) #s(literal 2 binary64))) (cos.f64 re)) |
(*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) (cosh.f64 (*.f64 #s(literal 3 binary64) im))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) |
(*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) (cos.f64 re))) |
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) (cos.f64 re)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) #s(literal 2 binary64))) |
(*.f64 (cos.f64 re) (*.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) (cosh.f64 (*.f64 #s(literal 3 binary64) im)))) |
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) (cos.f64 re))) (-.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) (cos.f64 re))) (fma.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -2 binary64))) (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) (cosh.f64 (*.f64 #s(literal 3 binary64) im)))) |
(*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) (cosh.f64 (*.f64 #s(literal 3 binary64) im))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) #s(literal 2 binary64)) (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (fma.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) #s(literal 2 binary64)) (*.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (fma.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64) #s(literal -1 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) (cos.f64 re)) (/.f64 #s(literal 1/2 binary64) (fma.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64) #s(literal -1 binary64))))) |
(*.f64 (cos.f64 re) (*.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64) #s(literal -1 binary64))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) (cosh.f64 (*.f64 #s(literal 3 binary64) im))) (fma.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) (cos.f64 re))))) (neg.f64 (neg.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) (cos.f64 re)))) (neg.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64) #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) (cos.f64 re))) (fma.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) (cos.f64 re)))) (fma.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) (cos.f64 re))) (neg.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64) #s(literal -1 binary64))))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) (cosh.f64 (*.f64 #s(literal 3 binary64) im))) |
(*.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) (cos.f64 re)) #s(literal 2 binary64)) |
(*.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) #s(literal 2 binary64)) (cos.f64 re)) |
(*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) (*.f64 #s(literal 2 binary64) (cos.f64 re))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) (cos.f64 re))) |
(*.f64 (cos.f64 re) (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) #s(literal 2 binary64))) |
(fma.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (cos.f64 re) (*.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (cos.f64 re))) |
(fma.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) (cos.f64 re) (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) (cos.f64 re))) |
(fma.f64 (cos.f64 re) (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (*.f64 (cos.f64 re) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) |
(fma.f64 (cos.f64 re) (cosh.f64 (*.f64 #s(literal 3 binary64) im)) (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) (cos.f64 re))) |
(+.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (cos.f64 re)) (*.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (cos.f64 re))) |
(+.f64 (*.f64 (cos.f64 re) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (*.f64 (cos.f64 re) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) |
(+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) (cos.f64 re)) (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) (cos.f64 re))) |
(*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (fma.f64 #s(literal 3 binary64) im (*.f64 #s(literal 3 binary64) im)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) im) (*.f64 #s(literal 3 binary64) im)) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (fma.f64 #s(literal 3 binary64) im (*.f64 #s(literal -3 binary64) im)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) im) (*.f64 #s(literal -3 binary64) im)) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (fma.f64 #s(literal -3 binary64) im (*.f64 #s(literal 3 binary64) im)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (*.f64 #s(literal -3 binary64) im) (*.f64 #s(literal 3 binary64) im)) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (fma.f64 #s(literal -3 binary64) im (*.f64 #s(literal -3 binary64) im)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (*.f64 #s(literal -3 binary64) im) (*.f64 #s(literal -3 binary64) im)) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) im))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (*.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (-.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (*.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) (cosh.f64 (*.f64 #s(literal 3 binary64) im))) (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) (cosh.f64 (*.f64 #s(literal 3 binary64) im)))) (-.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) (cosh.f64 (*.f64 #s(literal 3 binary64) im)))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) (cosh.f64 (*.f64 #s(literal 3 binary64) im)) (-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) (cosh.f64 (*.f64 #s(literal 3 binary64) im))) (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) (cosh.f64 (*.f64 #s(literal 3 binary64) im)))))) |
(/.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) #s(literal 2 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) #s(literal 2 binary64)))) #s(literal 4 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(fma.f64 (pow.f64 (exp.f64 im) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 im) #s(literal 3/2 binary64)) (exp.f64 (neg.f64 (*.f64 #s(literal 3 binary64) im)))) |
(fma.f64 (pow.f64 (exp.f64 im) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 im) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) |
(fma.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (exp.f64 im) (exp.f64 (neg.f64 (*.f64 #s(literal 3 binary64) im)))) |
(fma.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) |
(fma.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) #s(literal 1 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) im))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) #s(literal 2 binary64)) (cosh.f64 (*.f64 #s(literal 3 binary64) im))) |
(fma.f64 (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (exp.f64 (neg.f64 (*.f64 #s(literal 3 binary64) im)))) |
(fma.f64 (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) |
(+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (exp.f64 (neg.f64 (*.f64 #s(literal 3 binary64) im)))) |
(+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) |
(+.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) |
(+.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) (cosh.f64 (*.f64 #s(literal 3 binary64) im))) |
(*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) #s(literal 2 binary64))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(cosh.f64 (neg.f64 (*.f64 #s(literal 3 binary64) im))) |
(cosh.f64 (*.f64 #s(literal 3 binary64) im)) |
(cosh.f64 (*.f64 #s(literal -3 binary64) im)) |
(+.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 2 binary64))) |
(+.f64 (/.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) #s(literal 2 binary64)) (/.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) im)) #s(literal 2 binary64))) |
Compiled 5 155 to 786 computations (84.8% saved)
16 alts after pruning (14 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 208 | 14 | 222 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 0 | 0 |
| Total | 210 | 16 | 226 |
| Status | Accuracy | Program |
|---|---|---|
| 26.6% | (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) im))) #s(approx (cos re) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal -1 binary64))) | |
| ▶ | 61.1% | (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
| 64.9% | (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) | |
| ✓ | 75.1% | (*.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)))) |
| ✓ | 50.4% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
| ▶ | 100.0% | (*.f64 (cosh.f64 im) (cos.f64 re)) |
| 91.4% | (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) | |
| 87.3% | (*.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)) | |
| 48.7% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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)) (fma.f64 im im #s(literal 2 binary64)))) | |
| ▶ | 35.0% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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))) |
| 50.8% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| 36.8% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) | |
| ▶ | 47.9% | (*.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)))) |
| 32.0% | (*.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)) #s(literal 2 binary64))) | |
| 46.5% | (*.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)))) | |
| ▶ | 27.3% | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
Compiled 605 to 475 computations (21.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) | |
| cost-diff | 2 | (*.f64 #s(literal 1 binary64) (cosh.f64 im)) | |
| cost-diff | 0 | (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) | |
| cost-diff | 0 | (fma.f64 (-.f64 (*.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)) | |
| cost-diff | 0 | #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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))) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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))) | |
| 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 | (cosh.f64 im) | |
| cost-diff | 0 | (*.f64 (cosh.f64 im) (cos.f64 re)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 270 |
| 0 | 64 | 266 |
| 1 | 119 | 266 |
| 2 | 289 | 266 |
| 3 | 975 | 254 |
| 4 | 4087 | 254 |
| 0 | 8226 | 254 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (cosh.f64 im) (cos.f64 re)) |
(cosh.f64 im) |
im |
(cos.f64 re) |
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(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 (-.f64 (*.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))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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))) |
(fma.f64 (-.f64 (*.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)) |
(-.f64 (*.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 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) |
(*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) |
(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 (*.f64 #s(literal -1/2 binary64) 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 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) re) |
#s(literal -1/2 binary64) |
re |
| Outputs |
|---|
(*.f64 (cosh.f64 im) (cos.f64 re)) |
(*.f64 (cos.f64 re) (cosh.f64 im)) |
(cosh.f64 im) |
im |
(cos.f64 re) |
re |
(*.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 (-.f64 (*.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))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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))) |
(fma.f64 (-.f64 (*.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)) |
(-.f64 (*.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 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) |
(*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) |
(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 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) re) |
#s(literal -1/2 binary64) |
re |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 #s(literal 1 binary64) (cosh.f64 im)) | |
| accuracy | 0.0 | (*.f64 #s(literal -1/2 binary64) re) | |
| accuracy | 0.00390625 | (cosh.f64 im) | |
| accuracy | 32.385694131228604 | #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))) | |
| accuracy | 0.1796875 | (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) | |
| accuracy | 0.3036527936545421 | (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) | |
| accuracy | 31.742486701139033 | #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) | |
| accuracy | 32.25157398806962 | #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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))) | |
| accuracy | 0.0 | (*.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)))) | |
| accuracy | 0.0 | (*.f64 re re) | |
| accuracy | 15.932655988749119 | #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) | |
| accuracy | 32.38567740346803 | #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) | |
| accuracy | 0.0 | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) | |
| accuracy | 30.004479633916514 | #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) | |
| accuracy | 31.742486701139033 | #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) | |
| accuracy | 0.0 | (*.f64 (cosh.f64 im) (cos.f64 re)) | |
| accuracy | 0.0 | (cos.f64 re) | |
| accuracy | 0.00390625 | (cosh.f64 im) |
| 139.0ms | 256× | 0 | valid |
Compiled 195 to 38 computations (80.5% saved)
ival-mult: 30.0ms (37.3% of total)ival-cos: 21.0ms (26.1% of total)const: 12.0ms (14.9% of total)ival-add: 7.0ms (8.7% of total)ival-exp: 4.0ms (5% of total)ival-cosh: 3.0ms (3.7% of total)ival-sub: 1.0ms (1.2% of total)exact: 1.0ms (1.2% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (cosh.f64 im) (cos.f64 re)) |
(cosh.f64 im) |
(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 (-.f64 (*.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))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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))) |
(fma.f64 (-.f64 (*.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)) |
(-.f64 (*.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 #s(literal 1 binary64) (cosh.f64 im)) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
#s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 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)) |
(*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) |
(*.f64 #s(literal -1/2 binary64) 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 |
(+ 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 |
(+ 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) |
1/48 |
(+ 1/48 (* -1/1440 (pow re 2))) |
(* 1/48 re) |
(* re (+ 1/48 (* -1/1440 (pow re 2)))) |
(* -1/2 re) |
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) |
(cos re) |
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) |
(* 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))))) |
(* -1/1440 (pow re 2)) |
(* (pow re 2) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(* -1/1440 (pow re 3)) |
(* (pow re 3) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(* -1 (* (pow re 3) (- 1/1440 (* 1/48 (/ 1 (pow re 2)))))) |
(+ (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 (* 1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) |
2 |
(+ 2 (pow im 2)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
(+ (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 | |
|---|---|---|---|---|
| 42.0ms | re | @ | 0 | ((* (cosh im) (cos re)) (cosh im) (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)) (cos re) (+ (exp (neg im)) (exp im)) (+ (* -1/1440 (* re re)) 1/48) (* (+ (* -1/1440 (* re re)) 1/48) re) (* -1/2 re)) |
| 3.0ms | re | @ | inf | ((* (cosh im) (cos re)) (cosh im) (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)) (cos re) (+ (exp (neg im)) (exp im)) (+ (* -1/1440 (* re re)) 1/48) (* (+ (* -1/1440 (* re re)) 1/48) re) (* -1/2 re)) |
| 3.0ms | re | @ | -inf | ((* (cosh im) (cos re)) (cosh im) (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)) (cos re) (+ (exp (neg im)) (exp im)) (+ (* -1/1440 (* re re)) 1/48) (* (+ (* -1/1440 (* re re)) 1/48) re) (* -1/2 re)) |
| 1.0ms | im | @ | inf | ((* (cosh im) (cos re)) (cosh im) (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)) (cos re) (+ (exp (neg im)) (exp im)) (+ (* -1/1440 (* re re)) 1/48) (* (+ (* -1/1440 (* re re)) 1/48) re) (* -1/2 re)) |
| 1.0ms | im | @ | -inf | ((* (cosh im) (cos re)) (cosh im) (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)) (cos re) (+ (exp (neg im)) (exp im)) (+ (* -1/1440 (* re re)) 1/48) (* (+ (* -1/1440 (* re re)) 1/48) re) (* -1/2 re)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 164 | 684 |
| 1 | 580 | 629 |
| 2 | 1951 | 615 |
| 3 | 7429 | 615 |
| 0 | 8023 | 574 |
| 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 |
(+ 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 |
(+ 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) |
1/48 |
(+ 1/48 (* -1/1440 (pow re 2))) |
(* 1/48 re) |
(* re (+ 1/48 (* -1/1440 (pow re 2)))) |
(* -1/2 re) |
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) |
(cos re) |
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) |
(* 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))))) |
(* -1/1440 (pow re 2)) |
(* (pow re 2) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(* -1/1440 (pow re 3)) |
(* (pow re 3) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(* -1 (* (pow re 3) (- 1/1440 (* 1/48 (/ 1 (pow re 2)))))) |
(+ (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 (* 1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) |
2 |
(+ 2 (pow im 2)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
(+ (exp im) (exp (neg im))) |
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) |
(+ (exp im) (exp (* -1 im))) |
| Outputs |
|---|
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) |
(+ (* -1/4 (* (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)))))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) re) re #s(literal -1/4 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 re re) (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 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))))))))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 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 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow re 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (*.f64 re re) #s(literal 1 binary64)) |
(* 1/2 (+ (exp im) (exp (neg im)))) |
(fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) |
(+ (* -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)))))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) re) re #s(literal -1/4 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 re re) (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 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))))))))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 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 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 (pow re 2))) |
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) |
(fma.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/1440 binary64) (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64))) (*.f64 re re) #s(literal 1/2 binary64)) |
(pow re 2) |
(*.f64 re re) |
-1/4 |
#s(literal -1/4 binary64) |
(- (* 1/48 (pow re 2)) 1/4) |
(-.f64 (*.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 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/1440 binary64) (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64))) |
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)) |
(* 1/48 re) |
(*.f64 #s(literal 1/48 binary64) re) |
(* re (+ 1/48 (* -1/1440 (pow re 2)))) |
(*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) |
(* -1/2 re) |
(*.f64 #s(literal -1/2 binary64) re) |
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) |
(*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re)) |
(cos re) |
(cos.f64 re) |
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) |
(*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re)) |
(* 1/2 (cos re)) |
(*.f64 (cos.f64 re) #s(literal 1/2 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)) |
(*.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 (/.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 (/.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 (/.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))) |
(* -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) |
(* -1/1440 (pow re 3)) |
(*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/1440 binary64)) |
(* (pow re 3) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(*.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/1440 binary64))) |
(* -1 (* (pow re 3) (- 1/1440 (* 1/48 (/ 1 (pow re 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) (*.f64 re re)) #s(literal -1 binary64) #s(literal -1/1440 binary64)) (pow.f64 re #s(literal 3 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 (pow.f64 im #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re))) |
(+ 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)) |
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))) |
(+ (exp im) (exp (neg im))) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) |
(*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (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 | 40 | 218 |
| 0 | 64 | 214 |
| 1 | 212 | 204 |
| 0 | 1338 | 204 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (cosh.f64 im) (cos.f64 re)) |
(cosh.f64 im) |
(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 (-.f64 (*.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))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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))) |
(fma.f64 (-.f64 (*.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)) |
(-.f64 (*.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 #s(literal 1 binary64) (cosh.f64 im)) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
#s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 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)) |
(*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) |
(*.f64 #s(literal -1/2 binary64) re) |
| Outputs |
|---|
(*.f64 (*.f64 (cos.f64 re) #s(literal 1 binary64)) (cosh.f64 im)) |
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) (cosh.f64 im))) |
(*.f64 (*.f64 (cos.f64 re) (cosh.f64 im)) #s(literal 1 binary64)) |
(*.f64 (cos.f64 re) (cosh.f64 im)) |
(*.f64 (cosh.f64 im) (*.f64 #s(literal 1 binary64) (cos.f64 re))) |
(*.f64 (cosh.f64 im) (cos.f64 re)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (cos.f64 re)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (cosh.f64 im)) |
(*.f64 (cosh.f64 im) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -2 binary64)) |
(/.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 (neg.f64 im)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 2 binary64))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64)))) (*.f64 (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) |
(cosh.f64 (neg.f64 (neg.f64 im))) |
(cosh.f64 (neg.f64 im)) |
(cosh.f64 im) |
(+.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64))) |
(+.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64))) |
(fma.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) re)) |
(cos.f64 (neg.f64 (neg.f64 re))) |
(cos.f64 (neg.f64 re)) |
(cos.f64 re) |
(+.f64 (*.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #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))) |
(*.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 (+ (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)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (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)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 re re)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 re re)) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (*.f64 re re) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 re re) #s(literal -1/8 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 re re)) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (*.f64 re re) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 re re)) #s(literal 2 binary64)) (*.f64 (*.f64 re re) #s(literal -1/8 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (*.f64 re re) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 re re) #s(literal -1/8 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) (fabs.f64 re)) (fabs.f64 re) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) (neg.f64 re)) (neg.f64 re) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) re) re #s(literal 1/2 binary64)) |
(fma.f64 (fabs.f64 re) (*.f64 (fabs.f64 re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (neg.f64 re) (*.f64 (neg.f64 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)) |
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(fma.f64 re (*.f64 #s(literal -1/4 binary64) re) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 re re)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 re re)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 re re)) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 re re))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 re re)) #s(literal -1/4 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 re) (*.f64 #s(literal -1/4 binary64) re))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 re re)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 re re) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 re re) #s(literal -1/8 binary64))))) |
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 re re))) |
(*.f64 (pow.f64 re #s(literal 1 binary64)) (pow.f64 re #s(literal 1 binary64))) |
(*.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re))) |
(*.f64 (fabs.f64 (fabs.f64 re)) (fabs.f64 (fabs.f64 re))) |
(*.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 re))) |
(*.f64 (fabs.f64 re) (fabs.f64 re)) |
(*.f64 (neg.f64 re) (neg.f64 re)) |
(*.f64 re re) |
(pow.f64 (fabs.f64 re) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 re) #s(literal 2 binary64)) |
(pow.f64 re #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 re) re)) |
(neg.f64 (*.f64 re (neg.f64 re))) |
(fabs.f64 (*.f64 re re)) |
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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 (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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 (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) re) re) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) re) re))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) re) re) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) re) re) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) re) (*.f64 re #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) re) re) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) re) re) #s(literal 1/2 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) re) re) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) re) re) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) re) (*.f64 re #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) re) re) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) re) (*.f64 re #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) re) re) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (fabs.f64 re)) (fabs.f64 re) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (neg.f64 re)) (neg.f64 re) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) re) re #s(literal 1/2 binary64)) |
(fma.f64 (fabs.f64 re) (*.f64 (fabs.f64 re) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 (neg.f64 re) (*.f64 (neg.f64 re) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 (*.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)) |
(fma.f64 (*.f64 re re) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 re (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) re) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) re) re) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) re) re) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) re) re) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) re)) re)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (-.f64 (*.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))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 re re)) (-.f64 (*.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 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) re) re) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) re) (*.f64 re #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) re) re) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (+.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) re) (*.f64 re #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) re) re) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) re) re) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) re) re)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 2 binary64)) #s(literal 1/16 binary64))) (neg.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 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 3 binary64)) #s(literal 1/64 binary64))) (neg.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (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 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 3 binary64)) #s(literal 1/64 binary64)) (+.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 2 binary64)) (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 #s(literal 1/16 binary64) (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 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 2 binary64)))) (/.f64 #s(literal 1/64 binary64) (+.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 2 binary64))))) |
(-.f64 (*.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 #s(literal 1 binary64) (cosh.f64 im)) |
(*.f64 (cosh.f64 im) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -2 binary64)) |
(/.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 (neg.f64 im)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 2 binary64))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64)))) (*.f64 (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) |
(cosh.f64 (neg.f64 (neg.f64 im))) |
(cosh.f64 (neg.f64 im)) |
(cosh.f64 im) |
(+.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64))) |
(+.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))) #s(literal 1 binary64)) (cosh.f64 im)) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) (cosh.f64 im)) |
(*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))) (cosh.f64 im)) #s(literal 1 binary64)) |
(*.f64 #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))) (cosh.f64 im)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))) (cosh.f64 im))) |
(*.f64 (cosh.f64 im) (*.f64 #s(literal 1 binary64) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))))) |
(*.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64)) |
#s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))) |
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1/2304 binary64) (pow.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) #s(literal 2 binary64))) (-.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) #s(literal 2 binary64)) #s(literal 1/2304 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) #s(literal 1/48 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2985984000 binary64) (pow.f64 (*.f64 re re) #s(literal 3 binary64)) #s(literal 1/110592 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) #s(literal 2 binary64)) #s(literal 1/2304 binary64)) (*.f64 (*.f64 re re) #s(literal -1/69120 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) #s(literal 2 binary64)) #s(literal 1/2304 binary64)) (-.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) #s(literal 1/48 binary64))) |
(/.f64 (fma.f64 #s(literal -1/2985984000 binary64) (pow.f64 (*.f64 re re) #s(literal 3 binary64)) #s(literal 1/110592 binary64)) (+.f64 #s(literal 1/2304 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) #s(literal 2 binary64)) (*.f64 (*.f64 re re) #s(literal -1/69120 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/2985984000 binary64) (pow.f64 (*.f64 re re) #s(literal 3 binary64)) #s(literal 1/110592 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) #s(literal 2 binary64)) #s(literal 1/2304 binary64)) (*.f64 (*.f64 re re) #s(literal -1/69120 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/1440 binary64) (fabs.f64 re)) (fabs.f64 re) #s(literal 1/48 binary64)) |
(fma.f64 (*.f64 #s(literal -1/1440 binary64) (neg.f64 re)) (neg.f64 re) #s(literal 1/48 binary64)) |
(fma.f64 (*.f64 #s(literal -1/1440 binary64) re) re #s(literal 1/48 binary64)) |
(fma.f64 (fabs.f64 re) (*.f64 (fabs.f64 re) #s(literal -1/1440 binary64)) #s(literal 1/48 binary64)) |
(fma.f64 (neg.f64 re) (*.f64 (neg.f64 re) #s(literal -1/1440 binary64)) #s(literal 1/48 binary64)) |
(fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) |
(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 (pow.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) #s(literal 1/48 binary64))) (/.f64 #s(literal 1/2304 binary64) (-.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) #s(literal 1/48 binary64)))) |
(-.f64 #s(literal 1/48 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/1440 binary64) re)) re)) |
(-.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/1440 binary64) (*.f64 re re))) |
(-.f64 #s(literal 1/48 binary64) (*.f64 (neg.f64 (*.f64 re re)) #s(literal -1/1440 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) #s(literal 2 binary64)) #s(literal 1/2304 binary64)) (*.f64 (*.f64 re re) #s(literal -1/69120 binary64)))) (/.f64 #s(literal 1/110592 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) #s(literal 2 binary64)) #s(literal 1/2304 binary64)) (*.f64 (*.f64 re re) #s(literal -1/69120 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))) |
(*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) |
(*.f64 re (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) #s(literal 2 binary64)) #s(literal 1/2304 binary64)) re) (-.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) #s(literal 1/48 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/2985984000 binary64) (pow.f64 (*.f64 re re) #s(literal 3 binary64)) #s(literal 1/110592 binary64)) re) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) #s(literal 2 binary64)) #s(literal 1/2304 binary64)) (*.f64 (*.f64 re re) #s(literal -1/69120 binary64)))) |
(/.f64 (*.f64 re (-.f64 (pow.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) #s(literal 2 binary64)) #s(literal 1/2304 binary64))) (-.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) #s(literal 1/48 binary64))) |
(/.f64 (*.f64 re (fma.f64 #s(literal -1/2985984000 binary64) (pow.f64 (*.f64 re re) #s(literal 3 binary64)) #s(literal 1/110592 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) #s(literal 2 binary64)) #s(literal 1/2304 binary64)) (*.f64 (*.f64 re re) #s(literal -1/69120 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) re (*.f64 #s(literal 1/48 binary64) re)) |
(fma.f64 #s(literal 1/48 binary64) re (*.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) re)) |
(fma.f64 re (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) (*.f64 re #s(literal 1/48 binary64))) |
(fma.f64 re #s(literal 1/48 binary64) (*.f64 re (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)))) |
(+.f64 (*.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) re) (*.f64 #s(literal 1/48 binary64) re)) |
(+.f64 (*.f64 #s(literal 1/48 binary64) re) (*.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) re)) |
(+.f64 (*.f64 re (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re #s(literal 1/48 binary64))) |
(+.f64 (*.f64 re #s(literal 1/48 binary64)) (*.f64 re (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)))) |
(*.f64 #s(literal -1/2 binary64) re) |
(*.f64 re #s(literal -1/2 binary64)) |
Compiled 7 461 to 1 121 computations (85% saved)
20 alts after pruning (15 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 245 | 8 | 253 |
| Fresh | 2 | 7 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 249 | 20 | 269 |
| Status | Accuracy | Program |
|---|---|---|
| 26.6% | (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) im))) #s(approx (cos re) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal -1 binary64))) | |
| ▶ | 57.1% | (*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
| 54.1% | (*.f64 (*.f64 #s(literal 1 binary64) #s(approx (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)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) | |
| ✓ | 75.1% | (*.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)))) |
| ✓ | 50.4% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
| ✓ | 100.0% | (*.f64 (cosh.f64 im) (cos.f64 re)) |
| 61.1% | (*.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) | |
| 64.9% | (*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))) | |
| ▶ | 91.4% | (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
| 87.3% | (*.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)) | |
| 48.7% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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)) (fma.f64 im im #s(literal 2 binary64)))) | |
| ✓ | 35.0% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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))) |
| 34.8% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) 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))) | |
| ▶ | 36.8% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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))) |
| 50.8% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| 32.0% | (*.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)) #s(literal 2 binary64))) | |
| ▶ | 41.2% | (*.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)))) |
| 12.1% | (*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| ▶ | 46.5% | (*.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)))) |
| ✓ | 27.3% | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
Compiled 838 to 631 computations (24.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) | |
| cost-diff | 2 | (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re) | |
| cost-diff | 0 | #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 | #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 | 0 | (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) | |
| cost-diff | 0 | (fma.f64 (-.f64 (*.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)) | |
| cost-diff | 0 | #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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))) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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))) | |
| 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 | 58 | 540 |
| 0 | 88 | 532 |
| 1 | 165 | 532 |
| 2 | 403 | 532 |
| 3 | 1349 | 520 |
| 4 | 5150 | 520 |
| 0 | 8258 | 510 |
| 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 (-.f64 (*.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)) (fma.f64 (-.f64 (*.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))) |
(fma.f64 (-.f64 (*.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)) |
(-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re) |
(*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) |
#s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) |
#s(literal 1/48 binary64) |
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(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) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
#s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 im im) |
im |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) re) |
#s(literal -1/2 binary64) |
re |
| 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 #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 #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 (-.f64 (*.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))) |
(*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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 (* 1/2 (cos re)) (fma.f64 (*.f64 re re) (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 (*.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)) |
(fma.f64 (*.f64 re re) (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re) |
(*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) |
#s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) |
#s(literal 1/48 binary64) |
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(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) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #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)))) |
(*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* 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(literal 1 binary64) |
#s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
#s(approx (* 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(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) re) |
#s(literal -1/2 binary64) |
re |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0390625 | (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 | 0.0859375 | (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) | |
| accuracy | 5.47322230994816 | #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) | |
| accuracy | 32.385694131228604 | #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))) | |
| accuracy | 0.6030034290868403 | (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) | |
| accuracy | 11.86214988572657 | (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) | |
| accuracy | 15.932655988749119 | #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) | |
| accuracy | 32.38567740346803 | #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 | 0.1796875 | (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) | |
| accuracy | 31.742486701139033 | #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) | |
| accuracy | 32.25157398806962 | #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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))) | |
| accuracy | 33.22038933294919 | #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) | |
| accuracy | 0.0 | (fma.f64 im im #s(literal 2 binary64)) | |
| accuracy | 0.0 | (*.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)))) | |
| accuracy | 15.932655988749119 | #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) | |
| accuracy | 30.004479633916514 | #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) | |
| accuracy | 0.02734375 | (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 | 0.0390625 | (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 | 0.0859375 | (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) | |
| accuracy | 5.47322230994816 | #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))) |
| 224.0ms | 256× | 0 | valid |
Compiled 327 to 49 computations (85% saved)
ival-add: 46.0ms (34% of total)const: 38.0ms (28% of total)ival-mult: 27.0ms (19.9% of total)ival-exp: 9.0ms (6.6% of total)ival-cos: 6.0ms (4.4% of total)ival-cosh: 3.0ms (2.2% of total)ival-div: 2.0ms (1.5% of total)ival-sub: 2.0ms (1.5% of total)exact: 1.0ms (0.7% of total)ival-neg: 1.0ms (0.7% 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 (-.f64 (*.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)) (fma.f64 (-.f64 (*.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))) |
(fma.f64 (-.f64 (*.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)) |
(-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 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 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
#s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 #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(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) |
(/.f64 #s(literal 1/2 binary64) (*.f64 re re)) |
#s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))) |
| 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))) |
(* 1/48 re) |
(* re (+ 1/48 (* -1/1440 (pow re 2)))) |
(/ 1/2 re) |
(/ (+ 1/2 (* -1/4 (pow re 2))) re) |
(/ 1/2 (pow re 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 (* (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))))) |
(* -1/4 (pow re 2)) |
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4)) |
(* -1/1440 (pow re 2)) |
(* (pow re 2) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(* -1/1440 (pow re 3)) |
(* (pow re 3) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(* -1/4 re) |
(* re (- (* 1/2 (/ 1 (pow re 2))) 1/4)) |
(cos re) |
(* -1 (* (pow re 3) (- 1/1440 (* 1/48 (/ 1 (pow re 2)))))) |
(* -1 (* re (- 1/4 (* 1/2 (/ 1 (pow re 2)))))) |
(+ (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 (* 1/2 (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 | |
|---|---|---|---|---|
| 5.0ms | 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)) (+ (* (* re re) -1/4) 1/2) (* (* (- (/ 1/2 (* re re)) 1/4) re) re) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (+ (* 1/720 (* im im)) 1/24) (+ (* -1/1440 (* re re)) 1/48) (+ (exp (neg im)) (exp im)) (* (+ (* -1/1440 (* re re)) 1/48) re) (* (- (/ 1/2 (* re re)) 1/4) re) (/ 1/2 (* re re)) (cos 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)) (+ (* (* re re) -1/4) 1/2) (* (* (- (/ 1/2 (* re re)) 1/4) re) re) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (+ (* 1/720 (* im im)) 1/24) (+ (* -1/1440 (* re re)) 1/48) (+ (exp (neg im)) (exp im)) (* (+ (* -1/1440 (* re re)) 1/48) re) (* (- (/ 1/2 (* re re)) 1/4) re) (/ 1/2 (* re re)) (cos 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)) (+ (* (* re re) -1/4) 1/2) (* (* (- (/ 1/2 (* re re)) 1/4) re) re) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (+ (* 1/720 (* im im)) 1/24) (+ (* -1/1440 (* re re)) 1/48) (+ (exp (neg im)) (exp im)) (* (+ (* -1/1440 (* re re)) 1/48) re) (* (- (/ 1/2 (* re re)) 1/4) re) (/ 1/2 (* re re)) (cos 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)) (+ (* (* re re) -1/4) 1/2) (* (* (- (/ 1/2 (* re re)) 1/4) re) re) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (+ (* 1/720 (* im im)) 1/24) (+ (* -1/1440 (* re re)) 1/48) (+ (exp (neg im)) (exp im)) (* (+ (* -1/1440 (* re re)) 1/48) re) (* (- (/ 1/2 (* re re)) 1/4) re) (/ 1/2 (* re re)) (cos 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)) (+ (* (* re re) -1/4) 1/2) (* (* (- (/ 1/2 (* re re)) 1/4) re) re) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (+ (* 1/720 (* im im)) 1/24) (+ (* -1/1440 (* re re)) 1/48) (+ (exp (neg im)) (exp im)) (* (+ (* -1/1440 (* re re)) 1/48) re) (* (- (/ 1/2 (* re re)) 1/4) re) (/ 1/2 (* re re)) (cos re)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 194 | 854 |
| 1 | 687 | 799 |
| 2 | 2291 | 781 |
| 0 | 8815 | 732 |
| 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))) |
(* 1/48 re) |
(* re (+ 1/48 (* -1/1440 (pow re 2)))) |
(/ 1/2 re) |
(/ (+ 1/2 (* -1/4 (pow re 2))) re) |
(/ 1/2 (pow re 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 (* (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))))) |
(* -1/4 (pow re 2)) |
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4)) |
(* -1/1440 (pow re 2)) |
(* (pow re 2) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(* -1/1440 (pow re 3)) |
(* (pow re 3) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(* -1/4 re) |
(* re (- (* 1/2 (/ 1 (pow re 2))) 1/4)) |
(cos re) |
(* -1 (* (pow re 3) (- 1/1440 (* 1/48 (/ 1 (pow re 2)))))) |
(* -1 (* re (- 1/4 (* 1/2 (/ 1 (pow re 2)))))) |
(+ (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 (* 1/2 (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)))) |
(fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) |
(+ (* -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)))))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) re) re #s(literal -1/4 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 re re) (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 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))))))))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 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)))) |
(fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) |
(+ (* -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)))))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) re) re #s(literal -1/4 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 re re) (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 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))))))))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 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 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 (pow re 2))) |
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) |
(fma.f64 (-.f64 (*.f64 (*.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 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/1440 binary64) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/48 binary64)) #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) |
(-.f64 (*.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 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/1440 binary64) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/48 binary64)) #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)) |
(* 1/48 re) |
(*.f64 #s(literal 1/48 binary64) re) |
(* re (+ 1/48 (* -1/1440 (pow re 2)))) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) re) |
(/ 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) |
(/ 1/2 (pow re 2)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) re) re) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow re 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (*.f64 re re) #s(literal 1 binary64)) |
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) |
(*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re)) |
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) |
(*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (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 (/.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 (/.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))) |
(* -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)) |
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) re) re) #s(literal 1/4 binary64)) re) re) |
(* -1/1440 (pow re 2)) |
(*.f64 (*.f64 re re) #s(literal -1/1440 binary64)) |
(* (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) |
(* -1/1440 (pow re 3)) |
(*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/1440 binary64)) |
(* (pow re 3) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(*.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/1440 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) |
(cos re) |
(cos.f64 re) |
(* -1 (* (pow re 3) (- 1/1440 (* 1/48 (/ 1 (pow re 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) (*.f64 re re)) #s(literal -1 binary64) #s(literal -1/1440 binary64)) (pow.f64 re #s(literal 3 binary64))) |
(* -1 (* re (- 1/4 (* 1/2 (/ 1 (pow re 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 re re)) #s(literal -1 binary64) #s(literal -1/4 binary64)) 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 (*.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 (pow.f64 im #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re))) |
(+ 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)) |
(+ 1/2 (* 1/24 (pow im 2))) |
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))) |
(fma.f64 (fma.f64 #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 (pow.f64 im #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/720 binary64))) |
(* (pow im 4) (+ 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 4 binary64))) |
(+ (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 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (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 | 58 | 423 |
| 0 | 88 | 415 |
| 1 | 305 | 405 |
| 2 | 1992 | 405 |
| 0 | 8902 | 396 |
| 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 (-.f64 (*.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)) (fma.f64 (-.f64 (*.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))) |
(fma.f64 (-.f64 (*.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)) |
(-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 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 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
#s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 #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(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) |
(/.f64 #s(literal 1/2 binary64) (*.f64 re re)) |
#s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 (cos.f64 re) #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)))) |
(*.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))) (*.f64 #s(literal 1 binary64) (cos.f64 re))) |
(*.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)) |
(*.f64 (*.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(literal 1 binary64)) |
(*.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(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))) |
(*.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))) #s(literal 1 binary64)) |
(*.f64 #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)))) |
#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 (+.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 3 binary64)) (pow.f64 im #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im))) #s(literal 3 binary64)) (pow.f64 (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)) #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 3 binary64)) (pow.f64 im #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im))) (/.f64 (*.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))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im))) (-.f64 (*.f64 (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 (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))) (*.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 3 binary64)) (pow.f64 im #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im))) (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)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im)))) |
(/.f64 (neg.f64 (neg.f64 (-.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))) #s(literal 1 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)) im) im) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.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)) im) im) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64)))) |
(/.f64 (fma.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 3 binary64)) (pow.f64 im #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im)) (*.f64 (-.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))) (*.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)) (*.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 #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))) |
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(*.f64 #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)))) |
#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 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 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))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #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))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 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 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 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 (*.f64 (/.f64 #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 1/13824 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 (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 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 1/13824 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 (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 (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/576 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.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))) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/576 binary64))) (*.f64 (-.f64 (*.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 (fma.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 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 (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 1/13824 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 1/518400 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 #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 (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/576 binary64))) (neg.f64 (-.f64 (*.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 (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/576 binary64)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 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))))) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/720 binary64) (neg.f64 im))) im #s(literal 1/24 binary64)) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/720 binary64) im)) im #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) (neg.f64 im)) (neg.f64 im) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) |
(fma.f64 (neg.f64 im) (*.f64 (neg.f64 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)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) |
(fma.f64 im (fabs.f64 (*.f64 (neg.f64 im) #s(literal 1/720 binary64))) #s(literal 1/24 binary64)) |
(fma.f64 im (fabs.f64 (*.f64 #s(literal 1/720 binary64) 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))) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) |
(-.f64 #s(literal 1/24 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/720 binary64) im)) im)) |
(-.f64 #s(literal 1/24 binary64) (*.f64 (neg.f64 (*.f64 im im)) #s(literal 1/720 binary64))) |
(-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 im im))) |
(+.f64 (/.f64 #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 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 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 (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 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 #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 (/.f64 #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 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 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 (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 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 1/13824 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 (*.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 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) |
(*.f64 re #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) |
(*.f64 re (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/16 binary64)) re)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 6 binary64))) #s(literal 1/64 binary64)) re)) (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 re re)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (*.f64 re (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/16 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (*.f64 re (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 6 binary64))) #s(literal 1/64 binary64)))) (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 re re)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 4 binary64)))))) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/16 binary64)) re) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 6 binary64))) #s(literal 1/64 binary64)) re) (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 re re)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 4 binary64))))) |
(/.f64 (*.f64 re (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/16 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 re (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 6 binary64))) #s(literal 1/64 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 re re)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 re))) (neg.f64 (neg.f64 re))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) re))) (neg.f64 (neg.f64 re))) |
(/.f64 (fabs.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 re))) re) |
(/.f64 (fabs.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) re))) re) |
(/.f64 (fabs.f64 (/.f64 #s(literal 1/2 binary64) re)) re) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 re)) (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 -1/2 binary64) (*.f64 (neg.f64 re) re)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 re re)) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 re re))) |
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 4 binary64)))) |
(fabs.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 re re))) |
(fabs.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)))) |
(fabs.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re))) |
#s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))) |
Compiled 22 287 to 1 908 computations (91.4% saved)
27 alts after pruning (20 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 438 | 12 | 450 |
| Fresh | 2 | 8 | 10 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 443 | 27 | 470 |
| Status | Accuracy | Program |
|---|---|---|
| 26.6% | (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) im))) #s(approx (cos re) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal -1 binary64))) | |
| 57.1% | (*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) | |
| 58.9% | (*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) | |
| 58.6% | (*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(literal 1 binary64))) | |
| 54.1% | (*.f64 (*.f64 #s(literal 1 binary64) #s(approx (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)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) | |
| 57.1% | (*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (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)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) | |
| ✓ | 75.1% | (*.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)))) |
| ✓ | 50.4% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
| ✓ | 100.0% | (*.f64 (cosh.f64 im) (cos.f64 re)) |
| 61.1% | (*.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) | |
| 64.9% | (*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))) | |
| 57.1% | (*.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))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) | |
| ✓ | 91.4% | (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
| 87.3% | (*.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)) | |
| 48.7% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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)) (fma.f64 im im #s(literal 2 binary64)))) | |
| ✓ | 35.0% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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))) |
| 34.8% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 (*.f64 re re) #s(literal -1/1440 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))) | |
| 50.8% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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)))) | |
| 36.8% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) re) re #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) | |
| 32.0% | (*.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)) #s(literal 2 binary64))) | |
| 27.7% | (*.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)))) | |
| 31.1% | (*.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))) | |
| 12.1% | (*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| 46.4% | (*.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)))) | |
| ✓ | 46.5% | (*.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)))) |
| 22.2% | (*.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)))) | |
| ✓ | 27.3% | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
Compiled 1 647 to 690 computations (58.1% 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 (*.f64 re re) #s(literal -1/4 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)) (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 (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) 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 (-.f64 (*.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 (-.f64 (*.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))) |
(*.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 (-.f64 (*.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 (-.f64 (*.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(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) 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 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 (*.f64 re re) #s(literal -1/1440 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)) #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 (-.f64 (*.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 (*.f64 #s(literal 1 binary64) #s(approx (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)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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)) (fma.f64 im im #s(literal 2 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))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (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)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) |
(*.f64 (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)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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 (cosh.f64 im) (cos.f64 re)) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) im))) #s(approx (cos re) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (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) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) im))) (cos.f64 re)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal -1 binary64))) |
| Outputs |
|---|
(*.f64 (cosh.f64 im) (cos.f64 re)) |
6 calls:
| 62.0ms | (cos.f64 re) |
| 43.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 10.0ms | im |
| 10.0ms | re |
| 10.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 100.0% | 1 | (cos.f64 re) |
| 100.0% | 1 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 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 | re |
| 100.0% | 1 | 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 (*.f64 re re) #s(literal -1/4 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)) (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 (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) 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 (-.f64 (*.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 (-.f64 (*.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))) |
(*.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 (-.f64 (*.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 (-.f64 (*.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(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) 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 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 (*.f64 re re) #s(literal -1/1440 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)) #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 (-.f64 (*.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 (*.f64 #s(literal 1 binary64) #s(approx (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)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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)) (fma.f64 im im #s(literal 2 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))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (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)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) |
(*.f64 (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)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))) |
6 calls:
| 10.0ms | im |
| 10.0ms | re |
| 9.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 8.0ms | (cos.f64 re) |
| 8.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.4% | 1 | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 95.6% | 2 | (cos.f64 re) |
| 95.6% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 99.9% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 95.1% | 2 | re |
| 97.6% | 3 | 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 (*.f64 re re) #s(literal -1/4 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)) (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 (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) 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 (-.f64 (*.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 (-.f64 (*.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))) |
(*.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 (-.f64 (*.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 (-.f64 (*.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(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) 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 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 (*.f64 re re) #s(literal -1/1440 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)) #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 (-.f64 (*.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 (*.f64 #s(literal 1 binary64) #s(approx (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)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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)) (fma.f64 im im #s(literal 2 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))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (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)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) |
(*.f64 (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)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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 (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 |
|---|---|---|
| 99.9% | 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 (*.f64 re re) #s(literal -1/4 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)) (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 (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) 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 (-.f64 (*.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 (-.f64 (*.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))) |
(*.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 (-.f64 (*.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 (-.f64 (*.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(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) 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 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 (*.f64 re re) #s(literal -1/1440 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)) #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 (-.f64 (*.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 (*.f64 #s(literal 1 binary64) #s(approx (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)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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)) (fma.f64 im im #s(literal 2 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))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (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)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) |
(*.f64 (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)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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 (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 (*.f64 re re) #s(literal -1/4 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)) (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 (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) 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 (-.f64 (*.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 (-.f64 (*.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))) |
(*.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 (-.f64 (*.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 (-.f64 (*.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(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) 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 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 (*.f64 re re) #s(literal -1/1440 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)) #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 (-.f64 (*.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 (*.f64 #s(literal 1 binary64) #s(approx (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)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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)) (fma.f64 im im #s(literal 2 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))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (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)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) |
(*.f64 (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)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (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 (*.f64 re re) #s(literal -1/4 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)) (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 (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) 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 (-.f64 (*.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 (-.f64 (*.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))) |
(*.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 (-.f64 (*.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 (-.f64 (*.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(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) 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 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 (*.f64 re re) #s(literal -1/1440 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)) #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 (-.f64 (*.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 (*.f64 #s(literal 1 binary64) #s(approx (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)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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)) (fma.f64 im im #s(literal 2 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))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (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)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) |
(*.f64 (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)) #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 (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 (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))) |
1 calls:
| 6.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 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 (*.f64 re re) #s(literal -1/4 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)) (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 (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) 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 (-.f64 (*.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 (-.f64 (*.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))) |
(*.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 (-.f64 (*.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 (-.f64 (*.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(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) 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 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 (*.f64 re re) #s(literal -1/1440 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)) #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 (-.f64 (*.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 (*.f64 #s(literal 1 binary64) #s(approx (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)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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)) (fma.f64 im im #s(literal 2 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))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (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)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) |
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.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))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))) |
6 calls:
| 16.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 7.0ms | re |
| 7.0ms | im |
| 7.0ms | (cos.f64 re) |
| 6.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.9% | 1 | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 67.1% | 2 | re |
| 77.0% | 2 | (cos.f64 re) |
| 77.0% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 64.9% | 1 | im |
| 77.0% | 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 (*.f64 re re) #s(literal -1/4 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)) (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 (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) 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 (-.f64 (*.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 (-.f64 (*.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))) |
(*.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 (-.f64 (*.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 (-.f64 (*.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(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) 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 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 (*.f64 re re) #s(literal -1/1440 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)) #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 (-.f64 (*.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 (*.f64 #s(literal 1 binary64) #s(approx (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)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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)) (fma.f64 im im #s(literal 2 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))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (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)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.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))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) |
3 calls:
| 30.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 7.0ms | (cos.f64 re) |
| 6.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.2% | 2 | (cos.f64 re) |
| 71.2% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 71.2% | 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 (*.f64 re re) #s(literal -1/4 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)) (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 (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) 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 (-.f64 (*.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 (-.f64 (*.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))) |
(*.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 (-.f64 (*.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 (-.f64 (*.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(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) 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 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 (*.f64 re re) #s(literal -1/1440 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)) #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 (-.f64 (*.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 (*.f64 #s(literal 1 binary64) #s(approx (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)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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)) (fma.f64 im im #s(literal 2 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))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (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)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.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))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(literal 1 binary64))) |
3 calls:
| 6.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 6.0ms | (cos.f64 re) |
| 6.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.7% | 2 | (cos.f64 re) |
| 70.7% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 70.7% | 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 (*.f64 re re) #s(literal -1/4 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)) (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 (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) 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 (-.f64 (*.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 (-.f64 (*.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))) |
(*.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 (-.f64 (*.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 (-.f64 (*.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(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) 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 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 (*.f64 re re) #s(literal -1/1440 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)) #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 (-.f64 (*.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 (*.f64 #s(literal 1 binary64) #s(approx (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)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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)) (fma.f64 im im #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (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)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #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 |
|---|---|---|
| 70.3% | 2 | (cos.f64 re) |
| 70.3% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 70.3% | 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 (*.f64 re re) #s(literal -1/4 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)) (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 (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) 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 (-.f64 (*.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 (-.f64 (*.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))) |
(*.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 (-.f64 (*.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 (-.f64 (*.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(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) 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 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 (*.f64 re re) #s(literal -1/1440 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)) #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 (-.f64 (*.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 (*.f64 #s(literal 1 binary64) #s(approx (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)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (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)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (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)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) |
4 calls:
| 10.0ms | re |
| 8.0ms | (*.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 |
|---|---|---|
| 59.9% | 3 | re |
| 62.7% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 68.2% | 3 | (cos.f64 re) |
| 68.2% | 3 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
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)))) |
(*.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 (*.f64 re re) #s(literal -1/4 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)) (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 (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) 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 (-.f64 (*.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 (-.f64 (*.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))) |
(*.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 (-.f64 (*.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 (-.f64 (*.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(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) 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 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 (*.f64 re re) #s(literal -1/1440 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)) #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 (-.f64 (*.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))) |
| 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 (-.f64 (*.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)))) |
5 calls:
| 19.0ms | im |
| 5.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 5.0ms | (cos.f64 re) |
| 4.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 4.0ms | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.0% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 52.6% | 2 | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 55.3% | 3 | im |
| 62.0% | 2 | (cos.f64 re) |
| 62.0% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
Compiled 24 to 26 computations (-8.3% 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 (*.f64 re re) #s(literal -1/4 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)) (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 (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) 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 (-.f64 (*.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 (-.f64 (*.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))) |
(*.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))) |
| 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 (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) 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 (*.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)))) |
4 calls:
| 3.0ms | re |
| 3.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 3.0ms | (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 |
|---|---|---|
| 53.0% | 3 | re |
| 57.5% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 59.7% | 3 | (cos.f64 re) |
| 59.7% | 3 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
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)))) |
(*.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 (*.f64 re re) #s(literal -1/4 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)) (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)))) |
2 calls:
| 4.0ms | (cos.f64 re) |
| 2.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.5% | 2 | (cos.f64 re) |
| 57.5% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
Compiled 6 to 8 computations (-33.3% 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 (*.f64 re re) #s(literal -1/4 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(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 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:
| 2.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 2.0ms | (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 |
|---|---|---|
| 57.5% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 57.5% | 2 | (cos.f64 re) |
| 57.5% | 2 | (*.f64 #s(literal 1/2 binary64) (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 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 2.0ms | im |
| 2.0ms | (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 |
|---|---|---|
| 46.5% | 1 | im |
| 53.4% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 53.4% | 2 | (cos.f64 re) |
| 53.4% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
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)))) |
5 calls:
| 2.0ms | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 2.0ms | re |
| 1.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 1.0ms | (cos.f64 re) |
| 1.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.5% | 1 | re |
| 46.5% | 1 | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 46.5% | 1 | (cos.f64 re) |
| 46.5% | 1 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 46.5% | 1 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 24 to 26 computations (-8.3% 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:
| 1.0ms | re |
| 1.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 1.0ms | im |
| 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 |
|---|---|---|
| 46.3% | 2 | im |
| 46.4% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 33.1% | 2 | (cos.f64 re) |
| 33.1% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 46.3% | 2 | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 33.3% | 2 | re |
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:
| 1.0ms | re |
| 1.0ms | im |
| 1.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 1.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 1.0ms | (cos.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 27.3% | 1 | (cos.f64 re) |
| 27.3% | 1 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 27.3% | 1 | re |
| 27.3% | 1 | im |
| 27.3% | 1 | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 27.3% | 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 | 0.9999999997316715 | 1.0 |
| 0.0ms | -inf | -0.9997327309787486 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999997316715 | 1.0 |
| 0.0ms | -inf | -0.9997327309787486 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999997316715 | 1.0 |
| 0.0ms | -inf | -0.9997327309787486 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999997316715 | 1.0 |
| 0.0ms | -inf | -0.9997327309787486 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999997316715 | 1.0 |
| 0.0ms | -inf | -0.9997327309787486 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.015048610321164155 | 0.08536262839104092 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.015048610321164155 | 0.08536262839104092 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.015048610321164155 | 0.08536262839104092 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.007524305160582077 | 0.04268131419552046 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.49989032335336864 | 0.4999992125257713 |
| 0.0ms | -0.007524305160582077 | 0.04268131419552046 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.007524305160582077 | 0.04268131419552046 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.49989032335336864 | 0.4999992125257713 |
| 0.0ms | -0.007524305160582077 | 0.04268131419552046 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.007524305160582077 | 0.04268131419552046 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.007524305160582077 | 0.04268131419552046 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.015048610321164155 | 0.08536262839104092 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000000818056352 | 71789.3783808501 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 134 | 1027 |
| 1 | 188 | 1027 |
| 2 | 301 | 1027 |
| 3 | 696 | 1027 |
| 4 | 2603 | 1027 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (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 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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 1125899906540513/1125899906842624 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 (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 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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 1125899906540513/1125899906842624 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 (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 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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 1125899906540513/1125899906842624 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 (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 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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 1125899906540513/1125899906842624 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (*.f64 (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 (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 (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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 1125899906540513/1125899906842624 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (*.f64 (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 -5764607523034235/576460752303423488 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))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) (*.f64 (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 -5764607523034235/576460752303423488 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))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/576460752303423488 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))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/1152921504606846976 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) #s(approx (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)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/1152921504606846976 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) #s(approx (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)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) (if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2251349453722511/4503599627370496 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1 binary64) #s(approx (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)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/1152921504606846976 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)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))) |
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/1152921504606846976 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 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2251349453722511/4503599627370496 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) 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 (*.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 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/1152921504606846976 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 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/1152921504606846976 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 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 -5764607523034235/576460752303423488 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 (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 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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 1125899906540513/1125899906842624 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 (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 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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 1125899906540513/1125899906842624 binary64)) (*.f64 #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) (*.f64 (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 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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 1125899906540513/1125899906842624 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 (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 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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 1125899906540513/1125899906842624 binary64)) (*.f64 #s(approx (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 (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 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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 1125899906540513/1125899906842624 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 (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 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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 1125899906540513/1125899906842624 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (*.f64 (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 (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 (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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 1125899906540513/1125899906842624 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (*.f64 (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 (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 (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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 1125899906540513/1125899906842624 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (*.f64 (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 -5764607523034235/576460752303423488 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))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) (*.f64 (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 -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) (*.f64 (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 -5764607523034235/576460752303423488 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))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) (*.f64 #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/576460752303423488 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))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (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 -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) (*.f64 #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/1152921504606846976 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) #s(approx (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)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/1152921504606846976 binary64)) (*.f64 #s(approx (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))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) (*.f64 #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/1152921504606846976 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) #s(approx (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)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) (if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2251349453722511/4503599627370496 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1 binary64) #s(approx (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)))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))))) |
(if (or (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/1152921504606846976 binary64)) (not (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2251349453722511/4503599627370496 binary64)))) (*.f64 #s(approx (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))) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))) |
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/1152921504606846976 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)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))) |
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/1152921504606846976 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 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2251349453722511/4503599627370496 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) 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 (*.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 (or (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/1152921504606846976 binary64)) (not (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2251349453722511/4503599627370496 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)) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) re) re #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))) |
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/1152921504606846976 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 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/1152921504606846976 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 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 -5764607523034235/576460752303423488 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))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 423 |
| 0 | 88 | 415 |
| 1 | 305 | 405 |
| 2 | 1992 | 405 |
| 0 | 8902 | 396 |
| 0 | 119 | 387 |
| 1 | 439 | 355 |
| 2 | 1768 | 346 |
| 3 | 6979 | 346 |
| 0 | 8096 | 312 |
| 0 | 40 | 218 |
| 0 | 64 | 214 |
| 1 | 212 | 204 |
| 0 | 1338 | 204 |
| 0 | 10 | 28 |
| 0 | 17 | 28 |
| 1 | 57 | 24 |
| 2 | 408 | 22 |
| 3 | 4743 | 22 |
| 0 | 8284 | 22 |
| 0 | 194 | 854 |
| 1 | 687 | 799 |
| 2 | 2291 | 781 |
| 0 | 8815 | 732 |
| 0 | 164 | 684 |
| 1 | 580 | 629 |
| 2 | 1951 | 615 |
| 3 | 7429 | 615 |
| 0 | 8023 | 574 |
| 0 | 283 | 1432 |
| 1 | 1121 | 1147 |
| 2 | 4723 | 1076 |
| 0 | 8948 | 977 |
| 0 | 31 | 116 |
| 0 | 50 | 112 |
| 1 | 156 | 100 |
| 0 | 985 | 100 |
| 1× | fuel |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 2 823 to 1 376 computations (51.3% saved)
(abs re)
(abs im)
Compiled 2 096 to 306 computations (85.4% saved)
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