
Time bar (total: 7.6s)
| 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)
| 712.0ms | 8 256× | 0 | valid |
ival-cos: 198.0ms (37.9% of total)ival-exp: 121.0ms (23.2% of total)ival-mult: 107.0ms (20.5% of total)ival-add: 43.0ms (8.2% of total)ival-neg: 37.0ms (7.1% of total)ival-true: 7.0ms (1.3% of total)exact: 6.0ms (1.1% of total)ival-assert: 4.0ms (0.8% 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 |
| 50.0ms | 512× | 0 | valid |
Compiled 81 to 34 computations (58% saved)
ival-cos: 10.0ms (34.5% of total)ival-exp: 7.0ms (24.1% of total)ival-mult: 6.0ms (20.7% of total)ival-add: 2.0ms (6.9% of total)ival-neg: 2.0ms (6.9% of total)ival-true: 1.0ms (3.4% 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 im) | |
| accuracy | 0.0 | (cos.f64 re) | |
| accuracy | 0.00390625 | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) | |
| accuracy | 0.0078125 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 24.0ms | 256× | 0 | valid |
Compiled 35 to 12 computations (65.7% saved)
ival-cos: 5.0ms (34.7% of total)ival-exp: 3.0ms (20.8% of total)ival-mult: 3.0ms (20.8% of total)ival-add: 1.0ms (6.9% of total)ival-neg: 1.0ms (6.9% 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) |
| 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)))))) |
(+ (exp im) (exp (neg im))) |
(exp im) |
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) |
(+ (exp 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)) |
| 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)) |
| 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)) |
| 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)) |
| 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)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 355 |
| 1 | 408 | 324 |
| 2 | 1700 | 315 |
| 3 | 6893 | 315 |
| 0 | 8192 | 284 |
| 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)))))) |
(+ (exp im) (exp (neg im))) |
(exp 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 (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)) |
(+ (exp im) (exp (neg im))) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(exp 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: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 0 | 17 | 25 |
| 1 | 57 | 21 |
| 2 | 408 | 19 |
| 3 | 4743 | 19 |
| 0 | 8284 | 19 |
| 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) |
| 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))))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) im))) (/.f64 (*.f64 (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 #s(literal 2 binary64) (*.f64 (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (neg.f64 (exp.f64 im)))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) |
(*.f64 (cos.f64 re) (*.f64 #s(literal 1 binary64) (cosh.f64 im))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) (cosh.f64 im))) |
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(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)) |
Compiled 8 501 to 1 172 computations (86.2% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 358 | 4 | 362 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 359 | 4 | 363 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) |
| ▶ | 77.7% | (*.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)))) |
| ▶ | 51.5% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
| ▶ | 90.0% | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (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))) |
Compiled 63 to 50 computations (20.6% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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))) | |
| cost-diff | 0 | (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re)) | |
| cost-diff | 0 | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (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))) | |
| cost-diff | 1 | (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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 155 |
| 0 | 42 | 151 |
| 1 | 97 | 151 |
| 2 | 289 | 145 |
| 3 | 1206 | 137 |
| 4 | 7954 | 137 |
| 0 | 8002 | 135 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (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))) |
(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)) |
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re)) |
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(*.f64 im im) |
im |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
(cos.f64 re) |
re |
(*.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 |
| Outputs |
|---|
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (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))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)) (cos.f64 re))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re)) (*.f64 im im) (cos.f64 re)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)) (cos.f64 re)) |
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re)) |
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) |
(*.f64 im im) |
im |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
(cos.f64 re) |
re |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(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 |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 #s(literal 1 binary64) (cosh.f64 im)) | |
| accuracy | 0.0 | (cosh.f64 im) | |
| accuracy | 0.0 | (cos.f64 re) | |
| accuracy | 0.0078125 | (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) | |
| accuracy | 0.0 | (cos.f64 re) | |
| accuracy | 0.0078125 | (*.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 | 14.275147595503048 | #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 | 0.0078125 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) | |
| accuracy | 31.02259030197527 | #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) | |
| accuracy | 0.0234375 | (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)) | |
| accuracy | 0.046875 | (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re)) | |
| accuracy | 0.306481293619612 | (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 6.424603144781722 | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (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))) |
| 453.0ms | 256× | 0 | valid |
Compiled 132 to 25 computations (81.1% saved)
ival-cos: 282.0ms (66.3% of total)ival-mult: 129.0ms (30.3% of total)ival-add: 4.0ms (0.9% of total)ival-exp: 3.0ms (0.7% of total)const: 3.0ms (0.7% of total)ival-cosh: 2.0ms (0.5% of total)ival-neg: 1.0ms (0.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(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)) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (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))) |
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re)) |
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(*.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) |
| Outputs |
|---|
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/2)))) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))) 1/2)))) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (+ (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (- (* -1/720 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/720)))))) 1/2)))) |
(* 1/2 (+ (exp im) (exp (neg im)))) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im)))))))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im))))))))) |
(+ 1/2 (* 1/24 (pow im 2))) |
(+ 1/2 (+ (* -1/2 (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2))))) (* 1/24 (pow im 2)))) |
(+ 1/2 (+ (* 1/24 (pow im 2)) (* (pow re 2) (+ (* -1/2 (+ 1/2 (* 1/24 (pow im 2)))) (* 1/24 (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2))))))))) |
(+ 1/2 (+ (* 1/24 (pow im 2)) (* (pow re 2) (+ (* -1/2 (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2))))) (* 1/24 (+ 1/2 (* 1/24 (pow im 2)))))))))) |
1/2 |
(+ 1/2 (* -1/4 (pow re 2))) |
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) |
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))))))))) |
(+ (cos re) (* (pow im 2) (* (cos re) (+ 1/2 (* 1/24 (pow im 2)))))) |
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) |
(* (cos re) (+ 1/2 (* 1/24 (pow im 2)))) |
(* 1/2 (cos re)) |
(cos re) |
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp 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))))))) |
(+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (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 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) |
(* 1/24 (* (pow im 4) (cos re))) |
(* (pow im 4) (+ (* 1/24 (cos re)) (* 1/2 (/ (cos re) (pow im 2))))) |
(* (pow im 4) (+ (* 1/24 (cos re)) (+ (* 1/2 (/ (cos re) (pow im 2))) (/ (cos re) (pow im 4))))) |
(* 1/24 (* (pow im 2) (cos re))) |
(* (pow im 2) (+ (* 1/24 (cos re)) (* 1/2 (/ (cos re) (pow im 2))))) |
(* 1/24 (pow im 2)) |
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (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 | |
|---|---|---|---|---|
| 11.0ms | re | @ | 0 | ((+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (+ (* (* im im) 1/24) 1/2) (cos re)) (+ (* (* im im) 1/24) 1/2) (* (* 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)) |
| 3.0ms | re | @ | inf | ((+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (+ (* (* im im) 1/24) 1/2) (cos re)) (+ (* (* im im) 1/24) 1/2) (* (* 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)) |
| 3.0ms | im | @ | inf | ((+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (+ (* (* im im) 1/24) 1/2) (cos re)) (+ (* (* im im) 1/24) 1/2) (* (* 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)) |
| 2.0ms | im | @ | -inf | ((+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (+ (* (* im im) 1/24) 1/2) (cos re)) (+ (* (* im im) 1/24) 1/2) (* (* 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)) |
| 2.0ms | re | @ | -inf | ((+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (+ (* (* im im) 1/24) 1/2) (cos re)) (+ (* (* im im) 1/24) 1/2) (* (* 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)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 190 | 879 |
| 1 | 737 | 797 |
| 2 | 2958 | 759 |
| 0 | 8855 | 684 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/2)))) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))) 1/2)))) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (+ (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (- (* -1/720 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/720)))))) 1/2)))) |
(* 1/2 (+ (exp im) (exp (neg im)))) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im)))))))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im))))))))) |
(+ 1/2 (* 1/24 (pow im 2))) |
(+ 1/2 (+ (* -1/2 (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2))))) (* 1/24 (pow im 2)))) |
(+ 1/2 (+ (* 1/24 (pow im 2)) (* (pow re 2) (+ (* -1/2 (+ 1/2 (* 1/24 (pow im 2)))) (* 1/24 (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2))))))))) |
(+ 1/2 (+ (* 1/24 (pow im 2)) (* (pow re 2) (+ (* -1/2 (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2))))) (* 1/24 (+ 1/2 (* 1/24 (pow im 2)))))))))) |
1/2 |
(+ 1/2 (* -1/4 (pow re 2))) |
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) |
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))))))))) |
(+ (cos re) (* (pow im 2) (* (cos re) (+ 1/2 (* 1/24 (pow im 2)))))) |
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) |
(* (cos re) (+ 1/2 (* 1/24 (pow im 2)))) |
(* 1/2 (cos re)) |
(cos re) |
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp 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))))))) |
(+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (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 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) |
(* 1/24 (* (pow im 4) (cos re))) |
(* (pow im 4) (+ (* 1/24 (cos re)) (* 1/2 (/ (cos re) (pow im 2))))) |
(* (pow im 4) (+ (* 1/24 (cos re)) (+ (* 1/2 (/ (cos re) (pow im 2))) (/ (cos re) (pow im 4))))) |
(* 1/24 (* (pow im 2) (cos re))) |
(* (pow im 2) (+ (* 1/24 (cos re)) (* 1/2 (/ (cos re) (pow im 2))))) |
(* 1/24 (pow im 2)) |
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(+ (exp im) (exp (neg im))) |
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) |
(+ (exp im) (exp (* -1 im))) |
| Outputs |
|---|
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/2)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))) 1/2)))) |
(fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (+ (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (- (* -1/720 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/720)))))) 1/2)))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im)) #s(literal 1/720 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 im im) #s(literal 1/48 binary64)) (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 re re) (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im)) #s(literal 1/2 binary64))) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(* 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 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im)))))))) |
(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 (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 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) |
(+ 1/2 (* 1/24 (pow im 2))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/2 (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2))))) (* 1/24 (pow im 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* 1/24 (pow im 2)) (* (pow re 2) (+ (* -1/2 (+ 1/2 (* 1/24 (pow im 2)))) (* 1/24 (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2))))))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 re re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* 1/24 (pow im 2)) (* (pow re 2) (+ (* -1/2 (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2))))) (* 1/24 (+ 1/2 (* 1/24 (pow im 2)))))))))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 (pow re 2))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) |
(fma.f64 (-.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 #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 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) |
(fma.f64 (-.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 (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 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))) |
(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 (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 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) |
(+ (cos re) (* (pow im 2) (* (cos re) (+ 1/2 (* 1/24 (pow im 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) (cos.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)) |
(* (cos re) (+ 1/2 (* 1/24 (pow im 2)))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (cos.f64 re)) |
(* 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 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re)) |
(+ (cos re) (* 1/2 (* (pow im 2) (cos re)))) |
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re)) |
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) (cos.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 (*.f64 (cos.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (cos.f64 re)) |
(+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (cos.f64 re)) |
2 |
#s(literal 2 binary64) |
(+ 2 (pow im 2)) |
(fma.f64 im im #s(literal 2 binary64)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))) |
(+ 1 (* 1/2 (pow im 2))) |
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (+ 1/2 (* (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)) |
(* 1/24 (* (pow im 4) (cos re))) |
(*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)) (cos.f64 re)) |
(* (pow im 4) (+ (* 1/24 (cos re)) (* 1/2 (/ (cos re) (pow im 2))))) |
(*.f64 (*.f64 (cos.f64 re) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal -1/24 binary64))) (pow.f64 im #s(literal 4 binary64))) |
(* (pow im 4) (+ (* 1/24 (cos re)) (+ (* 1/2 (/ (cos re) (pow im 2))) (/ (cos re) (pow im 4))))) |
(*.f64 (fma.f64 (cos.f64 re) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal -1/24 binary64)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 im #s(literal 4 binary64))) |
(* 1/24 (* (pow im 2) (cos re))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) im) im) |
(* (pow im 2) (+ (* 1/24 (cos re)) (* 1/2 (/ (cos re) (pow im 2))))) |
(*.f64 (*.f64 (cos.f64 re) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal -1/24 binary64))) (*.f64 im im)) |
(* 1/24 (pow im 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 im im)) |
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 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 | 28 | 124 |
| 0 | 42 | 120 |
| 1 | 152 | 110 |
| 0 | 1074 | 110 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(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)) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (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))) |
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re)) |
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(*.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) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im)) #s(literal 2 binary64))) (-.f64 (cos.f64 re) (*.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im)) #s(literal 2 binary64)) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im)) (cos.f64 re)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 re) (-.f64 (cos.f64 re) (*.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im))) (pow.f64 (*.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im)) #s(literal 2 binary64)) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im)) (cos.f64 re))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (fma.f64 (cos.f64 re) (cos.f64 re) (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im)) (cos.f64 re))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (fma.f64 (cos.f64 re) (-.f64 (cos.f64 re) (*.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im))) (pow.f64 (*.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (fabs.f64 im)) (fabs.f64 im) (cos.f64 re)) |
(fma.f64 (*.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (neg.f64 im)) (neg.f64 im) (cos.f64 re)) |
(fma.f64 (*.f64 (*.f64 im im) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (cos.f64 re) (cos.f64 re)) |
(fma.f64 (*.f64 (*.f64 (cos.f64 re) im) im) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (cos.f64 re)) |
(fma.f64 (*.f64 (cos.f64 re) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im)) im (cos.f64 re)) |
(fma.f64 (fabs.f64 im) (*.f64 (fabs.f64 im) (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)))) (cos.f64 re)) |
(fma.f64 (neg.f64 im) (*.f64 (neg.f64 im) (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)))) (cos.f64 re)) |
(fma.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (cos.f64 re)) |
(fma.f64 (cos.f64 re) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im)) (cos.f64 re)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 (*.f64 (cos.f64 re) im) im) (cos.f64 re)) |
(fma.f64 (*.f64 im im) (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (cos.f64 re)) |
(fma.f64 im (*.f64 (cos.f64 re) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im)) (cos.f64 re)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im)) (cos.f64 re))) (/.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im)) (cos.f64 re)))) |
(-.f64 (cos.f64 re) (*.f64 (neg.f64 (*.f64 (cos.f64 re) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im))) im)) |
(-.f64 (cos.f64 re) (*.f64 (neg.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)))) (*.f64 im im))) |
(-.f64 (cos.f64 re) (*.f64 (neg.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 (*.f64 (cos.f64 re) im) im))) |
(-.f64 (cos.f64 re) (*.f64 (neg.f64 (*.f64 im im)) (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im)) #s(literal 3 binary64)) (fma.f64 (cos.f64 re) (-.f64 (cos.f64 re) (*.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im))) (pow.f64 (*.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (fma.f64 (cos.f64 re) (-.f64 (cos.f64 re) (*.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im))) (pow.f64 (*.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im)) (cos.f64 re)) |
(+.f64 (cos.f64 re) (*.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (cos.f64 re))) |
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (cos.f64 re)) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/4 binary64)) (cos.f64 re)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64)) (cos.f64 re)) (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) #s(literal 1/48 binary64))))) |
(/.f64 (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/4 binary64))) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/13824 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) #s(literal 1/48 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) (cos.f64 re) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) |
(fma.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) |
(fma.f64 (cos.f64 re) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) (cos.f64 re))) |
(fma.f64 (cos.f64 re) #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (*.f64 im im)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) (cos.f64 re))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (*.f64 im im)))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) (cos.f64 re)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) (cos.f64 re))) |
(+.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (*.f64 im im)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 im im)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) #s(literal 1/48 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 im im) #s(literal 1/48 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) #s(literal 1/48 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) (fabs.f64 im)) (fabs.f64 im) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) (neg.f64 im)) (neg.f64 im) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) |
(fma.f64 (fabs.f64 im) (*.f64 (fabs.f64 im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (neg.f64 im) (*.f64 (neg.f64 im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(fma.f64 im (*.f64 #s(literal 1/24 binary64) im) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 im im))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 im im)) #s(literal 1/24 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 im) (*.f64 #s(literal 1/24 binary64) im))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/13824 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) #s(literal 1/48 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) #s(literal 1/48 binary64)))))) |
(+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) |
(*.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 (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(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 (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 (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))) |
Compiled 5 704 to 675 computations (88.2% saved)
16 alts after pruning (13 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 195 | 13 | 208 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 0 | 0 |
| Total | 196 | 16 | 212 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 70.8% | (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
| 68.8% | (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) | |
| ✓ | 77.7% | (*.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)))) |
| ✓ | 51.5% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
| 57.7% | (*.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)))) | |
| 42.4% | (*.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))) | |
| ▶ | 54.2% | (*.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)))) |
| 38.2% | (*.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))) | |
| 56.7% | (*.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)))) | |
| 38.8% | (*.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)) #s(literal 2 binary64))) | |
| 51.8% | (*.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)))) | |
| ▶ | 33.4% | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
| ✓ | 90.0% | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (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))) |
| ▶ | 62.2% | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
| 40.5% | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) | |
| ▶ | 33.6% | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
Compiled 828 to 569 computations (31.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) | |
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | (*.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)))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #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 (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) | |
| 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 | #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))) | |
| cost-diff | 0 | (cosh.f64 im) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) | |
| cost-diff | 2 | (*.f64 #s(literal 1 binary64) (cosh.f64 im)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 448 |
| 0 | 76 | 440 |
| 1 | 163 | 440 |
| 2 | 497 | 420 |
| 3 | 2100 | 412 |
| 0 | 8339 | 412 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (cosh.f64 im)) |
#s(literal 1 binary64) |
(cosh.f64 im) |
im |
#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 re re) |
re |
(*.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) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 im im) |
im |
#s(literal 1/2 binary64) |
#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)))) |
#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))) |
(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)) |
(-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1/48 binary64) (*.f64 re re)) |
#s(literal 1/48 binary64) |
(*.f64 re re) |
re |
#s(literal 1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 im im #s(literal 2 binary64)) |
im |
#s(literal 2 binary64) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
#s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im)) |
(fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) |
#s(literal -1/48 binary64) |
(*.f64 im im) |
im |
#s(literal -1/4 binary64) |
#s(literal 1/2 binary64) |
(*.f64 re re) |
re |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cosh.f64 im)) |
(*.f64 #s(literal 1 binary64) (cosh.f64 im)) |
(cosh.f64 im) |
#s(literal 1 binary64) |
(cosh.f64 im) |
im |
#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))) |
#s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) |
(fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 re 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) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos 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)))) |
#s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
#s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos 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))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 im im) |
im |
#s(literal 1/2 binary64) |
#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 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #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 (* 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))) |
(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)) |
(-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1/48 binary64) (*.f64 re re)) |
#s(literal 1/48 binary64) |
(*.f64 re re) |
re |
#s(literal 1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 im im #s(literal 2 binary64)) |
im |
#s(literal 2 binary64) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) im) im) #s(literal 1/2 binary64)) (*.f64 re 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))))) |
#s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) im) im) #s(literal 1/2 binary64)) (*.f64 re 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)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) im) im) #s(literal 1/2 binary64)) (*.f64 re 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))) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) |
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) im) im) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) im) im) |
(fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) |
#s(literal -1/48 binary64) |
(*.f64 im im) |
im |
#s(literal -1/4 binary64) |
#s(literal 1/2 binary64) |
(*.f64 re re) |
re |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3082294098987898 | (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) | |
| accuracy | 6.424603144781722 | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) | |
| accuracy | 20.82942498542253 | #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) | |
| accuracy | 21.91006749069885 | (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) | |
| accuracy | 0.03125 | (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)) | |
| accuracy | 0.4120398922246342 | (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) | |
| accuracy | 14.275147595503048 | #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) | |
| accuracy | 27.039602508302092 | #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))) | |
| accuracy | 0.03515625 | (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) | |
| accuracy | 0.306481293619612 | (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) | |
| accuracy | 6.424603144781722 | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) | |
| accuracy | 21.329846890657247 | #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) | |
| accuracy | 0.0078125 | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) | |
| accuracy | 25.087834569563135 | #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) | |
| accuracy | 31.02259030197527 | #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) | |
| accuracy | 0.0 | (cosh.f64 im) | |
| accuracy | 0.0078125 | (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) | |
| accuracy | 0.20278021027544016 | (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) | |
| accuracy | 26.97988709231794 | #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))) |
| 119.0ms | 256× | 0 | valid |
Compiled 292 to 47 computations (83.9% saved)
ival-mult: 27.0ms (41.8% of total)const: 11.0ms (17% of total)ival-add: 10.0ms (15.5% of total)ival-cos: 5.0ms (7.7% of total)ival-exp: 3.0ms (4.6% of total)ival-cosh: 3.0ms (4.6% of total)ival-sub: 2.0ms (3.1% of total)exact: 1.0ms (1.5% of total)ival-neg: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 #s(literal 1 binary64) (cosh.f64 im)) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
(cosh.f64 im) |
#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))) |
(*.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)) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 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)))) |
#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))) |
(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)) |
(-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
#s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) |
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(*.f64 #s(literal 1/48 binary64) (*.f64 re re)) |
(fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 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 |
(+ 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))) |
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/2)))) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))) 1/2)))) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (+ (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (- (* -1/720 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/720)))))) 1/2)))) |
-1/4 |
(- (* 1/48 (pow re 2)) 1/4) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (* (pow im 2) (- (* -1/48 (pow im 2)) 1/4)) 1/2)))) |
(* 1/48 (pow re 2)) |
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) |
(cos re) |
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (cos re)) |
(+ (cos re) (* (pow im 2) (* (cos re) (+ 1/2 (* 1/24 (pow im 2)))))) |
(* 1/48 (pow re 4)) |
(* (pow re 4) (- 1/48 (* 1/4 (/ 1 (pow re 2))))) |
(* (pow re 4) (- (+ 1/48 (/ 1/2 (pow re 4))) (* 1/4 (/ 1 (pow re 2))))) |
(* (pow re 2) (- 1/48 (* 1/4 (/ 1 (pow re 2))))) |
(* (pow re 2) (- (* (pow im 2) (- (* -1/48 (pow im 2)) 1/4)) 1/2)) |
(* (pow re 2) (- (+ (* (pow im 2) (- (* -1/48 (pow im 2)) 1/4)) (+ (/ 1 (pow re 2)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2)))) 1/2)) |
(* -1/2 (pow re 2)) |
(* (pow re 2) (- (/ 1 (pow re 2)) 1/2)) |
(+ 1 (* 1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) |
(+ (cos re) (* 1/2 (* (pow im 2) (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))))))) |
(+ 1/2 (* 1/24 (pow im 2))) |
(+ 1 (+ (* -1/2 (pow re 2)) (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))) |
(+ 1 (+ (* -1/2 (pow re 2)) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* (pow im 2) (+ 1/24 (* -1/48 (pow re 2))))))))) |
-1/2 |
(- (* -1/4 (pow im 2)) 1/2) |
(- (* (pow im 2) (- (* -1/48 (pow im 2)) 1/4)) 1/2) |
(- (* -1/48 (pow im 2)) 1/4) |
(+ (exp im) (exp (neg im))) |
(* 1/24 (* (pow im 4) (cos re))) |
(* (pow im 4) (+ (* 1/24 (cos re)) (* 1/2 (/ (cos re) (pow im 2))))) |
(* (pow im 4) (+ (* 1/24 (cos re)) (+ (* 1/2 (/ (cos re) (pow im 2))) (/ (cos re) (pow im 4))))) |
(* 1/24 (pow im 4)) |
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4))))) |
(* 1/24 (pow im 2)) |
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(* (pow im 4) (+ 1/24 (* -1/48 (pow re 2)))) |
(* (pow im 4) (+ 1/24 (+ (* -1/4 (/ (pow re 2) (pow im 2))) (+ (* -1/48 (pow re 2)) (* 1/2 (/ 1 (pow im 2))))))) |
(* (pow im 4) (+ 1/24 (+ (* -1/2 (/ (pow re 2) (pow im 4))) (+ (* -1/4 (/ (pow re 2) (pow im 2))) (+ (* -1/48 (pow re 2)) (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))))) |
(* -1/48 (pow im 4)) |
(* -1 (* (pow im 4) (+ 1/48 (* 1/4 (/ 1 (pow im 2)))))) |
(* (pow im 4) (- (* -1 (/ (+ 1/4 (* 1/2 (/ 1 (pow im 2)))) (pow im 2))) 1/48)) |
(* -1/48 (pow im 2)) |
(* -1 (* (pow im 2) (+ 1/48 (* 1/4 (/ 1 (pow im 2)))))) |
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) |
(+ (exp im) (exp (* -1 im))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | im | @ | inf | ((* 1 (cosh im)) (* (* 1 (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))) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (+ (* 1/24 (* im im)) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (- (* 1/48 (* re re)) 1/4) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (+ (* (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) (+ (* -1/2 (* re re)) 1) (+ (exp (neg im)) (exp im)) (* 1/48 (* re re)) (+ (* -1/48 (* im im)) -1/4)) |
| 6.0ms | re | @ | inf | ((* 1 (cosh im)) (* (* 1 (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))) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (+ (* 1/24 (* im im)) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (- (* 1/48 (* re re)) 1/4) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (+ (* (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) (+ (* -1/2 (* re re)) 1) (+ (exp (neg im)) (exp im)) (* 1/48 (* re re)) (+ (* -1/48 (* im im)) -1/4)) |
| 3.0ms | re | @ | -inf | ((* 1 (cosh im)) (* (* 1 (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))) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (+ (* 1/24 (* im im)) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (- (* 1/48 (* re re)) 1/4) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (+ (* (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) (+ (* -1/2 (* re re)) 1) (+ (exp (neg im)) (exp im)) (* 1/48 (* re re)) (+ (* -1/48 (* im im)) -1/4)) |
| 2.0ms | im | @ | -inf | ((* 1 (cosh im)) (* (* 1 (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))) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (+ (* 1/24 (* im im)) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (- (* 1/48 (* re re)) 1/4) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (+ (* (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) (+ (* -1/2 (* re re)) 1) (+ (exp (neg im)) (exp im)) (* 1/48 (* re re)) (+ (* -1/48 (* im im)) -1/4)) |
| 2.0ms | re | @ | 0 | ((* 1 (cosh im)) (* (* 1 (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))) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (+ (* 1/24 (* im im)) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (- (* 1/48 (* re re)) 1/4) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (+ (* (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) (+ (* -1/2 (* re re)) 1) (+ (exp (neg im)) (exp im)) (* 1/48 (* re re)) (+ (* -1/48 (* im im)) -1/4)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 242 | 1124 |
| 1 | 878 | 1072 |
| 2 | 3364 | 1023 |
| 0 | 9004 | 934 |
| 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))) |
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/2)))) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))) 1/2)))) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (+ (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (- (* -1/720 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/720)))))) 1/2)))) |
-1/4 |
(- (* 1/48 (pow re 2)) 1/4) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (* (pow im 2) (- (* -1/48 (pow im 2)) 1/4)) 1/2)))) |
(* 1/48 (pow re 2)) |
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) |
(cos re) |
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (cos re)) |
(+ (cos re) (* (pow im 2) (* (cos re) (+ 1/2 (* 1/24 (pow im 2)))))) |
(* 1/48 (pow re 4)) |
(* (pow re 4) (- 1/48 (* 1/4 (/ 1 (pow re 2))))) |
(* (pow re 4) (- (+ 1/48 (/ 1/2 (pow re 4))) (* 1/4 (/ 1 (pow re 2))))) |
(* (pow re 2) (- 1/48 (* 1/4 (/ 1 (pow re 2))))) |
(* (pow re 2) (- (* (pow im 2) (- (* -1/48 (pow im 2)) 1/4)) 1/2)) |
(* (pow re 2) (- (+ (* (pow im 2) (- (* -1/48 (pow im 2)) 1/4)) (+ (/ 1 (pow re 2)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2)))) 1/2)) |
(* -1/2 (pow re 2)) |
(* (pow re 2) (- (/ 1 (pow re 2)) 1/2)) |
(+ 1 (* 1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) |
(+ (cos re) (* 1/2 (* (pow im 2) (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))))))) |
(+ 1/2 (* 1/24 (pow im 2))) |
(+ 1 (+ (* -1/2 (pow re 2)) (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))) |
(+ 1 (+ (* -1/2 (pow re 2)) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* (pow im 2) (+ 1/24 (* -1/48 (pow re 2))))))))) |
-1/2 |
(- (* -1/4 (pow im 2)) 1/2) |
(- (* (pow im 2) (- (* -1/48 (pow im 2)) 1/4)) 1/2) |
(- (* -1/48 (pow im 2)) 1/4) |
(+ (exp im) (exp (neg im))) |
(* 1/24 (* (pow im 4) (cos re))) |
(* (pow im 4) (+ (* 1/24 (cos re)) (* 1/2 (/ (cos re) (pow im 2))))) |
(* (pow im 4) (+ (* 1/24 (cos re)) (+ (* 1/2 (/ (cos re) (pow im 2))) (/ (cos re) (pow im 4))))) |
(* 1/24 (pow im 4)) |
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4))))) |
(* 1/24 (pow im 2)) |
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(* (pow im 4) (+ 1/24 (* -1/48 (pow re 2)))) |
(* (pow im 4) (+ 1/24 (+ (* -1/4 (/ (pow re 2) (pow im 2))) (+ (* -1/48 (pow re 2)) (* 1/2 (/ 1 (pow im 2))))))) |
(* (pow im 4) (+ 1/24 (+ (* -1/2 (/ (pow re 2) (pow im 4))) (+ (* -1/4 (/ (pow re 2) (pow im 2))) (+ (* -1/48 (pow re 2)) (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))))) |
(* -1/48 (pow im 4)) |
(* -1 (* (pow im 4) (+ 1/48 (* 1/4 (/ 1 (pow im 2)))))) |
(* (pow im 4) (- (* -1 (/ (+ 1/4 (* 1/2 (/ 1 (pow im 2)))) (pow im 2))) 1/48)) |
(* -1/48 (pow im 2)) |
(* -1 (* (pow im 2) (+ 1/48 (* 1/4 (/ 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 (+.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 (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 (+.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 |
#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 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) |
(fma.f64 (fma.f64 (*.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 (+.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 (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 (+.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 (fma.f64 (*.f64 #s(literal 1/48 binary64) re) re (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/1440 binary64)) #s(literal 1/4 binary64))) (*.f64 re re) #s(literal 1/2 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 (* 1/24 (pow im 2)))) (* (pow re 2) (- (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/2)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 re 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))) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))) 1/2)))) |
(fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 re 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))) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (+ (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (- (* -1/720 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/720)))))) 1/2)))) |
(fma.f64 (-.f64 (+.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 im im)) #s(literal 1/720 binary64)) (*.f64 re re)) (*.f64 re re))) #s(literal 1/2 binary64)) (*.f64 re 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))) |
-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)) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (* (pow im 2) (- (* -1/48 (pow im 2)) 1/4)) 1/2)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) im) im) #s(literal 1/2 binary64)) (*.f64 re 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))) |
(* 1/48 (pow re 2)) |
(*.f64 #s(literal 1/48 binary64) (*.f64 re 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 #s(literal 1/2 binary64) (cos.f64 re)) |
(+ (cos re) (* (pow im 2) (* (cos re) (+ 1/2 (* 1/24 (pow im 2)))))) |
(*.f64 (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)) |
(* 1/48 (pow re 4)) |
(*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/48 binary64)) |
(* (pow re 4) (- 1/48 (* 1/4 (/ 1 (pow re 2))))) |
(*.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 re re))) (pow.f64 re #s(literal 4 binary64))) |
(* (pow re 4) (- (+ 1/48 (/ 1/2 (pow re 4))) (* 1/4 (/ 1 (pow re 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 re re))) (pow.f64 re #s(literal 4 binary64))) |
(* (pow re 2) (- 1/48 (* 1/4 (/ 1 (pow re 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 re re))) re) re) |
(* (pow re 2) (- (* (pow im 2) (- (* -1/48 (pow im 2)) 1/4)) 1/2)) |
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) im) im) #s(literal 1/2 binary64)) (*.f64 re re)) |
(* (pow re 2) (- (+ (* (pow im 2) (- (* -1/48 (pow im 2)) 1/4)) (+ (/ 1 (pow re 2)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2)))) 1/2)) |
(*.f64 (-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) im) im (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) re)) #s(literal 1/2 binary64)) (*.f64 re re)) |
(* -1/2 (pow re 2)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 re re)) |
(* (pow re 2) (- (/ 1 (pow re 2)) 1/2)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) re) 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 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(+ (cos re) (* 1/2 (* (pow im 2) (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 (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)) |
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re))))))) |
(fma.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/720 binary64) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))) (*.f64 im im) (cos.f64 re)) |
2 |
#s(literal 2 binary64) |
(+ 2 (pow im 2)) |
(fma.f64 im im #s(literal 2 binary64)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(fma.f64 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))) |
(+ 1/2 (* 1/24 (pow im 2))) |
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(+ 1 (+ (* -1/2 (pow re 2)) (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) re) re (fma.f64 (*.f64 im im) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (pow re 2)) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* (pow im 2) (+ 1/24 (* -1/48 (pow re 2))))))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 re re) #s(literal 1/24 binary64)) im) im (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 im im) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* -1/4 (pow im 2)) 1/2) |
(-.f64 (*.f64 (*.f64 im im) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(- (* (pow im 2) (- (* -1/48 (pow im 2)) 1/4)) 1/2) |
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) im) im) #s(literal 1/2 binary64)) |
(- (* -1/48 (pow im 2)) 1/4) |
(fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) |
(+ (exp im) (exp (neg im))) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(* 1/24 (* (pow im 4) (cos re))) |
(*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)) (cos.f64 re)) |
(* (pow im 4) (+ (* 1/24 (cos re)) (* 1/2 (/ (cos re) (pow im 2))))) |
(*.f64 (*.f64 (cos.f64 re) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal -1/24 binary64))) (pow.f64 im #s(literal 4 binary64))) |
(* (pow im 4) (+ (* 1/24 (cos re)) (+ (* 1/2 (/ (cos re) (pow im 2))) (/ (cos re) (pow im 4))))) |
(*.f64 (fma.f64 (cos.f64 re) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal -1/24 binary64)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 im #s(literal 4 binary64))) |
(* 1/24 (pow im 4)) |
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)) |
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64))) |
(* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) |
(* 1/24 (pow im 2)) |
(*.f64 (*.f64 im im) #s(literal 1/24 binary64)) |
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(* (pow im 4) (+ 1/24 (* -1/48 (pow re 2)))) |
(*.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/48 binary64) (*.f64 re re) #s(literal 1/24 binary64))) |
(* (pow im 4) (+ 1/24 (+ (* -1/4 (/ (pow re 2) (pow im 2))) (+ (* -1/48 (pow re 2)) (* 1/2 (/ 1 (pow im 2))))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) re) re (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 im im))) #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64))) |
(* (pow im 4) (+ 1/24 (+ (* -1/2 (/ (pow re 2) (pow im 4))) (+ (* -1/4 (/ (pow re 2) (pow im 2))) (+ (* -1/48 (pow re 2)) (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))))) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 re re) (/.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/24 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) re) re (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 im im))) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64))) |
(* -1/48 (pow im 4)) |
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/48 binary64)) |
(* -1 (* (pow im 4) (+ 1/48 (* 1/4 (/ 1 (pow im 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 im im)) #s(literal -1/48 binary64)) (pow.f64 im #s(literal 4 binary64))) |
(* (pow im 4) (- (* -1 (/ (+ 1/4 (* 1/2 (/ 1 (pow im 2)))) (pow im 2))) 1/48)) |
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 im im)) #s(literal -1/4 binary64)) im) im) #s(literal 1/48 binary64)) (pow.f64 im #s(literal 4 binary64))) |
(* -1/48 (pow im 2)) |
(*.f64 #s(literal -1/48 binary64) (*.f64 im im)) |
(* -1 (* (pow im 2) (+ 1/48 (* 1/4 (/ 1 (pow im 2)))))) |
(fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 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 | 51 | 379 |
| 0 | 76 | 371 |
| 1 | 312 | 359 |
| 2 | 2298 | 359 |
| 0 | 8247 | 355 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1 binary64) (cosh.f64 im)) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
(cosh.f64 im) |
#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))) |
(*.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)) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 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)))) |
#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))) |
(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)) |
(-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
#s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) |
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(*.f64 #s(literal 1/48 binary64) (*.f64 re re)) |
(fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) |
| Outputs |
|---|
(*.f64 (cosh.f64 im) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cosh.f64 im)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (exp.f64 im) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 im)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 im))) #s(literal 4 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 (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) (neg.f64 (*.f64 (+.f64 (expm1.f64 (+.f64 im im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) #s(literal 2 binary64))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (*.f64 (+.f64 (expm1.f64 (+.f64 im im)) (pow.f64 (exp.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 (neg.f64 im)))) |
(cosh.f64 (neg.f64 (neg.f64 im))) |
(cosh.f64 (neg.f64 im)) |
(cosh.f64 im) |
(-.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (+.f64 (exp.f64 im) (cosh.f64 im)) #s(literal 2 binary64)) (/.f64 (sinh.f64 im) #s(literal 2 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (/.f64 (-.f64 (sinh.f64 im) (exp.f64 im)) #s(literal 2 binary64))) |
(+.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 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (cosh.f64 im)) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (cosh.f64 im)) |
(*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cosh.f64 im)) #s(literal 1 binary64)) |
(*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cosh.f64 im)) |
(*.f64 (cosh.f64 im) (*.f64 #s(literal 1 binary64) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(*.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cosh.f64 im))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.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 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (exp.f64 im) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 im)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 im))) #s(literal 4 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 (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) (neg.f64 (*.f64 (+.f64 (expm1.f64 (+.f64 im im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) #s(literal 2 binary64))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (*.f64 (+.f64 (expm1.f64 (+.f64 im im)) (pow.f64 (exp.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 (neg.f64 im)))) |
(cosh.f64 (neg.f64 (neg.f64 im))) |
(cosh.f64 (neg.f64 im)) |
(cosh.f64 im) |
(-.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (+.f64 (exp.f64 im) (cosh.f64 im)) #s(literal 2 binary64)) (/.f64 (sinh.f64 im) #s(literal 2 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (/.f64 (-.f64 (sinh.f64 im) (exp.f64 im)) #s(literal 2 binary64))) |
(+.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))) |
#s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 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)) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos 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)))) |
#s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos 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))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #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 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #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 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #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 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im)))) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
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(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 6 binary64))) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))) (*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 re)) (neg.f64 re) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) re) (*.f64 re #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)) |
(fma.f64 (neg.f64 re) (*.f64 (neg.f64 re) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 re re) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) |
(fma.f64 re (*.f64 #s(literal -1/2 binary64) re) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) re)) re)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 re re)) #s(literal -1/2 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 re re))) |
(+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 6 binary64))) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))) (pow.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))) |
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1/48 binary64) (neg.f64 re))) re) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1/48 binary64) re)) re) |
(*.f64 (*.f64 #s(literal 1/48 binary64) (neg.f64 re)) (neg.f64 re)) |
(*.f64 (*.f64 #s(literal 1/48 binary64) re) re) |
(*.f64 (neg.f64 re) (*.f64 (neg.f64 re) #s(literal 1/48 binary64))) |
(*.f64 #s(literal 1/48 binary64) (*.f64 re re)) |
(*.f64 (*.f64 re re) #s(literal 1/48 binary64)) |
(*.f64 re (fabs.f64 (*.f64 (neg.f64 re) #s(literal 1/48 binary64)))) |
(*.f64 re (fabs.f64 (*.f64 #s(literal 1/48 binary64) re))) |
(*.f64 re (*.f64 #s(literal 1/48 binary64) re)) |
(sqrt.f64 (*.f64 #s(literal 1/2304 binary64) (pow.f64 re #s(literal 4 binary64)))) |
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)))) |
(fabs.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/2304 binary64) (pow.f64 im #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 im im))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2304 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/16 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 im im)) #s(literal -1/4 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/110592 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/64 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2304 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 im im) #s(literal 1/192 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2304 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 im im)) #s(literal -1/4 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 im im)) #s(literal -1/4 binary64)) #s(literal 1/16 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 im im)) #s(literal -1/4 binary64)) (-.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 im im)) #s(literal -1/4 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/110592 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 #s(literal 1/2304 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 im im) #s(literal 1/192 binary64)))) (*.f64 (fma.f64 #s(literal 1/2304 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 im im) #s(literal 1/192 binary64)))) #s(literal -1/64 binary64))) (*.f64 (fma.f64 #s(literal 1/2304 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 im im) #s(literal 1/192 binary64)))) (fma.f64 #s(literal 1/2304 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 im im) #s(literal 1/192 binary64)))))) |
(/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/2304 binary64) (pow.f64 im #s(literal 4 binary64)))) (-.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 im im)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2304 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/16 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 im im)) #s(literal -1/4 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/110592 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/64 binary64))) (neg.f64 (+.f64 #s(literal 1/16 binary64) (-.f64 (*.f64 #s(literal 1/2304 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 im im) #s(literal 1/192 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/110592 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/64 binary64))) (neg.f64 (fma.f64 #s(literal 1/2304 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 im im) #s(literal 1/192 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2304 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/16 binary64)) (-.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 im im)) #s(literal -1/4 binary64))) |
(/.f64 (fma.f64 #s(literal -1/110592 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/64 binary64)) (+.f64 #s(literal 1/16 binary64) (-.f64 (*.f64 #s(literal 1/2304 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 im im) #s(literal 1/192 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/110592 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/64 binary64)) (fma.f64 #s(literal 1/2304 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 im im) #s(literal 1/192 binary64))))) |
(fma.f64 (*.f64 #s(literal -1/48 binary64) (neg.f64 im)) (neg.f64 im) #s(literal -1/4 binary64)) |
(fma.f64 (*.f64 #s(literal -1/48 binary64) im) im #s(literal -1/4 binary64)) |
(fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) |
(fma.f64 (*.f64 im im) #s(literal -1/48 binary64) #s(literal -1/4 binary64)) |
(fma.f64 (neg.f64 im) (*.f64 (neg.f64 im) #s(literal -1/48 binary64)) #s(literal -1/4 binary64)) |
(fma.f64 im (*.f64 #s(literal -1/48 binary64) im) #s(literal -1/4 binary64)) |
(-.f64 (/.f64 #s(literal 1/16 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 im im)))) (/.f64 (*.f64 #s(literal 1/2304 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 im im))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/2304 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 im im)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (-.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 im im)) #s(literal -1/4 binary64)))) |
(-.f64 #s(literal -1/4 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/48 binary64) im)) im)) |
(-.f64 #s(literal -1/4 binary64) (*.f64 (neg.f64 (*.f64 im im)) #s(literal -1/48 binary64))) |
(-.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 im im))) |
(+.f64 (/.f64 (*.f64 #s(literal -1/110592 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 #s(literal 1/2304 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 im im) #s(literal 1/192 binary64))))) (/.f64 #s(literal -1/64 binary64) (fma.f64 #s(literal 1/2304 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 im im) #s(literal 1/192 binary64)))))) |
(+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 im im)) #s(literal -1/4 binary64)) |
(+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 im im))) |
Compiled 28 225 to 2 120 computations (92.5% saved)
21 alts after pruning (16 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 441 | 11 | 452 |
| Fresh | 3 | 5 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 447 | 21 | 468 |
| Status | Accuracy | Program |
|---|---|---|
| 68.8% | (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) | |
| ✓ | 77.7% | (*.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)))) |
| ✓ | 51.5% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
| ▶ | 70.8% | (*.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
| 66.0% | (*.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))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) | |
| 57.7% | (*.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)))) | |
| ▶ | 42.4% | (*.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))) |
| ✓ | 54.2% | (*.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)))) |
| 38.2% | (*.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))) | |
| 38.8% | (*.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))) | |
| ▶ | 56.7% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #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)))) |
| ▶ | 51.8% | (*.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)))) |
| ✓ | 33.4% | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
| ✓ | 90.0% | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (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))) |
| ▶ | 40.5% | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 re 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))))) |
| 62.2% | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))) | |
| 59.0% | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) | |
| 61.5% | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (+ (* 1/24 (* im im)) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64)))) | |
| 22.0% | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (*.f64 (-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) im) im (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) re)) #s(literal 1/2 binary64)) (*.f64 re re))))) | |
| 13.1% | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) im) im) #s(literal 1/2 binary64)) (*.f64 re re))))) | |
| 31.2% | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))))) |
Compiled 1 400 to 892 computations (36.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 re 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))) | |
| cost-diff | 0 | #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 re 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)))) | |
| cost-diff | 0 | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 re 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))))) | |
| cost-diff | 5 | (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) | |
| 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 | #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #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 #s(approx (- (* 1/48 (* re re)) 1/4) #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)))) | |
| 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 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (cosh.f64 im) | |
| cost-diff | 0 | (*.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 579 |
| 0 | 95 | 579 |
| 1 | 199 | 579 |
| 2 | 677 | 575 |
| 3 | 3680 | 555 |
| 0 | 8565 | 555 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(cosh.f64 im) |
im |
#s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 re re) |
re |
#s(literal -1/2 binary64) |
#s(literal 1 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(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 #s(approx (- (* 1/48 (* re re)) 1/4) #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(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
#s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) |
#s(literal -1/4 binary64) |
(*.f64 re re) |
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)) |
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) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 re 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))))) |
#s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 re 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)))) |
(fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 re 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))) |
(-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) |
(*.f64 #s(literal 1/24 binary64) re) |
#s(literal 1/24 binary64) |
re |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) |
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) |
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(*.f64 im im) |
im |
#s(literal 1/2 binary64) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 re 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)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))) (cosh.f64 im)) |
(cosh.f64 im) |
im |
#s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))) |
(fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) |
(*.f64 re re) |
re |
#s(literal -1/2 binary64) |
#s(literal 1 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 (+ (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 #s(approx (- (* 1/48 (* re re)) 1/4) #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(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
#s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) |
#s(literal -1/4 binary64) |
(*.f64 re re) |
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)) |
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 #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))) |
(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) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 re 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))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64))) (*.f64 re re) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))) |
#s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 re 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)))) |
#s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64))) (*.f64 re re) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))) |
(fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 re 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))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64))) (*.f64 re re) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) |
(-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) re) re #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal -1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/24 binary64) re) re)) |
(*.f64 #s(literal 1/24 binary64) re) |
#s(literal 1/24 binary64) |
re |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) re) re #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal -1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) |
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) |
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(*.f64 im im) |
im |
#s(literal 1/2 binary64) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 re 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)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 6.028475552790903 | (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64))) | |
| accuracy | 6.424603144781722 | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 re 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))))) | |
| accuracy | 11.175781250000002 | (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 re 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))) | |
| accuracy | 22.60905053861012 | #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 re 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)))) | |
| accuracy | 0.203125 | (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) | |
| accuracy | 0.29840393172378893 | (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) | |
| accuracy | 26.97047776113142 | #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 | 31.02259030197527 | #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) | |
| accuracy | 0.03125 | (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) | |
| accuracy | 14.275147595503048 | #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) | |
| accuracy | 27.039602508302092 | #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) | |
| accuracy | 27.603055386828444 | #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) | |
| accuracy | 0.0 | (fma.f64 im im #s(literal 2 binary64)) | |
| accuracy | 0.0078125 | (*.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 | 14.275147595503048 | #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) | |
| accuracy | 25.087834569563135 | #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) | |
| accuracy | 0.0 | (cosh.f64 im) | |
| accuracy | 0.0078125 | (*.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| accuracy | 0.20278021027544016 | (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)) | |
| accuracy | 26.97988709231794 | #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
| 153.0ms | 256× | 0 | valid |
Compiled 403 to 55 computations (86.4% saved)
ival-mult: 54.0ms (53.7% of total)ival-add: 12.0ms (11.9% of total)ival-sub: 11.0ms (10.9% of total)const: 9.0ms (8.9% of total)ival-cos: 5.0ms (5% of total)ival-exp: 3.0ms (3% of total)ival-cosh: 3.0ms (3% of total)exact: 1.0ms (1% of total)ival-neg: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(cosh.f64 im) |
#s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 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 #s(approx (- (* 1/48 (* re re)) 1/4) #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(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
#s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 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 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 re 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))))) |
#s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 re 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)))) |
(fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 re 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))) |
#s(approx (+ (exp (neg im)) (exp 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 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 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 |
(+ 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))) |
-1/4 |
(- (* 1/48 (pow re 2)) 1/4) |
(- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4) |
(- (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/2) |
(- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))) 1/2) |
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/2)))) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))) 1/2)))) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (+ (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (- (* -1/720 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/720)))))) 1/2)))) |
1/48 |
(+ 1/48 (* -1/1440 (pow re 2))) |
(* 1/48 re) |
(* re (+ 1/48 (* -1/1440 (pow re 2)))) |
(* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* 1/24 (* (pow im 2) (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2))))))) |
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) |
(cos re) |
(* -1/2 (pow re 2)) |
(* (pow re 2) (- (/ 1 (pow re 2)) 1/2)) |
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (cos re)) |
(* 1/48 (pow re 4)) |
(* (pow re 4) (- 1/48 (* 1/4 (/ 1 (pow re 2))))) |
(* (pow re 4) (- (+ 1/48 (/ 1/2 (pow re 4))) (* 1/4 (/ 1 (pow re 2))))) |
(* 1/48 (pow re 2)) |
(* (pow re 2) (- 1/48 (* 1/4 (/ 1 (pow re 2))))) |
(* -1/1440 (pow re 6)) |
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(* (pow re 6) (- (+ (* 1/48 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(* -1/1440 (pow re 4)) |
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(* (pow re 2) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))) |
(* (pow re 2) (- (+ 1/24 (+ (* -1/2 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))) (* 1/2 (/ 1 (pow re 2))))) |
(+ (cos re) (* (pow im 2) (* (cos re) (+ 1/2 (* 1/24 (pow im 2)))))) |
(* (pow re 4) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))) |
(* (pow re 4) (- (+ 1/24 (+ (* -1/2 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))) (* 1/2 (/ 1 (pow re 2))))) |
(* (pow re 4) (- (+ 1/24 (+ (* -1/2 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (+ (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (+ (/ 1 (pow re 4)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 4)))))) (* 1/2 (/ 1 (pow re 2))))) |
(* -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)) |
(* 1/24 (* (pow im 2) (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2)))))) |
(* (pow re 2) (+ (* -1/2 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))) |
(* -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 (* (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 (pow re 2)) 1/2) |
(- (+ (* 1/24 (pow re 2)) (* 1/2 (* (pow im 2) (- (* 1/24 (pow re 2)) 1/2)))) 1/2) |
(- (+ (* 1/24 (pow re 2)) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (- (* 1/24 (pow re 2)) 1/2))) (* 1/2 (- (* 1/24 (pow re 2)) 1/2))))) 1/2) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/2 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))))) (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (+ (* 1/2 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) (* (pow im 2) (+ 1/24 (* 1/24 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))))) (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))) |
(* 1/2 (* (pow im 2) (- (* 1/24 (pow re 2)) 1/2))) |
(* (pow im 2) (+ (* 1/24 (* (pow im 2) (- (* 1/24 (pow re 2)) 1/2))) (* 1/2 (- (* 1/24 (pow re 2)) 1/2)))) |
(+ (exp im) (exp (neg im))) |
(pow im 2) |
(* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2))))) |
(* 1/24 (* (pow im 4) (- (* 1/24 (pow re 2)) 1/2))) |
(* (pow im 4) (+ (* 1/24 (- (* 1/24 (pow re 2)) 1/2)) (* 1/2 (/ (- (* 1/24 (pow re 2)) 1/2) (pow im 2))))) |
(* (pow im 4) (- (+ (* 1/24 (- (* 1/24 (pow re 2)) 1/2)) (+ (* 1/24 (/ (pow re 2) (pow im 4))) (* 1/2 (/ (- (* 1/24 (pow re 2)) 1/2) (pow im 2))))) (/ 1/2 (pow im 4)))) |
(* 1/24 (* (pow im 4) (cos re))) |
(* (pow im 4) (+ (* 1/24 (cos re)) (* 1/2 (/ (cos re) (pow im 2))))) |
(* (pow im 4) (+ (* 1/24 (cos re)) (+ (* 1/2 (/ (cos re) (pow im 2))) (/ (cos re) (pow im 4))))) |
(* (pow im 4) (+ 1/24 (* 1/24 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))))) |
(* (pow im 4) (+ 1/24 (+ (* 1/24 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) (+ (* 1/2 (/ (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)) (pow im 2))) (* 1/2 (/ 1 (pow im 2))))))) |
(* (pow im 4) (+ 1/24 (+ (* 1/24 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) (+ (* 1/2 (/ (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)) (pow im 2))) (+ (* 1/2 (/ 1 (pow im 2))) (+ (/ 1 (pow im 4)) (/ (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)) (pow im 4)))))))) |
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) |
(+ (exp im) (exp (* -1 im))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | re | @ | inf | ((* (cosh im) (cos re)) (cosh im) (cos re) (+ (* (* re re) -1/2) 1) (* (* 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)) (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (- (* 1/48 (* re re)) 1/4) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* (* (+ (* -1/1440 (* re re)) 1/48) re) re) 1/4) (* re re)) 1/2) (- (* (* (+ (* -1/1440 (* re re)) 1/48) re) re) 1/4) (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* (* 1/24 re) re) -1/2))) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (+ (* (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* (* 1/24 re) re) -1/2))) 1/2) (* re re)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1)) (+ (exp (neg im)) (exp im)) (+ (* -1/1440 (* re re)) 1/48) (* (+ (* -1/1440 (* re re)) 1/48) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* (* 1/24 re) re) -1/2))) |
| 4.0ms | re | @ | -inf | ((* (cosh im) (cos re)) (cosh im) (cos re) (+ (* (* re re) -1/2) 1) (* (* 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)) (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (- (* 1/48 (* re re)) 1/4) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* (* (+ (* -1/1440 (* re re)) 1/48) re) re) 1/4) (* re re)) 1/2) (- (* (* (+ (* -1/1440 (* re re)) 1/48) re) re) 1/4) (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* (* 1/24 re) re) -1/2))) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (+ (* (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* (* 1/24 re) re) -1/2))) 1/2) (* re re)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1)) (+ (exp (neg im)) (exp im)) (+ (* -1/1440 (* re re)) 1/48) (* (+ (* -1/1440 (* re re)) 1/48) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* (* 1/24 re) re) -1/2))) |
| 3.0ms | im | @ | inf | ((* (cosh im) (cos re)) (cosh im) (cos re) (+ (* (* re re) -1/2) 1) (* (* 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)) (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (- (* 1/48 (* re re)) 1/4) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* (* (+ (* -1/1440 (* re re)) 1/48) re) re) 1/4) (* re re)) 1/2) (- (* (* (+ (* -1/1440 (* re re)) 1/48) re) re) 1/4) (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* (* 1/24 re) re) -1/2))) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (+ (* (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* (* 1/24 re) re) -1/2))) 1/2) (* re re)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1)) (+ (exp (neg im)) (exp im)) (+ (* -1/1440 (* re re)) 1/48) (* (+ (* -1/1440 (* re re)) 1/48) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* (* 1/24 re) re) -1/2))) |
| 3.0ms | im | @ | -inf | ((* (cosh im) (cos re)) (cosh im) (cos re) (+ (* (* re re) -1/2) 1) (* (* 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)) (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (- (* 1/48 (* re re)) 1/4) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* (* (+ (* -1/1440 (* re re)) 1/48) re) re) 1/4) (* re re)) 1/2) (- (* (* (+ (* -1/1440 (* re re)) 1/48) re) re) 1/4) (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* (* 1/24 re) re) -1/2))) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (+ (* (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* (* 1/24 re) re) -1/2))) 1/2) (* re re)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1)) (+ (exp (neg im)) (exp im)) (+ (* -1/1440 (* re re)) 1/48) (* (+ (* -1/1440 (* re re)) 1/48) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* (* 1/24 re) re) -1/2))) |
| 3.0ms | re | @ | 0 | ((* (cosh im) (cos re)) (cosh im) (cos re) (+ (* (* re re) -1/2) 1) (* (* 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)) (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (- (* 1/48 (* re re)) 1/4) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* (* (+ (* -1/1440 (* re re)) 1/48) re) re) 1/4) (* re re)) 1/2) (- (* (* (+ (* -1/1440 (* re re)) 1/48) re) re) 1/4) (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* (* 1/24 re) re) -1/2))) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (+ (* (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* (* 1/24 re) re) -1/2))) 1/2) (* re re)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1)) (+ (exp (neg im)) (exp im)) (+ (* -1/1440 (* re re)) 1/48) (* (+ (* -1/1440 (* re re)) 1/48) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* (* 1/24 re) re) -1/2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 288 | 1683 |
| 1 | 1018 | 1603 |
| 2 | 3842 | 1448 |
| 0 | 8470 | 1350 |
| 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))) |
-1/4 |
(- (* 1/48 (pow re 2)) 1/4) |
(- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4) |
(- (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/2) |
(- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))) 1/2) |
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/2)))) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))) 1/2)))) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (+ (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (- (* -1/720 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/720)))))) 1/2)))) |
1/48 |
(+ 1/48 (* -1/1440 (pow re 2))) |
(* 1/48 re) |
(* re (+ 1/48 (* -1/1440 (pow re 2)))) |
(* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* 1/24 (* (pow im 2) (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2))))))) |
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) |
(cos re) |
(* -1/2 (pow re 2)) |
(* (pow re 2) (- (/ 1 (pow re 2)) 1/2)) |
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (cos re)) |
(* 1/48 (pow re 4)) |
(* (pow re 4) (- 1/48 (* 1/4 (/ 1 (pow re 2))))) |
(* (pow re 4) (- (+ 1/48 (/ 1/2 (pow re 4))) (* 1/4 (/ 1 (pow re 2))))) |
(* 1/48 (pow re 2)) |
(* (pow re 2) (- 1/48 (* 1/4 (/ 1 (pow re 2))))) |
(* -1/1440 (pow re 6)) |
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(* (pow re 6) (- (+ (* 1/48 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(* -1/1440 (pow re 4)) |
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(* (pow re 2) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))) |
(* (pow re 2) (- (+ 1/24 (+ (* -1/2 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))) (* 1/2 (/ 1 (pow re 2))))) |
(+ (cos re) (* (pow im 2) (* (cos re) (+ 1/2 (* 1/24 (pow im 2)))))) |
(* (pow re 4) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))) |
(* (pow re 4) (- (+ 1/24 (+ (* -1/2 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))) (* 1/2 (/ 1 (pow re 2))))) |
(* (pow re 4) (- (+ 1/24 (+ (* -1/2 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (+ (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (+ (/ 1 (pow re 4)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 4)))))) (* 1/2 (/ 1 (pow re 2))))) |
(* -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)) |
(* 1/24 (* (pow im 2) (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2)))))) |
(* (pow re 2) (+ (* -1/2 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))) |
(* -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 (* (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 (pow re 2)) 1/2) |
(- (+ (* 1/24 (pow re 2)) (* 1/2 (* (pow im 2) (- (* 1/24 (pow re 2)) 1/2)))) 1/2) |
(- (+ (* 1/24 (pow re 2)) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (- (* 1/24 (pow re 2)) 1/2))) (* 1/2 (- (* 1/24 (pow re 2)) 1/2))))) 1/2) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/2 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))))) (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))) |
(+ 1 (+ (* (pow im 2) (+ 1/2 (+ (* 1/2 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) (* (pow im 2) (+ 1/24 (* 1/24 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))))) (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))) |
(* 1/2 (* (pow im 2) (- (* 1/24 (pow re 2)) 1/2))) |
(* (pow im 2) (+ (* 1/24 (* (pow im 2) (- (* 1/24 (pow re 2)) 1/2))) (* 1/2 (- (* 1/24 (pow re 2)) 1/2)))) |
(+ (exp im) (exp (neg im))) |
(pow im 2) |
(* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2))))) |
(* 1/24 (* (pow im 4) (- (* 1/24 (pow re 2)) 1/2))) |
(* (pow im 4) (+ (* 1/24 (- (* 1/24 (pow re 2)) 1/2)) (* 1/2 (/ (- (* 1/24 (pow re 2)) 1/2) (pow im 2))))) |
(* (pow im 4) (- (+ (* 1/24 (- (* 1/24 (pow re 2)) 1/2)) (+ (* 1/24 (/ (pow re 2) (pow im 4))) (* 1/2 (/ (- (* 1/24 (pow re 2)) 1/2) (pow im 2))))) (/ 1/2 (pow im 4)))) |
(* 1/24 (* (pow im 4) (cos re))) |
(* (pow im 4) (+ (* 1/24 (cos re)) (* 1/2 (/ (cos re) (pow im 2))))) |
(* (pow im 4) (+ (* 1/24 (cos re)) (+ (* 1/2 (/ (cos re) (pow im 2))) (/ (cos re) (pow im 4))))) |
(* (pow im 4) (+ 1/24 (* 1/24 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))))) |
(* (pow im 4) (+ 1/24 (+ (* 1/24 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) (+ (* 1/2 (/ (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)) (pow im 2))) (* 1/2 (/ 1 (pow im 2))))))) |
(* (pow im 4) (+ 1/24 (+ (* 1/24 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) (+ (* 1/2 (/ (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)) (pow im 2))) (+ (* 1/2 (/ 1 (pow im 2))) (+ (/ 1 (pow im 4)) (/ (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)) (pow im 4)))))))) |
(* 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 (+.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 (*.f64 #s(literal 1/48 binary64) re) re #s(literal -1/4 binary64))) (*.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 (+.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 |
#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 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) |
(fma.f64 (fma.f64 (*.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 (+.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 (*.f64 #s(literal 1/48 binary64) re) re #s(literal -1/4 binary64))) (*.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 (+.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 (*.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 (*.f64 #s(literal 1/48 binary64) re) re (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/1440 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 (*.f64 #s(literal 1/48 binary64) re) re (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/1440 binary64)) #s(literal 1/4 binary64))) |
(- (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/2) |
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 im im)) #s(literal 1/2 binary64)) |
(- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))) 1/2) |
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(+ 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 (* 1/24 (pow im 2)))) (* (pow re 2) (- (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/2)))) |
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1/48 |
#s(literal 1/48 binary64) |
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2 |
#s(literal 2 binary64) |
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(* 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 | 61 | 449 |
| 0 | 95 | 449 |
| 1 | 384 | 437 |
| 2 | 3070 | 437 |
| 0 | 8705 | 435 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(cosh.f64 im) |
#s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 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 #s(approx (- (* 1/48 (* re re)) 1/4) #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(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
#s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 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 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 re 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))))) |
#s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 re 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)))) |
(fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 re 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))) |
#s(approx (+ (exp (neg im)) (exp 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 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))) (cosh.f64 im)) |
(*.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (exp.f64 im) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 im)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 im))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) #s(literal 2 binary64))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (*.f64 (+.f64 (expm1.f64 (+.f64 im im)) (pow.f64 (exp.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 (neg.f64 im)))) |
(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))) |
#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/8 binary64)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))) (*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))) #s(literal 1 binary64))) (*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))))) |
(/.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 re)) (neg.f64 re) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)) |
(fma.f64 (neg.f64 re) (*.f64 (neg.f64 re) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 re re) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) |
(fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 re (*.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 re (*.f64 #s(literal -1/2 binary64) re) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 re re)) #s(literal -1/2 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 re) (*.f64 #s(literal -1/2 binary64) re))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 re re))) |
(+.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/8 binary64)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))))) (pow.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))) |
(*.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))) |
(*.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))) |
(/.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 im im) #s(literal 2 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 im im) #s(literal 2 binary64))) #s(literal 8 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 im im) #s(literal 2 binary64))) (-.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 im im) #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 im im))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 4 binary64))) (neg.f64 (-.f64 (*.f64 im im) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 im #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 im im) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 im im) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 im #s(literal 6 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 im im) #s(literal 2 binary64))))) |
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 im #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 im im) #s(literal 2 binary64)))) |
(fma.f64 (exp.f64 (log.f64 im)) (exp.f64 (log.f64 im)) #s(literal 2 binary64)) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 im))) (neg.f64 (neg.f64 (neg.f64 im))) #s(literal 2 binary64)) |
(fma.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)) #s(literal 2 binary64)) |
(fma.f64 (neg.f64 im) (neg.f64 im) #s(literal 2 binary64)) |
(fma.f64 im im #s(literal 2 binary64)) |
(-.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (*.f64 im im) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 im im) #s(literal 2 binary64)))) |
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (neg.f64 im)) (neg.f64 im))) |
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 im) im)) |
(-.f64 #s(literal 2 binary64) (*.f64 im (neg.f64 im))) |
(+.f64 (/.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 im im) #s(literal 2 binary64)))) (/.f64 #s(literal 8 binary64) (-.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 im im) #s(literal 2 binary64))))) |
(+.f64 (*.f64 im im) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (*.f64 im im)) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #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 (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))) |
#s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) re) (*.f64 re #s(literal 1/2 binary64)))) (*.f64 (-.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) re) (*.f64 re #s(literal 1/2 binary64)))) #s(literal 1/8 binary64))) (*.f64 (-.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) re) (*.f64 re #s(literal 1/2 binary64)))) (-.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) re) (*.f64 re #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) re) re))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) re) re) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) re) (*.f64 re #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) re) re) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 (pow.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) re) (*.f64 re #s(literal 1/2 binary64)))))) |
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(/.f64 (*.f64 (fma.f64 #s(literal -1/2985984000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/110592 binary64)) re) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2073600 binary64) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 re re) #s(literal -1/69120 binary64))))) |
(/.f64 (*.f64 re (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2073600 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 re #s(literal 6 binary64)) #s(literal 1/110592 binary64))) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2073600 binary64) (-.f64 #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 #s(literal 1/48 binary64) re (*.f64 re (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)))) |
(fma.f64 re (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) (*.f64 #s(literal 1/48 binary64) re)) |
(fma.f64 re #s(literal 1/48 binary64) (*.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) re)) |
(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 re (*.f64 #s(literal -1/1440 binary64) (*.f64 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 #s(literal 1/48 binary64) re) (*.f64 re (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im)) im) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 im im)) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) (*.f64 im im)) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im)) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im)) |
(*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) im)) |
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 im im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) im))) |
(*.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) |
(*.f64 im (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) |
(*.f64 im (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) im))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/576 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im)) (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/8 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/576 binary64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/13824 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/8 binary64))) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal -1/2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/24 binary64)) (*.f64 re re)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/24 binary64)) (*.f64 re re)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/24 binary64)) (*.f64 re re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/24 binary64)) (*.f64 re re)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64)))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (*.f64 #s(literal 1/24 binary64) re)) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/24 binary64)) (*.f64 re re) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) re) (*.f64 #s(literal 1/24 binary64) re) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 im im) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) (*.f64 im im)) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im)) im (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im)) im (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/24 binary64)) (*.f64 re re))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 im im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/24 binary64)) (*.f64 re re))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/24 binary64)) (*.f64 re re))) |
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/24 binary64)) (*.f64 re re))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/24 binary64)) (*.f64 re re))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) (*.f64 im (*.f64 (*.f64 #s(literal 1/24 binary64) re) re)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) (*.f64 im #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/24 binary64)) (*.f64 re re))) |
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 im im) (*.f64 (*.f64 #s(literal 1/24 binary64) re) re)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/24 binary64)) (*.f64 re re))) |
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/24 binary64) re) re)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/24 binary64)) (*.f64 re re))) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) re) (*.f64 re (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 re re) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/24 binary64)) (*.f64 re re))) |
(fma.f64 re (*.f64 (*.f64 #s(literal 1/24 binary64) re) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64))) |
(fma.f64 im (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) (*.f64 (*.f64 #s(literal 1/24 binary64) re) re)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64))) |
(fma.f64 im (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/24 binary64)) (*.f64 re re))) |
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/24 binary64)) (*.f64 re re)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im))) |
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/24 binary64)) (*.f64 re re)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) (neg.f64 im)) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/24 binary64)) (*.f64 re re))) |
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/24 binary64)) (*.f64 re re)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64))) |
Compiled 30 361 to 2 243 computations (92.6% saved)
26 alts after pruning (19 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 425 | 10 | 435 |
| Fresh | 2 | 9 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 4 | 5 |
| Total | 430 | 26 | 456 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 77.7% | (*.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)))) |
| ✓ | 51.5% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
| 14.6% | (*.f64 (cosh.f64 im) #s(approx (cos re) #s(approx (+ (* (* re re) -1/2) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))))) | |
| 68.8% | (*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))) | |
| 66.0% | (*.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))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) | |
| 57.7% | (*.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)))) | |
| 42.4% | (*.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))) | |
| 38.2% | (*.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))) | |
| 38.8% | (*.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))) | |
| 54.1% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) (*.f64 (*.f64 re re) #s(literal 1/48 binary64))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| ✓ | 56.7% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #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)))) |
| 27.5% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) | |
| ✓ | 51.8% | (*.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)))) |
| 21.2% | (*.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)))) | |
| ✓ | 33.4% | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
| ✓ | 90.0% | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (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))) |
| ✓ | 40.5% | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 re 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))))) |
| 55.0% | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(approx (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* (* 1/24 re) re) -1/2)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) re) re) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)) (*.f64 re 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))))) | |
| 62.2% | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))) | |
| 48.7% | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* (* 1/24 re) re) -1/2))) 1/2) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (*.f64 re 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))))) | |
| 52.5% | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* (* 1/24 re) re) -1/2))) 1/2) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/24 binary64)) re) re)) (*.f64 re 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))))) | |
| 59.0% | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) | |
| 61.5% | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (+ (* 1/24 (* im im)) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64)))) | |
| 22.0% | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (*.f64 (-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) im) im (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) re)) #s(literal 1/2 binary64)) (*.f64 re re))))) | |
| 13.1% | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) im) im) #s(literal 1/2 binary64)) (*.f64 re re))))) | |
| 31.2% | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))))) |
Compiled 2 549 to 916 computations (64.1% 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 #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 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (+ (* 1/24 (* im im)) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.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)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #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 #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)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) (*.f64 (*.f64 re re) #s(literal 1/48 binary64))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) im) im) #s(literal 1/2 binary64)) (*.f64 re re))))) |
(*.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 #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 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.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 #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 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* (* 1/24 re) re) -1/2))) 1/2) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (*.f64 re 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))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* (* 1/24 re) re) -1/2))) 1/2) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/24 binary64)) re) re)) (*.f64 re 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))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (*.f64 (-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) im) im (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) re)) #s(literal 1/2 binary64)) (*.f64 re re))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(approx (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* (* 1/24 re) re) -1/2)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) re) re) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)) (*.f64 re 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))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 re 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))))) |
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 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) #s(approx (+ (* (* re re) -1/2) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))))) |
(*.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re)) (*.f64 im im) (cos.f64 re))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) |
6 calls:
| 38.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 35.0ms | im |
| 10.0ms | re |
| 10.0ms | (cos.f64 re) |
| 9.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | re |
| 100.0% | 1 | im |
| 100.0% | 1 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 100.0% | 1 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 100.0% | 1 | (cos.f64 re) |
| 100.0% | 1 | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
Compiled 25 to 28 computations (-12% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #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 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (+ (* 1/24 (* im im)) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.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)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #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 #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)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) (*.f64 (*.f64 re re) #s(literal 1/48 binary64))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) im) im) #s(literal 1/2 binary64)) (*.f64 re re))))) |
(*.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 #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 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.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 #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 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* (* 1/24 re) re) -1/2))) 1/2) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (*.f64 re 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))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* (* 1/24 re) re) -1/2))) 1/2) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/24 binary64)) re) re)) (*.f64 re 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))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (*.f64 (-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) im) im (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) re)) #s(literal 1/2 binary64)) (*.f64 re re))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(approx (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* (* 1/24 re) re) -1/2)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) re) re) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)) (*.f64 re 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))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 re 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))))) |
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 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) #s(approx (+ (* (* re re) -1/2) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))))) |
(*.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(approx (+ (* (* re re) -1/2) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))))) |
(*.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))) |
6 calls:
| 24.0ms | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 17.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 10.0ms | re |
| 10.0ms | im |
| 9.0ms | (cos.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.6% | 2 | re |
| 96.5% | 4 | im |
| 100.0% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 89.2% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 89.2% | 2 | (cos.f64 re) |
| 90.2% | 2 | (+.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 #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 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (+ (* 1/24 (* im im)) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.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)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #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 #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)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) (*.f64 (*.f64 re re) #s(literal 1/48 binary64))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) im) im) #s(literal 1/2 binary64)) (*.f64 re re))))) |
(*.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 #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 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.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 #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 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* (* 1/24 re) re) -1/2))) 1/2) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (*.f64 re 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))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* (* 1/24 re) re) -1/2))) 1/2) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/24 binary64)) re) re)) (*.f64 re 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))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (*.f64 (-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) im) im (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) re)) #s(literal 1/2 binary64)) (*.f64 re re))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(approx (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* (* 1/24 re) re) -1/2)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) re) re) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)) (*.f64 re 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))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 re 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))))) |
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 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) #s(approx (+ (* (* re re) -1/2) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))))) |
(*.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(approx (+ (* (* re re) -1/2) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))))) |
(*.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:
| 18.0ms | (*.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 #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 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (+ (* 1/24 (* im im)) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.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)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #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 #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)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) (*.f64 (*.f64 re re) #s(literal 1/48 binary64))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) im) im) #s(literal 1/2 binary64)) (*.f64 re re))))) |
(*.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 #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 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.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 #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 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* (* 1/24 re) re) -1/2))) 1/2) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (*.f64 re 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))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* (* 1/24 re) re) -1/2))) 1/2) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/24 binary64)) re) re)) (*.f64 re 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))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (*.f64 (-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) im) im (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) re)) #s(literal 1/2 binary64)) (*.f64 re re))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(approx (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* (* 1/24 re) re) -1/2)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) re) re) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)) (*.f64 re 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))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 re 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))))) |
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 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 (* 1/2 (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 (*.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:
| 10.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 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 #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 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (+ (* 1/24 (* im im)) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.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)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #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 #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)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) (*.f64 (*.f64 re re) #s(literal 1/48 binary64))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) im) im) #s(literal 1/2 binary64)) (*.f64 re re))))) |
(*.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 #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 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.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 #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 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* (* 1/24 re) re) -1/2))) 1/2) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (*.f64 re 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))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* (* 1/24 re) re) -1/2))) 1/2) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/24 binary64)) re) re)) (*.f64 re 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))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (*.f64 (-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) im) im (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) re)) #s(literal 1/2 binary64)) (*.f64 re re))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(approx (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* (* 1/24 re) re) -1/2)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) re) re) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)) (*.f64 re 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))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 re 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))))) |
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))))) |
| Outputs |
|---|
(*.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 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))) |
6 calls:
| 68.0ms | im |
| 21.0ms | (cos.f64 re) |
| 8.0ms | re |
| 8.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 7.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.2% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 81.2% | 2 | (cos.f64 re) |
| 72.8% | 2 | re |
| 68.8% | 1 | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 73.1% | 2 | im |
| 81.2% | 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 #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 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (+ (* 1/24 (* im im)) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.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)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #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 #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)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) (*.f64 (*.f64 re re) #s(literal 1/48 binary64))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) im) im) #s(literal 1/2 binary64)) (*.f64 re re))))) |
(*.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 #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 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.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 #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 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* (* 1/24 re) re) -1/2))) 1/2) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (*.f64 re 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))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* (* 1/24 re) re) -1/2))) 1/2) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/24 binary64)) re) re)) (*.f64 re 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))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (*.f64 (-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) im) im (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) re)) #s(literal 1/2 binary64)) (*.f64 re re))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(approx (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* (* 1/24 re) re) -1/2)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) re) re) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)) (*.f64 re 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))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 re 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))))) |
| Outputs |
|---|
(*.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)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))) |
3 calls:
| 10.0ms | (cos.f64 re) |
| 7.0ms | (*.f64 #s(literal 1/2 binary64) (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 |
|---|---|---|
| 74.6% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 74.6% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 74.6% | 2 | (cos.f64 re) |
Compiled 17 to 18 computations (-5.9% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #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 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (+ (* 1/24 (* im im)) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.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)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #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 #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)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) (*.f64 (*.f64 re re) #s(literal 1/48 binary64))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) im) im) #s(literal 1/2 binary64)) (*.f64 re re))))) |
(*.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 #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 (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 |
|---|
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) im) im) #s(literal 1/2 binary64)) (*.f64 re re))))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))) |
3 calls:
| 36.0ms | (cos.f64 re) |
| 5.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 5.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.2% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 74.2% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 74.2% | 2 | (cos.f64 re) |
Compiled 17 to 18 computations (-5.9% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #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 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (+ (* 1/24 (* im im)) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.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)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #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 #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)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) (*.f64 (*.f64 re re) #s(literal 1/48 binary64))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 re re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
| Outputs |
|---|
(*.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)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))) |
3 calls:
| 8.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 4.0ms | (cos.f64 re) |
| 4.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.5% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 73.5% | 2 | (cos.f64 re) |
| 73.5% | 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 #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 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (+ (* 1/24 (* im im)) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))) |
3 calls:
| 3.0ms | (cos.f64 re) |
| 3.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 3.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.4% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 73.4% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 73.4% | 2 | (cos.f64 re) |
Compiled 17 to 18 computations (-5.9% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #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 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (+ (* 1/24 (* im im)) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) (*.f64 re 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)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (+ (* 1/24 (* im im)) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64)))) |
5 calls:
| 25.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 3.0ms | re |
| 3.0ms | im |
| 3.0ms | (cos.f64 re) |
| 3.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.2% | 2 | re |
| 65.4% | 2 | im |
| 72.7% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 72.7% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 72.7% | 2 | (cos.f64 re) |
Compiled 19 to 22 computations (-15.8% 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 #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 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (+ (* 1/24 (* im im)) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.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)) #s(literal 2 binary64))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (+ (* 1/24 (* im im)) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64)))) |
4 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))) |
| 2.0ms | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.5% | 1 | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 69.0% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 69.0% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 69.0% | 2 | (cos.f64 re) |
Compiled 23 to 24 computations (-4.3% 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 #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 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 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
6 calls:
| 35.0ms | (cos.f64 re) |
| 2.0ms | re |
| 2.0ms | im |
| 2.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 2.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.8% | 1 | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 51.8% | 1 | im |
| 55.9% | 2 | re |
| 59.3% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 59.3% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 59.3% | 2 | (cos.f64 re) |
Compiled 25 to 28 computations (-12% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.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)))) |
4 calls:
| 5.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 2.0ms | 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 |
|---|---|---|
| 51.8% | 1 | re |
| 51.8% | 1 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 51.8% | 1 | (cos.f64 re) |
| 51.8% | 1 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 18 to 20 computations (-11.1% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
| 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 | 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 |
|---|---|---|
| 51.3% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 36.5% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 36.5% | 2 | (cos.f64 re) |
| 51.2% | 2 | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 51.2% | 2 | im |
| 36.5% | 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 | (*.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 | re |
| 1.0ms | im |
| 1.0ms | (cos.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 33.4% | 1 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 33.4% | 1 | (cos.f64 re) |
| 33.4% | 1 | re |
| 33.4% | 1 | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 33.4% | 1 | im |
| 33.4% | 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 | 1.0000000000000733 | 1.0000000000002096 |
| 0.0ms | -inf | -0.9977329098012586 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999999999988 | 1.0 |
| 0.0ms | -inf | -0.9977329098012586 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999999999988 | 1.0 |
| 0.0ms | -inf | -0.9977329098012586 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.02792555026633646 | 0.011263907240463503 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.02792555026633646 | 0.011263907240463503 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.02792555026633646 | 0.011263907240463503 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.02792555026633646 | 0.011263907240463503 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.02792555026633646 | 0.011263907240463503 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.02792555026633646 | 0.011263907240463503 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.02792555026633646 | 0.011263907240463503 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.02792555026633646 | 0.011263907240463503 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000189091305312 | +inf |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 951 |
| 1 | 211 | 951 |
| 2 | 513 | 944 |
| 3 | 1881 | 944 |
| 4 | 6065 | 944 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 (cosh.f64 im) #s(approx (cos re) #s(approx (+ (* (* re re) -1/2) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 4503599627371397/4503599627370496 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) #s(approx (+ (* (* re re) -1/2) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 9007199254740981/9007199254740992 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 (* 1/2 (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)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 9007199254740981/9007199254740992 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 -5764607523034235/288230376151711744 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 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))) |
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 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)))) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) im) im) #s(literal 1/2 binary64)) (*.f64 re re))))) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/288230376151711744 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)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))) |
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))) |
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (+ (* 1/24 (* im im)) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))) |
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (+ (* 1/24 (* im im)) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) |
(*.f64 (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) #s(approx (+ (* (* re re) -1/2) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 4503599627371397/4503599627370496 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) #s(approx (+ (* (* re re) -1/2) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 9007199254740981/9007199254740992 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 (* 1/2 (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)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 9007199254740981/9007199254740992 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 -5764607523034235/288230376151711744 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 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))) |
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 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)))) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (- (* (+ (* -1/48 (* im im)) -1/4) (* im im)) 1/2) (* re re)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) im) im) #s(literal 1/2 binary64)) (*.f64 re re))))) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/288230376151711744 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)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))) |
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))) |
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (- (* 1/48 (* re re)) 1/4) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (+ (* 1/24 (* im im)) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))) |
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (+ (* 1/24 (* im im)) 1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))) |
(*.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 | 51 | 379 |
| 0 | 76 | 371 |
| 1 | 312 | 359 |
| 2 | 2298 | 359 |
| 0 | 8247 | 355 |
| 0 | 190 | 879 |
| 1 | 737 | 797 |
| 2 | 2958 | 759 |
| 0 | 8855 | 684 |
| 0 | 108 | 355 |
| 1 | 408 | 324 |
| 2 | 1700 | 315 |
| 3 | 6893 | 315 |
| 0 | 8192 | 284 |
| 0 | 10 | 25 |
| 0 | 17 | 25 |
| 1 | 57 | 21 |
| 2 | 408 | 19 |
| 3 | 4743 | 19 |
| 0 | 8284 | 19 |
| 0 | 288 | 1683 |
| 1 | 1018 | 1603 |
| 2 | 3842 | 1448 |
| 0 | 8470 | 1350 |
| 0 | 242 | 1124 |
| 1 | 878 | 1072 |
| 2 | 3364 | 1023 |
| 0 | 9004 | 934 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 998 to 917 computations (54.1% saved)
(abs re)
(abs im)
Compiled 1 964 to 330 computations (83.2% saved)
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