
Time bar (total: 8.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 7 to 7 computations (0% saved)
| 953.0ms | 8 256× | 0 | valid |
ival-cos: 222.0ms (52.1% of total)ival-mult: 111.0ms (26.1% of total)ival-exp: 82.0ms (19.3% of total)ival-true: 6.0ms (1.4% of total)ival-assert: 3.0ms (0.7% of total)adjust: 2.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 0 | 0 | - | 0 | - | (cos.f64 im) |
| 0 | 0 | - | 0 | - | re |
| 0 | 0 | - | 0 | - | (exp.f64 re) |
| 0 | 0 | - | 0 | - | im |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 361.0ms | 512× | 0 | valid |
Compiled 31 to 19 computations (38.7% saved)
ival-cos: 11.0ms (51.5% of total)ival-mult: 6.0ms (28.1% of total)ival-exp: 4.0ms (18.7% of total)ival-true: 1.0ms (4.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 29 |
| 1 | 51 | 29 |
| 2 | 138 | 27 |
| 3 | 411 | 27 |
| 4 | 1535 | 27 |
| 0 | 5 | 5 |
| 0 | 8 | 5 |
| 1 | 19 | 5 |
| 2 | 39 | 5 |
| 3 | 85 | 5 |
| 4 | 302 | 5 |
| 5 | 2302 | 5 |
| 0 | 9257 | 5 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
| Outputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(abs im)
Compiled 5 to 5 computations (0% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 5 to 5 computations (0% saved)
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 im) | |
| cost-diff | 0 | (exp.f64 re) | |
| cost-diff | 0 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 11 |
| 0 | 8 | 11 |
| 1 | 19 | 11 |
| 2 | 39 | 11 |
| 3 | 85 | 11 |
| 4 | 302 | 11 |
| 5 | 2302 | 11 |
| 0 | 9257 | 11 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
(exp.f64 re) |
re |
(cos.f64 im) |
im |
| Outputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(exp.f64 re) |
re |
(cos.f64 im) |
im |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (exp.f64 re) | |
| accuracy | 0.0 | (cos.f64 im) | |
| accuracy | 0.01171875 | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 19.0ms | 256× | 0 | valid |
Compiled 13 to 7 computations (46.2% saved)
ival-cos: 5.0ms (55.5% of total)ival-exp: 2.0ms (22.2% of total)ival-mult: 2.0ms (22.2% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
(exp.f64 re) |
(cos.f64 im) |
| Outputs |
|---|
(cos im) |
(+ (cos im) (* re (cos im))) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(* (cos im) (exp re)) |
(exp re) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(+ 1 (* -1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) |
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | re | @ | inf | ((* (exp re) (cos im)) (exp re) (cos im)) |
| 1.0ms | im | @ | 0 | ((* (exp re) (cos im)) (exp re) (cos im)) |
| 1.0ms | re | @ | -inf | ((* (exp re) (cos im)) (exp re) (cos im)) |
| 0.0ms | re | @ | 0 | ((* (exp re) (cos im)) (exp re) (cos im)) |
| 0.0ms | im | @ | inf | ((* (exp re) (cos im)) (exp re) (cos im)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 175 |
| 1 | 237 | 164 |
| 2 | 882 | 160 |
| 3 | 3902 | 156 |
| 0 | 8046 | 136 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(cos im) |
(+ (cos im) (* re (cos im))) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(* (cos im) (exp re)) |
(exp re) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(+ 1 (* -1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) |
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) |
| Outputs |
|---|
(cos im) |
(cos.f64 im) |
(+ (cos im) (* re (cos im))) |
(fma.f64 (cos.f64 im) re (cos.f64 im)) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (cos.f64 im)) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(*.f64 (cos.f64 im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(* (cos im) (exp re)) |
(*.f64 (exp.f64 re) (cos.f64 im)) |
(exp re) |
(exp.f64 re) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) (exp.f64 re)) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(*.f64 (exp.f64 re) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64)))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(*.f64 (exp.f64 re) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(+ 1 (* -1/2 (pow im 2))) |
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) |
(fma.f64 (-.f64 (*.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) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) |
(fma.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64))) (*.f64 im im) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 9 |
| 0 | 8 | 9 |
| 1 | 19 | 9 |
| 2 | 88 | 9 |
| 3 | 649 | 9 |
| 0 | 8589 | 9 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
(exp.f64 re) |
(cos.f64 im) |
| Outputs |
|---|
(*.f64 (*.f64 (exp.f64 re) #s(literal 1 binary64)) (cos.f64 im)) |
(*.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (exp.f64 re))) |
(*.f64 (cos.f64 im) (*.f64 #s(literal 1 binary64) (exp.f64 re))) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(*.f64 (exp.f64 re) (cos.f64 im)) |
(/.f64 (*.f64 (exp.f64 re) (-.f64 (cos.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) im)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 im)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (exp.f64 re) (-.f64 (fma.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)) #s(literal 0 binary64) (cos.f64 im)) (neg.f64 (cos.f64 im)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (cos.f64 im) (*.f64 (exp.f64 re) (-.f64 (sinh.f64 re) (cosh.f64 re)))) (-.f64 (sinh.f64 re) (cosh.f64 re))) |
(/.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (exp.f64 re))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (cos.f64 im) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 re))) |
(/.f64 (*.f64 (cos.f64 im) (neg.f64 (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64))))) (neg.f64 (-.f64 (cosh.f64 (+.f64 re re)) (*.f64 (sinh.f64 re) (cosh.f64 re))))) |
(/.f64 (*.f64 (cos.f64 im) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (cosh.f64 re)))) #s(literal 4 binary64)) |
(/.f64 (*.f64 (cos.f64 im) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (sinh.f64 re)))) #s(literal 4 binary64)) |
(/.f64 (*.f64 (exp.f64 re) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))) (neg.f64 (cos.f64 im))) |
(/.f64 (*.f64 (exp.f64 re) (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (cos.f64 im) (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 re) (sinh.f64 re) (*.f64 (cosh.f64 re) (exp.f64 (neg.f64 re))))) |
(/.f64 (*.f64 (cos.f64 im) (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 re re)) (*.f64 (sinh.f64 re) (cosh.f64 re)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64))) (cos.f64 im)) (-.f64 (cosh.f64 (+.f64 re re)) (*.f64 (sinh.f64 re) (cosh.f64 re)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (exp.f64 re)) (*.f64 #s(literal 0 binary64) (exp.f64 re))) (*.f64 (*.f64 (cos.f64 im) (exp.f64 re)) (*.f64 (cos.f64 im) (exp.f64 re)))) (-.f64 (*.f64 #s(literal 0 binary64) (exp.f64 re)) (*.f64 (cos.f64 im) (exp.f64 re)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 re) #s(literal 0 binary64)) (*.f64 (exp.f64 re) #s(literal 0 binary64))) (*.f64 (*.f64 (cos.f64 im) (exp.f64 re)) (*.f64 (cos.f64 im) (exp.f64 re)))) (-.f64 (*.f64 (exp.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 im) (exp.f64 re)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 im) (sinh.f64 re)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 im) (cosh.f64 re)) #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 im) (sinh.f64 re)) (*.f64 (cos.f64 im) (cosh.f64 re)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 im) (cosh.f64 re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 im) (cosh.f64 re)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 im) (sinh.f64 re)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 im) (cosh.f64 re)) (*.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (exp.f64 re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (exp.f64 re)) (*.f64 #s(literal 0 binary64) (exp.f64 re)) (-.f64 (*.f64 (*.f64 (cos.f64 im) (exp.f64 re)) (*.f64 (cos.f64 im) (exp.f64 re))) (*.f64 (*.f64 #s(literal 0 binary64) (exp.f64 re)) (*.f64 (cos.f64 im) (exp.f64 re)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 re) #s(literal 0 binary64)) (*.f64 (exp.f64 re) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 im) (exp.f64 re)) (*.f64 (cos.f64 im) (exp.f64 re))) (*.f64 (*.f64 (exp.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 im) (exp.f64 re)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 im) (sinh.f64 re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 im) (cosh.f64 re)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 im) (sinh.f64 re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 im) (cosh.f64 re)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 im) (sinh.f64 re)) (*.f64 (cos.f64 im) (cosh.f64 re)))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (cos.f64 im) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (sinh.f64 re) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (cos.f64 im) (*.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (cosh.f64 re))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (sinh.f64 re) (*.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (cosh.f64 re))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (cos.f64 im))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (cosh.f64 re) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (cos.f64 im))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im) (*.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (sinh.f64 re))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (cosh.f64 re) (*.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (sinh.f64 re))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64))) (cos.f64 im))) (neg.f64 (-.f64 (cosh.f64 (+.f64 re re)) (*.f64 (sinh.f64 re) (cosh.f64 re))))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 im) (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64))))) (neg.f64 (-.f64 (cosh.f64 (+.f64 re re)) (*.f64 (sinh.f64 re) (cosh.f64 re))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 im) (exp.f64 re)) (*.f64 (cos.f64 im) (exp.f64 (neg.f64 re))))) (neg.f64 (*.f64 (cos.f64 im) (exp.f64 (neg.f64 re))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 im) (cosh.f64 re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 im) (sinh.f64 re)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 im) (cosh.f64 re)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 im) (sinh.f64 re)) (-.f64 (*.f64 (cos.f64 im) (sinh.f64 re)) (*.f64 (cos.f64 im) (cosh.f64 re))))))) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) im)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 im))) (*.f64 (exp.f64 re) (-.f64 (sinh.f64 re) (cosh.f64 re)))) (*.f64 #s(literal 2 binary64) (-.f64 (sinh.f64 re) (cosh.f64 re)))) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) im)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 im))) (*.f64 #s(literal 2 binary64) (exp.f64 re))) #s(literal 4 binary64)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) im)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 im))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 re)))) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) im)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 im))) (neg.f64 (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (cosh.f64 (+.f64 re re)) (*.f64 (sinh.f64 re) (cosh.f64 re)))))) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) im)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (cosh.f64 re)))) #s(literal 8 binary64)) |
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(cos.f64 im) |
(+.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im) (*.f64 im im)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im) (*.f64 im im))))) (*.f64 (cos.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im) (*.f64 im im)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im) (*.f64 im im)))))) |
(+.f64 (cos.f64 im) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im)))) |
(+.f64 (cos.f64 im) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (neg.f64 (cos.f64 im))) #s(literal 1 binary64))) |
(+.f64 #s(literal 0 binary64) (cos.f64 im)) |
Compiled 6 367 to 865 computations (86.4% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 298 | 9 | 307 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 298 | 10 | 308 |
| Status | Accuracy | Program |
|---|---|---|
| 51.9% | (/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 re) #s(literal 0 binary64)) (*.f64 (exp.f64 re) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 im) (exp.f64 re)) (*.f64 (cos.f64 im) (exp.f64 re))) (*.f64 (*.f64 (exp.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 im) (exp.f64 re)))))) | |
| ▶ | 100.0% | (/.f64 (cos.f64 im) (exp.f64 (neg.f64 re))) |
| ✓ | 100.0% | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 63.8% | (*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) | |
| ▶ | 65.4% | (*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
| ▶ | 68.9% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) |
| 66.0% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) | |
| 52.7% | (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) | |
| ▶ | 52.7% | #s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im))) |
| ▶ | 51.3% | #s(approx (* (exp re) (cos im)) (cos.f64 im)) |
Compiled 285 to 185 computations (35.1% saved)
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 im) | |
| cost-diff | 0 | (fma.f64 (cos.f64 im) re (cos.f64 im)) | |
| cost-diff | 0 | #s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) | |
| cost-diff | 0 | (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (exp.f64 re) | |
| cost-diff | 0 | (*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (cos.f64 im) | |
| cost-diff | 0 | #s(approx (* (exp re) (cos im)) (cos.f64 im)) | |
| cost-diff | 0 | (neg.f64 re) | |
| cost-diff | 0 | (exp.f64 (neg.f64 re)) | |
| cost-diff | 0 | (cos.f64 im) | |
| cost-diff | 1 | (/.f64 (cos.f64 im) (exp.f64 (neg.f64 re))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 141 |
| 0 | 45 | 141 |
| 1 | 80 | 141 |
| 2 | 182 | 140 |
| 3 | 547 | 140 |
| 4 | 1725 | 140 |
| 0 | 8236 | 140 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (cos.f64 im) (exp.f64 (neg.f64 re))) |
(cos.f64 im) |
im |
(exp.f64 (neg.f64 re)) |
(neg.f64 re) |
re |
#s(approx (* (exp re) (cos im)) (cos.f64 im)) |
(cos.f64 im) |
im |
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(exp.f64 re) |
re |
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 im im) |
im |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) |
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
re |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(cos.f64 im) |
im |
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im))) |
(fma.f64 (cos.f64 im) re (cos.f64 im)) |
(cos.f64 im) |
im |
re |
| Outputs |
|---|
(/.f64 (cos.f64 im) (exp.f64 (neg.f64 re))) |
(*.f64 (exp.f64 re) (cos.f64 im)) |
(cos.f64 im) |
im |
(exp.f64 (neg.f64 re)) |
(neg.f64 re) |
re |
#s(approx (* (exp re) (cos im)) (cos.f64 im)) |
(cos.f64 im) |
im |
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))) (exp.f64 re)) |
(exp.f64 re) |
re |
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(*.f64 im im) |
im |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) |
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
re |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(cos.f64 im) |
im |
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im))) |
#s(approx (* (exp re) (cos im)) (fma.f64 re (cos.f64 im) (cos.f64 im))) |
(fma.f64 (cos.f64 im) re (cos.f64 im)) |
(fma.f64 re (cos.f64 im) (cos.f64 im)) |
(cos.f64 im) |
im |
re |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (cos.f64 im) | |
| accuracy | 0.02734375 | (fma.f64 (cos.f64 im) re (cos.f64 im)) | |
| accuracy | 14.715886549312096 | #s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im))) | |
| accuracy | 0.01953125 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) | |
| accuracy | 0.01953125 | (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) | |
| accuracy | 0.07421875 | (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) | |
| accuracy | 14.24277781365394 | #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) | |
| accuracy | 0.0 | (*.f64 im im) | |
| accuracy | 0.0 | (exp.f64 re) | |
| accuracy | 0.01171875 | (*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| accuracy | 20.938262622599147 | #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (cos.f64 im) | |
| accuracy | 15.185412408003819 | #s(approx (* (exp re) (cos im)) (cos.f64 im)) | |
| accuracy | 0.0 | (neg.f64 re) | |
| accuracy | 0.0 | (exp.f64 (neg.f64 re)) | |
| accuracy | 0.0 | (cos.f64 im) | |
| accuracy | 0.0078125 | (/.f64 (cos.f64 im) (exp.f64 (neg.f64 re))) |
| 52.0ms | 190× | 0 | valid |
| 15.0ms | 66× | 0 | exit |
Compiled 105 to 25 computations (76.2% saved)
ival-add: 23.0ms (46.7% of total)ival-mult: 10.0ms (20.3% of total)ival-cos: 6.0ms (12.2% of total)ival-exp: 4.0ms (8.1% of total)const: 4.0ms (8.1% of total)ival-div: 1.0ms (2% of total)ival-neg: 1.0ms (2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (cos.f64 im) (exp.f64 (neg.f64 re))) |
(cos.f64 im) |
(exp.f64 (neg.f64 re)) |
(neg.f64 re) |
#s(approx (* (exp re) (cos im)) (cos.f64 im)) |
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(exp.f64 re) |
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) |
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) |
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im))) |
(fma.f64 (cos.f64 im) re (cos.f64 im)) |
(*.f64 im im) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
| Outputs |
|---|
(cos im) |
(+ (cos im) (* re (cos im))) |
(+ (cos im) (* re (- (* -1 (* re (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im))))) |
(+ (cos im) (* re (- (* re (- (* -1 (* re (+ (cos im) (+ (* -1 (cos im)) (* -1/6 (cos im)))))) (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im))))) |
1 |
(+ 1 (* -1 re)) |
(+ 1 (* re (- (* 1/2 re) 1))) |
(+ 1 (* re (- (* re (+ 1/2 (* -1/6 re))) 1))) |
(* -1 re) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(+ 1 (* 1/2 re)) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
1/2 |
(+ 1/2 (* 1/6 re)) |
(/ (cos im) (exp (neg re))) |
(exp (neg re)) |
(* (cos im) (exp re)) |
(exp re) |
(* 1/6 (pow re 3)) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3)))))) |
(* 1/6 (pow re 2)) |
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(* re (cos im)) |
(* re (+ (cos im) (/ (cos im) re))) |
(* 1/6 re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(/ (cos im) (exp (* -1 re))) |
(exp (* -1 re)) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) |
(* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re))))) |
(/ 1 (exp (neg re))) |
(+ (* -1/2 (/ (pow im 2) (exp (neg re)))) (/ 1 (exp (neg re)))) |
(+ (* (pow im 2) (- (* 1/24 (/ (pow im 2) (exp (neg re)))) (* 1/2 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))) |
(+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/720 (/ (pow im 2) (exp (neg re)))) (* 1/24 (/ 1 (exp (neg re)))))) (* 1/2 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))) |
(+ 1 (* -1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) |
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(+ 1 (+ re (* (pow im 2) (- (* -1/2 re) 1/2)))) |
(+ 1 (+ re (* (pow im 2) (- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (* 1/24 re)))) 1/2)))) |
(+ 1 (+ re (* (pow im 2) (- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (+ (* 1/24 re) (* (pow im 2) (- (* -1/720 re) 1/720)))))) 1/2)))) |
(pow im 2) |
(* -1/2 (pow im 2)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 39.0ms | re | @ | inf | ((/ (cos im) (exp (neg re))) (cos im) (exp (neg re)) (neg re) (* (exp re) (cos im)) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (* im im) (+ (* 1/6 re) 1/2)) |
| 2.0ms | re | @ | -inf | ((/ (cos im) (exp (neg re))) (cos im) (exp (neg re)) (neg re) (* (exp re) (cos im)) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (* im im) (+ (* 1/6 re) 1/2)) |
| 2.0ms | im | @ | 0 | ((/ (cos im) (exp (neg re))) (cos im) (exp (neg re)) (neg re) (* (exp re) (cos im)) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (* im im) (+ (* 1/6 re) 1/2)) |
| 2.0ms | re | @ | 0 | ((/ (cos im) (exp (neg re))) (cos im) (exp (neg re)) (neg re) (* (exp re) (cos im)) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (* im im) (+ (* 1/6 re) 1/2)) |
| 1.0ms | im | @ | inf | ((/ (cos im) (exp (neg re))) (cos im) (exp (neg re)) (neg re) (* (exp re) (cos im)) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (* im im) (+ (* 1/6 re) 1/2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 184 | 585 |
| 1 | 624 | 538 |
| 2 | 2311 | 516 |
| 3 | 7386 | 513 |
| 0 | 8037 | 457 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(cos im) |
(+ (cos im) (* re (cos im))) |
(+ (cos im) (* re (- (* -1 (* re (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im))))) |
(+ (cos im) (* re (- (* re (- (* -1 (* re (+ (cos im) (+ (* -1 (cos im)) (* -1/6 (cos im)))))) (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im))))) |
1 |
(+ 1 (* -1 re)) |
(+ 1 (* re (- (* 1/2 re) 1))) |
(+ 1 (* re (- (* re (+ 1/2 (* -1/6 re))) 1))) |
(* -1 re) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(+ 1 (* 1/2 re)) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
1/2 |
(+ 1/2 (* 1/6 re)) |
(/ (cos im) (exp (neg re))) |
(exp (neg re)) |
(* (cos im) (exp re)) |
(exp re) |
(* 1/6 (pow re 3)) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3)))))) |
(* 1/6 (pow re 2)) |
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(* re (cos im)) |
(* re (+ (cos im) (/ (cos im) re))) |
(* 1/6 re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(/ (cos im) (exp (* -1 re))) |
(exp (* -1 re)) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) |
(* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re))))) |
(/ 1 (exp (neg re))) |
(+ (* -1/2 (/ (pow im 2) (exp (neg re)))) (/ 1 (exp (neg re)))) |
(+ (* (pow im 2) (- (* 1/24 (/ (pow im 2) (exp (neg re)))) (* 1/2 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))) |
(+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/720 (/ (pow im 2) (exp (neg re)))) (* 1/24 (/ 1 (exp (neg re)))))) (* 1/2 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))) |
(+ 1 (* -1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) |
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(+ 1 (+ re (* (pow im 2) (- (* -1/2 re) 1/2)))) |
(+ 1 (+ re (* (pow im 2) (- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (* 1/24 re)))) 1/2)))) |
(+ 1 (+ re (* (pow im 2) (- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (+ (* 1/24 re) (* (pow im 2) (- (* -1/720 re) 1/720)))))) 1/2)))) |
(pow im 2) |
(* -1/2 (pow im 2)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) |
| Outputs |
|---|
(cos im) |
(cos.f64 im) |
(+ (cos im) (* re (cos im))) |
(fma.f64 (cos.f64 im) re (cos.f64 im)) |
(+ (cos im) (* re (- (* -1 (* re (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im))))) |
(*.f64 (cos.f64 im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(+ (cos im) (* re (- (* re (- (* -1 (* re (+ (cos im) (+ (* -1 (cos im)) (* -1/6 (cos im)))))) (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 re) (*.f64 #s(literal -1/6 binary64) (cos.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))) re (cos.f64 im)) re (cos.f64 im)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 re)) |
(-.f64 #s(literal 1 binary64) re) |
(+ 1 (* re (- (* 1/2 re) 1))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(+ 1 (* re (- (* re (+ 1/2 (* -1/6 re))) 1))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(* -1 re) |
(neg.f64 re) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(*.f64 (cos.f64 im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(fma.f64 (*.f64 (cos.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (cos.f64 im)) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(+ 1 (* 1/2 re)) |
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 re)) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
(/ (cos im) (exp (neg re))) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(exp (neg re)) |
(exp.f64 (neg.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(exp re) |
(exp.f64 re) |
(* 1/6 (pow re 3)) |
(*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re)) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) re) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(* 1/6 (pow re 2)) |
(*.f64 (*.f64 re re) #s(literal 1/6 binary64)) |
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) |
(* re (cos im)) |
(*.f64 (cos.f64 im) re) |
(* re (+ (cos im) (/ (cos im) re))) |
(fma.f64 (cos.f64 im) re (cos.f64 im)) |
(* 1/6 re) |
(*.f64 #s(literal 1/6 binary64) re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
(/ (cos im) (exp (* -1 re))) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(exp (* -1 re)) |
(exp.f64 (neg.f64 re)) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) |
(*.f64 (pow.f64 (neg.f64 re) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) re) #s(literal -1/2 binary64)) re) #s(literal 1/6 binary64))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) |
(*.f64 (pow.f64 (neg.f64 re) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) re) #s(literal -1 binary64)) re) #s(literal -1/2 binary64)) re) #s(literal 1/6 binary64))) |
(* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re))))) |
(fma.f64 (cos.f64 im) re (cos.f64 im)) |
(/ 1 (exp (neg re))) |
(exp.f64 re) |
(+ (* -1/2 (/ (pow im 2) (exp (neg re)))) (/ 1 (exp (neg re)))) |
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) (exp.f64 re)) |
(+ (* (pow im 2) (- (* 1/24 (/ (pow im 2) (exp (neg re)))) (* 1/2 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (exp.f64 re)) (*.f64 im im) (exp.f64 re)) |
(+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/720 (/ (pow im 2) (exp (neg re)))) (* 1/24 (/ 1 (exp (neg re)))))) (* 1/2 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))) |
(fma.f64 (/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 re))) (*.f64 im im) (exp.f64 re)) |
(+ 1 (* -1/2 (pow im 2))) |
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) |
(fma.f64 (-.f64 (*.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) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) |
(fma.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64))) (*.f64 im im) #s(literal 1 binary64)) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) (exp.f64 re)) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (exp.f64 re)) (*.f64 im im) (exp.f64 re)) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(fma.f64 (/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 re))) (*.f64 im im) (exp.f64 re)) |
(+ 1 (+ re (* (pow im 2) (- (* -1/2 re) 1/2)))) |
(+.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)) (*.f64 im im) re) #s(literal 1 binary64)) |
(+ 1 (+ re (* (pow im 2) (- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (* 1/24 re)))) 1/2)))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)) |
(+ 1 (+ re (* (pow im 2) (- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (+ (* 1/24 re) (* (pow im 2) (- (* -1/720 re) 1/720)))))) 1/2)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)) |
(pow im 2) |
(*.f64 im im) |
(* -1/2 (pow im 2)) |
(*.f64 (*.f64 im im) #s(literal -1/2 binary64)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 121 |
| 0 | 45 | 121 |
| 1 | 144 | 121 |
| 2 | 974 | 121 |
| 0 | 8198 | 121 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (cos.f64 im) (exp.f64 (neg.f64 re))) |
(cos.f64 im) |
(exp.f64 (neg.f64 re)) |
(neg.f64 re) |
#s(approx (* (exp re) (cos im)) (cos.f64 im)) |
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(exp.f64 re) |
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) |
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) |
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im))) |
(fma.f64 (cos.f64 im) re (cos.f64 im)) |
(*.f64 im im) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (cos.f64 im) #s(literal 1 binary64)) (exp.f64 re)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 im)))) (/.f64 #s(literal -1 binary64) (exp.f64 re))) |
(/.f64 (*.f64 (cos.f64 im) (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (*.f64 (cosh.f64 re) (sinh.f64 re)))))) |
(/.f64 (neg.f64 (neg.f64 (cos.f64 im))) (exp.f64 (neg.f64 re))) |
(/.f64 (*.f64 (cos.f64 im) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re)))) |
(/.f64 (neg.f64 (cos.f64 im)) (/.f64 #s(literal -1 binary64) (exp.f64 re))) |
(/.f64 (cos.f64 im) (exp.f64 (neg.f64 re))) |
(neg.f64 (/.f64 (cos.f64 im) (/.f64 #s(literal -1 binary64) (exp.f64 re)))) |
(fma.f64 (/.f64 (cos.f64 im) #s(literal 1 binary64)) (sinh.f64 re) (*.f64 (/.f64 (cos.f64 im) #s(literal 1 binary64)) (cosh.f64 re))) |
(fma.f64 (/.f64 (cos.f64 im) #s(literal 1 binary64)) (cosh.f64 re) (*.f64 (/.f64 (cos.f64 im) #s(literal 1 binary64)) (sinh.f64 re))) |
(fma.f64 (sinh.f64 re) (/.f64 (cos.f64 im) #s(literal 1 binary64)) (*.f64 (cosh.f64 re) (/.f64 (cos.f64 im) #s(literal 1 binary64)))) |
(fma.f64 (cosh.f64 re) (/.f64 (cos.f64 im) #s(literal 1 binary64)) (*.f64 (sinh.f64 re) (/.f64 (cos.f64 im) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (sinh.f64 re) (/.f64 (cos.f64 im) #s(literal 1 binary64))) (*.f64 (cosh.f64 re) (/.f64 (cos.f64 im) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (cosh.f64 re) (/.f64 (cos.f64 im) #s(literal 1 binary64))) (*.f64 (sinh.f64 re) (/.f64 (cos.f64 im) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (/.f64 (cos.f64 im) #s(literal 1 binary64)) (sinh.f64 re)) (*.f64 (/.f64 (cos.f64 im) #s(literal 1 binary64)) (cosh.f64 re))) |
(+.f64 (*.f64 (/.f64 (cos.f64 im) #s(literal 1 binary64)) (cosh.f64 re)) (*.f64 (/.f64 (cos.f64 im) #s(literal 1 binary64)) (sinh.f64 re))) |
(+.f64 (/.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (exp.f64 (neg.f64 re))) (/.f64 (*.f64 (cos.f64 im) #s(literal 1 binary64)) (exp.f64 (neg.f64 re)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (sin.f64 im) #s(literal 0 binary64))) (*.f64 (*.f64 (cos.f64 im) #s(literal 1 binary64)) (*.f64 (cos.f64 im) #s(literal 1 binary64)))) (-.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (cos.f64 im) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (sin.f64 im) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 im) #s(literal 1 binary64)) (*.f64 (cos.f64 im) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (cos.f64 im) #s(literal 1 binary64)))))) |
(fma.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64) (*.f64 (cos.f64 im) #s(literal 1 binary64))) |
(fma.f64 (sin.f64 im) #s(literal 0 binary64) (*.f64 (cos.f64 im) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 #s(literal 0 binary64) (sin.f64 im))) |
(sin.f64 (+.f64 (neg.f64 (neg.f64 im)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)) |
(-.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64))) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 im)))) |
(cos.f64 (neg.f64 (neg.f64 im))) |
(cos.f64 (neg.f64 im)) |
(cos.f64 im) |
(+.f64 (*.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64)) (*.f64 (cos.f64 im) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 0 binary64) (sin.f64 im))) |
(+.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 (cos.f64 im) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (exp.f64 re) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 re) #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 re) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (pow.f64 (cosh.f64 re) #s(literal 2 binary64))) (-.f64 (sinh.f64 (neg.f64 re)) (cosh.f64 re))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (pow.f64 (cosh.f64 re) #s(literal 3 binary64))) (fma.f64 (sinh.f64 re) (sinh.f64 re) (-.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (*.f64 (sinh.f64 (neg.f64 re)) (cosh.f64 re))))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 re)) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 re)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cosh.f64 re) (cosh.f64 re) (*.f64 (sinh.f64 re) (exp.f64 re))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (*.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 re))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 re))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (*.f64 (sinh.f64 re) (exp.f64 re)))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (*.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 re))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 re)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 re)) |
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(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/6 binary64) re) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) re))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 3 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 3 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 3 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) (-.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64)))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 3 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 3 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64)))) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1/8 binary64))) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64)))) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64)))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) re) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) re) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) |
(neg.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64))) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) re)) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) re) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) re) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) re) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) re) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))))) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 3 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 3 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64)))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 re)) #s(literal 1/6 binary64))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)) |
Compiled 12 905 to 1 669 computations (87.1% saved)
18 alts after pruning (15 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 420 | 14 | 434 |
| Fresh | 3 | 1 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 426 | 18 | 444 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 73.8% | (/.f64 (cos.f64 im) (-.f64 (cosh.f64 re) (sinh.f64 re))) |
| 66.4% | (/.f64 (cos.f64 im) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))) | |
| 52.1% | (/.f64 (cos.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) | |
| ✓ | 100.0% | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 24.5% | (*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) | |
| ✓ | 68.9% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) |
| ▶ | 46.5% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
| 44.3% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| 66.0% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) | |
| ▶ | 43.7% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
| ▶ | 52.7% | (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) |
| 35.1% | (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| 73.4% | #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) | |
| ✓ | 51.3% | #s(approx (* (exp re) (cos im)) (cos.f64 im)) |
| 35.7% | #s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) | |
| 36.9% | #s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) | |
| 35.4% | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) | |
| ▶ | 33.3% | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
Compiled 615 to 440 computations (28.5% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 im) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) re) | |
| cost-diff | 0 | #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) | |
| cost-diff | 0 | (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 im im) | |
| cost-diff | 0 | (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (cosh.f64 re) | |
| cost-diff | 0 | (cos.f64 im) | |
| cost-diff | 1 | (/.f64 (cos.f64 im) (-.f64 (cosh.f64 re) (sinh.f64 re))) | |
| cost-diff | 2 | (-.f64 (cosh.f64 re) (sinh.f64 re)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 255 |
| 0 | 63 | 251 |
| 1 | 110 | 251 |
| 2 | 249 | 251 |
| 3 | 711 | 250 |
| 4 | 2799 | 250 |
| 0 | 8997 | 250 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (cos.f64 im) (-.f64 (cosh.f64 re) (sinh.f64 re))) |
(cos.f64 im) |
im |
(-.f64 (cosh.f64 re) (sinh.f64 re)) |
(cosh.f64 re) |
re |
(sinh.f64 re) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 im im) |
im |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
re |
#s(literal 1 binary64) |
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 im im) |
im |
#s(literal -1/2 binary64) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
re |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (cos im) (fma.f64 (-.f64 (*.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 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 im im)) |
#s(literal 1/24 binary64) |
(*.f64 im im) |
im |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) |
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) |
(+.f64 #s(literal 1 binary64) re) |
#s(literal 1 binary64) |
re |
(cos.f64 im) |
im |
| Outputs |
|---|
(/.f64 (cos.f64 im) (-.f64 (cosh.f64 re) (sinh.f64 re))) |
(*.f64 (exp.f64 re) (cos.f64 im)) |
(cos.f64 im) |
im |
(-.f64 (cosh.f64 re) (sinh.f64 re)) |
(exp.f64 (neg.f64 re)) |
(cosh.f64 re) |
re |
(sinh.f64 re) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(*.f64 im im) |
im |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
re |
#s(literal 1 binary64) |
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(*.f64 im im) |
im |
#s(literal -1/2 binary64) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))) |
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
re |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (cos im) (fma.f64 (-.f64 (*.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 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 im im)) |
#s(literal 1/24 binary64) |
(*.f64 im im) |
im |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) |
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) |
(+.f64 #s(literal 1 binary64) re) |
#s(literal 1 binary64) |
re |
(cos.f64 im) |
im |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) re) | |
| accuracy | 0.0 | (cos.f64 im) | |
| accuracy | 0.01171875 | (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) | |
| accuracy | 14.463215022377609 | #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) | |
| accuracy | 0.07421875 | (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) | |
| accuracy | 0.125 | (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) | |
| accuracy | 14.000967252362313 | #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) | |
| accuracy | 20.995422517146586 | #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (*.f64 im im) | |
| accuracy | 0.01171875 | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| accuracy | 14.138617246978008 | #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) | |
| accuracy | 20.938262622599147 | #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 im im) | |
| accuracy | 14.943224908003819 | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| accuracy | 20.938262622599147 | #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (cos.f64 im) | |
| accuracy | 0.0078125 | (/.f64 (cos.f64 im) (-.f64 (cosh.f64 re) (sinh.f64 re))) | |
| accuracy | 0.01171875 | (sinh.f64 re) | |
| accuracy | 0.01953125 | (-.f64 (cosh.f64 re) (sinh.f64 re)) |
| 61.0ms | 189× | 0 | valid |
| 33.0ms | 1× | 5 | exit |
| 16.0ms | 66× | 0 | exit |
Compiled 166 to 34 computations (79.5% saved)
ival-sinh: 30.0ms (32.9% of total)ival-mult: 27.0ms (29.6% of total)ival-add: 9.0ms (9.9% of total)const: 7.0ms (7.7% of total)ival-cos: 6.0ms (6.6% of total)ival-cosh: 5.0ms (5.5% of total)ival-sub: 3.0ms (3.3% of total)ival-exp: 2.0ms (2.2% of total)adjust: 1.0ms (1.1% of total)ival-div: 1.0ms (1.1% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (cosh.f64 re) (sinh.f64 re)) |
(/.f64 (cos.f64 im) (-.f64 (cosh.f64 re) (sinh.f64 re))) |
(cos.f64 im) |
(cosh.f64 re) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 im im) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) |
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) |
(+.f64 #s(literal 1 binary64) re) |
(sinh.f64 re) |
#s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 im im)) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
| Outputs |
|---|
1 |
(+ 1 (* -1 re)) |
(+ 1 (* re (- (* 1/2 re) 1))) |
(+ 1 (* re (- (* re (+ 1/2 (* -1/6 re))) 1))) |
(cos im) |
(+ (cos im) (* re (cos im))) |
(+ (cos im) (* re (- (* -1 (* re (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im))))) |
(+ (cos im) (* re (- (* re (- (* -1 (* re (+ (cos im) (+ (* -1 (cos im)) (* -1/6 (cos im)))))) (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im))))) |
(+ 1 (* 1/2 (pow re 2))) |
(+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2))))) |
(+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2))))))) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(+ 1 (* 1/2 re)) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
re |
(* re (+ 1 (* 1/6 (pow re 2)))) |
(* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2)))))) |
(* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2)))))))) |
1/2 |
(+ 1/2 (* 1/6 re)) |
(- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))) |
(/ (cos im) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))) |
(* 1/2 (+ (exp re) (/ 1 (exp re)))) |
(* (cos im) (exp re)) |
(exp re) |
(* 1/2 (pow re 2)) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(* 1/2 re) |
(* re (+ 1/2 (/ 1 re))) |
(* 1/6 (pow re 3)) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3)))))) |
(* 1/6 (pow re 2)) |
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(* re (+ 1 (/ 1 re))) |
(* 1/2 (- (exp re) (/ 1 (exp re)))) |
(* 1/6 re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) |
(/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))) |
(+ (* -1/2 (/ (pow im 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) |
(+ (* (pow im 2) (- (* 1/24 (/ (pow im 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/2 (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))) (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) |
(+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/720 (/ (pow im 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/24 (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))) (* 1/2 (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))) (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) |
(+ 1 (* -1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) |
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(pow im 2) |
(* 1/24 (pow im 2)) |
(* -1/2 (pow im 2)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | re | @ | inf | ((- (cosh re) (sinh re)) (/ (cos im) (- (cosh re) (sinh re))) (cos im) (cosh re) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (cos im)) (exp re) (+ 1 re) (sinh re) (cos im) (* 1/24 (* im im)) (+ (* 1/6 re) 1/2)) |
| 4.0ms | im | @ | 0 | ((- (cosh re) (sinh re)) (/ (cos im) (- (cosh re) (sinh re))) (cos im) (cosh re) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (cos im)) (exp re) (+ 1 re) (sinh re) (cos im) (* 1/24 (* im im)) (+ (* 1/6 re) 1/2)) |
| 4.0ms | re | @ | -inf | ((- (cosh re) (sinh re)) (/ (cos im) (- (cosh re) (sinh re))) (cos im) (cosh re) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (cos im)) (exp re) (+ 1 re) (sinh re) (cos im) (* 1/24 (* im im)) (+ (* 1/6 re) 1/2)) |
| 3.0ms | im | @ | inf | ((- (cosh re) (sinh re)) (/ (cos im) (- (cosh re) (sinh re))) (cos im) (cosh re) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (cos im)) (exp re) (+ 1 re) (sinh re) (cos im) (* 1/24 (* im im)) (+ (* 1/6 re) 1/2)) |
| 2.0ms | im | @ | -inf | ((- (cosh re) (sinh re)) (/ (cos im) (- (cosh re) (sinh re))) (cos im) (cosh re) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (cos im)) (exp re) (+ 1 re) (sinh re) (cos im) (* 1/24 (* im im)) (+ (* 1/6 re) 1/2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 188 | 766 |
| 1 | 676 | 696 |
| 2 | 2491 | 654 |
| 3 | 7826 | 654 |
| 0 | 8021 | 590 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1 re)) |
(+ 1 (* re (- (* 1/2 re) 1))) |
(+ 1 (* re (- (* re (+ 1/2 (* -1/6 re))) 1))) |
(cos im) |
(+ (cos im) (* re (cos im))) |
(+ (cos im) (* re (- (* -1 (* re (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im))))) |
(+ (cos im) (* re (- (* re (- (* -1 (* re (+ (cos im) (+ (* -1 (cos im)) (* -1/6 (cos im)))))) (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im))))) |
(+ 1 (* 1/2 (pow re 2))) |
(+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2))))) |
(+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2))))))) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(+ 1 (* 1/2 re)) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
re |
(* re (+ 1 (* 1/6 (pow re 2)))) |
(* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2)))))) |
(* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2)))))))) |
1/2 |
(+ 1/2 (* 1/6 re)) |
(- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))) |
(/ (cos im) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))) |
(* 1/2 (+ (exp re) (/ 1 (exp re)))) |
(* (cos im) (exp re)) |
(exp re) |
(* 1/2 (pow re 2)) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(* 1/2 re) |
(* re (+ 1/2 (/ 1 re))) |
(* 1/6 (pow re 3)) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3)))))) |
(* 1/6 (pow re 2)) |
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(* re (+ 1 (/ 1 re))) |
(* 1/2 (- (exp re) (/ 1 (exp re)))) |
(* 1/6 re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) |
(/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))) |
(+ (* -1/2 (/ (pow im 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) |
(+ (* (pow im 2) (- (* 1/24 (/ (pow im 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/2 (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))) (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) |
(+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/720 (/ (pow im 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/24 (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))) (* 1/2 (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))) (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) |
(+ 1 (* -1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) |
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(pow im 2) |
(* 1/24 (pow im 2)) |
(* -1/2 (pow im 2)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 re)) |
(-.f64 #s(literal 1 binary64) re) |
(+ 1 (* re (- (* 1/2 re) 1))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(+ 1 (* re (- (* re (+ 1/2 (* -1/6 re))) 1))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(cos im) |
(cos.f64 im) |
(+ (cos im) (* re (cos im))) |
(fma.f64 (cos.f64 im) re (cos.f64 im)) |
(+ (cos im) (* re (- (* -1 (* re (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im))))) |
(*.f64 (cos.f64 im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(+ (cos im) (* re (- (* re (- (* -1 (* re (+ (cos im) (+ (* -1 (cos im)) (* -1/6 (cos im)))))) (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 re) (*.f64 #s(literal -1/6 binary64) (cos.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))) re (cos.f64 im)) re (cos.f64 im)) |
(+ 1 (* 1/2 (pow re 2))) |
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(*.f64 (cos.f64 im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(fma.f64 (*.f64 (cos.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (cos.f64 im)) |
(+ 1 re) |
(-.f64 re #s(literal -1 binary64)) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(+ 1 (* 1/2 re)) |
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) |
re |
(* re (+ 1 (* 1/6 (pow re 2)))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/6 binary64) re) |
(* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2)))))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) |
(* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2)))))))) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal 1/6 binary64)) re) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 re)) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
(- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))) |
(fma.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)) (exp.f64 re)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 re))) |
(/ (cos im) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))) |
(/.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (-.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)) (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re))))) |
(* 1/2 (+ (exp re) (/ 1 (exp re)))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 re))) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(exp re) |
(exp.f64 re) |
(* 1/2 (pow re 2)) |
(*.f64 (*.f64 re re) #s(literal 1/2 binary64)) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(* 1/2 re) |
(*.f64 #s(literal 1/2 binary64) re) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) |
(* 1/6 (pow re 3)) |
(*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(* 1/6 (pow re 2)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) re) re) |
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) |
(* re (+ 1 (/ 1 re))) |
(-.f64 re #s(literal -1 binary64)) |
(* 1/2 (- (exp re) (/ 1 (exp re)))) |
(*.f64 (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re))) #s(literal 1/2 binary64)) |
(* 1/6 re) |
(*.f64 #s(literal 1/6 binary64) re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) |
(*.f64 (pow.f64 (neg.f64 re) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) re) #s(literal -1/2 binary64)) re) #s(literal 1/6 binary64))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) |
(*.f64 (pow.f64 (neg.f64 re) #s(literal 3 binary64)) (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64)) re) #s(literal 1/2 binary64))) re) #s(literal 1/6 binary64))) |
(/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))) |
(/.f64 #s(literal 2 binary64) (-.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)) (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re))))) |
(+ (* -1/2 (/ (pow im 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) |
(/.f64 (fma.f64 (*.f64 im im) #s(literal -1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)) (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re))))) |
(+ (* (pow im 2) (- (* 1/24 (/ (pow im 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/2 (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))) (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (fma.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)) (exp.f64 re)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 re)))) (*.f64 im im) (/.f64 #s(literal 2 binary64) (-.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)) (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re)))))) |
(+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/720 (/ (pow im 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/24 (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))) (* 1/2 (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))) (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) |
(fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 im im) #s(literal -1/360 binary64) #s(literal 1/12 binary64)) (-.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)) (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re))))) (*.f64 im im)) (*.f64 im im) (/.f64 (fma.f64 (*.f64 im im) #s(literal -1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)) (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re)))))) |
(+ 1 (* -1/2 (pow im 2))) |
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) |
(fma.f64 (-.f64 (*.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) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) |
(fma.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 im im) #s(literal 1 binary64)) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) (exp.f64 re)) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(fma.f64 (*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 im im) (exp.f64 re)) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (exp.f64 re) (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) (exp.f64 re))) |
(pow im 2) |
(*.f64 im im) |
(* 1/24 (pow im 2)) |
(*.f64 (*.f64 im im) #s(literal 1/24 binary64)) |
(* -1/2 (pow im 2)) |
(*.f64 (*.f64 im im) #s(literal -1/2 binary64)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 194 |
| 0 | 63 | 190 |
| 1 | 224 | 190 |
| 2 | 1593 | 190 |
| 0 | 8243 | 190 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (cosh.f64 re) (sinh.f64 re)) |
(/.f64 (cos.f64 im) (-.f64 (cosh.f64 re) (sinh.f64 re))) |
(cos.f64 im) |
(cosh.f64 re) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 im im) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) |
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) |
(+.f64 #s(literal 1 binary64) re) |
(sinh.f64 re) |
#s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 im im)) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
| Outputs |
|---|
(pow.f64 (exp.f64 re) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 re)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (*.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (sinh.f64 re) (exp.f64 re) (pow.f64 (cosh.f64 re) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re))))) #s(literal -4 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (exp.f64 re)) (*.f64 (exp.f64 re) (pow.f64 (sinh.f64 re) #s(literal 2 binary64)))) (pow.f64 (exp.f64 re) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (fma.f64 (sinh.f64 re) (exp.f64 re) (pow.f64 (cosh.f64 re) #s(literal 2 binary64)))) (*.f64 (fma.f64 (sinh.f64 re) (exp.f64 re) (pow.f64 (cosh.f64 re) #s(literal 2 binary64))) (pow.f64 (sinh.f64 re) #s(literal 3 binary64)))) (*.f64 (fma.f64 (sinh.f64 re) (exp.f64 re) (pow.f64 (cosh.f64 re) #s(literal 2 binary64))) (fma.f64 (sinh.f64 re) (exp.f64 re) (pow.f64 (cosh.f64 re) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal -2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 re))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 re) (exp.f64 re) (pow.f64 (cosh.f64 re) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (sinh.f64 re) (exp.f64 re) (pow.f64 (cosh.f64 re) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 re)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 re)) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 4 binary64))) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (exp.f64 re)) (/.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (exp.f64 re))) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (fma.f64 (sinh.f64 re) (exp.f64 re) (pow.f64 (cosh.f64 re) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (fma.f64 (sinh.f64 re) (exp.f64 re) (pow.f64 (cosh.f64 re) #s(literal 2 binary64))))) |
(-.f64 (cosh.f64 re) (sinh.f64 re)) |
(exp.f64 (neg.f64 re)) |
(+.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re))) |
(*.f64 (/.f64 (cos.f64 im) #s(literal 1 binary64)) (exp.f64 re)) |
(*.f64 (/.f64 (cos.f64 im) (-.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 re) (exp.f64 re) (pow.f64 (cosh.f64 re) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 im)))) (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 re))))) |
(/.f64 (*.f64 (cos.f64 im) (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (*.f64 (sinh.f64 re) (cosh.f64 re)))))) |
(/.f64 (*.f64 (cos.f64 im) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (cos.f64 im) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re))))) #s(literal 4 binary64)) |
(/.f64 (*.f64 (cos.f64 im) (-.f64 (pow.f64 (cosh.f64 re) #s(literal 4 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (exp.f64 re)) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (-.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (*.f64 (sinh.f64 re) (exp.f64 re))))) |
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(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re #s(literal 1/12 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re #s(literal 1/12 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) re)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 re) #s(literal 1/6 binary64))) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re #s(literal 1/12 binary64))))) (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re #s(literal 1/12 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re #s(literal 1/12 binary64)))))) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64)))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)) |
Compiled 15 176 to 1 970 computations (87% saved)
26 alts after pruning (20 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 472 | 13 | 485 |
| Fresh | 3 | 7 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 477 | 26 | 503 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 73.9% | (/.f64 (cos.f64 im) (-.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (sinh.f64 re))) |
| 66.4% | (/.f64 (cos.f64 im) #s(approx (- (cosh re) (sinh re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))) | |
| 52.1% | (/.f64 (cos.f64 im) #s(approx (- (cosh re) (sinh re)) (-.f64 #s(literal 1 binary64) re))) | |
| ✓ | 100.0% | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 24.5% | (*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) | |
| ✓ | 68.9% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) |
| 44.3% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| 46.5% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) | |
| 66.0% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) | |
| 45.2% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) | |
| ✓ | 43.7% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
| 35.1% | (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| ✓ | 52.7% | (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) |
| 36.9% | (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) | |
| 18.6% | (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) | |
| 18.6% | (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) | |
| ▶ | 16.2% | (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
| 16.1% | (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| 73.4% | #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) | |
| ✓ | 51.3% | #s(approx (* (exp re) (cos im)) (cos.f64 im)) |
| ▶ | 35.7% | #s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
| ▶ | 36.9% | #s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
| 35.4% | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) | |
| ✓ | 33.3% | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
| 28.1% | #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im)))) | |
| ▶ | 11.2% | #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
Compiled 1 119 to 785 computations (29.8% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)) | |
| cost-diff | 0 | #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))) | |
| cost-diff | 0 | #s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)) | |
| cost-diff | 0 | #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))) | |
| cost-diff | 0 | #s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) | |
| cost-diff | 0 | #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) | |
| cost-diff | 0 | (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))) | |
| cost-diff | 0 | #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) | |
| cost-diff | 0 | #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (sinh.f64 re)) | |
| cost-diff | 0 | (cos.f64 im) | |
| cost-diff | 0 | (/.f64 (cos.f64 im) (-.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (sinh.f64 re))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 574 |
| 0 | 96 | 574 |
| 1 | 177 | 570 |
| 2 | 507 | 570 |
| 3 | 2353 | 570 |
| 0 | 8264 | 567 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (cos.f64 im) (-.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (sinh.f64 re))) |
(cos.f64 im) |
im |
(-.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (sinh.f64 re)) |
#s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 re re) |
re |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(sinh.f64 re) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
#s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))) |
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 im im) #s(literal -1/2 binary64)) |
(*.f64 im im) |
im |
#s(literal -1/2 binary64) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) |
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) |
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
re |
#s(literal 1 binary64) |
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 im im) |
im |
#s(literal -1/2 binary64) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) |
(fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
re |
im |
(-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) re) |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
(*.f64 im im) |
(+.f64 #s(literal 1 binary64) re) |
#s(literal 1 binary64) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)) |
(fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) |
(*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) |
(-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) |
(*.f64 #s(literal -1/720 binary64) re) |
#s(literal -1/720 binary64) |
re |
#s(literal 1/720 binary64) |
im |
(fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 im im) |
(-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) re) |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
(+.f64 #s(literal 1 binary64) re) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (cos.f64 im) (-.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (sinh.f64 re))) |
(/.f64 (cos.f64 im) (-.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (sinh.f64 re))) |
(cos.f64 im) |
im |
(-.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (sinh.f64 re)) |
(-.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (sinh.f64 re)) |
#s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) |
#s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 re re) |
re |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(sinh.f64 re) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
#s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))) |
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 im im) #s(literal -1/2 binary64)) |
(*.f64 im im) |
im |
#s(literal -1/2 binary64) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)))) |
#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) |
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) |
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
re |
#s(literal 1 binary64) |
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 im im) |
im |
#s(literal -1/2 binary64) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) im) im (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))) |
#s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) im) im (+.f64 #s(literal 1 binary64) re))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) im) im (+.f64 #s(literal 1 binary64) re)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) |
(fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
re |
im |
(-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) re) |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
(*.f64 im im) |
(+.f64 #s(literal 1 binary64) re) |
#s(literal 1 binary64) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) (*.f64 im im) (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))) |
#s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) (*.f64 im im) (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) (*.f64 im im) (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)) |
(fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) (*.f64 im im) (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) (*.f64 im im) (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) |
(*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) |
(-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) |
(*.f64 #s(literal -1/720 binary64) re) |
#s(literal -1/720 binary64) |
re |
#s(literal 1/720 binary64) |
im |
(fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 im im) |
(-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) re) |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
(+.f64 #s(literal 1 binary64) re) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12109375 | (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) | |
| accuracy | 0.15234375 | (*.f64 #s(literal -1/720 binary64) re) | |
| accuracy | 14.473826835259336 | #s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) | |
| accuracy | 20.99117942183384 | #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))) | |
| accuracy | 0.08984375 | (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) | |
| accuracy | 0.234375 | (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) | |
| accuracy | 14.473826835259336 | #s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) | |
| accuracy | 20.93253571895036 | #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))) | |
| accuracy | 0.01171875 | (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| accuracy | 14.138617246978008 | #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) | |
| accuracy | 20.938262622599147 | #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 32.39789498152519 | #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) | |
| accuracy | 0.00390625 | (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) | |
| accuracy | 14.943224908003819 | #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) | |
| accuracy | 20.938262622599147 | #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))) | |
| accuracy | 25.61167104464082 | #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) | |
| accuracy | 0.01953125 | (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) | |
| accuracy | 0.01953125 | (-.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (sinh.f64 re)) | |
| accuracy | 0.2506407206887773 | (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) | |
| accuracy | 2.6383289474089375 | #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) |
| 110.0ms | 189× | 0 | valid |
| 79.0ms | 66× | 0 | exit |
| 7.0ms | 1× | 5 | exit |
Compiled 347 to 52 computations (85% saved)
ival-mult: 82.0ms (54.5% of total)const: 30.0ms (19.9% of total)ival-add: 15.0ms (10% of total)ival-cos: 6.0ms (4% of total)ival-cosh: 5.0ms (3.3% of total)ival-sub: 3.0ms (2% of total)ival-sinh: 3.0ms (2% of total)ival-exp: 2.0ms (1.3% of total)adjust: 1.0ms (0.7% of total)ival-div: 1.0ms (0.7% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (cos.f64 im) (-.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (sinh.f64 re))) |
(cos.f64 im) |
(-.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (sinh.f64 re)) |
#s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
#s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))) |
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 im im) #s(literal -1/2 binary64)) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) |
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)) |
(fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) |
(fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) |
(*.f64 #s(literal -1/720 binary64) re) |
(*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) |
| Outputs |
|---|
(cos im) |
(+ (cos im) (* re (cos im))) |
(+ (cos im) (* re (- (* -1 (* re (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im))))) |
(+ (cos im) (* re (- (* re (- (* -1 (* re (+ (cos im) (+ (* -1 (cos im)) (* -1/6 (cos im)))))) (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im))))) |
1 |
(+ 1 (* -1 re)) |
(+ 1 (* re (- (* 1/2 re) 1))) |
(+ 1 (* re (- (* re (+ 1/2 (* -1/6 re))) 1))) |
(+ 1 (* 1/2 (pow re 2))) |
(+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2))))) |
(+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2))))))) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
re |
(* re (+ 1 (* 1/2 re))) |
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) |
(+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) |
(- (* 1/24 (pow im 2)) 1/2) |
(- (+ (* 1/24 (pow im 2)) (* re (- (* 1/24 (pow im 2)) 1/2))) 1/2) |
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) |
(+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))) (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))) |
(- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2) |
(- (+ (* re (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2))))) 1/2) |
1/24 |
(+ 1/24 (* 1/720 (pow re 2))) |
1/2 |
(+ 1/2 (* 1/24 (pow re 2))) |
(+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2))))) |
(* 1/24 im) |
(+ (* 1/24 im) (* 1/24 (* im re))) |
(+ 1/24 (* 1/24 re)) |
(* -1/720 re) |
(* -1/720 im) |
(+ (* -1/720 im) (* -1/720 (* im re))) |
(/ (cos im) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))) |
(- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))) |
(* 1/2 (+ (exp re) (/ 1 (exp re)))) |
(* (cos im) (exp re)) |
(exp re) |
(* 1/2 (pow re 2)) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(* re (cos im)) |
(* re (+ (cos im) (/ (cos im) re))) |
(* re (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) |
(* re (+ 1 (+ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) (+ (/ 1 re) (/ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) re))))) |
(* re (- (* 1/24 (pow im 2)) 1/2)) |
(* re (- (+ (* 1/24 (/ (pow im 2) re)) (* 1/24 (pow im 2))) (+ 1/2 (* 1/2 (/ 1 re))))) |
(* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))) |
(* re (+ 1 (+ (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) (+ (/ 1 re) (/ (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) re))))) |
(* re (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) |
(* re (- (+ (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) (/ (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) re)) (+ 1/2 (* 1/2 (/ 1 re))))) |
(* 1/720 (pow re 2)) |
(* (pow re 2) (+ 1/720 (* 1/24 (/ 1 (pow re 2))))) |
(* 1/720 (pow re 4)) |
(* (pow re 4) (+ 1/720 (* 1/24 (/ 1 (pow re 2))))) |
(* (pow re 4) (+ 1/720 (+ (/ 1/2 (pow re 4)) (* 1/24 (/ 1 (pow re 2)))))) |
(* 1/24 (* im re)) |
(* re (+ (* 1/24 im) (* 1/24 (/ im re)))) |
(* 1/24 re) |
(* re (+ 1/24 (* 1/24 (/ 1 re)))) |
(* -1/720 (* im re)) |
(* re (+ (* -1/720 im) (* -1/720 (/ im re)))) |
(* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re))))) |
(* -1 (* re (- (* (pow im 2) (+ 1/2 (* -1/24 (pow im 2)))) 1))) |
(* -1 (* re (- (+ (* -1 (/ (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) re)) (* (pow im 2) (+ 1/2 (* -1/24 (pow im 2))))) 1))) |
(* -1 (* re (+ 1/2 (* -1/24 (pow im 2))))) |
(* -1 (* re (+ 1/2 (+ (* -1 (/ (- (* 1/24 (pow im 2)) 1/2) re)) (* -1/24 (pow im 2)))))) |
(* -1 (* re (- (* (pow im 2) (+ 1/2 (* (pow im 2) (- (* 1/720 (pow im 2)) 1/24)))) 1))) |
(* -1 (* re (- (+ (* -1 (/ (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) re)) (* (pow im 2) (+ 1/2 (* (pow im 2) (- (* 1/720 (pow im 2)) 1/24))))) 1))) |
(* -1 (* re (+ 1/2 (* (pow im 2) (- (* 1/720 (pow im 2)) 1/24))))) |
(* -1 (* re (+ 1/2 (+ (* -1 (/ (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2) re)) (* (pow im 2) (- (* 1/720 (pow im 2)) 1/24)))))) |
(* -1 (* re (+ (* -1/24 im) (* -1/24 (/ im re))))) |
(* -1 (* re (+ (* 1/720 im) (* 1/720 (/ im re))))) |
(/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))) |
(+ (* -1/2 (/ (pow im 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) |
(+ (* (pow im 2) (- (* 1/24 (/ (pow im 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/2 (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))) (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) |
(+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/720 (/ (pow im 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/24 (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))) (* 1/2 (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))) (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) |
(+ 1 (* -1/2 (pow im 2))) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(* -1/2 (pow im 2)) |
(+ 1 (+ re (* (pow im 2) (- (* -1/2 re) 1/2)))) |
(+ 1 (+ re (* (pow im 2) (- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (* 1/24 re)))) 1/2)))) |
(+ 1 (+ re (* (pow im 2) (- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (+ (* 1/24 re) (* (pow im 2) (- (* -1/720 re) 1/720)))))) 1/2)))) |
(- (* -1/2 re) 1/2) |
(- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (* 1/24 re)))) 1/2) |
(- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (+ (* 1/24 re) (* (pow im 2) (- (* -1/720 re) 1/720)))))) 1/2) |
(* im (+ 1/24 (* 1/24 re))) |
(* im (- (* -1/720 re) 1/720)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) |
(* (pow im 4) (+ 1/24 (* 1/24 re))) |
(* (pow im 4) (- (+ 1/24 (+ (* -1/2 (/ re (pow im 2))) (* 1/24 re))) (* 1/2 (/ 1 (pow im 2))))) |
(* (pow im 4) (- (+ 1/24 (+ (* -1/2 (/ re (pow im 2))) (+ (* 1/24 re) (+ (/ 1 (pow im 4)) (/ re (pow im 4)))))) (* 1/2 (/ 1 (pow im 2))))) |
(* (pow im 2) (+ 1/24 (* 1/24 re))) |
(* (pow im 2) (- (+ 1/24 (+ (* -1/2 (/ re (pow im 2))) (* 1/24 re))) (* 1/2 (/ 1 (pow im 2))))) |
(* (pow im 6) (- (* -1/720 re) 1/720)) |
(* (pow im 6) (- (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (* 1/24 (/ 1 (pow im 2))))) 1/720)) |
(* (pow im 6) (- (+ (* -1/2 (/ re (pow im 4))) (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (* 1/24 (/ 1 (pow im 2)))))) (+ 1/720 (/ 1/2 (pow im 4))))) |
(* (pow im 6) (- (+ (* -1/2 (/ re (pow im 4))) (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (+ (* 1/24 (/ 1 (pow im 2))) (+ (/ 1 (pow im 6)) (/ re (pow im 6))))))) (+ 1/720 (/ 1/2 (pow im 4))))) |
(* (pow im 4) (- (* -1/720 re) 1/720)) |
(* (pow im 4) (- (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (* 1/24 (/ 1 (pow im 2))))) 1/720)) |
(* (pow im 4) (- (+ (* -1/2 (/ re (pow im 4))) (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (* 1/24 (/ 1 (pow im 2)))))) (+ 1/720 (/ 1/2 (pow im 4))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | re | @ | 0 | ((/ (cos im) (- (cosh re) (sinh re))) (cos im) (- (cosh re) (sinh re)) (cosh re) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (+ (* 1/2 re) 1) re) (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (+ (* 1/720 (* re re)) 1/24) (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) (cos im) (* (+ (* 1/24 re) 1/24) im) (+ (* 1/24 re) 1/24) (* -1/720 re) (* (- (* -1/720 re) 1/720) im)) |
| 5.0ms | re | @ | -inf | ((/ (cos im) (- (cosh re) (sinh re))) (cos im) (- (cosh re) (sinh re)) (cosh re) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (+ (* 1/2 re) 1) re) (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (+ (* 1/720 (* re re)) 1/24) (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) (cos im) (* (+ (* 1/24 re) 1/24) im) (+ (* 1/24 re) 1/24) (* -1/720 re) (* (- (* -1/720 re) 1/720) im)) |
| 5.0ms | re | @ | inf | ((/ (cos im) (- (cosh re) (sinh re))) (cos im) (- (cosh re) (sinh re)) (cosh re) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (+ (* 1/2 re) 1) re) (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (+ (* 1/720 (* re re)) 1/24) (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) (cos im) (* (+ (* 1/24 re) 1/24) im) (+ (* 1/24 re) 1/24) (* -1/720 re) (* (- (* -1/720 re) 1/720) im)) |
| 4.0ms | im | @ | inf | ((/ (cos im) (- (cosh re) (sinh re))) (cos im) (- (cosh re) (sinh re)) (cosh re) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (+ (* 1/2 re) 1) re) (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (+ (* 1/720 (* re re)) 1/24) (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) (cos im) (* (+ (* 1/24 re) 1/24) im) (+ (* 1/24 re) 1/24) (* -1/720 re) (* (- (* -1/720 re) 1/720) im)) |
| 4.0ms | im | @ | -inf | ((/ (cos im) (- (cosh re) (sinh re))) (cos im) (- (cosh re) (sinh re)) (cosh re) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (+ (* 1/2 re) 1) re) (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (+ (* 1/720 (* re re)) 1/24) (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) (cos im) (* (+ (* 1/24 re) 1/24) im) (+ (* 1/24 re) 1/24) (* -1/720 re) (* (- (* -1/720 re) 1/720) im)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 333 | 1672 |
| 1 | 1142 | 1578 |
| 2 | 4222 | 1464 |
| 0 | 8798 | 1348 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(cos im) |
(+ (cos im) (* re (cos im))) |
(+ (cos im) (* re (- (* -1 (* re (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im))))) |
(+ (cos im) (* re (- (* re (- (* -1 (* re (+ (cos im) (+ (* -1 (cos im)) (* -1/6 (cos im)))))) (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im))))) |
1 |
(+ 1 (* -1 re)) |
(+ 1 (* re (- (* 1/2 re) 1))) |
(+ 1 (* re (- (* re (+ 1/2 (* -1/6 re))) 1))) |
(+ 1 (* 1/2 (pow re 2))) |
(+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2))))) |
(+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2))))))) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
re |
(* re (+ 1 (* 1/2 re))) |
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) |
(+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) |
(- (* 1/24 (pow im 2)) 1/2) |
(- (+ (* 1/24 (pow im 2)) (* re (- (* 1/24 (pow im 2)) 1/2))) 1/2) |
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) |
(+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))) (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))) |
(- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2) |
(- (+ (* re (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2))))) 1/2) |
1/24 |
(+ 1/24 (* 1/720 (pow re 2))) |
1/2 |
(+ 1/2 (* 1/24 (pow re 2))) |
(+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2))))) |
(* 1/24 im) |
(+ (* 1/24 im) (* 1/24 (* im re))) |
(+ 1/24 (* 1/24 re)) |
(* -1/720 re) |
(* -1/720 im) |
(+ (* -1/720 im) (* -1/720 (* im re))) |
(/ (cos im) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))) |
(- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))) |
(* 1/2 (+ (exp re) (/ 1 (exp re)))) |
(* (cos im) (exp re)) |
(exp re) |
(* 1/2 (pow re 2)) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(* re (cos im)) |
(* re (+ (cos im) (/ (cos im) re))) |
(* re (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) |
(* re (+ 1 (+ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) (+ (/ 1 re) (/ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) re))))) |
(* re (- (* 1/24 (pow im 2)) 1/2)) |
(* re (- (+ (* 1/24 (/ (pow im 2) re)) (* 1/24 (pow im 2))) (+ 1/2 (* 1/2 (/ 1 re))))) |
(* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))) |
(* re (+ 1 (+ (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) (+ (/ 1 re) (/ (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) re))))) |
(* re (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) |
(* re (- (+ (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) (/ (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) re)) (+ 1/2 (* 1/2 (/ 1 re))))) |
(* 1/720 (pow re 2)) |
(* (pow re 2) (+ 1/720 (* 1/24 (/ 1 (pow re 2))))) |
(* 1/720 (pow re 4)) |
(* (pow re 4) (+ 1/720 (* 1/24 (/ 1 (pow re 2))))) |
(* (pow re 4) (+ 1/720 (+ (/ 1/2 (pow re 4)) (* 1/24 (/ 1 (pow re 2)))))) |
(* 1/24 (* im re)) |
(* re (+ (* 1/24 im) (* 1/24 (/ im re)))) |
(* 1/24 re) |
(* re (+ 1/24 (* 1/24 (/ 1 re)))) |
(* -1/720 (* im re)) |
(* re (+ (* -1/720 im) (* -1/720 (/ im re)))) |
(* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re))))) |
(* -1 (* re (- (* (pow im 2) (+ 1/2 (* -1/24 (pow im 2)))) 1))) |
(* -1 (* re (- (+ (* -1 (/ (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) re)) (* (pow im 2) (+ 1/2 (* -1/24 (pow im 2))))) 1))) |
(* -1 (* re (+ 1/2 (* -1/24 (pow im 2))))) |
(* -1 (* re (+ 1/2 (+ (* -1 (/ (- (* 1/24 (pow im 2)) 1/2) re)) (* -1/24 (pow im 2)))))) |
(* -1 (* re (- (* (pow im 2) (+ 1/2 (* (pow im 2) (- (* 1/720 (pow im 2)) 1/24)))) 1))) |
(* -1 (* re (- (+ (* -1 (/ (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) re)) (* (pow im 2) (+ 1/2 (* (pow im 2) (- (* 1/720 (pow im 2)) 1/24))))) 1))) |
(* -1 (* re (+ 1/2 (* (pow im 2) (- (* 1/720 (pow im 2)) 1/24))))) |
(* -1 (* re (+ 1/2 (+ (* -1 (/ (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2) re)) (* (pow im 2) (- (* 1/720 (pow im 2)) 1/24)))))) |
(* -1 (* re (+ (* -1/24 im) (* -1/24 (/ im re))))) |
(* -1 (* re (+ (* 1/720 im) (* 1/720 (/ im re))))) |
(/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))) |
(+ (* -1/2 (/ (pow im 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) |
(+ (* (pow im 2) (- (* 1/24 (/ (pow im 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/2 (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))) (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) |
(+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/720 (/ (pow im 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/24 (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))) (* 1/2 (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))) (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) |
(+ 1 (* -1/2 (pow im 2))) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(* -1/2 (pow im 2)) |
(+ 1 (+ re (* (pow im 2) (- (* -1/2 re) 1/2)))) |
(+ 1 (+ re (* (pow im 2) (- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (* 1/24 re)))) 1/2)))) |
(+ 1 (+ re (* (pow im 2) (- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (+ (* 1/24 re) (* (pow im 2) (- (* -1/720 re) 1/720)))))) 1/2)))) |
(- (* -1/2 re) 1/2) |
(- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (* 1/24 re)))) 1/2) |
(- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (+ (* 1/24 re) (* (pow im 2) (- (* -1/720 re) 1/720)))))) 1/2) |
(* im (+ 1/24 (* 1/24 re))) |
(* im (- (* -1/720 re) 1/720)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) |
(* (pow im 4) (+ 1/24 (* 1/24 re))) |
(* (pow im 4) (- (+ 1/24 (+ (* -1/2 (/ re (pow im 2))) (* 1/24 re))) (* 1/2 (/ 1 (pow im 2))))) |
(* (pow im 4) (- (+ 1/24 (+ (* -1/2 (/ re (pow im 2))) (+ (* 1/24 re) (+ (/ 1 (pow im 4)) (/ re (pow im 4)))))) (* 1/2 (/ 1 (pow im 2))))) |
(* (pow im 2) (+ 1/24 (* 1/24 re))) |
(* (pow im 2) (- (+ 1/24 (+ (* -1/2 (/ re (pow im 2))) (* 1/24 re))) (* 1/2 (/ 1 (pow im 2))))) |
(* (pow im 6) (- (* -1/720 re) 1/720)) |
(* (pow im 6) (- (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (* 1/24 (/ 1 (pow im 2))))) 1/720)) |
(* (pow im 6) (- (+ (* -1/2 (/ re (pow im 4))) (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (* 1/24 (/ 1 (pow im 2)))))) (+ 1/720 (/ 1/2 (pow im 4))))) |
(* (pow im 6) (- (+ (* -1/2 (/ re (pow im 4))) (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (+ (* 1/24 (/ 1 (pow im 2))) (+ (/ 1 (pow im 6)) (/ re (pow im 6))))))) (+ 1/720 (/ 1/2 (pow im 4))))) |
(* (pow im 4) (- (* -1/720 re) 1/720)) |
(* (pow im 4) (- (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (* 1/24 (/ 1 (pow im 2))))) 1/720)) |
(* (pow im 4) (- (+ (* -1/2 (/ re (pow im 4))) (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (* 1/24 (/ 1 (pow im 2)))))) (+ 1/720 (/ 1/2 (pow im 4))))) |
| Outputs |
|---|
(cos im) |
(cos.f64 im) |
(+ (cos im) (* re (cos im))) |
(fma.f64 (cos.f64 im) re (cos.f64 im)) |
(+ (cos im) (* re (- (* -1 (* re (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im))))) |
(*.f64 (cos.f64 im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(+ (cos im) (* re (- (* re (- (* -1 (* re (+ (cos im) (+ (* -1 (cos im)) (* -1/6 (cos im)))))) (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 re) (*.f64 #s(literal -1/6 binary64) (cos.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))) re (cos.f64 im)) re (cos.f64 im)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 re)) |
(-.f64 #s(literal 1 binary64) re) |
(+ 1 (* re (- (* 1/2 re) 1))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(+ 1 (* re (- (* re (+ 1/2 (* -1/6 re))) 1))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(+ 1 (* 1/2 (pow re 2))) |
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(*.f64 (cos.f64 im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(fma.f64 (*.f64 (cos.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (cos.f64 im)) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
re |
(* re (+ 1 (* 1/2 re))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) |
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) |
(*.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(- (* 1/24 (pow im 2)) 1/2) |
(-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(- (+ (* 1/24 (pow im 2)) (* re (- (* 1/24 (pow im 2)) 1/2))) 1/2) |
(*.f64 (+.f64 #s(literal 1 binary64) re) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (*.f64 im im) #s(literal 1 binary64)) |
(+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))) (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))) |
(*.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (*.f64 im im) #s(literal 1 binary64))) |
(- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) im) im (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) |
(- (+ (* re (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2))))) 1/2) |
(*.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64)))) |
1/24 |
#s(literal 1/24 binary64) |
(+ 1/24 (* 1/720 (pow re 2))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/24 (pow re 2))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2))))) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(* 1/24 im) |
(*.f64 #s(literal 1/24 binary64) im) |
(+ (* 1/24 im) (* 1/24 (* im re))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) |
(+ 1/24 (* 1/24 re)) |
(fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) |
(* -1/720 re) |
(*.f64 #s(literal -1/720 binary64) re) |
(* -1/720 im) |
(*.f64 #s(literal -1/720 binary64) im) |
(+ (* -1/720 im) (* -1/720 (* im re))) |
(*.f64 (fma.f64 re im im) #s(literal -1/720 binary64)) |
(/ (cos im) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))) |
(/.f64 (/.f64 (cos.f64 im) #s(literal 1/2 binary64)) (-.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)) (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re))))) |
(- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))) |
(*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)) (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re)))) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp re) (/ 1 (exp re)))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 re))) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(exp re) |
(exp.f64 re) |
(* 1/2 (pow re 2)) |
(*.f64 (*.f64 re re) #s(literal 1/2 binary64)) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(* re (cos im)) |
(*.f64 (cos.f64 im) re) |
(* re (+ (cos im) (/ (cos im) re))) |
(*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re) |
(* re (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) |
(* re (+ 1 (+ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) (+ (/ 1 re) (/ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) re))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im (+.f64 (/.f64 im re) im)) (/.f64 #s(literal 1 binary64) re)) re re) |
(* re (- (* 1/24 (pow im 2)) 1/2)) |
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) re) |
(* re (- (+ (* 1/24 (/ (pow im 2) re)) (* 1/24 (pow im 2))) (+ 1/2 (* 1/2 (/ 1 re))))) |
(*.f64 (-.f64 (fma.f64 (*.f64 im (+.f64 (/.f64 im re) im)) #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) re)) #s(literal 1/2 binary64)) re) |
(* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))) |
(fma.f64 (*.f64 re (*.f64 im im)) (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) re) |
(* re (+ 1 (+ (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) (+ (/ 1 re) (/ (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) re))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (*.f64 im (+.f64 (/.f64 im re) im)) (/.f64 #s(literal 1 binary64) re)) re re) |
(* re (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) re) |
(* re (- (+ (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) (/ (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) re)) (+ 1/2 (* 1/2 (/ 1 re))))) |
(*.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im (+.f64 (/.f64 im re) im)) (/.f64 #s(literal -1/2 binary64) re)) #s(literal 1/2 binary64)) re) |
(* 1/720 (pow re 2)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 re re)) |
(* (pow re 2) (+ 1/720 (* 1/24 (/ 1 (pow re 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) |
(* 1/720 (pow re 4)) |
(*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/720 binary64)) |
(* (pow re 4) (+ 1/720 (* 1/24 (/ 1 (pow re 2))))) |
(*.f64 (pow.f64 re #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/720 binary64))) |
(* (pow re 4) (+ 1/720 (+ (/ 1/2 (pow re 4)) (* 1/24 (/ 1 (pow re 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal -1/24 binary64) (*.f64 re re))) (pow.f64 re #s(literal 4 binary64))) |
(* 1/24 (* im re)) |
(*.f64 (*.f64 re im) #s(literal 1/24 binary64)) |
(* re (+ (* 1/24 im) (* 1/24 (/ im re)))) |
(*.f64 (*.f64 (+.f64 (/.f64 im re) im) #s(literal 1/24 binary64)) re) |
(* 1/24 re) |
(*.f64 #s(literal 1/24 binary64) re) |
(* re (+ 1/24 (* 1/24 (/ 1 re)))) |
(fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) |
(* -1/720 (* im re)) |
(*.f64 (*.f64 #s(literal -1/720 binary64) im) re) |
(* re (+ (* -1/720 im) (* -1/720 (/ im re)))) |
(*.f64 (*.f64 (+.f64 (/.f64 im re) im) #s(literal -1/720 binary64)) re) |
(* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re))))) |
(*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re) |
(* -1 (* re (- (* (pow im 2) (+ 1/2 (* -1/24 (pow im 2)))) 1))) |
(*.f64 (neg.f64 re) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/24 binary64)) #s(literal 1 binary64)))) |
(* -1 (* re (- (+ (* -1 (/ (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) re)) (* (pow im 2) (+ 1/2 (* -1/24 (pow im 2))))) 1))) |
(*.f64 (neg.f64 re) (-.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 im) im) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) re) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(* -1 (* re (+ 1/2 (* -1/24 (pow im 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) re) |
(* -1 (* re (+ 1/2 (+ (* -1 (/ (- (* 1/24 (pow im 2)) 1/2) re)) (* -1/24 (pow im 2)))))) |
(*.f64 (neg.f64 re) (fma.f64 (*.f64 #s(literal -1/24 binary64) im) im (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) re)))) |
(* -1 (* re (- (* (pow im 2) (+ 1/2 (* (pow im 2) (- (* 1/720 (pow im 2)) 1/24)))) 1))) |
(*.f64 (neg.f64 re) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im)) #s(literal 1 binary64))) |
(* -1 (* re (- (+ (* -1 (/ (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) re)) (* (pow im 2) (+ 1/2 (* (pow im 2) (- (* 1/720 (pow im 2)) 1/24))))) 1))) |
(*.f64 (neg.f64 re) (-.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (*.f64 im im) #s(literal 1 binary64)) (neg.f64 re))) #s(literal 1 binary64))) |
(* -1 (* re (+ 1/2 (* (pow im 2) (- (* 1/720 (pow im 2)) 1/24))))) |
(*.f64 (neg.f64 re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))) |
(* -1 (* re (+ 1/2 (+ (* -1 (/ (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2) re)) (* (pow im 2) (- (* 1/720 (pow im 2)) 1/24)))))) |
(*.f64 (neg.f64 re) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) im) im (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im #s(literal -1/2 binary64)) re)))) |
(* -1 (* re (+ (* -1/24 im) (* -1/24 (/ im re))))) |
(*.f64 (*.f64 (+.f64 (/.f64 im re) im) #s(literal 1/24 binary64)) re) |
(* -1 (* re (+ (* 1/720 im) (* 1/720 (/ im re))))) |
(*.f64 (*.f64 (+.f64 (/.f64 im re) im) #s(literal -1/720 binary64)) re) |
(/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))) |
(/.f64 #s(literal 2 binary64) (-.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)) (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re))))) |
(+ (* -1/2 (/ (pow im 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) |
(/.f64 (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)) (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re)))) #s(literal 1/2 binary64))) |
(+ (* (pow im 2) (- (* 1/24 (/ (pow im 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/2 (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))) (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) (*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)) (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re)))) #s(literal 1/2 binary64))) (*.f64 im im) (/.f64 #s(literal 2 binary64) (-.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)) (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re)))))) |
(+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/720 (/ (pow im 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/24 (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))) (* 1/2 (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))) (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) |
(fma.f64 (*.f64 im im) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im) (*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)) (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re)))) #s(literal 1/2 binary64))) (/.f64 (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)) (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re)))) #s(literal 1/2 binary64)))) |
(+ 1 (* -1/2 (pow im 2))) |
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) (exp.f64 re)) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(fma.f64 (*.f64 (exp.f64 re) (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64))) (*.f64 im im) (exp.f64 re)) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (exp.f64 re) (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) (exp.f64 re))) |
(* -1/2 (pow im 2)) |
(*.f64 (*.f64 im im) #s(literal -1/2 binary64)) |
(+ 1 (+ re (* (pow im 2) (- (* -1/2 re) 1/2)))) |
(+.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)) (*.f64 im im) re) #s(literal 1 binary64)) |
(+ 1 (+ re (* (pow im 2) (- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (* 1/24 re)))) 1/2)))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)) |
(+ 1 (+ re (* (pow im 2) (- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (+ (* 1/24 re) (* (pow im 2) (- (* -1/720 re) 1/720)))))) 1/2)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 re im im) #s(literal -1/720 binary64)) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)) |
(- (* -1/2 re) 1/2) |
(-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)) |
(- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (* 1/24 re)))) 1/2) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) |
(- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (+ (* 1/24 re) (* (pow im 2) (- (* -1/720 re) 1/720)))))) 1/2) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 re im im) #s(literal -1/720 binary64)) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) |
(* im (+ 1/24 (* 1/24 re))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) |
(* im (- (* -1/720 re) 1/720)) |
(*.f64 (fma.f64 re im im) #s(literal -1/720 binary64)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im) |
(* (pow im 4) (+ 1/24 (* 1/24 re))) |
(*.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) |
(* (pow im 4) (- (+ 1/24 (+ (* -1/2 (/ re (pow im 2))) (* 1/24 re))) (* 1/2 (/ 1 (pow im 2))))) |
(*.f64 (fma.f64 re (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 im im)) #s(literal -1/24 binary64)) (+.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 (/ re (pow im 2))) (+ (* 1/24 re) (+ (/ 1 (pow im 4)) (/ re (pow im 4)))))) (* 1/2 (/ 1 (pow im 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) re) (pow.f64 im #s(literal 4 binary64))) (fma.f64 re (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 im im)) #s(literal -1/24 binary64)) #s(literal 1/24 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (pow.f64 im #s(literal 4 binary64))) |
(* (pow im 2) (+ 1/24 (* 1/24 re))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im) |
(* (pow im 2) (- (+ 1/24 (+ (* -1/2 (/ re (pow im 2))) (* 1/24 re))) (* 1/2 (/ 1 (pow im 2))))) |
(*.f64 (fma.f64 re (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 im im)) #s(literal -1/24 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 im im)) #s(literal 1/24 binary64))) (*.f64 im im)) |
(* (pow im 6) (- (* -1/720 re) 1/720)) |
(*.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64))) |
(* (pow im 6) (- (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (* 1/24 (/ 1 (pow im 2))))) 1/720)) |
(*.f64 (-.f64 (fma.f64 #s(literal -1/720 binary64) re (/.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) (*.f64 im im))) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 6 binary64))) |
(* (pow im 6) (- (+ (* -1/2 (/ re (pow im 4))) (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (* 1/24 (/ 1 (pow im 2)))))) (+ 1/720 (/ 1/2 (pow im 4))))) |
(*.f64 (-.f64 (fma.f64 re (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/720 binary64)) (/.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) (*.f64 im im))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64))) (pow.f64 im #s(literal 6 binary64))) |
(* (pow im 6) (- (+ (* -1/2 (/ re (pow im 4))) (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (+ (* 1/24 (/ 1 (pow im 2))) (+ (/ 1 (pow im 6)) (/ re (pow im 6))))))) (+ 1/720 (/ 1/2 (pow im 4))))) |
(*.f64 (-.f64 (fma.f64 re (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/720 binary64)) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) re) im) (/.f64 #s(literal 1/24 binary64) im) (/.f64 (+.f64 #s(literal 1 binary64) re) (pow.f64 im #s(literal 6 binary64))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64))) (pow.f64 im #s(literal 6 binary64))) |
(* (pow im 4) (- (* -1/720 re) 1/720)) |
(*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64))) |
(* (pow im 4) (- (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (* 1/24 (/ 1 (pow im 2))))) 1/720)) |
(*.f64 (-.f64 (fma.f64 #s(literal -1/720 binary64) re (/.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) (*.f64 im im))) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 4 binary64))) |
(* (pow im 4) (- (+ (* -1/2 (/ re (pow im 4))) (+ (* -1/720 re) (+ (* 1/24 (/ re (pow im 2))) (* 1/24 (/ 1 (pow im 2)))))) (+ 1/720 (/ 1/2 (pow im 4))))) |
(*.f64 (-.f64 (fma.f64 re (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/720 binary64)) (/.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) (*.f64 im im))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64))) (pow.f64 im #s(literal 4 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 460 |
| 0 | 96 | 460 |
| 1 | 378 | 456 |
| 2 | 3095 | 456 |
| 0 | 9169 | 453 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (cos.f64 im) (-.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (sinh.f64 re))) |
(cos.f64 im) |
(-.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (sinh.f64 re)) |
#s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
#s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))) |
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 im im) #s(literal -1/2 binary64)) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) |
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)) |
(fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) |
(fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) |
(*.f64 #s(literal -1/720 binary64) re) |
(*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) |
| Outputs |
|---|
(*.f64 (/.f64 (cos.f64 im) (-.f64 (pow.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (sinh.f64 re) #s(literal 2 binary64)))) (+.f64 (sinh.f64 re) #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (cos.f64 im) (-.f64 (pow.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 re) (+.f64 (sinh.f64 re) #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) (pow.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (cos.f64 im))) (neg.f64 (neg.f64 (-.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (sinh.f64 re))))) |
(/.f64 (neg.f64 (cos.f64 im)) (neg.f64 (-.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (sinh.f64 re)))) |
(/.f64 (cos.f64 im) (-.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (sinh.f64 re))) |
(neg.f64 (/.f64 (neg.f64 (cos.f64 im)) (-.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (sinh.f64 re)))) |
(neg.f64 (/.f64 (cos.f64 im) (neg.f64 (-.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (sinh.f64 re))))) |
(fma.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64) (*.f64 (cos.f64 im) #s(literal 1 binary64))) |
(fma.f64 (sin.f64 im) #s(literal 0 binary64) (*.f64 (cos.f64 im) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 #s(literal 0 binary64) (sin.f64 im))) |
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(/.f64 (fma.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/373248000 binary64)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 re re) #s(literal 1/17280 binary64)))) (*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 re re) #s(literal 1/17280 binary64)))) #s(literal 1/13824 binary64))) (*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 re re) #s(literal 1/17280 binary64)))) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 re re) #s(literal 1/17280 binary64)))))) |
(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 re re) #s(literal 1/720 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/373248000 binary64) #s(literal 1/13824 binary64))) (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 re re) #s(literal 1/17280 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
(/.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/373248000 binary64) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (*.f64 (*.f64 re re) #s(literal 1/17280 binary64))))) |
(/.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/373248000 binary64) #s(literal 1/13824 binary64)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 re re) #s(literal 1/17280 binary64))))) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/720 binary64) (neg.f64 re))) re #s(literal 1/24 binary64)) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/720 binary64) re)) re #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) (neg.f64 re)) (neg.f64 re) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) re) re #s(literal 1/24 binary64)) |
(fma.f64 (neg.f64 re) (*.f64 (neg.f64 re) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) |
(fma.f64 re (fabs.f64 (*.f64 (neg.f64 re) #s(literal 1/720 binary64))) #s(literal 1/24 binary64)) |
(fma.f64 re (fabs.f64 (*.f64 #s(literal 1/720 binary64) re)) #s(literal 1/24 binary64)) |
(fma.f64 re (*.f64 #s(literal 1/720 binary64) re) #s(literal 1/24 binary64)) |
(-.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) |
(-.f64 #s(literal 1/24 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/720 binary64) re)) re)) |
(-.f64 #s(literal 1/24 binary64) (*.f64 (neg.f64 (*.f64 re re)) #s(literal 1/720 binary64))) |
(-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 re re))) |
(+.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/373248000 binary64)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 re re) #s(literal 1/17280 binary64))))) (/.f64 #s(literal 1/13824 binary64) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 re re) #s(literal 1/17280 binary64)))))) |
(+.f64 (*.f64 (*.f64 re re) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 re re) #s(literal 1/720 binary64))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) re) (*.f64 #s(literal 1/2 binary64) re))) (*.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) re) (*.f64 #s(literal 1/2 binary64) re))) #s(literal 1/8 binary64))) (*.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) re) (*.f64 #s(literal 1/2 binary64) re))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) re) (*.f64 #s(literal 1/2 binary64) re))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) re) re))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) re) (*.f64 #s(literal 1/2 binary64) re))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 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 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) re) (*.f64 #s(literal 1/2 binary64) re))))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) re) (*.f64 #s(literal 1/2 binary64) re)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (neg.f64 re)) (neg.f64 re) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) re) re #s(literal 1/2 binary64)) |
(fma.f64 (neg.f64 re) (*.f64 (neg.f64 re) (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 re (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) re) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) re)) re)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 re re))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 re re)) (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) re) (*.f64 #s(literal 1/2 binary64) re)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) re) (*.f64 #s(literal 1/2 binary64) re))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) re) re)) |
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) |
(*.f64 im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 re re)) #s(literal 1/576 binary64)) im) (-.f64 (*.f64 #s(literal 1/24 binary64) re) #s(literal 1/24 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/13824 binary64) #s(literal 1/13824 binary64)) im) (fma.f64 (*.f64 re #s(literal 1/576 binary64)) re (-.f64 #s(literal 1/576 binary64) (*.f64 re #s(literal 1/576 binary64))))) |
(/.f64 (*.f64 im (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 re re)) #s(literal 1/576 binary64))) (-.f64 (*.f64 #s(literal 1/24 binary64) re) #s(literal 1/24 binary64))) |
(/.f64 (*.f64 im (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/13824 binary64) #s(literal 1/13824 binary64))) (fma.f64 (*.f64 re #s(literal 1/576 binary64)) re (-.f64 #s(literal 1/576 binary64) (*.f64 re #s(literal 1/576 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) re) im (*.f64 #s(literal 1/24 binary64) im)) |
(fma.f64 #s(literal 1/24 binary64) im (*.f64 (*.f64 #s(literal 1/24 binary64) re) im)) |
(fma.f64 im (*.f64 #s(literal 1/24 binary64) re) (*.f64 im #s(literal 1/24 binary64))) |
(fma.f64 im #s(literal 1/24 binary64) (*.f64 im (*.f64 #s(literal 1/24 binary64) re))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) im) (*.f64 #s(literal 1/24 binary64) im)) |
(+.f64 (*.f64 #s(literal 1/24 binary64) im) (*.f64 (*.f64 #s(literal 1/24 binary64) re) im)) |
(+.f64 (*.f64 im (*.f64 #s(literal 1/24 binary64) re)) (*.f64 im #s(literal 1/24 binary64))) |
(+.f64 (*.f64 im #s(literal 1/24 binary64)) (*.f64 im (*.f64 #s(literal 1/24 binary64) re))) |
(*.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 1/24 binary64)) |
(/.f64 (fma.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 re #s(literal 1/576 binary64)) re (-.f64 #s(literal 1/576 binary64) (*.f64 re #s(literal 1/576 binary64)))) (*.f64 (fma.f64 (*.f64 re #s(literal 1/576 binary64)) re (-.f64 #s(literal 1/576 binary64) (*.f64 re #s(literal 1/576 binary64)))) #s(literal 1/13824 binary64))) (pow.f64 (fma.f64 (*.f64 re #s(literal 1/576 binary64)) re (-.f64 #s(literal 1/576 binary64) (*.f64 re #s(literal 1/576 binary64)))) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 re re))) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/24 binary64) re))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 re re)) #s(literal 1/576 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) re) #s(literal 1/24 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/13824 binary64) #s(literal 1/13824 binary64))) (neg.f64 (fma.f64 (*.f64 re #s(literal 1/576 binary64)) re (-.f64 #s(literal 1/576 binary64) (*.f64 re #s(literal 1/576 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 re re)) #s(literal 1/576 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) re) #s(literal 1/24 binary64))) |
(/.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/13824 binary64) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 re re)) (*.f64 re #s(literal 1/576 binary64))))) |
(/.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/13824 binary64) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 re #s(literal 1/576 binary64)) re (-.f64 #s(literal 1/576 binary64) (*.f64 re #s(literal 1/576 binary64))))) |
(fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) |
(fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 re re)) (-.f64 (*.f64 #s(literal 1/24 binary64) re) #s(literal 1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) re) #s(literal 1/24 binary64)))) |
(-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/24 binary64) re)) |
(-.f64 #s(literal 1/24 binary64) (*.f64 (neg.f64 re) #s(literal 1/24 binary64))) |
(+.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 re #s(literal 1/576 binary64)) re (-.f64 #s(literal 1/576 binary64) (*.f64 re #s(literal 1/576 binary64))))) (/.f64 #s(literal 1/13824 binary64) (fma.f64 (*.f64 re #s(literal 1/576 binary64)) re (-.f64 #s(literal 1/576 binary64) (*.f64 re #s(literal 1/576 binary64)))))) |
(+.f64 (*.f64 #s(literal 1/24 binary64) re) #s(literal 1/24 binary64)) |
(+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/24 binary64) re)) |
(*.f64 #s(literal -1/720 binary64) re) |
(*.f64 re #s(literal -1/720 binary64)) |
(*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) |
(*.f64 im (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 re re)) #s(literal 1/518400 binary64)) im) (fma.f64 #s(literal -1/720 binary64) re #s(literal 1/720 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/373248000 binary64) (pow.f64 re #s(literal 3 binary64))) #s(literal 1/373248000 binary64)) im) (fma.f64 #s(literal 1/518400 binary64) (*.f64 re re) (fma.f64 re #s(literal -1/518400 binary64) #s(literal 1/518400 binary64)))) |
(/.f64 (*.f64 im (-.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 re re)) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) re #s(literal 1/720 binary64))) |
(/.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/373248000 binary64) (pow.f64 re #s(literal 3 binary64))) #s(literal 1/373248000 binary64))) (fma.f64 #s(literal 1/518400 binary64) (*.f64 re re) (fma.f64 re #s(literal -1/518400 binary64) #s(literal 1/518400 binary64)))) |
Compiled 33 691 to 2 877 computations (91.5% saved)
30 alts after pruning (22 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 515 | 10 | 525 |
| Fresh | 3 | 12 | 15 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 521 | 30 | 551 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 73.9% | (/.f64 (cos.f64 im) (-.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (sinh.f64 re))) |
| 66.4% | (/.f64 (cos.f64 im) #s(approx (- (cosh re) (sinh re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))) | |
| 52.1% | (/.f64 (cos.f64 im) #s(approx (- (cosh re) (sinh re)) (-.f64 #s(literal 1 binary64) re))) | |
| ✓ | 100.0% | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 24.5% | (*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) | |
| ✓ | 68.9% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) |
| 44.3% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| 46.5% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) | |
| 66.0% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) | |
| 45.2% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) | |
| ✓ | 43.7% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
| 35.1% | (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| ✓ | 52.7% | (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) |
| 18.6% | (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) | |
| 1.7% | (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (sqrt.f64 (neg.f64 re)) (sqrt.f64 (neg.f64 re)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) re)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| ✓ | 16.2% | (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
| 16.1% | (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| 73.4% | #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) | |
| ✓ | 51.3% | #s(approx (* (exp re) (cos im)) (cos.f64 im)) |
| 35.7% | #s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) im) im (+.f64 #s(literal 1 binary64) re)))) | |
| 36.9% | #s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) im) im (+.f64 #s(literal 1 binary64) re)))) | |
| 36.2% | #s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) | |
| 36.9% | #s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) re)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) | |
| 36.7% | #s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) | |
| 8.4% | #s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (neg.f64 re) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im)) #s(literal 1 binary64)))))) | |
| 35.4% | #s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) | |
| 9.5% | #s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))) | |
| ✓ | 33.3% | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
| 28.1% | #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im)))) | |
| 11.2% | #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
Compiled 2 074 to 842 computations (59.4% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) re)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) im) im (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (neg.f64 re) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im)) #s(literal 1 binary64)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (sqrt.f64 (neg.f64 re)) (sqrt.f64 (neg.f64 re)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) re)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) im) im (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) (cos.f64 im)) |
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) |
(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) |
(/.f64 (cos.f64 im) #s(approx (- (cosh re) (sinh re)) (-.f64 #s(literal 1 binary64) re))) |
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) |
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))) |
(/.f64 (cos.f64 im) #s(approx (- (cosh re) (sinh re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))) |
(*.f64 (exp.f64 re) (cos.f64 im)) |
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im))) |
(/.f64 (cos.f64 im) (exp.f64 (neg.f64 re))) |
(/.f64 (cos.f64 im) (-.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (sinh.f64 re))) |
(/.f64 (cos.f64 im) (-.f64 (cosh.f64 re) (sinh.f64 re))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 re) #s(literal 0 binary64)) (*.f64 (exp.f64 re) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 im) (exp.f64 re)) (*.f64 (cos.f64 im) (exp.f64 re))) (*.f64 (*.f64 (exp.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 im) (exp.f64 re)))))) |
| Outputs |
|---|
(/.f64 (cos.f64 im) (exp.f64 (neg.f64 re))) |
5 calls:
| 13.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 13.0ms | im |
| 12.0ms | re |
| 11.0ms | (cos.f64 im) |
| 9.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (cos.f64 im) |
| 100.0% | 1 | (exp.f64 re) |
| 100.0% | 1 | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 100.0% | 1 | re |
| 100.0% | 1 | im |
Compiled 11 to 15 computations (-36.4% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) re)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) im) im (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (neg.f64 re) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im)) #s(literal 1 binary64)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (sqrt.f64 (neg.f64 re)) (sqrt.f64 (neg.f64 re)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) re)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) im) im (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) (cos.f64 im)) |
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) |
(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) |
(/.f64 (cos.f64 im) #s(approx (- (cosh re) (sinh re)) (-.f64 #s(literal 1 binary64) re))) |
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) |
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))) |
(/.f64 (cos.f64 im) #s(approx (- (cosh re) (sinh re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))) |
(*.f64 (exp.f64 re) (cos.f64 im)) |
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im))) |
| Outputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
5 calls:
| 42.0ms | im |
| 12.0ms | (exp.f64 re) |
| 11.0ms | re |
| 11.0ms | (cos.f64 im) |
| 9.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (cos.f64 im) |
| 100.0% | 1 | (exp.f64 re) |
| 100.0% | 1 | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 100.0% | 1 | re |
| 100.0% | 1 | im |
Compiled 11 to 15 computations (-36.4% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) re)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) im) im (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (neg.f64 re) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im)) #s(literal 1 binary64)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (sqrt.f64 (neg.f64 re)) (sqrt.f64 (neg.f64 re)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) re)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) im) im (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) (cos.f64 im)) |
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) |
(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) |
(/.f64 (cos.f64 im) #s(approx (- (cosh re) (sinh re)) (-.f64 #s(literal 1 binary64) re))) |
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) |
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))) |
(/.f64 (cos.f64 im) #s(approx (- (cosh re) (sinh re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) |
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) |
(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))) |
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) |
5 calls:
| 33.0ms | (cos.f64 im) |
| 15.0ms | im |
| 11.0ms | re |
| 9.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 8.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.4% | 2 | (cos.f64 im) |
| 93.5% | 3 | (exp.f64 re) |
| 99.7% | 5 | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 97.1% | 4 | re |
| 84.0% | 2 | im |
Compiled 11 to 15 computations (-36.4% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) re)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) im) im (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (neg.f64 re) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im)) #s(literal 1 binary64)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (sqrt.f64 (neg.f64 re)) (sqrt.f64 (neg.f64 re)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) re)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) im) im (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) (cos.f64 im)) |
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) |
(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) |
(/.f64 (cos.f64 im) #s(approx (- (cosh re) (sinh re)) (-.f64 #s(literal 1 binary64) re))) |
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) |
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) |
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) |
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) |
1 calls:
| 9.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 5 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 5 to 5 computations (0% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) re)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) im) im (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (neg.f64 re) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im)) #s(literal 1 binary64)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (sqrt.f64 (neg.f64 re)) (sqrt.f64 (neg.f64 re)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) re)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) im) im (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) (cos.f64 im)) |
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) |
(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) |
(/.f64 (cos.f64 im) #s(approx (- (cosh re) (sinh re)) (-.f64 #s(literal 1 binary64) re))) |
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) |
| Outputs |
|---|
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) |
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) |
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) |
1 calls:
| 8.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 5 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 5 to 5 computations (0% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) re)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) im) im (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (neg.f64 re) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im)) #s(literal 1 binary64)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (sqrt.f64 (neg.f64 re)) (sqrt.f64 (neg.f64 re)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) re)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) im) im (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) (cos.f64 im)) |
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) |
(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) |
(/.f64 (cos.f64 im) #s(approx (- (cosh re) (sinh re)) (-.f64 #s(literal 1 binary64) re))) |
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) |
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) |
(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) |
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) |
1 calls:
| 24.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 5 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 5 to 5 computations (0% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) re)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) im) im (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (neg.f64 re) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im)) #s(literal 1 binary64)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (sqrt.f64 (neg.f64 re)) (sqrt.f64 (neg.f64 re)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) re)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) im) im (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) (cos.f64 im)) |
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) |
(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) |
(/.f64 (cos.f64 im) #s(approx (- (cosh re) (sinh re)) (-.f64 #s(literal 1 binary64) re))) |
| Outputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (neg.f64 re) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im)) #s(literal 1 binary64)))))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) |
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) |
(/.f64 (cos.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) |
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) |
2 calls:
| 9.0ms | re |
| 8.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.1% | 3 | re |
| 98.4% | 5 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 6 to 7 computations (-16.7% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) re)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) im) im (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (neg.f64 re) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im)) #s(literal 1 binary64)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (sqrt.f64 (neg.f64 re)) (sqrt.f64 (neg.f64 re)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) re)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) im) im (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) (cos.f64 im)) |
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) |
| Outputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (neg.f64 re) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im)) #s(literal 1 binary64)))))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) |
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) |
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) |
1 calls:
| 29.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 5 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 5 to 5 computations (0% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) re)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) im) im (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (neg.f64 re) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im)) #s(literal 1 binary64)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (sqrt.f64 (neg.f64 re)) (sqrt.f64 (neg.f64 re)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) re)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) im) im (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) (cos.f64 im)) |
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) |
| Outputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (neg.f64 re) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im)) #s(literal 1 binary64)))))) |
#s(approx (* (exp re) (cos im)) (cos.f64 im)) |
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) |
#s(approx (* (exp re) (cos im)) (cos.f64 im)) |
#s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) |
1 calls:
| 7.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 5 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 5 to 5 computations (0% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) re)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) im) im (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (neg.f64 re) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im)) #s(literal 1 binary64)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (sqrt.f64 (neg.f64 re)) (sqrt.f64 (neg.f64 re)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) re)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) im) im (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) (cos.f64 im)) |
| Outputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (neg.f64 re) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im)) #s(literal 1 binary64)))))) |
#s(approx (* (exp re) (cos im)) (cos.f64 im)) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
#s(approx (* (exp re) (cos im)) (cos.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
5 calls:
| 52.0ms | re |
| 8.0ms | im |
| 8.0ms | (cos.f64 im) |
| 7.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 6.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.9% | 2 | im |
| 63.4% | 3 | (cos.f64 im) |
| 72.4% | 3 | re |
| 72.4% | 3 | (exp.f64 re) |
| 78.6% | 5 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 11 to 15 computations (-36.4% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) re)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) im) im (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (neg.f64 re) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im)) #s(literal 1 binary64)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (sqrt.f64 (neg.f64 re)) (sqrt.f64 (neg.f64 re)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) re)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) im) im (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) im) im (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64))) (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (neg.f64 re) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im)) #s(literal 1 binary64)))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
5 calls:
| 29.0ms | im |
| 13.0ms | re |
| 7.0ms | (cos.f64 im) |
| 7.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 6.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.5% | 1 | im |
| 52.3% | 2 | (cos.f64 im) |
| 52.0% | 2 | (exp.f64 re) |
| 52.0% | 2 | re |
| 58.0% | 3 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 11 to 15 computations (-36.4% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) re)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) im) im (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (neg.f64 re) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im)) #s(literal 1 binary64)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (neg.f64 re) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im)) #s(literal 1 binary64)))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
1 calls:
| 6.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.7% | 3 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 5 to 5 computations (0% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) re)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) im) im (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
1 calls:
| 7.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.8% | 2 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 5 to 5 computations (0% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) re)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) im) im (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
| Outputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
4 calls:
| 5.0ms | re |
| 5.0ms | (cos.f64 im) |
| 5.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 4.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.8% | 2 | (exp.f64 re) |
| 49.8% | 2 | re |
| 51.3% | 3 | (cos.f64 im) |
| 48.3% | 2 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 10 to 13 computations (-30% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) re)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
3 calls:
| 5.0ms | re |
| 5.0ms | (cos.f64 im) |
| 4.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.8% | 3 | (cos.f64 im) |
| 49.3% | 2 | (exp.f64 re) |
| 51.1% | 3 | re |
Compiled 5 to 8 computations (-60% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) re)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
| Outputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) re)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
1 calls:
| 5.0ms | re |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.1% | 3 | re |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
| Outputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
1 calls:
| 4.0ms | re |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.9% | 3 | re |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))) |
| Outputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
1 calls:
| 11.0ms | re |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.3% | 2 | re |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
3 calls:
| 3.0ms | re |
| 3.0ms | (cos.f64 im) |
| 3.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.6% | 2 | (cos.f64 im) |
| 48.9% | 3 | (exp.f64 re) |
| 50.7% | 3 | re |
Compiled 5 to 8 computations (-60% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
1 calls:
| 3.0ms | re |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.3% | 3 | re |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
4 calls:
| 60.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 3.0ms | re |
| 3.0ms | im |
| 2.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.8% | 2 | (exp.f64 re) |
| 37.1% | 2 | im |
| 44.9% | 2 | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 40.8% | 2 | re |
Compiled 9 to 12 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
4 calls:
| 2.0ms | re |
| 2.0ms | (cos.f64 im) |
| 2.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 2.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.6% | 2 | (exp.f64 re) |
| 40.6% | 2 | re |
| 35.1% | 1 | (cos.f64 im) |
| 39.4% | 2 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 10 to 13 computations (-30% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
3 calls:
| 4.0ms | re |
| 1.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 1.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.6% | 2 | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 38.6% | 2 | (exp.f64 re) |
| 38.6% | 2 | re |
Compiled 8 to 10 computations (-25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) |
| Outputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
5 calls:
| 1.0ms | re |
| 1.0ms | im |
| 1.0ms | (cos.f64 im) |
| 1.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 1.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 11.2% | 1 | (cos.f64 im) |
| 11.2% | 1 | im |
| 11.2% | 1 | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 11.2% | 1 | (exp.f64 re) |
| 11.2% | 1 | re |
Compiled 11 to 15 computations (-36.4% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999176287149 | 0.9999999999999987 |
| 0.0ms | -0.0 | 0.030647839733007665 |
| 0.0ms | -0.05447868491381418 | 0.0 |
| 0.0ms | -inf | -0.9350802449025275 |
Compiled 8 to 10 computations (-25% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999176287149 | 0.9999999999999987 |
| 0.0ms | -0.0 | 0.030647839733007665 |
| 0.0ms | -0.05447868491381418 | 0.0 |
| 0.0ms | -inf | -0.9350802449025275 |
Compiled 8 to 10 computations (-25% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999176287149 | 0.9999999999999987 |
| 0.0ms | -0.0 | 0.030647839733007665 |
| 0.0ms | -0.05447868491381418 | 0.0 |
| 0.0ms | -inf | -0.9350802449025275 |
Compiled 8 to 10 computations (-25% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999176287149 | 0.9999999999999987 |
| 0.0ms | -0.0 | 0.030647839733007665 |
| 0.0ms | -0.05447868491381418 | 0.0 |
| 0.0ms | -inf | -0.9350802449025275 |
Compiled 8 to 10 computations (-25% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999176287149 | 0.9999999999999987 |
| 0.0ms | -0.0 | 0.030647839733007665 |
| 0.0ms | -0.05447868491381418 | 0.0 |
| 0.0ms | -inf | -0.9350802449025275 |
Compiled 8 to 10 computations (-25% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999176287149 | 0.9999999999999987 |
| 0.0ms | -0.0 | 0.030647839733007665 |
| 0.0ms | -0.05447868491381418 | 0.0 |
| 0.0ms | -inf | -0.9350802449025275 |
Compiled 8 to 10 computations (-25% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9958608495617355 | 0.9998937172701066 |
| 0.0ms | -0.0 | 0.030647839733007665 |
| 0.0ms | -0.05447868491381418 | 0.0 |
| 0.0ms | -inf | -0.9350802449025275 |
Compiled 8 to 10 computations (-25% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9958608495617355 | 0.9998937172701066 |
| 0.0ms | -0.0 | 0.030647839733007665 |
| 0.0ms | -0.05447868491381418 | 0.0 |
| 0.0ms | -inf | -0.9350802449025275 |
Compiled 8 to 10 computations (-25% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 0.030647839733007665 |
| 0.0ms | -inf | -0.9350802449025275 |
Compiled 8 to 10 computations (-25% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 0.030647839733007665 |
| 0.0ms | -inf | -0.9350802449025275 |
Compiled 8 to 10 computations (-25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 0.030647839733007665 |
Compiled 8 to 10 computations (-25% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 28.0ms | -1183.0562869588066 | -0.017027022314911013 |
| 22.0ms | 144× | 0 | valid |
Compiled 413 to 316 computations (23.5% saved)
ival-exp: 15.0ms (80.7% of total)ival-cos: 3.0ms (16.1% of total)ival-mult: 1.0ms (5.4% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 2.550258633947397e+151 | 2.4273830076251603e+153 |
| 34.0ms | -1183.0562869588066 | -0.017027022314911013 |
| 12.0ms | 208× | 0 | valid |
Compiled 698 to 524 computations (24.9% saved)
ival-cos: 4.0ms (52.3% of total)ival-exp: 2.0ms (26.1% of total)ival-mult: 1.0ms (13.1% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.550258633947397e+151 | 2.4273830076251603e+153 |
| 1.0ms | -1183.0562869588066 | -0.017027022314911013 |
Compiled 1 066 to 748 computations (29.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.550258633947397e+151 | 2.4273830076251603e+153 |
| 1.0ms | -1183.0562869588066 | -0.017027022314911013 |
Compiled 1 066 to 732 computations (31.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | -1183.0562869588066 | -0.017027022314911013 |
| 12.0ms | 128× | 0 | valid |
Compiled 386 to 298 computations (22.8% saved)
ival-cos: 2.0ms (41.4% of total)ival-exp: 1.0ms (20.7% of total)ival-mult: 1.0ms (20.7% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 2.550258633947397e+151 | 2.4273830076251603e+153 |
| 1.0ms | -1183.0562869588066 | -0.017027022314911013 |
| 5.0ms | 96× | 0 | valid |
Compiled 1 106 to 781 computations (29.4% saved)
ival-cos: 2.0ms (58.2% of total)ival-exp: 1.0ms (29.1% of total)ival-mult: 1.0ms (29.1% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.550258633947397e+151 | 2.4273830076251603e+153 |
| 3.0ms | -1183.0562869588066 | -0.017027022314911013 |
Compiled 738 to 557 computations (24.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 0.030647839733007665 |
Compiled 8 to 10 computations (-25% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -1183.0562869588066 | -0.017027022314911013 |
Compiled 350 to 280 computations (20% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -1183.0562869588066 | -0.017027022314911013 |
Compiled 341 to 271 computations (20.5% saved)
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 206 | 1945 |
| 1 | 291 | 1909 |
| 2 | 525 | 1902 |
| 3 | 1720 | 1902 |
| 4 | 6856 | 1902 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (cos.f64 im) (exp.f64 (neg.f64 re))) |
(*.f64 (exp.f64 re) (cos.f64 im)) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007198804381029/9007199254740992 binary64)) (/.f64 (cos.f64 im) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))) #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007198804381029/9007199254740992 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007198804381029/9007199254740992 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007198804381029/9007199254740992 binary64)) (/.f64 (cos.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (neg.f64 re) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im)) #s(literal 1 binary64)))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007198804381029/9007199254740992 binary64)) (/.f64 (cos.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))) #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (neg.f64 re) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im)) #s(literal 1 binary64)))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007198804381029/9007199254740992 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (neg.f64 re) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im)) #s(literal 1 binary64)))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2242792614430507/2251799813685248 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) #s(approx (/ (cos im) (exp (neg re))) (exp.f64 re)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (neg.f64 re) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im)) #s(literal 1 binary64)))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2242792614430507/2251799813685248 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (neg.f64 re) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im)) #s(literal 1 binary64)))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ (* (+ (* (+ (* (* (- (* -1/720 re) 1/720) im) im) (+ (* 1/24 re) 1/24)) (* im im)) (- (* -1/2 re) 1/2)) (* im im)) (+ 1 re)) (*.f64 (neg.f64 re) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) im) im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im)) #s(literal 1 binary64)))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
(if (<=.f64 re #s(literal -3602879701896397/2251799813685248 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(if (<=.f64 re #s(literal -1 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) (if (<=.f64 re #s(literal 1600000000000000074001730174467191584019620358321163015870219635220360860060474414774134718115254802111834599207835049454710363032263068746156032145752064 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(if (<=.f64 re #s(literal -1 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) (if (<=.f64 re #s(literal 1600000000000000074001730174467191584019620358321163015870219635220360860060474414774134718115254802111834599207835049454710363032263068746156032145752064 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) re)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(if (<=.f64 re #s(literal -1 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) (if (<=.f64 re #s(literal 1600000000000000074001730174467191584019620358321163015870219635220360860060474414774134718115254802111834599207835049454710363032263068746156032145752064 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(if (<=.f64 re #s(literal -400 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(if (<=.f64 re #s(literal -1 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) (if (<=.f64 re #s(literal 89999999999999997184945569075953377327595089430721889847742791882891919676095773696907912005363018687356609353310492148507250500409489455039101173497856 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(if (<=.f64 re #s(literal -400 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) (if (<=.f64 re #s(literal 89999999999999997184945569075953377327595089430721889847742791882891919676095773696907912005363018687356609353310492148507250500409489455039101173497856 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
(if (<=.f64 re #s(literal -1 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(if (<=.f64 re #s(literal -400 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
| Outputs |
|---|
(/.f64 (cos.f64 im) (exp.f64 (neg.f64 re))) |
(*.f64 (exp.f64 re) (cos.f64 im)) |
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(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) (if (or (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (not (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007198804381029/9007199254740992 binary64)))) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (/.f64 (cos.f64 im) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))))) |
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(if (<=.f64 re #s(literal -1 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) (if (<=.f64 re #s(literal 1600000000000000074001730174467191584019620358321163015870219635220360860060474414774134718115254802111834599207835049454710363032263068746156032145752064 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(if (<=.f64 re #s(literal -1 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) (if (<=.f64 re #s(literal 1600000000000000074001730174467191584019620358321163015870219635220360860060474414774134718115254802111834599207835049454710363032263068746156032145752064 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) re)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(if (<=.f64 re #s(literal -1 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) (if (<=.f64 re #s(literal 1600000000000000074001730174467191584019620358321163015870219635220360860060474414774134718115254802111834599207835049454710363032263068746156032145752064 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) im) im)) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(if (<=.f64 re #s(literal -400 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(if (<=.f64 re #s(literal -1 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) (if (<=.f64 re #s(literal 89999999999999997184945569075953377327595089430721889847742791882891919676095773696907912005363018687356609353310492148507250500409489455039101173497856 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (fma.f64 #s(approx (+ (* (* (+ (* 1/24 re) 1/24) im) im) (- (* -1/2 re) 1/2)) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 im im) (+.f64 #s(literal 1 binary64) re)))) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(if (<=.f64 re #s(literal -400 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) (if (<=.f64 re #s(literal 89999999999999997184945569075953377327595089430721889847742791882891919676095773696907912005363018687356609353310492148507250500409489455039101173497856 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
(if (<=.f64 re #s(literal -1 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(if (<=.f64 re #s(literal -400 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) im) im)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 188 | 766 |
| 1 | 676 | 696 |
| 2 | 2491 | 654 |
| 3 | 7826 | 654 |
| 0 | 8021 | 590 |
| 0 | 184 | 585 |
| 1 | 624 | 538 |
| 2 | 2311 | 516 |
| 3 | 7386 | 513 |
| 0 | 8037 | 457 |
| 0 | 5 | 9 |
| 0 | 8 | 9 |
| 1 | 19 | 9 |
| 2 | 88 | 9 |
| 3 | 649 | 9 |
| 0 | 8589 | 9 |
| 0 | 64 | 175 |
| 1 | 237 | 164 |
| 2 | 882 | 160 |
| 3 | 3902 | 156 |
| 0 | 8046 | 136 |
| 0 | 333 | 1672 |
| 1 | 1142 | 1578 |
| 2 | 4222 | 1464 |
| 0 | 8798 | 1348 |
| 0 | 59 | 460 |
| 0 | 96 | 460 |
| 1 | 378 | 456 |
| 2 | 3095 | 456 |
| 0 | 9169 | 453 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 911 to 210 computations (89% saved)
(abs im)
Compiled 3 856 to 454 computations (88.2% saved)
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