
Time bar (total: 12.0s)
| 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)
| 793.0ms | 8 256× | 0 | valid |
ival-cos: 328.0ms (58.7% of total)ival-mult: 146.0ms (26.1% of total)ival-exp: 76.0ms (13.6% of total)ival-true: 6.0ms (1.1% of total)ival-assert: 4.0ms (0.7% 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 |
| 45.0ms | 512× | 0 | valid |
Compiled 42 to 24 computations (42.9% saved)
ival-cos: 19.0ms (71.6% of total)ival-exp: 4.0ms (15.1% of total)ival-mult: 3.0ms (11.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 29 |
| 1 | 39 | 29 |
| 2 | 72 | 27 |
| 3 | 108 | 27 |
| 4 | 166 | 27 |
| 5 | 206 | 27 |
| 6 | 250 | 27 |
| 7 | 284 | 27 |
| 8 | 295 | 27 |
| 9 | 295 | 27 |
| 0 | 5 | 5 |
| 0 | 8 | 5 |
| 1 | 9 | 5 |
| 0 | 9 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| 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)
| 1× | egg-herbie |
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 | 9 | 11 |
| 0 | 9 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 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 | 0.00390625 | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 41.0ms | 256× | 0 | valid |
Compiled 24 to 12 computations (50% saved)
ival-mult: 26.0ms (74.3% of total)ival-cos: 6.0ms (17.1% of total)ival-exp: 2.0ms (5.7% of total)ival-true: 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)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 175 |
| 1 | 178 | 164 |
| 2 | 466 | 160 |
| 3 | 1054 | 156 |
| 4 | 1449 | 156 |
| 5 | 1861 | 156 |
| 6 | 2388 | 156 |
| 7 | 2895 | 156 |
| 8 | 3591 | 156 |
| 9 | 5622 | 156 |
| 0 | 8003 | 134 |
| 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 (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)) |
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 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) (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))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) (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 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 9 |
| 0 | 8 | 9 |
| 1 | 9 | 9 |
| 0 | 9 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
(exp.f64 re) |
(cos.f64 im) |
| Outputs |
|---|
(*.f64 (cos.f64 im) (exp.f64 re)) |
(*.f64 (exp.f64 re) (cos.f64 im)) |
(exp.f64 re) |
(cos.f64 im) |
Compiled 250 to 58 computations (76.8% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 14 | 6 | 20 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 14 | 7 | 21 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 57.1% | (*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) | |
| ▶ | 58.4% | (*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
| ▶ | 66.4% | (*.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)) |
| ▶ | 62.3% | (*.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)) |
| ▶ | 48.7% | (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) |
| ▶ | 48.2% | #s(approx (* (exp re) (cos im)) (cos.f64 im)) |
Compiled 155 to 123 computations (20.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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))) (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 | (+.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 | (cos.f64 im) | |
| cost-diff | 0 | #s(approx (* (exp re) (cos im)) (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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 167 |
| 0 | 50 | 167 |
| 1 | 72 | 167 |
| 2 | 95 | 167 |
| 3 | 160 | 167 |
| 4 | 268 | 167 |
| 5 | 319 | 167 |
| 6 | 336 | 167 |
| 0 | 336 | 167 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.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)) (cos.f64 im)) |
(cos.f64 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 |
(*.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 #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 #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) |
(cos.f64 im) |
im |
| Outputs |
|---|
(*.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 (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)))) |
#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)) (cos.f64 im)) |
(cos.f64 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 |
(*.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 #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 #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) |
(cos.f64 im) |
im |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) | |
| accuracy | 0.0 | (cos.f64 im) | |
| accuracy | 0.00390625 | (*.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)) | |
| accuracy | 24.15320855877717 | #s(approx (exp re) (fma.f64 (fma.f64 #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 | 0.00390625 | (*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| accuracy | 34.67434628444474 | #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) re) | |
| accuracy | 0.0 | (cos.f64 im) | |
| accuracy | 0.00390625 | (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) | |
| accuracy | 32.80505012400741 | #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) | |
| accuracy | 0.0 | (cos.f64 im) | |
| accuracy | 33.16944180650865 | #s(approx (* (exp re) (cos im)) (cos.f64 im)) | |
| accuracy | 0.03515625 | (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 | 0.078125 | (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) | |
| accuracy | 0.21484375 | (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) | |
| accuracy | 21.476083771582054 | #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))) |
| 62.0ms | 256× | 0 | valid |
Compiled 283 to 53 computations (81.3% saved)
ival-mult: 27.0ms (58% of total)ival-add: 8.0ms (17.2% of total)ival-cos: 6.0ms (12.9% of total)const: 4.0ms (8.6% of total)ival-exp: 2.0ms (4.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 #s(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)) (cos.f64 im)) |
(cos.f64 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) |
(*.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 #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 #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)) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
(*.f64 im 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)))))) |
(+ 1 (* 1/2 re)) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
1/2 |
(+ 1/2 (* 1/6 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 |
(* re (+ 1 (/ 1 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 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))) |
(+ (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))) |
(pow im 2) |
(* -1/2 (pow im 2)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | re | @ | inf | ((* (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) (* (exp re) (cos im)) (exp re) (+ 1 re) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (+ (* 1/6 re) 1/2) (* im im)) |
| 2.0ms | re | @ | -inf | ((* (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) (* (exp re) (cos im)) (exp re) (+ 1 re) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (+ (* 1/6 re) 1/2) (* im im)) |
| 1.0ms | re | @ | 0 | ((* (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) (* (exp re) (cos im)) (exp re) (+ 1 re) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (+ (* 1/6 re) 1/2) (* im im)) |
| 1.0ms | im | @ | inf | ((* (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) (* (exp re) (cos im)) (exp re) (+ 1 re) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (+ (* 1/6 re) 1/2) (* im im)) |
| 1.0ms | im | @ | -inf | ((* (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) (* (exp re) (cos im)) (exp re) (+ 1 re) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (+ (* 1/6 re) 1/2) (* im im)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 346 |
| 1 | 325 | 331 |
| 2 | 905 | 319 |
| 3 | 3079 | 315 |
| 4 | 6083 | 315 |
| 0 | 8092 | 269 |
| 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)))))) |
(+ 1 (* 1/2 re)) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
1/2 |
(+ 1/2 (* 1/6 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 |
(* re (+ 1 (/ 1 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 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))) |
(+ (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))) |
(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 (+ (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)) |
(+ 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 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 (*.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))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) 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 |
(* re (+ 1 (/ 1 re))) |
(+.f64 #s(literal 1 binary64) re) |
(* 1/2 (pow re 2)) |
(*.f64 (*.f64 re re) #s(literal 1/2 binary64)) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(fma.f64 (*.f64 re re) #s(literal 1/2 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 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))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) |
(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)) |
(+ (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 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #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 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(+ 1 (* -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 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(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)) |
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 144 |
| 0 | 50 | 144 |
| 1 | 151 | 144 |
| 2 | 980 | 144 |
| 0 | 8845 | 144 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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)) (cos.f64 im)) |
(cos.f64 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) |
(*.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 #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 #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)) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
(*.f64 im im) |
| Outputs |
|---|
(*.f64 (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)))) |
(*.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))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (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))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (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(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) 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)))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 re (-.f64 (*.f64 #s(literal 1/36 binary64) re) #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 #s(literal 1/36 binary64) re) re (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) re))))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)))) |
(neg.f64 (/.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 #s(literal 1/36 binary64) re) re (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) re)))))) |
(fma.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.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)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.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 2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)) |
(*.f64 (exp.f64 (log.f64 im)) (exp.f64 (log.f64 im))) |
(*.f64 (*.f64 im im) #s(literal 1 binary64)) |
(*.f64 im (*.f64 im #s(literal 1 binary64))) |
(*.f64 im im) |
(pow.f64 (exp.f64 (log.f64 im)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 im im) #s(literal 1 binary64)) |
(pow.f64 im #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) |
Compiled 12 787 to 2 220 computations (82.6% saved)
15 alts after pruning (9 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 473 | 9 | 482 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 474 | 15 | 489 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (exp.f64 re) (cos.f64 im)) |
| ✓ | 58.4% | (*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
| 26.3% | (*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) | |
| ✓ | 66.4% | (*.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)) |
| ▶ | 34.9% | (*.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))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
| ▶ | 66.4% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 re #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (cos.f64 im)) |
| ✓ | 62.3% | (*.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)) |
| 31.6% | (*.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)))) | |
| ✓ | 48.7% | (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) |
| ▶ | 29.7% | (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
| 24.4% | (*.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)))) | |
| ✓ | 48.2% | #s(approx (* (exp re) (cos im)) (cos.f64 im)) |
| 25.6% | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) | |
| ▶ | 29.0% | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
| ▶ | 22.7% | #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 429 to 306 computations (28.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) | |
| 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)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) | |
| 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 | (fma.f64 re re #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (exp re) (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 re #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) | |
| cost-diff | 0 | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 re #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (cos.f64 im)) | |
| cost-diff | 1536 | (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 re #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 345 |
| 0 | 62 | 361 |
| 1 | 98 | 356 |
| 2 | 153 | 341 |
| 3 | 365 | 321 |
| 4 | 1037 | 321 |
| 5 | 2537 | 321 |
| 0 | 8191 | 321 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 re #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (cos.f64 im)) |
#s(approx (exp re) (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 re #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) |
(fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 re #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re)) |
(fma.f64 re re #s(literal -1 binary64)) |
re |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 re #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(-.f64 re #s(literal 1 binary64)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(cos.f64 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 (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) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 im im) |
im |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) |
(+.f64 #s(literal 1 binary64) re) |
#s(literal 1 binary64) |
re |
#s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 im im) |
im |
#s(literal -1/2 binary64) |
(*.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) (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 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) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 re #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (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)) |
#s(approx (exp re) (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 re #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) |
#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 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 re #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) 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 re re #s(literal -1 binary64)) |
re |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 re #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(-.f64 re #s(literal 1 binary64)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(cos.f64 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) (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) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 im im) |
im |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) |
(+.f64 #s(literal 1 binary64) re) |
#s(literal 1 binary64) |
re |
#s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 im im) |
im |
#s(literal -1/2 binary64) |
(*.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)))) |
(*.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 #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 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) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.078125 | (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) | |
| accuracy | 0.21484375 | (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) | |
| accuracy | 21.476083771582054 | #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 | 34.67434628444474 | #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.0546875 | (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) | |
| accuracy | 0.109375 | (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) | |
| accuracy | 32.80505012400741 | #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) | |
| accuracy | 34.79905600879896 | #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) | |
| accuracy | 0.0546875 | (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) | |
| accuracy | 0.109375 | (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) | |
| accuracy | 33.16944180650865 | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) | |
| accuracy | 34.79905600879896 | #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 im im) | |
| accuracy | 33.16944180650865 | #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 | 34.67434628444474 | #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.04296875 | (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) | |
| accuracy | 0.08203125 | (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) | |
| accuracy | 0.21484375 | (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) | |
| accuracy | 21.476083771582054 | #s(approx (exp re) (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 re #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) |
| 75.0ms | 256× | 0 | valid |
Compiled 563 to 70 computations (87.6% saved)
ival-mult: 21.0ms (38.8% of total)ival-add: 14.0ms (25.9% of total)ival-cos: 6.0ms (11.1% of total)const: 6.0ms (11.1% of total)ival-div: 2.0ms (3.7% of total)ival-exp: 2.0ms (3.7% of total)ival-sub: 1.0ms (1.8% of total)exact: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 re #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 re #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (cos.f64 im)) |
#s(approx (exp re) (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 re #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) |
(fma.f64 re re #s(literal -1 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)))) |
#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) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) |
(+.f64 #s(literal 1 binary64) 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))) #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 (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)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) |
| Outputs |
|---|
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(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 |
(- (pow re 2) 1) |
(+ 1 (* 1/2 re)) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
1/2 |
(+ 1/2 (* 1/6 re)) |
(* 1/2 re) |
(* re (+ 1/2 (* 1/6 re))) |
(* 1/2 (pow re 2)) |
(* (pow re 2) (+ 1/2 (* 1/6 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)))))) |
(* (cos im) (exp re)) |
(exp re) |
(pow re 2) |
(* (pow re 2) (- 1 (/ 1 (pow re 2)))) |
re |
(* re (+ 1 (/ 1 re))) |
(* 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))))) |
(* 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))) |
(+ (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))) |
(pow im 2) |
-1/2 |
(- (* 1/24 (pow im 2)) 1/2) |
(* -1/2 (pow im 2)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) |
(* 1/24 (pow im 4)) |
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) |
(* 1/24 (pow im 2)) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | im | @ | inf | ((+ (* (+ (* re re) -1) (/ 1 (- re 1))) (* (* (+ (* 1/6 re) 1/2) re) re)) (* (exp re) (cos im)) (exp re) (+ (* re re) -1) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) (* (exp re) (cos im)) (cos im) (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (+ (* 1/24 (* im im)) -1/2) (* (exp re) (cos im)) (exp re) (+ 1 re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) (* (+ (* 1/6 re) 1/2) re) (* (* (+ (* 1/6 re) 1/2) re) re)) |
| 2.0ms | re | @ | inf | ((+ (* (+ (* re re) -1) (/ 1 (- re 1))) (* (* (+ (* 1/6 re) 1/2) re) re)) (* (exp re) (cos im)) (exp re) (+ (* re re) -1) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) (* (exp re) (cos im)) (cos im) (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (+ (* 1/24 (* im im)) -1/2) (* (exp re) (cos im)) (exp re) (+ 1 re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) (* (+ (* 1/6 re) 1/2) re) (* (* (+ (* 1/6 re) 1/2) re) re)) |
| 1.0ms | re | @ | -inf | ((+ (* (+ (* re re) -1) (/ 1 (- re 1))) (* (* (+ (* 1/6 re) 1/2) re) re)) (* (exp re) (cos im)) (exp re) (+ (* re re) -1) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) (* (exp re) (cos im)) (cos im) (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (+ (* 1/24 (* im im)) -1/2) (* (exp re) (cos im)) (exp re) (+ 1 re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) (* (+ (* 1/6 re) 1/2) re) (* (* (+ (* 1/6 re) 1/2) re) re)) |
| 1.0ms | im | @ | -inf | ((+ (* (+ (* re re) -1) (/ 1 (- re 1))) (* (* (+ (* 1/6 re) 1/2) re) re)) (* (exp re) (cos im)) (exp re) (+ (* re re) -1) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) (* (exp re) (cos im)) (cos im) (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (+ (* 1/24 (* im im)) -1/2) (* (exp re) (cos im)) (exp re) (+ 1 re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) (* (+ (* 1/6 re) 1/2) re) (* (* (+ (* 1/6 re) 1/2) re) re)) |
| 1.0ms | re | @ | 0 | ((+ (* (+ (* re re) -1) (/ 1 (- re 1))) (* (* (+ (* 1/6 re) 1/2) re) re)) (* (exp re) (cos im)) (exp re) (+ (* re re) -1) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) (* (exp re) (cos im)) (cos im) (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (+ (* 1/24 (* im im)) -1/2) (* (exp re) (cos im)) (exp re) (+ 1 re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) (* (+ (* 1/6 re) 1/2) re) (* (* (+ (* 1/6 re) 1/2) re) re)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 404 |
| 1 | 347 | 393 |
| 2 | 967 | 381 |
| 3 | 2685 | 373 |
| 4 | 7208 | 373 |
| 0 | 8140 | 324 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(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 |
(- (pow re 2) 1) |
(+ 1 (* 1/2 re)) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
1/2 |
(+ 1/2 (* 1/6 re)) |
(* 1/2 re) |
(* re (+ 1/2 (* 1/6 re))) |
(* 1/2 (pow re 2)) |
(* (pow re 2) (+ 1/2 (* 1/6 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)))))) |
(* (cos im) (exp re)) |
(exp re) |
(pow re 2) |
(* (pow re 2) (- 1 (/ 1 (pow re 2)))) |
re |
(* re (+ 1 (/ 1 re))) |
(* 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))))) |
(* 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))) |
(+ (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))) |
(pow im 2) |
-1/2 |
(- (* 1/24 (pow im 2)) 1/2) |
(* -1/2 (pow im 2)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) |
(* 1/24 (pow im 4)) |
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) |
(* 1/24 (pow im 2)) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
| Outputs |
|---|
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) |
(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) |
(- (pow re 2) 1) |
(fma.f64 re 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)) |
(* 1/2 re) |
(*.f64 #s(literal 1/2 binary64) re) |
(* re (+ 1/2 (* 1/6 re))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) |
(* 1/2 (pow re 2)) |
(*.f64 (*.f64 re re) #s(literal 1/2 binary64)) |
(* (pow re 2) (+ 1/2 (* 1/6 re))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) 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 (*.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))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) 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)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(exp re) |
(exp.f64 re) |
(pow re 2) |
(*.f64 re re) |
(* (pow re 2) (- 1 (/ 1 (pow re 2)))) |
(fma.f64 re re #s(literal -1 binary64)) |
re |
(* re (+ 1 (/ 1 re))) |
(+.f64 #s(literal 1 binary64) re) |
(* 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)) |
(* 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))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) |
(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)) |
(+ (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 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #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 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(+ 1 (* -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 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(pow im 2) |
(*.f64 im im) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/24 (pow im 2)) 1/2) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) |
(* -1/2 (pow im 2)) |
(*.f64 (*.f64 im im) #s(literal -1/2 binary64)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) |
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(* 1/24 (pow im 4)) |
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)) |
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (pow.f64 im #s(literal 4 binary64))) |
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) |
(* 1/24 (pow im 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 im im)) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 252 |
| 0 | 62 | 249 |
| 1 | 218 | 234 |
| 2 | 1561 | 234 |
| 0 | 8252 | 231 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 re #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 re #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (cos.f64 im)) |
#s(approx (exp re) (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 re #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) |
(fma.f64 re re #s(literal -1 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)))) |
#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) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) |
(+.f64 #s(literal 1 binary64) 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))) #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 (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)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) (+.f64 #s(literal 1 binary64) re)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) (+.f64 #s(literal 1 binary64) re)) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) #s(literal 2 binary64))) (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) re) re) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)))))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) (+.f64 #s(literal 1 binary64) re)) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) re))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) re))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) (+.f64 #s(literal 1 binary64) re)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) (+.f64 #s(literal 1 binary64) re)) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) #s(literal 2 binary64)))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re)) (-.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 re re #s(literal -1 binary64))) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (neg.f64 (-.f64 re #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re)))) (*.f64 (neg.f64 (-.f64 re #s(literal 1 binary64))) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 re re #s(literal -1 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 (neg.f64 (-.f64 re #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 re re)))) (*.f64 (neg.f64 (-.f64 re #s(literal 1 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 (fma.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 re #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 re re #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re)))) (*.f64 (fma.f64 re re #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) |
(/.f64 (fma.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 re #s(literal 1 binary64)) #s(literal -1 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 (fma.f64 re re #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 re re)))) (*.f64 (fma.f64 re re #s(literal 1 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 (fma.f64 (*.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 re #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 re re) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re)))) (*.f64 (-.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 re re) #s(literal -1 binary64))) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) |
(/.f64 (fma.f64 (*.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 re #s(literal 1 binary64)) #s(literal -1 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 (pow.f64 re #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 re re) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 re re)))) (*.f64 (-.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 re re) #s(literal -1 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 (fma.f64 (*.f64 (pow.f64 (-.f64 re #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 re re #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re)))) (*.f64 (fma.f64 re re #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) |
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(*.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) re) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) re) (*.f64 (*.f64 #s(literal 1/6 binary64) re) re) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) re) (*.f64 #s(literal 1/2 binary64) re))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) re) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) re) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) re) (*.f64 (*.f64 #s(literal 1/6 binary64) re) re)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 (*.f64 #s(literal 1/6 binary64) re) re))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 re (*.f64 #s(literal 1/6 binary64) re)) #s(literal 3 binary64)) (pow.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 re (*.f64 #s(literal 1/6 binary64) re)) (*.f64 re (*.f64 #s(literal 1/6 binary64) re)) (-.f64 (*.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re #s(literal 1/2 binary64))) (*.f64 (*.f64 re (*.f64 #s(literal 1/6 binary64) re)) (*.f64 re #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 re (*.f64 #s(literal 1/6 binary64) re)) #s(literal 3 binary64))) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 re (*.f64 #s(literal 1/6 binary64) re)) (*.f64 re (*.f64 #s(literal 1/6 binary64) re))) (*.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re (*.f64 #s(literal 1/6 binary64) re)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re)) (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) re)) (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 (neg.f64 (*.f64 re (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 re (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 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) re) (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 re (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) |
(/.f64 (*.f64 re (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))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re))) |
(/.f64 #s(literal 1 binary64) (/.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 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) re))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 re (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.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 re (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) re) re (*.f64 #s(literal 1/2 binary64) re)) |
(fma.f64 #s(literal 1/2 binary64) re (*.f64 (*.f64 #s(literal 1/6 binary64) re) re)) |
(fma.f64 re (*.f64 #s(literal 1/6 binary64) re) (*.f64 re #s(literal 1/2 binary64))) |
(fma.f64 re #s(literal 1/2 binary64) (*.f64 re (*.f64 #s(literal 1/6 binary64) re))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) re) (*.f64 #s(literal 1/2 binary64) re)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 (*.f64 #s(literal 1/6 binary64) re) re)) |
(+.f64 (*.f64 re (*.f64 #s(literal 1/6 binary64) re)) (*.f64 re #s(literal 1/2 binary64))) |
(+.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re (*.f64 #s(literal 1/6 binary64) re))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 re re)) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re)) |
(*.f64 re (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 re re))) (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 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 re re)) (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 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re)))) |
(/.f64 #s(literal 1 binary64) (/.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 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 re re)))) |
Compiled 35 075 to 3 941 computations (88.8% saved)
24 alts after pruning (15 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 943 | 12 | 955 |
| Fresh | 1 | 3 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 946 | 24 | 970 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (exp.f64 re) (cos.f64 im)) |
| ✓ | 58.4% | (*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
| 26.3% | (*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) | |
| ✓ | 66.4% | (*.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)) |
| ✓ | 34.9% | (*.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))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
| 34.9% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (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)))) | |
| 26.1% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.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)))) 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)))) | |
| ▶ | 34.9% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) 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)))) |
| ▶ | 34.7% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) 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)))) |
| 31.6% | (*.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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| ✓ | 66.4% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 re #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (cos.f64 im)) |
| ✓ | 62.3% | (*.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)) |
| ▶ | 34.5% | (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
| ✓ | 48.7% | (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) |
| 24.4% | (*.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)))) | |
| 29.4% | (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) | |
| ✓ | 48.2% | #s(approx (* (exp re) (cos im)) (cos.f64 im)) |
| 25.6% | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) | |
| ▶ | 29.0% | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
| ✓ | 22.7% | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
| 28.7% | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) | |
| 22.7% | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))))) | |
| 19.6% | #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))))) | |
| ▶ | 9.0% | #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))))) |
Compiled 923 to 640 computations (30.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) 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 | #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 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 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) | |
| cost-diff | 0 | (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #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 | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) 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 | 128 | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)) | |
| cost-diff | 128 | (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) | |
| cost-diff | 320 | (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 516 |
| 0 | 81 | 516 |
| 1 | 136 | 506 |
| 2 | 223 | 506 |
| 3 | 440 | 506 |
| 4 | 1048 | 506 |
| 5 | 1884 | 506 |
| 6 | 3856 | 506 |
| 7 | 7566 | 506 |
| 0 | 8100 | 480 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) 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 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) re #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) |
(-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) |
#s(literal 1/4 binary64) |
(*.f64 #s(literal 1/36 binary64) (*.f64 re re)) |
#s(literal 1/36 binary64) |
(*.f64 re re) |
re |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/6 binary64) re) |
#s(literal 1/6 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) #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) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 im im) |
im |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 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 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 re re) #s(literal 1/6 binary64)) |
(*.f64 re re) |
re |
#s(literal 1/6 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) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) 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(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) |
#s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) |
(*.f64 #s(literal 1/6 binary64) re) |
#s(literal 1/6 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) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) 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 (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))) #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (fma.f64 (*.f64 #s(literal 1/36 binary64) re) re #s(literal -1/4 binary64)) #s(literal 1 binary64)) re #s(literal 1 binary64)))) |
#s(approx (exp re) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
#s(approx (exp re) (fma.f64 (fma.f64 (/.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (fma.f64 (*.f64 #s(literal 1/36 binary64) re) re #s(literal -1/4 binary64)) #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (/.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (fma.f64 (*.f64 #s(literal 1/36 binary64) re) re #s(literal -1/4 binary64)) #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) re #s(literal 1 binary64)) |
(fma.f64 (/.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (fma.f64 (*.f64 #s(literal 1/36 binary64) re) re #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) re) re #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) |
(-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) |
(fma.f64 #s(literal -1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(*.f64 #s(literal 1/36 binary64) (*.f64 re re)) |
(*.f64 (*.f64 re re) #s(literal 1/36 binary64)) |
#s(literal 1/36 binary64) |
(*.f64 re re) |
re |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)) |
(fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/6 binary64) re) |
#s(literal 1/6 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(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) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 im 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 #s(literal -1/2 binary64) (*.f64 im 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 #s(literal -1/2 binary64) (*.f64 im im))) |
(*.f64 (*.f64 im im) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 im im)) |
(*.f64 im im) |
im |
#s(literal -1/2 binary64) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 im im) |
im |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 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 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) re) re)) 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 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) |
#s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) re) re)) re #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) re) re)) re #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) |
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) re) re)) |
(*.f64 (*.f64 re re) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) re) re) |
(*.f64 re re) |
re |
#s(literal 1/6 binary64) |
#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 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) 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(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) 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(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) |
#s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) |
(*.f64 #s(literal 1/6 binary64) re) |
#s(literal 1/6 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) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.33984375 | (*.f64 #s(literal 1/6 binary64) re) | |
| accuracy | 21.476083771582054 | #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) | |
| accuracy | 30.19122493023731 | #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) | |
| accuracy | 34.67434628444474 | #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.16015625 | (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) | |
| accuracy | 21.476083771582054 | #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) | |
| accuracy | 30.090696084972638 | #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) | |
| accuracy | 34.67434628444474 | #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.046875 | (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) | |
| accuracy | 0.109375 | (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) | |
| accuracy | 33.16944180650865 | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) | |
| accuracy | 34.79905600879896 | #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))) | |
| accuracy | 0.00390625 | (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) | |
| accuracy | 28.011371586074933 | #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) | |
| accuracy | 33.16944180650865 | #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 | 34.67434628444474 | #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))) | |
| accuracy | 0.33984375 | (*.f64 #s(literal 1/6 binary64) re) | |
| accuracy | 15.969368617981317 | (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) | |
| accuracy | 21.476083771582054 | #s(approx (exp re) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) | |
| accuracy | 34.67434628444474 | #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
| 116.0ms | 256× | 0 | valid |
Compiled 810 to 95 computations (88.3% saved)
ival-add: 30.0ms (32.5% of total)const: 26.0ms (28.2% of total)ival-mult: 23.0ms (24.9% of total)ival-cos: 6.0ms (6.5% of total)ival-sub: 3.0ms (3.3% of total)ival-div: 2.0ms (2.2% of total)ival-exp: 2.0ms (2.2% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) |
(-.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 #s(approx (exp re) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) 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 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)) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) |
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 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 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) 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(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) 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 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(*.f64 #s(literal 1/6 binary64) re) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 re re) #s(literal 1/6 binary64)) |
#s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) |
| Outputs |
|---|
1/2 |
(+ 1/2 (* 1/6 re)) |
1/4 |
(+ 1/4 (* -1/36 (pow re 2))) |
(+ 1/2 (* -1/6 re)) |
(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)))))) |
(+ 1 (* 1/2 re)) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
(* 1/6 re) |
(* 1/6 (pow re 2)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* -1/36 (pow re 2)) |
(* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36)) |
(* -1/6 re) |
(* re (- (* 1/2 (/ 1 re)) 1/6)) |
(* (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)))))) |
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(* -1 (* 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))) |
(+ (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))) |
(* -1/2 (pow im 2)) |
(* -1/2 im) |
(* im (- (* 1/24 (pow im 2)) 1/2)) |
-1/2 |
(- (* 1/24 (pow im 2)) 1/2) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) |
(* 1/24 (pow im 4)) |
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) |
(* 1/24 (pow im 3)) |
(* (pow im 3) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(* 1/24 (pow im 2)) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(* -1 (* (pow im 3) (- (* 1/2 (/ 1 (pow im 2))) 1/24))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | re | @ | -inf | ((* (- 1/4 (* 1/36 (* re re))) (/ 1 (- 1/2 (* 1/6 re)))) (- 1/4 (* 1/36 (* re re))) (- 1/2 (* 1/6 re)) (* (exp re) (cos im)) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (cos im) (+ (* (* (+ (* 1/24 (* im im)) -1/2) im) im) 1) (* (+ (* 1/24 (* im im)) -1/2) im) (* (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) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (cos im) (exp re) (* 1/6 re) (+ (* 1/24 (* im im)) -1/2) (* (* re re) 1/6) (+ (* 1/6 re) 1/2)) |
| 2.0ms | re | @ | inf | ((* (- 1/4 (* 1/36 (* re re))) (/ 1 (- 1/2 (* 1/6 re)))) (- 1/4 (* 1/36 (* re re))) (- 1/2 (* 1/6 re)) (* (exp re) (cos im)) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (cos im) (+ (* (* (+ (* 1/24 (* im im)) -1/2) im) im) 1) (* (+ (* 1/24 (* im im)) -1/2) im) (* (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) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (cos im) (exp re) (* 1/6 re) (+ (* 1/24 (* im im)) -1/2) (* (* re re) 1/6) (+ (* 1/6 re) 1/2)) |
| 1.0ms | im | @ | inf | ((* (- 1/4 (* 1/36 (* re re))) (/ 1 (- 1/2 (* 1/6 re)))) (- 1/4 (* 1/36 (* re re))) (- 1/2 (* 1/6 re)) (* (exp re) (cos im)) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (cos im) (+ (* (* (+ (* 1/24 (* im im)) -1/2) im) im) 1) (* (+ (* 1/24 (* im im)) -1/2) im) (* (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) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (cos im) (exp re) (* 1/6 re) (+ (* 1/24 (* im im)) -1/2) (* (* re re) 1/6) (+ (* 1/6 re) 1/2)) |
| 1.0ms | im | @ | -inf | ((* (- 1/4 (* 1/36 (* re re))) (/ 1 (- 1/2 (* 1/6 re)))) (- 1/4 (* 1/36 (* re re))) (- 1/2 (* 1/6 re)) (* (exp re) (cos im)) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (cos im) (+ (* (* (+ (* 1/24 (* im im)) -1/2) im) im) 1) (* (+ (* 1/24 (* im im)) -1/2) im) (* (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) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (cos im) (exp re) (* 1/6 re) (+ (* 1/24 (* im im)) -1/2) (* (* re re) 1/6) (+ (* 1/6 re) 1/2)) |
| 1.0ms | re | @ | 0 | ((* (- 1/4 (* 1/36 (* re re))) (/ 1 (- 1/2 (* 1/6 re)))) (- 1/4 (* 1/36 (* re re))) (- 1/2 (* 1/6 re)) (* (exp re) (cos im)) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (cos im) (+ (* (* (+ (* 1/24 (* im im)) -1/2) im) im) 1) (* (+ (* 1/24 (* im im)) -1/2) im) (* (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) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (cos im) (exp re) (* 1/6 re) (+ (* 1/24 (* im im)) -1/2) (* (* re re) 1/6) (+ (* 1/6 re) 1/2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 137 | 434 |
| 1 | 380 | 423 |
| 2 | 1089 | 409 |
| 3 | 3140 | 401 |
| 4 | 7618 | 401 |
| 0 | 8101 | 348 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* 1/6 re)) |
1/4 |
(+ 1/4 (* -1/36 (pow re 2))) |
(+ 1/2 (* -1/6 re)) |
(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)))))) |
(+ 1 (* 1/2 re)) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
(* 1/6 re) |
(* 1/6 (pow re 2)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* -1/36 (pow re 2)) |
(* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36)) |
(* -1/6 re) |
(* re (- (* 1/2 (/ 1 re)) 1/6)) |
(* (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)))))) |
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(* -1 (* 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))) |
(+ (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))) |
(* -1/2 (pow im 2)) |
(* -1/2 im) |
(* im (- (* 1/24 (pow im 2)) 1/2)) |
-1/2 |
(- (* 1/24 (pow im 2)) 1/2) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) |
(* 1/24 (pow im 4)) |
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) |
(* 1/24 (pow im 3)) |
(* (pow im 3) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(* 1/24 (pow im 2)) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(* -1 (* (pow im 3) (- (* 1/2 (/ 1 (pow im 2))) 1/24))) |
| Outputs |
|---|
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)) |
1/4 |
#s(literal 1/4 binary64) |
(+ 1/4 (* -1/36 (pow re 2))) |
(fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) |
(+ 1/2 (* -1/6 re)) |
(fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) |
(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)) |
(+ 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)) |
(* 1/6 re) |
(*.f64 #s(literal 1/6 binary64) re) |
(* 1/6 (pow re 2)) |
(*.f64 (*.f64 re re) #s(literal 1/6 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
(* -1/36 (pow re 2)) |
(*.f64 (*.f64 re re) #s(literal -1/36 binary64)) |
(* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36)) |
(fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) |
(* -1/6 re) |
(*.f64 #s(literal -1/6 binary64) re) |
(* re (- (* 1/2 (/ 1 re)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) |
(* (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 (*.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)) |
(* (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)) |
(* -1 (* 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 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) |
(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)) |
(+ (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 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #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 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(+ 1 (* -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 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(* -1/2 (pow im 2)) |
(*.f64 (*.f64 im im) #s(literal -1/2 binary64)) |
(* -1/2 im) |
(*.f64 #s(literal -1/2 binary64) im) |
(* im (- (* 1/24 (pow im 2)) 1/2)) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/24 (pow im 2)) 1/2) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) |
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(* 1/24 (pow im 4)) |
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)) |
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (pow.f64 im #s(literal 4 binary64))) |
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) |
(* 1/24 (pow im 3)) |
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/24 binary64)) |
(* (pow im 3) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) |
(* 1/24 (pow im 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 im im)) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) |
(* -1 (* (pow im 3) (- (* 1/2 (/ 1 (pow im 2))) 1/24))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 381 |
| 0 | 81 | 375 |
| 1 | 279 | 347 |
| 2 | 1990 | 347 |
| 0 | 8251 | 333 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) |
(-.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 #s(approx (exp re) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) 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 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)) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) |
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 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 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) 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(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) 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 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(*.f64 #s(literal 1/6 binary64) re) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 re re) #s(literal 1/6 binary64)) |
#s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 re #s(literal 1/36 binary64)) re (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) re))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 4 binary64))) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 6 binary64))) (/.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (/.f64 (pow.f64 (+.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 re re) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 4 binary64))) #s(literal 1/16 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 6 binary64))) (/.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (/.f64 (pow.f64 (+.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 re re) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 4 binary64))) #s(literal 1/16 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 re #s(literal 1/36 binary64)) re (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) re))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 6 binary64))) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 3 binary64)))) (/.f64 (pow.f64 (+.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 re re) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 4 binary64))) #s(literal 1/16 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 6 binary64))) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) (/.f64 (pow.f64 (+.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 re re) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 4 binary64))) #s(literal 1/16 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64)) (/.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (pow.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64)) (/.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (pow.f64 (fma.f64 (*.f64 re #s(literal 1/36 binary64)) re (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) re))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (/.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (/.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64)) (fma.f64 (*.f64 re #s(literal 1/36 binary64)) re (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) re))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 6 binary64))) (fma.f64 #s(literal -1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (+.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 re re) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 4 binary64))) #s(literal 1/16 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) #s(literal -1 binary64))) (pow.f64 (+.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 re re) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 4 binary64))) #s(literal 1/16 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 6 binary64)))) (pow.f64 (+.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 re re) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 4 binary64))) #s(literal 1/16 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.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))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 re #s(literal 1/36 binary64)) re (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) re)))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64))))) |
(*.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) (+.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 re re) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 4 binary64))) #s(literal 1/16 binary64))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) (+.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 re re) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 4 binary64))) #s(literal 1/16 binary64))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (neg.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 6 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 re re) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 4 binary64))) #s(literal 1/16 binary64)) (neg.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 6 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 re re) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 4 binary64))) #s(literal 1/16 binary64)) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))))) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64))))) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) (+.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 re re) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 4 binary64))) #s(literal 1/16 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 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 #s(literal 1/12 binary64) re))))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re)) (pow.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal -1 binary64))) (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal -1 binary64)) (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re)) (pow.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re)) (pow.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re))) (+.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) (*.f64 re #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) #s(literal 1 binary64)) |
(fma.f64 re (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 re #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re))) (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re)) |
#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 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(*.f64 #s(literal 1/6 binary64) re) |
(*.f64 re #s(literal 1/6 binary64)) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) #s(literal -1/48 binary64))))))) |
(*.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 im im) #s(literal -1/48 binary64)))))) |
(*.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64)) (pow.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) #s(literal -1/48 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) #s(literal -1/48 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)))) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 im im)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 im im) #s(literal -1/48 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) #s(literal -1/48 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 im im) #s(literal -1/48 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) #s(literal -1/48 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 im im) #s(literal -1/48 binary64)))) (fma.f64 #s(literal 1/13824 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) |
(fma.f64 im (*.f64 #s(literal 1/24 binary64) im) #s(literal -1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 im im)))) (/.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal -1/2 binary64)) |
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) re) re) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re re)) |
(*.f64 (*.f64 re re) #s(literal 1/6 binary64)) |
(*.f64 re (*.f64 #s(literal 1/6 binary64) re)) |
#s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) |
Compiled 24 300 to 3 324 computations (86.3% saved)
27 alts after pruning (16 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 555 | 8 | 563 |
| Fresh | 2 | 8 | 10 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 9 | 9 |
| Total | 560 | 27 | 587 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (exp.f64 re) (cos.f64 im)) |
| ✓ | 58.4% | (*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
| 26.3% | (*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) | |
| ✓ | 66.4% | (*.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)) |
| ✓ | 34.9% | (*.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))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
| 34.9% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (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)))) | |
| 26.1% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.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)))) 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)))) | |
| 34.5% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) #s(approx (- 1/2 (* 1/6 re)) (*.f64 #s(literal -1/6 binary64) re)))) 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)))) | |
| 29.4% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (*.f64 #s(approx (- 1/4 (* 1/36 (* re re))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) 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)))) | |
| 31.6% | (*.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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| ✓ | 66.4% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 re #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (cos.f64 im)) |
| ✓ | 62.3% | (*.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)) |
| ✓ | 34.5% | (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
| ✓ | 48.7% | (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) |
| 24.4% | (*.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)))) | |
| 29.4% | (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) | |
| 16.6% | (*.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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| 16.6% | (*.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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| ✓ | 48.2% | #s(approx (* (exp re) (cos im)) (cos.f64 im)) |
| 25.6% | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) | |
| 29.0% | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) | |
| 28.7% | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) im) im #s(literal 1 binary64)))) | |
| ✓ | 22.7% | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
| 28.7% | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) | |
| 22.7% | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))))) | |
| 19.6% | #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))))) | |
| ✓ | 9.0% | #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))))) |
Compiled 1 504 to 644 computations (57.2% saved)
| Inputs |
|---|
#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)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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(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 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 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) 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 (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)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (*.f64 #s(approx (- 1/4 (* 1/36 (* re re))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) 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 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (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)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (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)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) #s(approx (- 1/2 (* 1/6 re)) (*.f64 #s(literal -1/6 binary64) re)))) 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 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) 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 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.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)))) 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 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.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)))) 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)) (cos.f64 im)) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) |
(*.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 (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 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 re #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (cos.f64 im)) |
(*.f64 (exp.f64 re) (cos.f64 im)) |
| Outputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
5 calls:
| 18.0ms | (exp.f64 re) |
| 13.0ms | re |
| 11.0ms | im |
| 11.0ms | (cos.f64 im) |
| 10.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | re |
| 100.0% | 1 | im |
| 100.0% | 1 | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 100.0% | 1 | (exp.f64 re) |
| 100.0% | 1 | (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 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)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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(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 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 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) 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 (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)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (*.f64 #s(approx (- 1/4 (* 1/36 (* re re))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) 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 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (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)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (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)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) #s(approx (- 1/2 (* 1/6 re)) (*.f64 #s(literal -1/6 binary64) re)))) 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 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) 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 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.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)))) 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 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.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)))) 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)) (cos.f64 im)) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) |
(*.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 (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 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 re #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (cos.f64 im)) |
| Outputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (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)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 re #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (cos.f64 im)) |
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
5 calls:
| 12.0ms | im |
| 10.0ms | re |
| 10.0ms | (cos.f64 im) |
| 9.0ms | (exp.f64 re) |
| 9.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.8% | 4 | re |
| 81.8% | 2 | im |
| 94.7% | 5 | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 89.6% | 3 | (exp.f64 re) |
| 81.6% | 2 | (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 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)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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(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 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 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) 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 (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)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (*.f64 #s(approx (- 1/4 (* 1/36 (* re re))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) 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 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (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)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (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)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) #s(approx (- 1/2 (* 1/6 re)) (*.f64 #s(literal -1/6 binary64) re)))) 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 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) 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 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.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)))) 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 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.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)))) 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)) (cos.f64 im)) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) |
(*.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 (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 (fma.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) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (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)))) |
(*.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 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
1 calls:
| 11.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.7% | 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 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)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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(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 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 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) 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 (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)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (*.f64 #s(approx (- 1/4 (* 1/36 (* re re))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) 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 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (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)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (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)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) #s(approx (- 1/2 (* 1/6 re)) (*.f64 #s(literal -1/6 binary64) re)))) 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 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) 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 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.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)))) 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 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.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)))) 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)) (cos.f64 im)) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) |
(*.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 (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)) |
| Outputs |
|---|
(*.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 (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 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)) |
2 calls:
| 12.0ms | re |
| 9.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.2% | 4 | re |
| 88.2% | 4 | (*.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 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)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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(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 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 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) 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 (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)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (*.f64 #s(approx (- 1/4 (* 1/36 (* re re))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) 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 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (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)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (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)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) #s(approx (- 1/2 (* 1/6 re)) (*.f64 #s(literal -1/6 binary64) re)))) 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 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) 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 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.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)))) 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 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.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)))) 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)) (cos.f64 im)) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) |
(*.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)) |
| Outputs |
|---|
(*.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 (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)) |
2 calls:
| 10.0ms | re |
| 8.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.5% | 3 | (exp.f64 re) |
| 91.0% | 4 | re |
Compiled 3 to 5 computations (-66.7% saved)
| Inputs |
|---|
#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)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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(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 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 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) 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 (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)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (*.f64 #s(approx (- 1/4 (* 1/36 (* re re))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) 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 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (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)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (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)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) #s(approx (- 1/2 (* 1/6 re)) (*.f64 #s(literal -1/6 binary64) re)))) 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 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) 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 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.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)))) 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 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.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)))) 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)) (cos.f64 im)) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) |
(*.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) (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)) (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)))) |
3 calls:
| 9.0ms | re |
| 8.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 7.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.3% | 3 | (exp.f64 re) |
| 85.3% | 5 | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 85.3% | 3 | re |
Compiled 8 to 10 computations (-25% saved)
| Inputs |
|---|
#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)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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(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 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 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) 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 (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)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (*.f64 #s(approx (- 1/4 (* 1/36 (* re re))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) 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 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (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)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (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)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) #s(approx (- 1/2 (* 1/6 re)) (*.f64 #s(literal -1/6 binary64) re)))) 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 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) 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 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.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)))) 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 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.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)))) 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)) (cos.f64 im)) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) |
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 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)) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
5 calls:
| 64.0ms | re |
| 59.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 9.0ms | im |
| 9.0ms | (cos.f64 im) |
| 7.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.7% | 5 | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 60.0% | 3 | (cos.f64 im) |
| 61.3% | 4 | im |
| 83.2% | 4 | re |
| 81.3% | 3 | (exp.f64 re) |
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 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)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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(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 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 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) 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 (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)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (*.f64 #s(approx (- 1/4 (* 1/36 (* re re))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) 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 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (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)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (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)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) #s(approx (- 1/2 (* 1/6 re)) (*.f64 #s(literal -1/6 binary64) re)))) 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 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) 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 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.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)))) 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 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.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)))) 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)) (cos.f64 im)) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) |
| Outputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
3 calls:
| 37.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 9.0ms | re |
| 7.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.1% | 5 | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 70.8% | 3 | (exp.f64 re) |
| 72.6% | 4 | re |
Compiled 8 to 10 computations (-25% saved)
| Inputs |
|---|
#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)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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(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 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 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) 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 (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)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (*.f64 #s(approx (- 1/4 (* 1/36 (* re re))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) 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 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (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)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (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)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) #s(approx (- 1/2 (* 1/6 re)) (*.f64 #s(literal -1/6 binary64) re)))) 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 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) 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 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.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)))) 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 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.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)))) 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)) (cos.f64 im)) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))))) |
| Outputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))))) |
#s(approx (* (exp re) (cos im)) (cos.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (*.f64 #s(approx (- 1/4 (* 1/36 (* re re))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) 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) #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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
1 calls:
| 9.0ms | re |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.5% | 4 | 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 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)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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(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 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 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) 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 (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)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (*.f64 #s(approx (- 1/4 (* 1/36 (* re re))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) 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 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (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)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (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)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) #s(approx (- 1/2 (* 1/6 re)) (*.f64 #s(literal -1/6 binary64) re)))) 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 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) 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 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.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)))) 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 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.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)))) 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)) (cos.f64 im)) |
| Outputs |
|---|
#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)) (cos.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (*.f64 #s(approx (- 1/4 (* 1/36 (* re re))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) 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) #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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
3 calls:
| 16.0ms | re |
| 7.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 7.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.1% | 5 | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 66.7% | 3 | (exp.f64 re) |
| 68.5% | 4 | re |
Compiled 8 to 10 computations (-25% saved)
| Inputs |
|---|
#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)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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(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 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 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) 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 (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)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (*.f64 #s(approx (- 1/4 (* 1/36 (* re re))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) 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 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (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)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (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)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) #s(approx (- 1/2 (* 1/6 re)) (*.f64 #s(literal -1/6 binary64) re)))) 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 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) 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 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.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)))) 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 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.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)))) 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)))) |
| Outputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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)))) |
5 calls:
| 25.0ms | re |
| 13.0ms | (cos.f64 im) |
| 8.0ms | im |
| 7.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 6.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.7% | 2 | im |
| 44.6% | 3 | (cos.f64 im) |
| 40.2% | 3 | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 39.8% | 2 | (exp.f64 re) |
| 41.7% | 3 | re |
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 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)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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(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 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 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) 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)))) |
| Outputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) 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:
| 6.0ms | (cos.f64 im) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.4% | 3 | (cos.f64 im) |
Compiled 2 to 3 computations (-50% saved)
| Inputs |
|---|
#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)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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(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 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 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 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:
| 10.0ms | (cos.f64 im) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.2% | 3 | (cos.f64 im) |
Compiled 2 to 3 computations (-50% saved)
| Inputs |
|---|
#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)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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(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 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 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))))) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 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) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 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 | (cos.f64 im) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.0% | 3 | (cos.f64 im) |
Compiled 2 to 3 computations (-50% saved)
| Inputs |
|---|
#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)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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(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 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 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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 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 im im) #s(literal -1/2 binary64))))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
3 calls:
| 62.0ms | re |
| 5.0ms | im |
| 4.0ms | (cos.f64 im) |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.4% | 3 | re |
| 37.5% | 2 | im |
| 41.2% | 3 | (cos.f64 im) |
Compiled 4 to 7 computations (-75% saved)
| Inputs |
|---|
#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)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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(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 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 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.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) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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:
| 4.0ms | re |
| 4.0ms | (cos.f64 im) |
| 3.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.1% | 3 | (cos.f64 im) |
| 36.5% | 2 | (exp.f64 re) |
| 38.6% | 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 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)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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(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 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 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.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) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.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)))) |
1 calls:
| 40.0ms | (cos.f64 im) |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.9% | 3 | (cos.f64 im) |
Compiled 2 to 3 computations (-50% saved)
| Inputs |
|---|
#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)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #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(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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.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) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) 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)))) |
1 calls:
| 4.0ms | (cos.f64 im) |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.7% | 3 | (cos.f64 im) |
Compiled 2 to 3 computations (-50% saved)
| Inputs |
|---|
#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)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
| Outputs |
|---|
#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 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))) |
5 calls:
| 8.0ms | im |
| 3.0ms | re |
| 3.0ms | (cos.f64 im) |
| 3.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 2.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 33.8% | 2 | (exp.f64 re) |
| 33.8% | 2 | re |
| 29.0% | 1 | im |
| 36.5% | 2 | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 33.2% | 2 | (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 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)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) 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 im im) #s(literal -1/2 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64)))) |
1 calls:
| 2.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.2% | 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 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)))) |
| Outputs |
|---|
#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))))) |
(*.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)))) |
5 calls:
| 2.0ms | re |
| 2.0ms | im |
| 2.0ms | (cos.f64 im) |
| 2.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 1.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 24.4% | 1 | im |
| 24.4% | 1 | (cos.f64 im) |
| 29.3% | 2 | (exp.f64 re) |
| 29.3% | 2 | re |
| 27.8% | 2 | (*.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 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 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)))) |
3 calls:
| 9.0ms | re |
| 1.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 1.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 27.4% | 2 | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 27.4% | 2 | re |
| 27.4% | 2 | (exp.f64 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 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 im im) #s(literal -1/2 binary64))))) |
5 calls:
| 1.0ms | im |
| 1.0ms | re |
| 1.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 1.0ms | (cos.f64 im) |
| 1.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 9.0% | 1 | im |
| 9.0% | 1 | (cos.f64 im) |
| 9.0% | 1 | re |
| 9.0% | 1 | (exp.f64 re) |
| 9.0% | 1 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 11 to 15 computations (-36.4% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0018199558834098 | 1.4411643226978015 |
| 0.0ms | 1.2851824679403731e-49 | 0.004912053095350612 |
| 0.0ms | -0.08817306795919556 | 0.0 |
| 0.0ms | -inf | -0.9996688693580216 |
Compiled 8 to 10 computations (-25% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0018199558834098 | 1.4411643226978015 |
| 0.0ms | 1.2851824679403731e-49 | 0.004912053095350612 |
| 0.0ms | -0.08817306795919556 | 0.0 |
| 0.0ms | -inf | -0.9996688693580216 |
Compiled 8 to 10 computations (-25% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 2.895175908036767e+83 | 8.148215226401997e+85 |
| 14.0ms | 0.0018525963793429863 | 0.36545134431047555 |
| 15.0ms | -112.5757688500447 | -0.01975720693746445 |
| 27.0ms | 368× | 0 | valid |
Compiled 652 to 562 computations (13.8% saved)
ival-cos: 11.0ms (64.4% of total)ival-exp: 4.0ms (23.4% of total)ival-mult: 2.0ms (11.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 7.401777514392187e+152 | 1.1928423089942492e+159 |
| 8.0ms | 0.0018525963793429863 | 0.36545134431047555 |
| 4.0ms | -112.5757688500447 | -0.01975720693746445 |
| 15.0ms | 256× | 0 | valid |
Compiled 608 to 538 computations (11.5% saved)
ival-cos: 6.0ms (60.8% of total)ival-exp: 2.0ms (20.3% of total)ival-mult: 2.0ms (20.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 0.0018525963793429863 | 0.36545134431047555 |
| 29.0ms | -112.5757688500447 | -0.01975720693746445 |
| 29.0ms | 144× | 0 | valid |
Compiled 323 to 310 computations (4% saved)
ival-mult: 21.0ms (79.8% of total)ival-cos: 3.0ms (11.4% of total)ival-exp: 2.0ms (7.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 3.322216925020576e+94 | 2.385796748677763e+106 |
| 86.0ms | 2.965354190614489e+20 | 2.3024336839265334e+27 |
| 10.0ms | -112.5757688500447 | -0.01975720693746445 |
| 95.0ms | 400× | 0 | valid |
Compiled 1 195 to 941 computations (21.3% saved)
ival-exp: 75.0ms (86.4% of total)ival-cos: 9.0ms (10.4% of total)ival-mult: 3.0ms (3.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 3.322216925020576e+94 | 2.385796748677763e+106 |
| 1.0ms | 2.965354190614489e+20 | 2.3024336839265334e+27 |
| 1.0ms | -112.5757688500447 | -0.01975720693746445 |
Compiled 1 267 to 981 computations (22.6% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 3.322216925020576e+94 | 2.385796748677763e+106 |
| 15.0ms | 1.6124575670862715e-27 | 4.252264536264905e-21 |
| 18.0ms | -8238.439307795203 | -112.5757688500447 |
| 16.0ms | 256× | 0 | valid |
Compiled 1 366 to 1 068 computations (21.8% saved)
ival-cos: 6.0ms (57.1% of total)ival-exp: 3.0ms (28.6% of total)ival-mult: 2.0ms (19% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 3.322216925020576e+94 | 2.385796748677763e+106 |
| 23.0ms | 1.6124575670862715e-27 | 4.252264536264905e-21 |
| 4.0ms | -8238.439307795203 | -112.5757688500447 |
| 2.0ms | 32× | 0 | valid |
Compiled 1 324 to 1 040 computations (21.5% saved)
ival-cos: 1.0ms (69.3% of total)ival-true: 0.0ms (0% of total)ival-exp: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999396152356 | 0.9999999999412024 |
| 0.0ms | -0.018993550796710112 | 0.004912053095350612 |
Compiled 8 to 10 computations (-25% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999396152356 | 0.9999999999412024 |
| 0.0ms | -0.018993550796710112 | 0.004912053095350612 |
Compiled 8 to 10 computations (-25% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999396152356 | 0.9999999999412024 |
| 0.0ms | -0.018993550796710112 | 0.004912053095350612 |
Compiled 8 to 10 computations (-25% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999396152356 | 0.9999999999412024 |
| 0.0ms | -0.018993550796710112 | 0.004912053095350612 |
Compiled 8 to 10 computations (-25% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 3.322216925020576e+94 | 2.385796748677763e+106 |
| 1.0ms | -112.5757688500447 | -0.01975720693746445 |
Compiled 912 to 686 computations (24.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999999972781 | 0.999999999998944 |
| 0.0ms | -0.018993550796710112 | 0.004912053095350612 |
Compiled 8 to 10 computations (-25% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9868630305436886 | 0.992051585091571 |
| 0.0ms | -0.08817306795919556 | -0.07987498995258469 |
Compiled 8 to 10 computations (-25% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999999972781 | 0.999999999998944 |
| 0.0ms | -0.05661084790447895 | -0.018993550796710112 |
Compiled 8 to 10 computations (-25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.2851824679403731e-49 |
Compiled 8 to 10 computations (-25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.2851824679403731e-49 |
Compiled 8 to 10 computations (-25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2851824679403731e-49 | 0.9804366876374857 |
Compiled 8 to 10 computations (-25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.2851824679403731e-49 |
Compiled 8 to 10 computations (-25% saved)
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 208 | 1591 |
| 1 | 265 | 1569 |
| 2 | 333 | 1569 |
| 3 | 467 | 1569 |
| 4 | 689 | 1569 |
| 5 | 836 | 1569 |
| 6 | 902 | 1569 |
| 7 | 973 | 1569 |
| 8 | 1338 | 1569 |
| 9 | 1779 | 1569 |
| 10 | 2440 | 1569 |
| 11 | 3693 | 1569 |
| 12 | 4165 | 1569 |
| 13 | 4180 | 1569 |
| 14 | 4202 | 1569 |
| 15 | 4244 | 1569 |
| 16 | 4327 | 1569 |
| 17 | 4706 | 1569 |
| 18 | 5685 | 1569 |
| 19 | 6870 | 1569 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) (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 5265614583427859/26328072917139296674479506920917608079723773850137277813577744384 binary64)) (*.f64 (exp.f64 re) #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 5404319552844595/4503599627370496 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 re #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (cos.f64 im)) (*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) (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 5265614583427859/26328072917139296674479506920917608079723773850137277813577744384 binary64)) (*.f64 (exp.f64 re) #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 5404319552844595/4503599627370496 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)) (*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))))))) |
(if (<=.f64 re #s(literal -1224979098644775/18014398509481984 binary64)) (*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 re #s(literal 1080863910568919/4503599627370496 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)) (if (<=.f64 re #s(literal 80000000000000001170455618453989842477603439029172404742288862973583709140091857272832 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 (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))))) |
(if (<=.f64 re #s(literal -1098878309078401/18014398509481984 binary64)) (*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 re #s(literal 1116892707587883/18014398509481984 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 re #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 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))))) |
(if (<=.f64 re #s(literal -3458764513820541/144115188075855872 binary64)) (*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 re #s(literal 5476377146882523/144115188075855872 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (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)))))) |
(if (<=.f64 re #s(literal -1 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 re #s(literal 300000000000000000000 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (if (<=.f64 re #s(literal 1700000000000000049193481938541582894796449830576460365152778692755599005547450078922666900717568 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.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 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 (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))))) (if (<=.f64 re #s(literal 300000000000000000000 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (if (<=.f64 re #s(literal 1700000000000000049193481938541582894796449830576460365152778692755599005547450078922666900717568 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))))) |
(if (<=.f64 re #s(literal -480 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))))) (if (<=.f64 re #s(literal 5582757582296647/1329227995784915872903807060280344576 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 re #s(literal 1700000000000000049193481938541582894796449830576460365152778692755599005547450078922666900717568 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (*.f64 #s(approx (- 1/4 (* 1/36 (* re re))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) 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) #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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))))) |
(if (<=.f64 re #s(literal -550 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))))) (if (<=.f64 re #s(literal 5582757582296647/1329227995784915872903807060280344576 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 re #s(literal 1700000000000000049193481938541582894796449830576460365152778692755599005547450078922666900717568 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (*.f64 #s(approx (- 1/4 (* 1/36 (* re re))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) 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) #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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))))) |
(if (<=.f64 (cos.f64 im) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) (if (<=.f64 (cos.f64 im) #s(literal 9007198804381029/9007199254740992 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) (*.f64 #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 (cos.f64 im) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) (if (<=.f64 (cos.f64 im) #s(literal 9007198804381029/9007199254740992 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) 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 (cos.f64 im) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) (if (<=.f64 (cos.f64 im) #s(literal 9007198804381029/9007199254740992 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 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 (cos.f64 im) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 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 (cos.f64 im) #s(literal 9007198804381029/9007199254740992 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 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 im im) #s(literal -1/2 binary64))))) (if (<=.f64 re #s(literal 1700000000000000049193481938541582894796449830576460365152778692755599005547450078922666900717568 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) (*.f64 #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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(if (<=.f64 (cos.f64 im) #s(literal -5764607523034235/576460752303423488 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 (cos.f64 im) #s(literal 4503599627361489/4503599627370496 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) (*.f64 #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 (cos.f64 im) #s(literal -5764607523034235/72057594037927936 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))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (cos.f64 im) #s(literal 4458563631096791/4503599627370496 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.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 (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))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (cos.f64 im) #s(literal 4503599627361489/4503599627370496 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) 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 (*.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 im im) #s(literal -1/2 binary64))))) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) 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 im im) #s(literal -1/2 binary64))))) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64))))) |
(if (<=.f64 (exp.f64 re) #s(literal 5265614583427859/26328072917139296674479506920917608079723773850137277813577744384 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))))) (*.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 (*.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 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))))) |
#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 |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) (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 5265614583427859/26328072917139296674479506920917608079723773850137277813577744384 binary64)) (*.f64 (exp.f64 re) #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 5404319552844595/4503599627370496 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 re #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (cos.f64 im)) (*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) (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 5265614583427859/26328072917139296674479506920917608079723773850137277813577744384 binary64)) (*.f64 (exp.f64 re) #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 5404319552844595/4503599627370496 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (pow.f64 (-.f64 re #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (cos.f64 im)) (*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) (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 5265614583427859/26328072917139296674479506920917608079723773850137277813577744384 binary64)) (*.f64 (exp.f64 re) #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 5404319552844595/4503599627370496 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)) (*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))))))) |
(if (<=.f64 re #s(literal -1224979098644775/18014398509481984 binary64)) (*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 re #s(literal 1080863910568919/4503599627370496 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)) (if (<=.f64 re #s(literal 80000000000000001170455618453989842477603439029172404742288862973583709140091857272832 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 (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))))) |
(if (or (<=.f64 re #s(literal -1224979098644775/18014398509481984 binary64)) (not (or (<=.f64 re #s(literal 1080863910568919/4503599627370496 binary64)) (not (<=.f64 re #s(literal 80000000000000001170455618453989842477603439029172404742288862973583709140091857272832 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 (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))) |
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(if (<=.f64 (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))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (cos.f64 im) #s(literal 4503599627361489/4503599627370496 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) 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 (or (<=.f64 (cos.f64 im) #s(literal -3602879701896397/72057594037927936 binary64)) (not (<=.f64 (cos.f64 im) #s(literal 4503599627361489/4503599627370496 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) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) 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 im im) #s(literal -1/2 binary64))))) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) 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 im im) #s(literal -1/2 binary64))))) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1 binary64))))) |
(if (<=.f64 (exp.f64 re) #s(literal 5265614583427859/26328072917139296674479506920917608079723773850137277813577744384 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))))) (*.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 (*.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 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))))) |
#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))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 252 |
| 0 | 62 | 249 |
| 1 | 218 | 234 |
| 2 | 1561 | 234 |
| 0 | 8252 | 231 |
| 0 | 28 | 144 |
| 0 | 50 | 144 |
| 1 | 151 | 144 |
| 2 | 980 | 144 |
| 0 | 8845 | 144 |
| 0 | 64 | 175 |
| 1 | 178 | 164 |
| 2 | 466 | 160 |
| 3 | 1054 | 156 |
| 4 | 1449 | 156 |
| 5 | 1861 | 156 |
| 6 | 2388 | 156 |
| 7 | 2895 | 156 |
| 8 | 3591 | 156 |
| 9 | 5622 | 156 |
| 0 | 8003 | 134 |
| 0 | 137 | 434 |
| 1 | 380 | 423 |
| 2 | 1089 | 409 |
| 3 | 3140 | 401 |
| 4 | 7618 | 401 |
| 0 | 8101 | 348 |
| 0 | 120 | 404 |
| 1 | 347 | 393 |
| 2 | 967 | 381 |
| 3 | 2685 | 373 |
| 4 | 7208 | 373 |
| 0 | 8140 | 324 |
| 0 | 108 | 346 |
| 1 | 325 | 331 |
| 2 | 905 | 319 |
| 3 | 3079 | 315 |
| 4 | 6083 | 315 |
| 0 | 8092 | 269 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 2 599 to 1 115 computations (57.1% saved)
(abs im)
Compiled 3 168 to 476 computations (85% saved)
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