
Time bar (total: 11.0s)
| 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)
| 665.0ms | 8 256× | 0 | valid |
ival-sin: 277.0ms (61.1% of total)ival-exp: 110.0ms (24.2% of total)ival-mult: 57.0ms (12.6% of total)ival-true: 6.0ms (1.3% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 0 | 0 | - | 0 | - | (sin.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 |
| 37.0ms | 512× | 0 | valid |
Compiled 31 to 19 computations (38.7% saved)
ival-sin: 12.0ms (48.2% of total)ival-exp: 10.0ms (40.1% of total)ival-mult: 3.0ms (12% 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 | 31 |
| 1 | 38 | 29 |
| 2 | 77 | 27 |
| 3 | 148 | 27 |
| 4 | 295 | 27 |
| 5 | 440 | 27 |
| 6 | 461 | 27 |
| 7 | 475 | 27 |
| 8 | 482 | 27 |
| 9 | 482 | 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) (sin.f64 im)) |
| Outputs |
|---|
(*.f64 (exp.f64 re) (sin.f64 im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(negabs im)
Compiled 5 to 5 computations (0% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 5 to 5 computations (0% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 im) | |
| cost-diff | 0 | (exp.f64 re) | |
| cost-diff | 0 | (*.f64 (exp.f64 re) (sin.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) (sin.f64 im)) |
(exp.f64 re) |
re |
(sin.f64 im) |
im |
| Outputs |
|---|
(*.f64 (exp.f64 re) (sin.f64 im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(exp.f64 re) |
re |
(sin.f64 im) |
im |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sin.f64 im) | |
| accuracy | 0.0 | (exp.f64 re) | |
| accuracy | 0.0078125 | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 19.0ms | 256× | 0 | valid |
Compiled 13 to 7 computations (46.2% saved)
ival-sin: 6.0ms (50.6% of total)ival-exp: 4.0ms (33.7% of total)ival-mult: 2.0ms (16.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (exp.f64 re) (sin.f64 im)) |
(exp.f64 re) |
(sin.f64 im) |
| Outputs |
|---|
(sin im) |
(+ (sin im) (* re (sin im))) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(* (exp re) (sin im)) |
(exp re) |
(* im (exp re)) |
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) |
im |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))) |
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | re | @ | inf | ((* (exp re) (sin im)) (exp re) (sin im)) |
| 1.0ms | im | @ | 0 | ((* (exp re) (sin im)) (exp re) (sin im)) |
| 1.0ms | re | @ | -inf | ((* (exp re) (sin im)) (exp re) (sin im)) |
| 0.0ms | re | @ | 0 | ((* (exp re) (sin im)) (exp re) (sin im)) |
| 0.0ms | im | @ | -inf | ((* (exp re) (sin im)) (exp re) (sin im)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 192 |
| 1 | 221 | 181 |
| 2 | 584 | 169 |
| 3 | 1576 | 163 |
| 4 | 2434 | 163 |
| 5 | 3117 | 163 |
| 6 | 3586 | 163 |
| 7 | 3734 | 163 |
| 8 | 4023 | 163 |
| 9 | 5924 | 163 |
| 0 | 8211 | 141 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sin im) |
(+ (sin im) (* re (sin im))) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(* (exp re) (sin im)) |
(exp re) |
(* im (exp re)) |
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) |
im |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))) |
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) |
| Outputs |
|---|
(sin im) |
(sin.f64 im) |
(+ (sin im) (* re (sin im))) |
(fma.f64 (sin.f64 im) re (sin.f64 im)) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (sin.f64 im)) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin 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)) (sin.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)) |
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(exp re) |
(exp.f64 re) |
(* im (exp re)) |
(*.f64 (exp.f64 re) im) |
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (exp.f64 re)) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im) (exp.f64 re)) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im) |
im |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) |
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im) |
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) |
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) (sin.f64 im)) |
(exp.f64 re) |
(sin.f64 im) |
| Outputs |
|---|
(*.f64 (sin.f64 im) (exp.f64 re)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(exp.f64 re) |
(sin.f64 im) |
Compiled 262 to 64 computations (75.6% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 14 | 7 | 21 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 14 | 8 | 22 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (exp.f64 re) (sin.f64 im)) |
| ▶ | 67.1% | (*.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))) (sin.f64 im)) |
| ▶ | 64.8% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) |
| ▶ | 52.1% | (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
| 52.1% | #s(approx (* (exp re) (sin im)) (fma.f64 (sin.f64 im) re (sin.f64 im))) | |
| 55.7% | #s(approx (* (exp re) (sin im)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im)) | |
| ▶ | 67.2% | #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
| ▶ | 51.5% | #s(approx (* (exp re) (sin im)) (sin.f64 im)) |
Compiled 195 to 145 computations (25.6% saved)
| 1× | egg-herbie |
Found 17 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))) (sin.f64 im)) | |
| 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))) (sin.f64 im)) | |
| cost-diff | 0 | (sin.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)) (sin.f64 im)) | |
| cost-diff | 0 | (sin.f64 im) | |
| cost-diff | 0 | #s(approx (* (exp re) (sin im)) (sin.f64 im)) | |
| cost-diff | 0 | (exp.f64 re) | |
| cost-diff | 0 | (*.f64 (exp.f64 re) im) | |
| cost-diff | 0 | #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 149 |
| 0 | 43 | 149 |
| 1 | 61 | 149 |
| 2 | 81 | 149 |
| 3 | 148 | 149 |
| 4 | 256 | 149 |
| 5 | 310 | 149 |
| 6 | 327 | 149 |
| 0 | 327 | 149 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
(*.f64 (exp.f64 re) im) |
(exp.f64 re) |
re |
im |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
(sin.f64 im) |
im |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) |
(+.f64 #s(literal 1 binary64) re) |
#s(literal 1 binary64) |
re |
(sin.f64 im) |
im |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.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) |
(sin.f64 im) |
im |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.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) |
(sin.f64 im) |
im |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
(*.f64 (exp.f64 re) im) |
(*.f64 im (exp.f64 re)) |
(exp.f64 re) |
re |
im |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
(sin.f64 im) |
im |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) |
(+.f64 #s(literal 1 binary64) re) |
#s(literal 1 binary64) |
re |
(sin.f64 im) |
im |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.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) |
(sin.f64 im) |
im |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.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) |
(sin.f64 im) |
im |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.04296875 | (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 | 0.05078125 | (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) | |
| accuracy | 0.171875 | (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) | |
| accuracy | 21.028190781530515 | #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) | |
| accuracy | 0.0 | (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) | |
| accuracy | 0.0 | (sin.f64 im) | |
| accuracy | 0.0078125 | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) | |
| accuracy | 22.513682516984737 | #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 #s(literal 1 binary64) re) | |
| accuracy | 0.0 | (sin.f64 im) | |
| accuracy | 0.0078125 | (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) | |
| accuracy | 30.597601222362407 | #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) | |
| accuracy | 0.0 | (sin.f64 im) | |
| accuracy | 31.04425987362387 | #s(approx (* (exp re) (sin im)) (sin.f64 im)) | |
| accuracy | 0.0 | (exp.f64 re) | |
| accuracy | 0.0078125 | (*.f64 (exp.f64 re) im) | |
| accuracy | 20.96486204771255 | #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
| 73.0ms | 256× | 0 | valid |
Compiled 106 to 22 computations (79.2% saved)
ival-add: 26.0ms (44.5% of total)ival-sin: 17.0ms (29.1% of total)ival-mult: 10.0ms (17.1% of total)const: 3.0ms (5.1% of total)ival-exp: 2.0ms (3.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
(*.f64 (exp.f64 re) im) |
(exp.f64 re) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
(sin.f64 im) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
#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 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.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)) |
(*.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))) (sin.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)) |
| Outputs |
|---|
(sin im) |
(+ (sin im) (* re (sin im))) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
im |
(+ im (* im re)) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 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)) |
(* (exp re) (sin im)) |
(* im (exp re)) |
(exp re) |
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 (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))))) |
(* 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))) |
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))) |
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | im | @ | -inf | ((* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2)) |
| 2.0ms | re | @ | inf | ((* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2)) |
| 2.0ms | re | @ | -inf | ((* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2)) |
| 1.0ms | re | @ | 0 | ((* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2)) |
| 1.0ms | im | @ | 0 | ((* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (sin 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× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 381 |
| 1 | 406 | 366 |
| 2 | 1114 | 344 |
| 3 | 3932 | 338 |
| 4 | 7432 | 338 |
| 0 | 8144 | 287 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sin im) |
(+ (sin im) (* re (sin im))) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
im |
(+ im (* im re)) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 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)) |
(* (exp re) (sin im)) |
(* im (exp re)) |
(exp re) |
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 (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))))) |
(* 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))) |
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))) |
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) |
| Outputs |
|---|
(sin im) |
(sin.f64 im) |
(+ (sin im) (* re (sin im))) |
(fma.f64 (sin.f64 im) re (sin.f64 im)) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (sin.f64 im)) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
(*.f64 (sin.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))) |
im |
(+ im (* im re)) |
(fma.f64 im re im) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im) |
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) |
(fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re 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)) |
(+ 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)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(exp re) |
(exp.f64 re) |
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))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(* 1/2 re) |
(*.f64 #s(literal 1/2 binary64) re) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) |
(* 1/6 (pow re 3)) |
(*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(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)) |
(* 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)) |
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (exp.f64 re)) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(*.f64 (exp.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im)) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) |
(*.f64 (*.f64 (exp.f64 re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))) im) |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) |
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im) |
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 128 |
| 0 | 43 | 128 |
| 1 | 128 | 128 |
| 2 | 826 | 128 |
| 0 | 8371 | 128 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
(*.f64 (exp.f64 re) im) |
(exp.f64 re) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
(sin.f64 im) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
#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 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.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)) |
(*.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))) (sin.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)) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
(*.f64 im (exp.f64 re)) |
(*.f64 (exp.f64 re) im) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) re) |
(pow.f64 (exp.f64 re) #s(literal 1 binary64)) |
(exp.f64 re) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
(sin.f64 im) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
(*.f64 (sin.f64 im) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re))) |
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) |
(*.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 re #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) re)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 re (-.f64 re #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (pow.f64 (-.f64 #s(literal 1 binary64) re) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re re (-.f64 #s(literal 1 binary64) re)))) |
(*.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 re (-.f64 re #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) re) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 re re))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) re) #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 re re))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 (fma.f64 re (-.f64 re #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))) (pow.f64 (fma.f64 re (-.f64 re #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 re #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) re)) |
(/.f64 (*.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 re (-.f64 re #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) re) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 re re) (-.f64 #s(literal 1 binary64) re)) (/.f64 (*.f64 re re) (-.f64 #s(literal 1 binary64) re)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) (/.f64 (*.f64 re re) (-.f64 #s(literal 1 binary64) re)))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 re re) (-.f64 #s(literal 1 binary64) re)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 re re) (-.f64 #s(literal 1 binary64) re)) (/.f64 (*.f64 re re) (-.f64 #s(literal 1 binary64) re)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) (/.f64 (*.f64 re re) (-.f64 #s(literal 1 binary64) re)))))) |
(/.f64 (neg.f64 (fma.f64 re re #s(literal -1 binary64))) (neg.f64 (-.f64 re #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) re)))) |
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(/.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 re (-.f64 (*.f64 #s(literal 1/36 binary64) re) #s(literal 1/12 binary64))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/36 binary64) re) re (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) re)))) |
(/.f64 (-.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 (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)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))))) |
(/.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))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 re (-.f64 (*.f64 #s(literal 1/36 binary64) re) #s(literal 1/12 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) re) re (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) re))))) |
(/.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 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 re (-.f64 (*.f64 #s(literal 1/36 binary64) re) #s(literal 1/12 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/36 binary64) re) re (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) re)))) |
(/.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 1/6 binary64) re #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 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)) |
Compiled 13 130 to 2 192 computations (83.3% saved)
19 alts after pruning (13 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 457 | 13 | 470 |
| Fresh | 2 | 0 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 459 | 19 | 478 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (exp.f64 re) (sin.f64 im)) |
| ✓ | 67.1% | (*.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))) (sin.f64 im)) |
| ✓ | 64.8% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) |
| ▶ | 37.2% | (*.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 (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
| ▶ | 66.2% | (*.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))) (sin.f64 im)) |
| 64.6% | (*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) | |
| ✓ | 52.1% | (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
| 31.6% | (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) | |
| ✓ | 67.2% | #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
| ▶ | 37.3% | #s(approx (* (exp re) (sin 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))) im)) |
| 36.2% | #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) | |
| 28.8% | #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im)) | |
| ▶ | 26.3% | #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
| ✓ | 51.5% | #s(approx (* (exp re) (sin im)) (sin.f64 im)) |
| ▶ | 33.6% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im))) |
| 37.3% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) | |
| 28.8% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im))) | |
| 31.9% | #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im))) | |
| 30.9% | #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
Compiled 535 to 382 computations (28.6% saved)
| 1× | egg-herbie |
Found 19 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))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) | |
| 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))) im) | |
| cost-diff | 0 | #s(approx (* (exp re) (sin 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))) im)) | |
| cost-diff | 0 | (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im) | |
| cost-diff | 0 | #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im)) | |
| cost-diff | 0 | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im))) | |
| cost-diff | 0 | #s(approx (exp re) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im) | |
| cost-diff | 0 | #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) | |
| 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))) (sin.f64 im)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 303 |
| 0 | 70 | 303 |
| 1 | 105 | 303 |
| 2 | 144 | 303 |
| 3 | 232 | 303 |
| 4 | 390 | 303 |
| 5 | 449 | 303 |
| 6 | 512 | 303 |
| 7 | 512 | 303 |
| 8 | 518 | 303 |
| 9 | 518 | 303 |
| 10 | 524 | 303 |
| 11 | 524 | 303 |
| 0 | 524 | 303 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.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))) (sin.f64 im)) |
#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) |
(sin.f64 im) |
im |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) im) |
#s(approx (exp re) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
im |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im))) |
#s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im)) |
(fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im) |
(fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) |
(*.f64 im re) |
im |
re |
#s(literal 1/2 binary64) |
#s(approx (* (exp re) (sin 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))) 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))) 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) |
im |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) 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) |
#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) |
(pow.f64 im #s(literal 3 binary64)) |
im |
#s(literal 3 binary64) |
#s(literal -1/6 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))) (sin.f64 im)) |
(*.f64 (sin.f64 im) #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 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) |
(sin.f64 im) |
im |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) im) |
#s(approx (exp re) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
im |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im))) |
#s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im)) |
(fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im) |
(fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) |
(*.f64 im re) |
im |
re |
#s(literal 1/2 binary64) |
#s(approx (* (exp re) (sin 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))) 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))) 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) |
im |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
(*.f64 #s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)) #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 (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
re |
#s(literal 1 binary64) |
#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) |
#s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im) |
(pow.f64 im #s(literal 3 binary64)) |
im |
#s(literal 3 binary64) |
#s(literal -1/6 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (*.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 (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) | |
| accuracy | 0.0390625 | (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) | |
| accuracy | 22.513682516984737 | #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) | |
| accuracy | 33.42105668267271 | #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) | |
| accuracy | 0.05078125 | (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) | |
| accuracy | 0.171875 | (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) | |
| accuracy | 20.96486204771255 | #s(approx (* (exp re) (sin 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))) im)) | |
| accuracy | 21.028190781530515 | #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) | |
| accuracy | 0.00390625 | (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) | |
| accuracy | 0.046875 | (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im) | |
| accuracy | 20.96486204771255 | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im))) | |
| accuracy | 22.505361130651284 | #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im)) | |
| accuracy | 0.0078125 | (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im) | |
| accuracy | 20.96486204771255 | #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) | |
| accuracy | 31.16941126449001 | #s(approx (exp re) #s(literal 1 binary64)) | |
| accuracy | 0.04296875 | (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 | 0.17578125 | (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) | |
| accuracy | 21.028190781530515 | #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 | 31.730808495492077 | #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) |
| 96.0ms | 256× | 0 | valid |
Compiled 173 to 33 computations (80.9% saved)
ival-mult: 18.0ms (34.6% of total)ival-sin: 11.0ms (21.2% of total)ival-add: 10.0ms (19.2% of total)const: 7.0ms (13.5% of total)ival-pow: 3.0ms (5.8% of total)ival-exp: 2.0ms (3.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.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))) (sin.f64 im)) |
#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))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) im) |
#s(approx (exp re) #s(literal 1 binary64)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im))) |
#s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im)) |
(fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im) |
(fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) |
#s(approx (* (exp re) (sin 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))) 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))) 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)) |
(*.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 (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) 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)) |
(*.f64 (*.f64 re re) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) |
#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) |
| Outputs |
|---|
(sin im) |
(+ (sin im) (* re (sin im))) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin 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)))) |
im |
(+ im (* im re)) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) |
(+ im (* 1/2 (* im re))) |
(* 1/6 (pow re 2)) |
1/2 |
(+ 1/2 (* 1/6 re)) |
(* (exp re) (sin im)) |
(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))))) |
(* im (exp re)) |
(* 1/2 (* im (pow re 2))) |
(* (pow re 2) (+ (* 1/2 im) (/ im re))) |
(* (pow re 2) (+ (* 1/2 im) (+ (/ im re) (/ im (pow re 2))))) |
(* 1/2 (* im re)) |
(* re (+ (* 1/2 im) (/ im 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))) |
(* (pow re 2) (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im))) |
(* -1 (* re (+ (* -1 (/ im re)) (* -1/2 im)))) |
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* im (+ 1 (* 1/2 re))) |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))) |
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) |
(* -1/6 (pow im 3)) |
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6)) |
(* -1 (* im (- (* re (- (* -1/2 re) 1)) 1))) |
(* -1 (* im (- (* -1/2 re) 1))) |
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | im | @ | -inf | ((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im re) 1/2) im) re) im) (+ (* (* im re) 1/2) im) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (* re re) 1/6) (+ (* 1/6 re) 1/2) (+ (* (+ (* 1/6 re) 1/2) re) 1) (sin im) (+ (* (pow im 3) -1/6) im)) |
| 2.0ms | re | @ | 0 | ((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im re) 1/2) im) re) im) (+ (* (* im re) 1/2) im) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (* re re) 1/6) (+ (* 1/6 re) 1/2) (+ (* (+ (* 1/6 re) 1/2) re) 1) (sin im) (+ (* (pow im 3) -1/6) im)) |
| 2.0ms | re | @ | -inf | ((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im re) 1/2) im) re) im) (+ (* (* im re) 1/2) im) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (* re re) 1/6) (+ (* 1/6 re) 1/2) (+ (* (+ (* 1/6 re) 1/2) re) 1) (sin im) (+ (* (pow im 3) -1/6) im)) |
| 2.0ms | re | @ | inf | ((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im re) 1/2) im) re) im) (+ (* (* im re) 1/2) im) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (* re re) 1/6) (+ (* 1/6 re) 1/2) (+ (* (+ (* 1/6 re) 1/2) re) 1) (sin im) (+ (* (pow im 3) -1/6) im)) |
| 2.0ms | im | @ | inf | ((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im re) 1/2) im) re) im) (+ (* (* im re) 1/2) im) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (* re re) 1/6) (+ (* 1/6 re) 1/2) (+ (* (+ (* 1/6 re) 1/2) re) 1) (sin im) (+ (* (pow im 3) -1/6) im)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 163 | 510 |
| 1 | 530 | 485 |
| 2 | 1524 | 470 |
| 3 | 3975 | 465 |
| 4 | 7136 | 465 |
| 0 | 8179 | 402 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sin im) |
(+ (sin im) (* re (sin im))) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin 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)))) |
im |
(+ im (* im re)) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) |
(+ im (* 1/2 (* im re))) |
(* 1/6 (pow re 2)) |
1/2 |
(+ 1/2 (* 1/6 re)) |
(* (exp re) (sin im)) |
(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))))) |
(* im (exp re)) |
(* 1/2 (* im (pow re 2))) |
(* (pow re 2) (+ (* 1/2 im) (/ im re))) |
(* (pow re 2) (+ (* 1/2 im) (+ (/ im re) (/ im (pow re 2))))) |
(* 1/2 (* im re)) |
(* re (+ (* 1/2 im) (/ im 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))) |
(* (pow re 2) (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im))) |
(* -1 (* re (+ (* -1 (/ im re)) (* -1/2 im)))) |
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* im (+ 1 (* 1/2 re))) |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))) |
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) |
(* -1/6 (pow im 3)) |
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6)) |
(* -1 (* im (- (* re (- (* -1/2 re) 1)) 1))) |
(* -1 (* im (- (* -1/2 re) 1))) |
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) |
| Outputs |
|---|
(sin im) |
(sin.f64 im) |
(+ (sin im) (* re (sin im))) |
(fma.f64 (sin.f64 im) re (sin.f64 im)) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
(fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.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)) |
(+ 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)) |
im |
(+ im (* im re)) |
(fma.f64 im re im) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) |
(fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im) |
(+ im (* 1/2 (* im re))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) |
(* 1/6 (pow re 2)) |
(*.f64 (*.f64 re re) #s(literal 1/6 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)) |
(* (exp re) (sin im)) |
(*.f64 (sin.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)) |
(* (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)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* 1/2 (* im (pow re 2))) |
(*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) |
(* (pow re 2) (+ (* 1/2 im) (/ im re))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re) |
(* (pow re 2) (+ (* 1/2 im) (+ (/ im re) (/ im (pow re 2))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
(* 1/2 (* im re)) |
(*.f64 (*.f64 im re) #s(literal 1/2 binary64)) |
(* re (+ (* 1/2 im) (/ im re))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) |
(* 1/2 (pow re 2)) |
(*.f64 (*.f64 re re) #s(literal 1/2 binary64)) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(* 1/2 re) |
(*.f64 #s(literal 1/2 binary64) re) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) |
(* 1/6 re) |
(*.f64 #s(literal 1/6 binary64) re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) re) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) |
(*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) (*.f64 re re))) (pow.f64 re #s(literal 3 binary64))) |
(* (pow re 2) (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
(* -1 (* re (+ (* -1 (/ im re)) (* -1/2 im)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) |
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) |
(*.f64 (exp.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(*.f64 (*.f64 (exp.f64 re) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))) im) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (exp.f64 re) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64))) (*.f64 im (exp.f64 re))) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
(* im (+ 1 (* 1/2 re))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) |
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im) |
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) |
(* -1/6 (pow im 3)) |
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6)) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) |
(* -1 (* im (- (* re (- (* -1/2 re) 1)) 1))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
(* -1 (* im (- (* -1/2 re) 1))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) |
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 272 |
| 0 | 70 | 272 |
| 1 | 210 | 272 |
| 2 | 1304 | 272 |
| 0 | 8345 | 272 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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))) (sin.f64 im)) |
#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))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) im) |
#s(approx (exp re) #s(literal 1 binary64)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im))) |
#s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im)) |
(fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im) |
(fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) |
#s(approx (* (exp re) (sin 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))) 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))) 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)) |
(*.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 (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) 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)) |
(*.f64 (*.f64 re re) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) |
#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) |
| Outputs |
|---|
(*.f64 (sin.f64 im) #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)))) |
(*.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))) (sin.f64 im)) |
#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))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (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))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (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(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #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))) |
(pow.f64 (/.f64 #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(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 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(literal 3 binary64)) (pow.f64 (pow.f64 (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(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 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))) (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 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 (pow.f64 (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(literal -1 binary64)) (pow.f64 (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(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 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))) (pow.f64 (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(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (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))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) 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) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64)) #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)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 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)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 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))) (*.f64 (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(literal 1 binary64))) (*.f64 (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)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #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))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (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)))) |
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(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) |
(fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) im) |
(-.f64 (/.f64 (*.f64 im im) (-.f64 im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))) (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64))) (-.f64 im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64))) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)) (/.f64 (*.f64 im im) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64))) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)) (neg.f64 (/.f64 (*.f64 im im) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im) |
(+.f64 im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))) |
Compiled 16 501 to 2 329 computations (85.9% saved)
22 alts after pruning (14 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 429 | 9 | 438 |
| Fresh | 3 | 5 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 435 | 22 | 457 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (exp.f64 re) (sin.f64 im)) |
| ✓ | 67.1% | (*.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))) (sin.f64 im)) |
| ✓ | 64.8% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) |
| 37.2% | (*.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 (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im))) | |
| ▶ | 37.2% | (*.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 (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
| ▶ | 64.6% | (*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) |
| ✓ | 52.1% | (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
| ✓ | 67.2% | #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
| ▶ | 37.3% | #s(approx (* (exp re) (sin im)) (*.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))) im)) |
| 37.3% | #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.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) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) | |
| 37.3% | #s(approx (* (exp re) (sin im)) (*.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))) im)) | |
| 37.2% | #s(approx (* (exp re) (sin im)) (*.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))) im)) | |
| 37.3% | #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 #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))))) im)) | |
| 28.8% | #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im)) | |
| ✓ | 26.3% | #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
| ✓ | 51.5% | #s(approx (* (exp re) (sin im)) (sin.f64 im)) |
| ✓ | 33.6% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im))) |
| 37.3% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) | |
| ▶ | 28.8% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im))) |
| ▶ | 11.3% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
| 13.8% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) | |
| 31.9% | #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im))) |
Compiled 771 to 525 computations (31.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | (*.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))) im) | |
| cost-diff | 0 | #s(approx (* (exp re) (sin im)) (*.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))) im)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) | |
| cost-diff | 2 | (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)) | |
| cost-diff | 0 | #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))) | |
| cost-diff | 0 | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) | |
| cost-diff | 0 | (fma.f64 im re im) | |
| cost-diff | 0 | #s(approx (* (exp re) im) (fma.f64 im re im)) | |
| cost-diff | 0 | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im))) | |
| cost-diff | 0 | (fma.f64 re re #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) | |
| cost-diff | 5 | (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 381 |
| 0 | 79 | 381 |
| 1 | 127 | 381 |
| 2 | 195 | 366 |
| 3 | 339 | 357 |
| 4 | 560 | 357 |
| 5 | 882 | 357 |
| 6 | 2575 | 357 |
| 0 | 8353 | 354 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) |
#s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) |
(/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64))) |
(fma.f64 re re #s(literal -1 binary64)) |
re |
#s(literal -1 binary64) |
(-.f64 re #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sin.f64 im) |
im |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im))) |
#s(approx (* (exp re) im) (fma.f64 im re im)) |
(fma.f64 im re im) |
im |
re |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))) |
#s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) |
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
re |
#s(literal 1 binary64) |
im |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im 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) |
#s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im) |
(*.f64 #s(literal -1/6 binary64) (*.f64 im im)) |
#s(literal -1/6 binary64) |
(*.f64 im im) |
im |
#s(approx (* (exp re) (sin im)) (*.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))) im)) |
(*.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))) im) |
#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))) |
(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)) |
(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)) |
(/.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))) |
(fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) |
#s(literal 1/36 binary64) |
(*.f64 re re) |
re |
#s(literal -1/4 binary64) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
im |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) |
(*.f64 (sin.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) |
#s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) |
#s(approx (exp re) (-.f64 re #s(literal -1 binary64))) |
(/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64))) |
(-.f64 re #s(literal -1 binary64)) |
(fma.f64 re re #s(literal -1 binary64)) |
re |
#s(literal -1 binary64) |
(-.f64 re #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sin.f64 im) |
im |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im))) |
#s(approx (* (exp re) im) (fma.f64 im re im)) |
(fma.f64 im re im) |
im |
re |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)))) |
#s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))) |
#s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im))) |
#s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)) |
#s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) im) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) |
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
re |
#s(literal 1 binary64) |
im |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
(*.f64 #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) #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 (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
re |
#s(literal 1 binary64) |
#s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im)) |
#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) |
(*.f64 #s(literal -1/6 binary64) (*.f64 im im)) |
(*.f64 (*.f64 im im) #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 im im) |
im |
#s(approx (* (exp re) (sin im)) (*.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))) im)) |
#s(approx (* (exp re) (sin im)) (*.f64 #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 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
(*.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))) im) |
(*.f64 #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 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) re #s(literal 1 binary64))) im) |
#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 (exp re) (fma.f64 (fma.f64 (/.f64 re (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)) #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(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)) |
(fma.f64 (fma.f64 (/.f64 re (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)) #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(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)) |
(fma.f64 (/.f64 re (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)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 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))) |
(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)) |
#s(literal 1/36 binary64) |
(*.f64 re re) |
re |
#s(literal -1/4 binary64) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
im |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.171875 | (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) | |
| accuracy | 16.88002156340703 | (/.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))) | |
| accuracy | 20.96486204771255 | #s(approx (* (exp re) (sin im)) (*.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))) im)) | |
| accuracy | 21.028190781530515 | #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))) | |
| accuracy | 0.05078125 | (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im) | |
| accuracy | 0.1953125 | (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) | |
| accuracy | 22.513682516984737 | #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) | |
| accuracy | 33.42105668267271 | #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im)) | |
| accuracy | 0.046875 | (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re) | |
| accuracy | 20.96486204771255 | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) | |
| accuracy | 22.505361130651284 | #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))) | |
| accuracy | 31.196848707516217 | #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)) | |
| accuracy | 0.0 | (fma.f64 im re im) | |
| accuracy | 20.96486204771255 | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im))) | |
| accuracy | 26.851410709437133 | #s(approx (* (exp re) im) (fma.f64 im re im)) | |
| accuracy | 0.0 | (sin.f64 im) | |
| accuracy | 0.0078125 | (*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) | |
| accuracy | 16.766600143771 | (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64))) | |
| accuracy | 30.597601222362407 | #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) |
| 101.0ms | 256× | 0 | valid |
Compiled 222 to 45 computations (79.7% saved)
const: 29.0ms (36.3% of total)ival-mult: 26.0ms (32.6% of total)ival-add: 12.0ms (15% of total)ival-sin: 6.0ms (7.5% of total)ival-div: 3.0ms (3.8% of total)ival-exp: 2.0ms (2.5% of total)ival-sub: 1.0ms (1.3% of total)exact: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64))) |
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) |
#s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) |
(fma.f64 re re #s(literal -1 binary64)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im))) |
#s(approx (* (exp re) im) (fma.f64 im re im)) |
(fma.f64 im re im) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))) |
#s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im 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)) |
#s(approx (* (exp re) (sin im)) (*.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))) im)) |
(*.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))) im) |
#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))) |
(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)) |
(sin.f64 im) |
#s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 im im)) |
(/.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))) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) |
| Outputs |
|---|
1 |
(+ 1 re) |
(sin im) |
(+ (sin im) (* re (sin im))) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
-1 |
(- (pow re 2) 1) |
im |
(+ im (* im re)) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) |
(* im re) |
(* re (+ im (* 1/2 (* im re)))) |
1/2 |
(+ 1/2 (* 1/6 re)) |
-1/2 |
(- (* 1/6 re) 1/2) |
re |
(* re (+ 1 (/ 1 re))) |
(* (exp re) (sin im)) |
(exp re) |
(pow re 2) |
(* (pow re 2) (- 1 (/ 1 (pow re 2)))) |
(* im (exp re)) |
(* re (+ im (/ im re))) |
(* 1/2 (* im (pow re 2))) |
(* (pow re 2) (+ (* 1/2 im) (/ im re))) |
(* (pow re 2) (+ (* 1/2 im) (+ (/ im re) (/ im (pow re 2))))) |
(* 1/2 (pow re 2)) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(* 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 re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (- 1/6 (* 1/2 (/ 1 re)))) |
(* -1 (* re (+ (* -1 im) (* -1 (/ im re))))) |
(* (pow re 2) (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) |
(* -1 (* re (- (* 1/2 (/ 1 re)) 1/6))) |
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) |
(* im (+ 1 re)) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* im (* re (+ 1 (* 1/2 re)))) |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))) |
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) |
(* -1/6 (pow im 2)) |
(* -1/6 (pow im 3)) |
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6)) |
(* -1 (* im (- (* -1 re) 1))) |
(* -1 (* im (- (* re (- (* -1/2 re) 1)) 1))) |
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | im | @ | inf | ((/ (+ (* re re) -1) (- re 1)) (* (exp re) (sin im)) (exp re) (+ (* re re) -1) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im re) 1/2) im) re) im) (* (* (+ (* 1/2 re) 1) im) re) (+ (* (* -1/6 (* im im)) im) im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) re) 1) re) 1) (sin im) (sin im) (* -1/6 (* im im)) (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) (+ (* 1/6 re) -1/2)) |
| 5.0ms | re | @ | -inf | ((/ (+ (* re re) -1) (- re 1)) (* (exp re) (sin im)) (exp re) (+ (* re re) -1) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im re) 1/2) im) re) im) (* (* (+ (* 1/2 re) 1) im) re) (+ (* (* -1/6 (* im im)) im) im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) re) 1) re) 1) (sin im) (sin im) (* -1/6 (* im im)) (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) (+ (* 1/6 re) -1/2)) |
| 5.0ms | im | @ | -inf | ((/ (+ (* re re) -1) (- re 1)) (* (exp re) (sin im)) (exp re) (+ (* re re) -1) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im re) 1/2) im) re) im) (* (* (+ (* 1/2 re) 1) im) re) (+ (* (* -1/6 (* im im)) im) im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) re) 1) re) 1) (sin im) (sin im) (* -1/6 (* im im)) (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) (+ (* 1/6 re) -1/2)) |
| 3.0ms | re | @ | inf | ((/ (+ (* re re) -1) (- re 1)) (* (exp re) (sin im)) (exp re) (+ (* re re) -1) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im re) 1/2) im) re) im) (* (* (+ (* 1/2 re) 1) im) re) (+ (* (* -1/6 (* im im)) im) im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) re) 1) re) 1) (sin im) (sin im) (* -1/6 (* im im)) (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) (+ (* 1/6 re) -1/2)) |
| 2.0ms | im | @ | 0 | ((/ (+ (* re re) -1) (- re 1)) (* (exp re) (sin im)) (exp re) (+ (* re re) -1) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im re) 1/2) im) re) im) (* (* (+ (* 1/2 re) 1) im) re) (+ (* (* -1/6 (* im im)) im) im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) re) 1) re) 1) (sin im) (sin im) (* -1/6 (* im im)) (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) (+ (* 1/6 re) -1/2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 172 | 504 |
| 1 | 543 | 481 |
| 2 | 1575 | 468 |
| 3 | 4142 | 462 |
| 4 | 7495 | 462 |
| 0 | 8708 | 402 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 re) |
(sin im) |
(+ (sin im) (* re (sin im))) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
-1 |
(- (pow re 2) 1) |
im |
(+ im (* im re)) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) |
(* im re) |
(* re (+ im (* 1/2 (* im re)))) |
1/2 |
(+ 1/2 (* 1/6 re)) |
-1/2 |
(- (* 1/6 re) 1/2) |
re |
(* re (+ 1 (/ 1 re))) |
(* (exp re) (sin im)) |
(exp re) |
(pow re 2) |
(* (pow re 2) (- 1 (/ 1 (pow re 2)))) |
(* im (exp re)) |
(* re (+ im (/ im re))) |
(* 1/2 (* im (pow re 2))) |
(* (pow re 2) (+ (* 1/2 im) (/ im re))) |
(* (pow re 2) (+ (* 1/2 im) (+ (/ im re) (/ im (pow re 2))))) |
(* 1/2 (pow re 2)) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(* 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 re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (- 1/6 (* 1/2 (/ 1 re)))) |
(* -1 (* re (+ (* -1 im) (* -1 (/ im re))))) |
(* (pow re 2) (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) |
(* -1 (* re (- (* 1/2 (/ 1 re)) 1/6))) |
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) |
(* im (+ 1 re)) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* im (* re (+ 1 (* 1/2 re)))) |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))) |
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) |
(* -1/6 (pow im 2)) |
(* -1/6 (pow im 3)) |
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6)) |
(* -1 (* im (- (* -1 re) 1))) |
(* -1 (* im (- (* re (- (* -1/2 re) 1)) 1))) |
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(-.f64 re #s(literal -1 binary64)) |
(sin im) |
(sin.f64 im) |
(+ (sin im) (* re (sin im))) |
(fma.f64 (sin.f64 im) re (sin.f64 im)) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
(fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) |
(+ 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 |
#s(literal -1 binary64) |
(- (pow re 2) 1) |
(fma.f64 re re #s(literal -1 binary64)) |
im |
(+ im (* im re)) |
(fma.f64 im re im) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) |
(fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im) |
(* im re) |
(*.f64 im re) |
(* re (+ im (* 1/2 (* im re)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 re)) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/6 re) 1/2) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) |
re |
(* re (+ 1 (/ 1 re))) |
(-.f64 re #s(literal -1 binary64)) |
(* (exp re) (sin im)) |
(*.f64 (sin.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)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* re (+ im (/ im re))) |
(fma.f64 im re im) |
(* 1/2 (* im (pow re 2))) |
(*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64)) |
(* (pow re 2) (+ (* 1/2 im) (/ im re))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re) |
(* (pow re 2) (+ (* 1/2 im) (+ (/ im re) (/ im (pow re 2))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
(* 1/2 (pow re 2)) |
(*.f64 (*.f64 re re) #s(literal 1/2 binary64)) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(* 1/6 (pow re 3)) |
(*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(* 1/6 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)) |
(* re (- 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) |
(* -1 (* re (+ (* -1 im) (* -1 (/ im re))))) |
(fma.f64 im re im) |
(* (pow re 2) (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) re) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) |
(*.f64 (-.f64 (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) re) re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) re)) re) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64))) |
(* -1 (* re (- (* 1/2 (/ 1 re)) 1/6))) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) |
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) |
(*.f64 (exp.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(*.f64 (*.f64 (exp.f64 re) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))) im) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (exp.f64 re) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64))) (*.f64 im (exp.f64 re))) |
(* im (+ 1 re)) |
(fma.f64 im re im) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im) |
(* im (* re (+ 1 (* 1/2 re)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re) |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) |
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im) |
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) |
(* -1/6 (pow im 2)) |
(*.f64 (*.f64 im im) #s(literal -1/6 binary64)) |
(* -1/6 (pow im 3)) |
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6)) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) |
(* -1 (* im (- (* -1 re) 1))) |
(fma.f64 im re im) |
(* -1 (* im (- (* re (- (* -1/2 re) 1)) 1))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal -1 binary64)) re) (neg.f64 im) im) |
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 316 |
| 0 | 79 | 316 |
| 1 | 276 | 268 |
| 2 | 1950 | 268 |
| 0 | 8419 | 254 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64))) |
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) |
#s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) |
(fma.f64 re re #s(literal -1 binary64)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im))) |
#s(approx (* (exp re) im) (fma.f64 im re im)) |
(fma.f64 im re im) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))) |
#s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im 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)) |
#s(approx (* (exp re) (sin im)) (*.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))) im)) |
(*.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))) im) |
#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))) |
(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)) |
(sin.f64 im) |
#s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 im im)) |
(/.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))) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) re)) #s(literal -1 binary64)) (/.f64 (-.f64 re #s(literal 1 binary64)) (-.f64 re #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 re re (+.f64 #s(literal 1 binary64) re)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 re re) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 re re (+.f64 #s(literal 1 binary64) re)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 re #s(literal 1 binary64)) (-.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) re) (pow.f64 (fma.f64 re re (+.f64 #s(literal 1 binary64) re)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) (/.f64 (neg.f64 (-.f64 re #s(literal 1 binary64))) (-.f64 re #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 re re #s(literal 1 binary64)) (-.f64 re #s(literal 1 binary64))) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re re #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 re re #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 re re) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) re) (-.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 re #s(literal 1 binary64)) (pow.f64 (fma.f64 re re (+.f64 #s(literal 1 binary64) re)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 re #s(literal 1 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 re #s(literal 1 binary64)) (+.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 re re) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re re #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) re)) |
(*.f64 (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 re re (+.f64 #s(literal 1 binary64) re)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 re re (+.f64 #s(literal 1 binary64) re))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 re re #s(literal -1 binary64))) (/.f64 (-.f64 re #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 (-.f64 re #s(literal 1 binary64)) (-.f64 re #s(literal 1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (-.f64 re #s(literal 1 binary64)) (pow.f64 (-.f64 re #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 1 binary64)) |
(*.f64 (fma.f64 re re #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 re #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 re re #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 re #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 re re #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) re) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (fma.f64 re re #s(literal -1 binary64))) (pow.f64 (neg.f64 (-.f64 re #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) |
(*.f64 (fma.f64 re re #s(literal -1 binary64)) (pow.f64 (-.f64 re #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.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)))) (neg.f64 (fma.f64 re re #s(literal 1 binary64)))) |
(/.f64 (neg.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)))) (neg.f64 (-.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 re re) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 re re #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 re #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re))) (neg.f64 (-.f64 #s(literal 1 binary64) re))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) re)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 re re #s(literal -1 binary64))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 re #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 re re #s(literal 1 binary64)) (-.f64 re #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 re re) #s(literal -1 binary64))) (-.f64 re #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 re re (-.f64 #s(literal 1 binary64) re)))) |
(/.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 re re #s(literal 1 binary64))) |
(/.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))) (-.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 re re) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 re re #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 re #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re)) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) re))) |
(/.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 re re (-.f64 #s(literal 1 binary64) re))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 re re #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 re #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 re #s(literal 1 binary64)) (fma.f64 re re #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (-.f64 re #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 re re) #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 re re #s(literal 1 binary64)) (-.f64 re #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 re re) #s(literal -1 binary64))) (-.f64 re #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 re #s(literal 1 binary64)) (fma.f64 re re #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 re #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 re re) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 re re #s(literal -1 binary64))) (neg.f64 (-.f64 re #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1 binary64))) |
(/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 re re #s(literal -1 binary64))) (-.f64 re #s(literal 1 binary64)))) |
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(fma.f64 (exp.f64 (log.f64 re)) (exp.f64 (log.f64 re)) #s(literal -1 binary64)) |
(fma.f64 (+.f64 #s(literal 1 binary64) re) re (*.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1 binary64))) |
(fma.f64 (*.f64 re re) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 re re) #s(literal -1 binary64)) |
(fma.f64 re (+.f64 #s(literal 1 binary64) re) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) re))) |
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(-.f64 (*.f64 re re) #s(literal 1 binary64)) |
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#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im))) |
#s(approx (* (exp re) im) (fma.f64 im re im)) |
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(fma.f64 im re im) |
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(+.f64 (*.f64 im re) im) |
(+.f64 im (*.f64 im re)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))) |
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(*.f64 (*.f64 im re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal -1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal -1/8 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal -1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal -1/8 binary64))))) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))) (/.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 4 binary64)) (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 #s(literal 1/16 binary64) (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 (*.f64 re re) #s(literal 1/36 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 #s(literal 1/6 binary64) re) #s(literal -1/2 binary64)) |
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)) |
Compiled 12 825 to 2 225 computations (82.7% saved)
28 alts after pruning (16 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 395 | 10 | 405 |
| Fresh | 3 | 6 | 9 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 8 | 8 |
| Total | 399 | 28 | 427 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (exp.f64 re) (sin.f64 im)) |
| ✓ | 67.1% | (*.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))) (sin.f64 im)) |
| ✓ | 64.8% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) |
| 37.2% | (*.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 (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im))) | |
| ✓ | 37.2% | (*.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 (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
| 58.4% | (*.f64 #s(approx (exp re) (/.f64 #s(approx (+ (* re re) -1) #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) | |
| ✓ | 52.1% | (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
| 14.5% | (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) | |
| 14.5% | (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) | |
| ✓ | 67.2% | #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
| ✓ | 37.3% | #s(approx (* (exp re) (sin im)) (*.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))) im)) |
| 27.7% | #s(approx (* (exp re) (sin im)) (*.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)) (/.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))))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) | |
| 37.3% | #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.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) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) | |
| 37.3% | #s(approx (* (exp re) (sin im)) (*.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))) im)) | |
| 37.3% | #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 #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))))) im)) | |
| 28.8% | #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im)) | |
| 14.9% | #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 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))) im)) | |
| 14.9% | #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 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))) im)) | |
| ✓ | 26.3% | #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
| ✓ | 51.5% | #s(approx (* (exp re) (sin im)) (sin.f64 im)) |
| 36.7% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))) | |
| ✓ | 33.6% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im))) |
| ✓ | 28.8% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im))) |
| 11.3% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 im re))))) | |
| ✓ | 11.3% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
| 13.8% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64))))) | |
| 6.5% | #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) im) re) (*.f64 im re))))) | |
| 31.9% | #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im))) |
Compiled 1 560 to 670 computations (57.1% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) im) re) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 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))) im)) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 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))) im)) |
#s(approx (* (exp re) (sin im)) (*.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))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))) |
#s(approx (* (exp re) (sin 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))) im)) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 #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))))) im)) |
#s(approx (* (exp re) (sin im)) (*.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))) im)) |
#s(approx (* (exp re) (sin im)) (*.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))) im)) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.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) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) (*.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)) (/.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))))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (/.f64 #s(approx (+ (* re re) -1) #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 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))) (sin.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))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (fma.f64 (sin.f64 im) re (sin.f64 im))) |
| Outputs |
|---|
(*.f64 (exp.f64 re) (sin.f64 im)) |
5 calls:
| 46.0ms | re |
| 12.0ms | (sin.f64 im) |
| 12.0ms | im |
| 11.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 10.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | re |
| 100.0% | 1 | im |
| 100.0% | 1 | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 100.0% | 1 | (exp.f64 re) |
| 100.0% | 1 | (sin.f64 im) |
Compiled 11 to 15 computations (-36.4% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) im) re) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 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))) im)) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 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))) im)) |
#s(approx (* (exp re) (sin im)) (*.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))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))) |
#s(approx (* (exp re) (sin 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))) im)) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 #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))))) im)) |
#s(approx (* (exp re) (sin im)) (*.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))) im)) |
#s(approx (* (exp re) (sin im)) (*.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))) im)) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.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) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) (*.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)) (/.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))))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (/.f64 #s(approx (+ (* re re) -1) #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 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))) (sin.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))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im)) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) 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))) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) 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))) (sin.f64 im)) |
5 calls:
| 45.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 11.0ms | im |
| 11.0ms | re |
| 11.0ms | (sin.f64 im) |
| 9.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 4 | re |
| 83.6% | 2 | im |
| 99.6% | 5 | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 93.6% | 2 | (exp.f64 re) |
| 84.3% | 3 | (sin.f64 im) |
Compiled 11 to 15 computations (-36.4% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) im) re) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 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))) im)) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 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))) im)) |
#s(approx (* (exp re) (sin im)) (*.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))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))) |
#s(approx (* (exp re) (sin 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))) im)) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 #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))))) im)) |
#s(approx (* (exp re) (sin im)) (*.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))) im)) |
#s(approx (* (exp re) (sin im)) (*.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))) im)) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.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) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) (*.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)) (/.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))))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (/.f64 #s(approx (+ (* re re) -1) #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 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))) (sin.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))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) 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))) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) 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))) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
2 calls:
| 11.0ms | re |
| 10.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 4 | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 97.6% | 4 | re |
Compiled 6 to 7 computations (-16.7% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) im) re) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 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))) im)) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 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))) im)) |
#s(approx (* (exp re) (sin im)) (*.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))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))) |
#s(approx (* (exp re) (sin 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))) im)) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 #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))))) im)) |
#s(approx (* (exp re) (sin im)) (*.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))) im)) |
#s(approx (* (exp re) (sin im)) (*.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))) im)) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.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) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) (*.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)) (/.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))))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (/.f64 #s(approx (+ (* re re) -1) #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (sin.f64 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))) (sin.f64 im)) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
2 calls:
| 10.0ms | re |
| 9.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 4 | re |
| 99.1% | 5 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 6 to 7 computations (-16.7% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) im) re) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 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))) im)) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 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))) im)) |
#s(approx (* (exp re) (sin im)) (*.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))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))) |
#s(approx (* (exp re) (sin 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))) im)) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 #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))))) im)) |
#s(approx (* (exp re) (sin im)) (*.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))) im)) |
#s(approx (* (exp re) (sin im)) (*.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))) im)) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.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) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) (*.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)) (/.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))))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
2 calls:
| 9.0ms | re |
| 8.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.8% | 3 | re |
| 99.0% | 5 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 6 to 7 computations (-16.7% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) im) re) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 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))) im)) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 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))) im)) |
#s(approx (* (exp re) (sin im)) (*.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))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))) |
#s(approx (* (exp re) (sin 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))) im)) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 #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))))) im)) |
#s(approx (* (exp re) (sin im)) (*.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))) im)) |
#s(approx (* (exp re) (sin im)) (*.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))) im)) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.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) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) (*.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)) (/.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))))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
1 calls:
| 8.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 5 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 5 to 5 computations (0% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) im) re) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 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))) im)) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 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))) im)) |
#s(approx (* (exp re) (sin im)) (*.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))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))) |
#s(approx (* (exp re) (sin 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))) im)) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 #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))))) im)) |
#s(approx (* (exp re) (sin im)) (*.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))) im)) |
#s(approx (* (exp re) (sin im)) (*.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))) im)) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.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) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) (*.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)) (/.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))))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 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))) im)) |
5 calls:
| 66.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 60.0ms | im |
| 8.0ms | (sin.f64 im) |
| 8.0ms | re |
| 6.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.4% | 3 | (sin.f64 im) |
| 57.1% | 2 | im |
| 62.8% | 2 | re |
| 62.7% | 2 | (exp.f64 re) |
| 69.0% | 3 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 11 to 15 computations (-36.4% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) im) re) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 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))) im)) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 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))) im)) |
#s(approx (* (exp re) (sin im)) (*.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))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))) |
#s(approx (* (exp re) (sin 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))) im)) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 #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))))) im)) |
#s(approx (* (exp re) (sin im)) (*.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))) im)) |
#s(approx (* (exp re) (sin im)) (*.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))) im)) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.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) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) (*.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)) (/.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))))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
| 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 (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) |
5 calls:
| 8.0ms | (sin.f64 im) |
| 8.0ms | im |
| 8.0ms | re |
| 7.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 6.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.1% | 2 | (sin.f64 im) |
| 39.2% | 2 | im |
| 37.3% | 1 | (exp.f64 re) |
| 37.3% | 1 | re |
| 44.1% | 2 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 11 to 15 computations (-36.4% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) im) re) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 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))) im)) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 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))) im)) |
#s(approx (* (exp re) (sin im)) (*.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))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))) |
#s(approx (* (exp re) (sin 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))) im)) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) |
2 calls:
| 25.0ms | (sin.f64 im) |
| 5.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.9% | 2 | (sin.f64 im) |
| 43.9% | 2 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 7 to 8 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) im) re) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 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))) im)) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 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))) im)) |
#s(approx (* (exp re) (sin im)) (*.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))) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))) |
#s(approx (* (exp re) (sin 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))) im)) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) |
3 calls:
| 5.0ms | im |
| 5.0ms | (sin.f64 im) |
| 5.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.3% | 1 | im |
| 37.3% | 1 | (sin.f64 im) |
| 37.3% | 1 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 8 to 10 computations (-25% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) im) re) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 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))) im)) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 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))) im)) |
#s(approx (* (exp re) (sin im)) (*.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))) im)) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) (*.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))) im)) |
5 calls:
| 65.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 5.0ms | im |
| 5.0ms | (sin.f64 im) |
| 4.0ms | re |
| 4.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.2% | 1 | re |
| 37.2% | 1 | (exp.f64 re) |
| 37.2% | 1 | im |
| 37.2% | 1 | (sin.f64 im) |
| 37.2% | 1 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 11 to 15 computations (-36.4% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) im) re) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 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))) im)) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 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))) im)) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
5 calls:
| 51.0ms | (sin.f64 im) |
| 4.0ms | im |
| 4.0ms | re |
| 4.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 3.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.2% | 1 | re |
| 36.2% | 1 | (exp.f64 re) |
| 36.2% | 1 | im |
| 36.2% | 1 | (sin.f64 im) |
| 36.2% | 1 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 11 to 15 computations (-36.4% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) im) re) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im))) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))) |
5 calls:
| 54.0ms | (sin.f64 im) |
| 3.0ms | im |
| 3.0ms | re |
| 3.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 3.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 33.6% | 1 | im |
| 33.6% | 1 | (sin.f64 im) |
| 36.5% | 2 | re |
| 36.5% | 2 | (exp.f64 re) |
| 36.5% | 2 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 11 to 15 computations (-36.4% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) im) re) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im)) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im))) |
5 calls:
| 2.0ms | re |
| 2.0ms | (sin.f64 im) |
| 2.0ms | im |
| 2.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 2.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.8% | 1 | im |
| 28.8% | 1 | (sin.f64 im) |
| 28.8% | 1 | re |
| 28.8% | 1 | (exp.f64 re) |
| 28.8% | 1 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 11 to 15 computations (-36.4% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) im) re) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) im) re) (*.f64 im re))))) |
5 calls:
| 33.0ms | re |
| 2.0ms | im |
| 1.0ms | (sin.f64 im) |
| 1.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 1.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 29.0% | 2 | re |
| 29.0% | 2 | (exp.f64 re) |
| 29.2% | 2 | im |
| 28.7% | 2 | (sin.f64 im) |
| 29.0% | 2 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 11 to 15 computations (-36.4% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) im) re) (*.f64 im re))))) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) im) re) (*.f64 im re))))) |
5 calls:
| 1.0ms | im |
| 1.0ms | (sin.f64 im) |
| 1.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 1.0ms | re |
| 1.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 6.5% | 1 | (sin.f64 im) |
| 6.5% | 1 | re |
| 6.5% | 1 | (exp.f64 re) |
| 6.5% | 1 | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 6.5% | 1 | im |
Compiled 11 to 15 computations (-36.4% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 39.0ms | 3.666186323568995e+91 | 4.122007525162111e+95 |
| 16.0ms | 0.0010737409988005714 | 5735732.060747375 |
| 13.0ms | -0.00024160469298282705 | -1.9877696782597316e-7 |
| 52.0ms | 416× | 0 | valid |
Compiled 990 to 744 computations (24.8% saved)
ival-sin: 10.0ms (59.6% of total)ival-exp: 4.0ms (23.9% of total)ival-mult: 3.0ms (17.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9997631994204221 | +inf |
| 0.0ms | 7.29349486427973e-57 | 4.908383357269943e-46 |
| 0.0ms | -0.13451518231095505 | 0.0 |
Compiled 8 to 10 computations (-25% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9997631994204221 | +inf |
| 0.0ms | 7.29349486427973e-57 | 4.908383357269943e-46 |
| 0.0ms | -0.13451518231095505 | 0.0 |
| 0.0ms | -inf | -0.9999913588383236 |
Compiled 8 to 10 computations (-25% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9997631994204221 | +inf |
| 0.0ms | 7.29349486427973e-57 | 4.908383357269943e-46 |
| 0.0ms | -0.13451518231095505 | 0.0 |
| 0.0ms | -inf | -0.9999913588383236 |
Compiled 8 to 10 computations (-25% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9997631994204221 | +inf |
| 0.0ms | 7.29349486427973e-57 | 4.908383357269943e-46 |
| 0.0ms | -0.13451518231095505 | 0.0 |
| 0.0ms | -inf | -0.9999913588383236 |
Compiled 8 to 10 computations (-25% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9997631994204221 | +inf |
| 0.0ms | -inf | -0.9999913588383236 |
Compiled 8 to 10 computations (-25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 2.299732919631908e-308 |
Compiled 8 to 10 computations (-25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 2.299732919631908e-308 |
Compiled 8 to 10 computations (-25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.46692249276404924 | 0.677791244547475 |
Compiled 8 to 10 computations (-25% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 3444924952232.728 | 4805310437497.148 |
| 5.0ms | 64× | 0 | valid |
Compiled 200 to 142 computations (29% saved)
ival-sin: 2.0ms (62.6% of total)ival-exp: 1.0ms (31.3% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 151 | 846 |
| 1 | 190 | 816 |
| 2 | 239 | 816 |
| 3 | 347 | 816 |
| 4 | 520 | 816 |
| 5 | 689 | 816 |
| 6 | 1105 | 816 |
| 7 | 1245 | 816 |
| 8 | 1245 | 816 |
| 9 | 1245 | 816 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (exp.f64 re) (sin.f64 im)) |
(if (<=.f64 re #s(literal -8854437155380585/36893488147419103232 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 re #s(literal 5314247560297185/18014398509481984 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))) (sin.f64 im)) (if (<=.f64 re #s(literal 400000000000000008087551650862378795430438529285743096455110742483201601999265723743479131013120 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) 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))) (sin.f64 im))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -3602879701896397/36028797018963968 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))) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4417117661945961/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 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))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4417117661945961/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 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))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4417117661945961/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4417117661945961/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 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))) im)))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 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 (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) (*.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))) im)) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1/2 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im))) |
(if (<=.f64 im #s(literal 4350000000000 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) im) re) (*.f64 im re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) im) re) (*.f64 im re))))) |
| Outputs |
|---|
(*.f64 (exp.f64 re) (sin.f64 im)) |
(if (<=.f64 re #s(literal -8854437155380585/36893488147419103232 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 re #s(literal 5314247560297185/18014398509481984 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))) (sin.f64 im)) (if (<=.f64 re #s(literal 400000000000000008087551650862378795430438529285743096455110742483201601999265723743479131013120 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) 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))) (sin.f64 im))))) |
(if (<=.f64 re #s(literal -8854437155380585/36893488147419103232 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (or (<=.f64 re #s(literal 5314247560297185/18014398509481984 binary64)) (not (<=.f64 re #s(literal 400000000000000008087551650862378795430438529285743096455110742483201601999265723743479131013120 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))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im)))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -3602879701896397/36028797018963968 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))) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4417117661945961/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 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))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))) |
(if (or (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) (not (or (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4417117661945961/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) (not (<=.f64 (*.f64 (exp.f64 re) (sin.f64 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))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4417117661945961/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 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))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (or (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4417117661945961/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) (not (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)))) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4417117661945961/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) (if (or (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) (not (or (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4417117661945961/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) (not (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)))))) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4417117661945961/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) (if (or (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) (not (or (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4417117661945961/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) (not (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)))))) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 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))) im)))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 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 (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) |
#s(approx (* (exp re) (sin im)) (*.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))) im)) |
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1/2 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im))) |
(if (<=.f64 im #s(literal 4350000000000 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) im) re) (*.f64 im re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im re) 1/2) im) re) im) #s(approx (* (* (+ (* 1/2 re) 1) im) re) (*.f64 im re))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 192 |
| 1 | 221 | 181 |
| 2 | 584 | 169 |
| 3 | 1576 | 163 |
| 4 | 2434 | 163 |
| 5 | 3117 | 163 |
| 6 | 3586 | 163 |
| 7 | 3734 | 163 |
| 8 | 4023 | 163 |
| 9 | 5924 | 163 |
| 0 | 8211 | 141 |
| 0 | 43 | 272 |
| 0 | 70 | 272 |
| 1 | 210 | 272 |
| 2 | 1304 | 272 |
| 0 | 8345 | 272 |
| 0 | 163 | 510 |
| 1 | 530 | 485 |
| 2 | 1524 | 470 |
| 3 | 3975 | 465 |
| 4 | 7136 | 465 |
| 0 | 8179 | 402 |
| 0 | 172 | 504 |
| 1 | 543 | 481 |
| 2 | 1575 | 468 |
| 3 | 4142 | 462 |
| 4 | 7495 | 462 |
| 0 | 8708 | 402 |
| 0 | 125 | 381 |
| 1 | 406 | 366 |
| 2 | 1114 | 344 |
| 3 | 3932 | 338 |
| 4 | 7432 | 338 |
| 0 | 8144 | 287 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 257 to 550 computations (56.2% saved)
(negabs im)
Compiled 1 662 to 334 computations (79.9% saved)
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