
Time bar (total: 10.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 2 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 3 |
| 87.5% | 87.5% | 12.5% | 0% | 0% | 0% | 0% | 4 |
| 93.8% | 93.7% | 6.2% | 0% | 0% | 0% | 0% | 5 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 6 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 7 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 8 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 9 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 10 |
| 99.9% | 99.9% | 0.1% | 0% | 0% | 0% | 0% | 11 |
| 100% | 99.9% | 0% | 0% | 0% | 0% | 0% | 12 |
Compiled 10 to 8 computations (20% saved)
| 1.0s | 2 206× | 2 | valid |
| 530.0ms | 4 220× | 0 | valid |
| 258.0ms | 644× | 3 | valid |
| 122.0ms | 1 186× | 1 | valid |
ival-cos: 1.1s (67.2% of total)ival-sub: 206.0ms (12.9% of total)ival-div: 154.0ms (9.6% of total)ival-mult: 82.0ms (5.1% of total)adjust: 68.0ms (4.2% of total)exact: 8.0ms (0.5% of total)ival-true: 5.0ms (0.3% of total)ival-assert: 3.0ms (0.2% of total)| 2× | egg-herbie |
| 408× | accelerator-lowering-fma.f32 |
| 408× | accelerator-lowering-fma.f64 |
| 322× | times-frac |
| 284× | times-frac |
| 272× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 25 |
| 1 | 38 | 25 |
| 2 | 110 | 24 |
| 3 | 304 | 24 |
| 4 | 772 | 24 |
| 5 | 1232 | 24 |
| 6 | 1342 | 24 |
| 7 | 1358 | 24 |
| 0 | 6 | 8 |
| 1 | 15 | 8 |
| 2 | 26 | 8 |
| 3 | 42 | 8 |
| 4 | 78 | 8 |
| 5 | 127 | 8 |
| 6 | 184 | 8 |
| 7 | 319 | 8 |
| 8 | 618 | 8 |
| 9 | 1015 | 8 |
| 10 | 1130 | 8 |
| 0 | 1130 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(/ (- 1 (cos x)) (* x x)) |
| Outputs |
|---|
(/ (- 1 (cos x)) (* x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
| Inputs |
|---|
(/ (- 1 (cos x)) (* x x)) |
(/ (- 1 (cos (neg x))) (* (neg x) (neg x))) |
(neg (/ (- 1 (cos (neg x))) (* (neg x) (neg x)))) |
| Outputs |
|---|
(/ (- 1 (cos x)) (* x x)) |
(/ (- 1 (cos (neg x))) (* (neg x) (neg x))) |
(/ (- 1 (cos x)) (* x x)) |
(neg (/ (- 1 (cos (neg x))) (* (neg x) (neg x)))) |
(/ (+ (cos x) -1) (* x x)) |
(abs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 78 | 1 | (9.163598281584286e+58) | 0 | - | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 60 | 0 | - | 3 | (7.544328628733584e-158) | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (cos.f64 x) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | cancellation | 79 | 4 |
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | u/u | 53 | 0 |
| ↳ | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | underflow | 53 | |
| ↳ | (*.f64 x x) | underflow | 53 | |
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | n/o | 4 | 0 |
| ↳ | (*.f64 x x) | overflow | 64 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 134 | 0 |
| - | 2 | 120 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 134 | 0 | 0 |
| - | 2 | 4 | 116 |
| number | freq |
|---|---|
| 0 | 120 |
| 1 | 136 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 40.0ms | 140× | 2 | valid |
| 21.0ms | 258× | 0 | valid |
| 12.0ms | 22× | 3 | valid |
| 10.0ms | 92× | 1 | valid |
Compiled 60 to 28 computations (53.3% saved)
ival-cos: 46.0ms (70.7% of total)ival-div: 6.0ms (9.2% of total)ival-sub: 5.0ms (7.7% of total)adjust: 4.0ms (6.1% of total)ival-mult: 4.0ms (6.1% of total)exact: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.5% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | -64 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (cos.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 408× | accelerator-lowering-fma.f32 |
| 408× | accelerator-lowering-fma.f64 |
| 284× | times-frac |
| 272× | *-lowering-*.f32 |
| 272× | *-lowering-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 19 |
| 1 | 15 | 19 |
| 2 | 26 | 19 |
| 3 | 42 | 19 |
| 4 | 78 | 19 |
| 5 | 127 | 19 |
| 6 | 184 | 19 |
| 7 | 319 | 19 |
| 8 | 618 | 19 |
| 9 | 1015 | 19 |
| 10 | 1130 | 19 |
| 0 | 1130 | 19 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (- 1 (cos x)) (* x x)) |
(- 1 (cos x)) |
1 |
(cos x) |
x |
(* x x) |
| Outputs |
|---|
(/ (- 1 (cos x)) (* x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(cos x) |
(cos.f64 x) |
x |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 78.6% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ✓ | accuracy | 73.0% | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 35.0ms | 70× | 2 | valid |
| 14.0ms | 129× | 0 | valid |
| 6.0ms | 11× | 3 | valid |
| 5.0ms | 46× | 1 | valid |
Compiled 21 to 8 computations (61.9% saved)
ival-cos: 39.0ms (80.1% of total)ival-div: 3.0ms (6.2% of total)ival-sub: 3.0ms (6.2% of total)adjust: 2.0ms (4.1% of total)ival-mult: 2.0ms (4.1% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (- 1 (cos x)) (* x x))> |
#<alt (- 1 (cos x))> |
#<alt (cos x)> |
#<alt (* x x)> |
| Outputs |
|---|
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (/ (- 1 (cos x)) (* x x)) |
| 0.0ms | x | @ | inf | (* x x) |
| 0.0ms | x | @ | -inf | (/ (- 1 (cos x)) (* x x)) |
| 0.0ms | x | @ | 0 | (/ (- 1 (cos x)) (* x x)) |
| 0.0ms | x | @ | 0 | (cos x) |
| 1× | batch-egg-rewrite |
| 4 736× | /-lowering-/.f32 |
| 4 736× | /-lowering-/.f64 |
| 3 980× | accelerator-lowering-fma.f32 |
| 3 980× | accelerator-lowering-fma.f64 |
| 3 064× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 1 | 36 | 17 |
| 2 | 264 | 17 |
| 3 | 2800 | 17 |
| 0 | 9643 | 17 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- 1 (cos x)) (* x x)) |
(- 1 (cos x)) |
(cos x) |
(* x x) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 1 binary64))) |
(+.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 x (/.f64 (cos.f64 x) x)) (*.f64 x x))) |
(-.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 x x))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 (pow.f64 (/.f64 (cos.f64 x) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))))) |
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(*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) |
(exp.f64 (log.f64 (cos.f64 x))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64))) |
(cos.f64 x) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x))) |
(pow.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 x)) |
(*.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) #s(literal 0 binary64))) |
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) #s(literal 0 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 x (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) x))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 x (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(*.f64 x (/.f64 x #s(literal 1 binary64))) |
(*.f64 x (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 x (pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) x) x) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) x) |
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
| 1× | egg-herbie |
| 16 752× | accelerator-lowering-fma.f32 |
| 16 752× | accelerator-lowering-fma.f64 |
| 3 896× | *-lowering-*.f32 |
| 3 896× | *-lowering-*.f64 |
| 1 568× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 284 |
| 1 | 105 | 284 |
| 2 | 258 | 284 |
| 3 | 609 | 284 |
| 4 | 1279 | 284 |
| 5 | 2001 | 284 |
| 6 | 2304 | 284 |
| 7 | 3158 | 284 |
| 8 | 4639 | 284 |
| 9 | 6288 | 284 |
| 10 | 7157 | 284 |
| 11 | 7373 | 284 |
| 12 | 7391 | 284 |
| 13 | 7393 | 284 |
| 14 | 7798 | 284 |
| 0 | 8007 | 266 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/40320 binary64) #s(literal 0 binary64)) #s(literal 1/720 binary64)) #s(literal 0 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(* 1/2 (pow x 2)) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/40320 binary64) #s(literal 0 binary64)) #s(literal 1/720 binary64)) #s(literal 0 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
Compiled 16 235 to 1 638 computations (89.9% saved)
20 alts after pruning (19 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 658 | 19 | 677 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 658 | 20 | 678 |
| Status | Accuracy | Program |
|---|---|---|
| 51.3% | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) | |
| 51.1% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) | |
| 50.8% | (fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) | |
| 26.1% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) | |
| 51.8% | (/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (-.f64 #s(literal 0 binary64) x)) | |
| 30.9% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| 51.8% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (-.f64 #s(literal 0 binary64) x)) | |
| 43.1% | (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) | |
| 50.5% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 x (/.f64 #s(literal 1 binary64) x))) | |
| ▶ | 50.4% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| ✓ | 50.5% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 26.5% | (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) | |
| 78.0% | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) | |
| 50.5% | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) | |
| 51.3% | (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 0 binary64) x))) (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 (-.f64 #s(literal 0 binary64) x)))) | |
| 50.7% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| ▶ | 51.8% | (*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) |
| ▶ | 78.6% | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
| ▶ | 50.5% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
| ▶ | 51.9% | #s(literal 1/2 binary64) |
Compiled 463 to 284 computations (38.7% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cos.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (cos.f64 x) |
| ✓ | cost-diff | 0 | (+.f64 (cos.f64 x) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) |
| ✓ | cost-diff | 640 | (*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) |
| ✓ | cost-diff | 0 | (cos.f64 x) |
| ✓ | cost-diff | 0 | (+.f64 (cos.f64 x) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (tan.f64 (/.f64 x #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 x) (*.f64 x x)) |
| ✓ | cost-diff | 320 | (/.f64 x #s(literal 2 binary64)) |
| 856× | accelerator-lowering-fma.f32 |
| 856× | accelerator-lowering-fma.f64 |
| 762× | times-frac |
| 720× | *-lowering-*.f32 |
| 720× | *-lowering-*.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 114 |
| 1 | 62 | 108 |
| 2 | 141 | 108 |
| 3 | 385 | 108 |
| 4 | 953 | 108 |
| 5 | 1952 | 108 |
| 6 | 2341 | 108 |
| 7 | 2515 | 108 |
| 8 | 2558 | 108 |
| 9 | 2572 | 108 |
| 10 | 2572 | 108 |
| 11 | 2578 | 108 |
| 0 | 2578 | 108 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (/ (sin x) (* x x)) (tan (/ x 2))) |
(/ (sin x) (* x x)) |
(sin x) |
x |
(* x x) |
(tan (/ x 2)) |
(/ x 2) |
2 |
1/2 |
(* (/ -1 (* x x)) (+ (cos x) -1)) |
(/ -1 (* x x)) |
-1 |
(* x x) |
x |
(+ (cos x) -1) |
(cos x) |
(* (/ (+ (cos x) -1) x) (/ -1 x)) |
(/ (+ (cos x) -1) x) |
(+ (cos x) -1) |
(cos x) |
x |
-1 |
(/ -1 x) |
(/ (- 1 (cos x)) (/ 1 (/ 1 (* x x)))) |
(- 1 (cos x)) |
1 |
(cos x) |
x |
(/ 1 (/ 1 (* x x))) |
(/ 1 (* x x)) |
(* x x) |
| Outputs |
|---|
(* (/ (sin x) (* x x)) (tan (/ x 2))) |
(fma.f64 (sin.f64 x) (/.f64 (tan.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) |
(/ (sin x) (* x x)) |
(/.f64 (sin.f64 x) (fma.f64 x x #s(literal 0 binary64))) |
(sin x) |
(sin.f64 x) |
x |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
(tan (/ x 2)) |
(tan.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))) |
(/ x 2) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) |
2 |
#s(literal 2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
(* (/ -1 (* x x)) (+ (cos x) -1)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (* x x)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
-1 |
#s(literal -1 binary64) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
(+ (cos x) -1) |
(+.f64 #s(literal -1 binary64) (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
(* (/ (+ (cos x) -1) x) (/ -1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(/ (+ (cos x) -1) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(+ (cos x) -1) |
(+.f64 #s(literal -1 binary64) (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
x |
-1 |
#s(literal -1 binary64) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- 1 (cos x)) (/ 1 (/ 1 (* x x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(cos x) |
(cos.f64 x) |
x |
(/ 1 (/ 1 (* x x))) |
(fma.f64 x x #s(literal 0 binary64)) |
(/ 1 (* x x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
| ✓ | accuracy | 99.1% | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | accuracy | 78.6% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 73.0% | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) |
| ✓ | accuracy | 80.0% | (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) |
| ✓ | accuracy | 73.0% | (+.f64 (cos.f64 x) #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 99.1% | (/.f64 #s(literal -1 binary64) (*.f64 x x)) |
| ✓ | accuracy | 78.5% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
| ✓ | accuracy | 73.0% | (+.f64 (cos.f64 x) #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 100.0% | (tan.f64 (/.f64 x #s(literal 2 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
| ✓ | accuracy | 79.4% | (/.f64 (sin.f64 x) (*.f64 x x)) |
| 43.0ms | 69× | 2 | valid |
| 32.0ms | 130× | 0 | valid |
| 15.0ms | 46× | 1 | valid |
| 9.0ms | 11× | 3 | valid |
Compiled 122 to 24 computations (80.3% saved)
ival-div: 23.0ms (30.3% of total)ival-cos: 21.0ms (27.7% of total)ival-mult: 9.0ms (11.9% of total)ival-tan: 6.0ms (7.9% of total)ival-sin: 6.0ms (7.9% of total)adjust: 5.0ms (6.6% of total)ival-sub: 3.0ms (4% of total)ival-add: 2.0ms (2.6% of total)exact: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ x 2)> |
#<alt (/ (sin x) (* x x))> |
#<alt (sin x)> |
#<alt (tan (/ x 2))> |
#<alt (* (/ -1 (* x x)) (+ (cos x) -1))> |
#<alt (/ -1 (* x x))> |
#<alt (+ (cos x) -1)> |
#<alt (cos x)> |
#<alt (* (/ (+ (cos x) -1) x) (/ -1 x))> |
#<alt (/ (+ (cos x) -1) x)> |
#<alt (/ 1 (/ 1 (* x x)))> |
#<alt (/ (- 1 (cos x)) (/ 1 (/ 1 (* x x))))> |
#<alt (- 1 (cos x))> |
#<alt (* (/ (sin x) (* x x)) (tan (/ x 2)))> |
#<alt (/ 1 (* x x))> |
| Outputs |
|---|
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* -1/6 (pow x 2))) x)> |
#<alt (/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)> |
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)> |
#<alt (/ (sin x) (pow x 2))> |
#<alt (/ (sin x) (pow x 2))> |
#<alt (/ (sin x) (pow x 2))> |
#<alt (/ (sin x) (pow x 2))> |
#<alt (/ (sin x) (pow x 2))> |
#<alt (/ (sin x) (pow x 2))> |
#<alt (/ (sin x) (pow x 2))> |
#<alt (/ (sin x) (pow x 2))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1/2 x)> |
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))> |
#<alt (* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))> |
#<alt (* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))> |
#<alt (/ (- (cos x) 1) x)> |
#<alt (/ (- (cos x) 1) x)> |
#<alt (/ (- (cos x) 1) x)> |
#<alt (/ (- (cos x) 1) x)> |
#<alt (/ (- (cos x) 1) x)> |
#<alt (/ (- (cos x) 1) x)> |
#<alt (/ (- (cos x) 1) x)> |
#<alt (/ (- (cos x) 1) x)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (/ (+ (cos x) -1) x) |
| 1.0ms | x | @ | -inf | (/ (sin x) (* x x)) |
| 1.0ms | x | @ | inf | (* (/ (sin x) (* x x)) (tan (/ x 2))) |
| 1.0ms | x | @ | -inf | (* (/ (sin x) (* x x)) (tan (/ x 2))) |
| 0.0ms | x | @ | inf | (* (/ -1 (* x x)) (+ (cos x) -1)) |
| 1× | batch-egg-rewrite |
| 3 566× | *-lowering-*.f32 |
| 3 566× | *-lowering-*.f64 |
| 3 434× | /-lowering-/.f32 |
| 3 434× | /-lowering-/.f64 |
| 2 942× | accelerator-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 85 |
| 1 | 137 | 76 |
| 2 | 999 | 76 |
| 0 | 8304 | 76 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x 2) |
(/ (sin x) (* x x)) |
(sin x) |
(tan (/ x 2)) |
(* (/ -1 (* x x)) (+ (cos x) -1)) |
(/ -1 (* x x)) |
(+ (cos x) -1) |
(cos x) |
(* (/ (+ (cos x) -1) x) (/ -1 x)) |
(/ (+ (cos x) -1) x) |
(/ 1 (/ 1 (* x x))) |
(/ (- 1 (cos x)) (/ 1 (/ 1 (* x x)))) |
(- 1 (cos x)) |
(* (/ (sin x) (* x x)) (tan (/ x 2))) |
(/ 1 (* x x)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/2 binary64))) |
(neg.f64 (*.f64 x #s(literal -1/2 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) |
(/.f64 x #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
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(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x))) |
(*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) x) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) x)) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (sin.f64 x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x)) (/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (*.f64 x x)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 x))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(exp.f64 (fma.f64 #s(literal -2 binary64) (log.f64 x) #s(literal 0 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (log.f64 x) #s(literal 0 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(pow.f64 x #s(literal -2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 1× | egg-herbie |
| 14 524× | accelerator-lowering-fma.f32 |
| 14 524× | accelerator-lowering-fma.f64 |
| 5 334× | *-lowering-*.f32 |
| 5 334× | *-lowering-*.f64 |
| 2 290× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 1302 |
| 1 | 284 | 1278 |
| 2 | 710 | 1272 |
| 3 | 2154 | 1272 |
| 4 | 4099 | 1272 |
| 5 | 4730 | 1272 |
| 6 | 6747 | 1272 |
| 0 | 8034 | 1206 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(/ 1 x) |
(/ (+ 1 (* -1/6 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x) |
(/ (sin x) (pow x 2)) |
(/ (sin x) (pow x 2)) |
(/ (sin x) (pow x 2)) |
(/ (sin x) (pow x 2)) |
(/ (sin x) (pow x 2)) |
(/ (sin x) (pow x 2)) |
(/ (sin x) (pow x 2)) |
(/ (sin x) (pow x 2)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1/2 x) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(/ (- (cos x) 1) x) |
(/ (- (cos x) 1) x) |
(/ (- (cos x) 1) x) |
(/ (- (cos x) 1) x) |
(/ (- (cos x) 1) x) |
(/ (- (cos x) 1) x) |
(/ (- (cos x) 1) x) |
(/ (- (cos x) 1) x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
| Outputs |
|---|
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1/6 (pow x 2))) x) |
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x) |
(/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x) |
(/.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x) |
(/ (sin x) (pow x 2)) |
(/.f64 (sin.f64 x) (fma.f64 x x #s(literal 0 binary64))) |
(/ (sin x) (pow x 2)) |
(/.f64 (sin.f64 x) (fma.f64 x x #s(literal 0 binary64))) |
(/ (sin x) (pow x 2)) |
(/.f64 (sin.f64 x) (fma.f64 x x #s(literal 0 binary64))) |
(/ (sin x) (pow x 2)) |
(/.f64 (sin.f64 x) (fma.f64 x x #s(literal 0 binary64))) |
(/ (sin x) (pow x 2)) |
(/.f64 (sin.f64 x) (fma.f64 x x #s(literal 0 binary64))) |
(/ (sin x) (pow x 2)) |
(/.f64 (sin.f64 x) (fma.f64 x x #s(literal 0 binary64))) |
(/ (sin x) (pow x 2)) |
(/.f64 (sin.f64 x) (fma.f64 x x #s(literal 0 binary64))) |
(/ (sin x) (pow x 2)) |
(/.f64 (sin.f64 x) (fma.f64 x x #s(literal 0 binary64))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(* -1/2 (pow x 2)) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/40320 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) |
(- (cos x) 1) |
(+.f64 #s(literal -1 binary64) (cos.f64 x)) |
(- (cos x) 1) |
(+.f64 #s(literal -1 binary64) (cos.f64 x)) |
(- (cos x) 1) |
(+.f64 #s(literal -1 binary64) (cos.f64 x)) |
(- (cos x) 1) |
(+.f64 #s(literal -1 binary64) (cos.f64 x)) |
(- (cos x) 1) |
(+.f64 #s(literal -1 binary64) (cos.f64 x)) |
(- (cos x) 1) |
(+.f64 #s(literal -1 binary64) (cos.f64 x)) |
(- (cos x) 1) |
(+.f64 #s(literal -1 binary64) (cos.f64 x)) |
(- (cos x) 1) |
(+.f64 #s(literal -1 binary64) (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) |
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/40320 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) |
(/ (- (cos x) 1) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(/ (- (cos x) 1) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(/ (- (cos x) 1) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(/ (- (cos x) 1) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(/ (- (cos x) 1) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(/ (- (cos x) 1) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(/ (- (cos x) 1) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(/ (- (cos x) 1) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
Compiled 36 571 to 2 543 computations (93% saved)
23 alts after pruning (20 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 782 | 14 | 1 796 |
| Fresh | 8 | 6 | 14 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 793 | 23 | 1 816 |
| Status | Accuracy | Program |
|---|---|---|
| 51.3% | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) | |
| ▶ | 50.8% | (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
| 26.4% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (*.f64 x x)) | |
| 51.1% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (neg.f64 (/.f64 (cos.f64 x) x))) x) | |
| 51.3% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (*.f64 x (neg.f64 (/.f64 (cos.f64 x) x)))) (*.f64 x x)) | |
| 26.1% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) | |
| 51.8% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| ▶ | 51.8% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (-.f64 #s(literal 0 binary64) x)) |
| 43.1% | (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) | |
| ✓ | 50.5% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 26.5% | (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) | |
| 78.0% | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) | |
| 51.2% | (/.f64 #s(literal -1 binary64) (*.f64 x (/.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 x))))) | |
| 50.7% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| ▶ | 51.1% | (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
| 30.9% | (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) x) (/.f64 #s(literal -1 binary64) x)) | |
| 78.6% | (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x)) | |
| ▶ | 99.8% | (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x)) |
| ✓ | 50.5% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
| ▶ | 29.2% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
| 51.8% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (cos.f64 x))) (/.f64 #s(literal -1 binary64) x)) | |
| 51.8% | (*.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) | |
| ✓ | 51.9% | #s(literal 1/2 binary64) |
Compiled 526 to 325 computations (38.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (cos.f64 x) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) |
| ✓ | cost-diff | 512 | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (-.f64 #s(literal 0 binary64) x)) |
| ✓ | cost-diff | 896 | (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) |
| ✓ | cost-diff | 0 | (+.f64 (cos.f64 x) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) |
| ✓ | cost-diff | 320 | (/.f64 (/.f64 #s(literal -1 binary64) x) x) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
| ✓ | cost-diff | -64 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 2176 | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
| ✓ | cost-diff | -64 | (*.f64 x #s(literal -1/24 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 x) x) |
| ✓ | cost-diff | 0 | (tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) |
| ✓ | cost-diff | 256 | (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x)) |
| 12 516× | accelerator-lowering-fma.f32 |
| 12 516× | accelerator-lowering-fma.f64 |
| 4 284× | *-lowering-*.f32 |
| 4 284× | *-lowering-*.f64 |
| 1 888× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 130 |
| 1 | 75 | 129 |
| 2 | 199 | 127 |
| 3 | 506 | 124 |
| 4 | 2015 | 123 |
| 5 | 3719 | 123 |
| 6 | 4632 | 123 |
| 7 | 5169 | 123 |
| 8 | 5675 | 123 |
| 9 | 6205 | 123 |
| 10 | 6925 | 123 |
| 0 | 8652 | 122 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (tan (* x 1/2)) x) (/ (sin x) x)) |
(/ (tan (* x 1/2)) x) |
(tan (* x 1/2)) |
(* x 1/2) |
x |
1/2 |
(/ (sin x) x) |
(sin x) |
(+ (* x (* x -1/24)) 1/2) |
x |
(* x -1/24) |
-1/24 |
1/2 |
(* (/ -1 (* x x)) (* (+ (* x x) 0) -1/2)) |
(/ -1 (* x x)) |
-1 |
(* x x) |
x |
(* (+ (* x x) 0) -1/2) |
(+ (* x x) 0) |
0 |
-1/2 |
(* (/ (/ -1 x) x) (+ (cos x) -1)) |
(/ (/ -1 x) x) |
(/ -1 x) |
-1 |
x |
(+ (cos x) -1) |
(cos x) |
(/ (- (/ -1 x) (neg (/ (cos x) x))) (- 0 x)) |
(- (/ -1 x) (neg (/ (cos x) x))) |
(/ -1 x) |
-1 |
x |
(neg (/ (cos x) x)) |
(/ (cos x) x) |
(cos x) |
(- 0 x) |
0 |
| Outputs |
|---|
(* (/ (tan (* x 1/2)) x) (/ (sin x) x)) |
(fma.f64 (tan.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))) (/.f64 (sin.f64 x) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) |
(/ (tan (* x 1/2)) x) |
(/.f64 (tan.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))) x) |
(tan (* x 1/2)) |
(tan.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))) |
(* x 1/2) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) |
x |
1/2 |
#s(literal 1/2 binary64) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(sin x) |
(sin.f64 x) |
(+ (* x (* x -1/24)) 1/2) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
x |
(* x -1/24) |
(fma.f64 x #s(literal -1/24 binary64) #s(literal 0 binary64)) |
-1/24 |
#s(literal -1/24 binary64) |
1/2 |
#s(literal 1/2 binary64) |
(* (/ -1 (* x x)) (* (+ (* x x) 0) -1/2)) |
#s(literal 1/2 binary64) |
(/ -1 (* x x)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
-1 |
#s(literal -1 binary64) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
(* (+ (* x x) 0) -1/2) |
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
-1/2 |
#s(literal -1/2 binary64) |
(* (/ (/ -1 x) x) (+ (cos x) -1)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(/ (/ -1 x) x) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
-1 |
#s(literal -1 binary64) |
x |
(+ (cos x) -1) |
(+.f64 #s(literal -1 binary64) (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
(/ (- (/ -1 x) (neg (/ (cos x) x))) (- 0 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(- (/ -1 x) (neg (/ (cos x) x))) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
-1 |
#s(literal -1 binary64) |
x |
(neg (/ (cos x) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x)) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(cos x) |
(cos.f64 x) |
(- 0 x) |
(-.f64 #s(literal 0 binary64) x) |
0 |
#s(literal 0 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 99.9% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (-.f64 #s(literal 0 binary64) x)) |
| ✓ | accuracy | 99.8% | (/.f64 (cos.f64 x) x) |
| ✓ | accuracy | 52.3% | (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 #s(literal -1 binary64) x) x) |
| ✓ | accuracy | 78.5% | (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
| ✓ | accuracy | 73.0% | (+.f64 (cos.f64 x) #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 99.1% | (/.f64 #s(literal -1 binary64) (*.f64 x x)) |
| ✓ | accuracy | 54.3% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal -1/24 binary64)) |
| ✓ | accuracy | 100.0% | (tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x)) |
| ✓ | accuracy | 99.8% | (/.f64 (sin.f64 x) x) |
| ✓ | accuracy | 99.8% | (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) |
| 83.0ms | 129× | 0 | valid |
| 44.0ms | 53× | 2 | valid |
| 35.0ms | 74× | 1 | valid |
Compiled 148 to 32 computations (78.4% saved)
ival-cos: 64.0ms (47.8% of total)ival-div: 20.0ms (14.9% of total)ival-mult: 18.0ms (13.4% of total)adjust: 6.0ms (4.5% of total)ival-tan: 6.0ms (4.5% of total)ival-add: 5.0ms (3.7% of total)ival-sin: 5.0ms (3.7% of total)const: 4.0ms (3% of total)ival-sub: 3.0ms (2.2% of total)ival-neg: 2.0ms (1.5% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ (tan (* x 1/2)) x) (/ (sin x) x))> |
#<alt (/ (tan (* x 1/2)) x)> |
#<alt (tan (* x 1/2))> |
#<alt (/ (sin x) x)> |
#<alt (+ (* x (* x -1/24)) 1/2)> |
#<alt (* x -1/24)> |
#<alt (* (/ -1 (* x x)) (* (+ (* x x) 0) -1/2))> |
#<alt (/ -1 (* x x))> |
#<alt (+ (* x x) 0)> |
#<alt (* x x)> |
#<alt (* (/ (/ -1 x) x) (+ (cos x) -1))> |
#<alt (/ (/ -1 x) x)> |
#<alt (/ -1 x)> |
#<alt (+ (cos x) -1)> |
#<alt (- (/ -1 x) (neg (/ (cos x) x)))> |
#<alt (/ (- (/ -1 x) (neg (/ (cos x) x))) (- 0 x))> |
#<alt (/ (cos x) x)> |
#<alt (* (+ (* x x) 0) -1/2)> |
#<alt (cos x)> |
| Outputs |
|---|
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))> |
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))> |
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))> |
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))> |
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))> |
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))> |
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))> |
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))> |
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))> |
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))> |
#<alt (/ (sin x) x)> |
#<alt (/ (sin x) x)> |
#<alt (/ (sin x) x)> |
#<alt (/ (sin x) x)> |
#<alt (/ (sin x) x)> |
#<alt (/ (sin x) x)> |
#<alt (/ (sin x) x)> |
#<alt (/ (sin x) x)> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (* -1/24 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* -1/24 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* -1/24 x)> |
#<alt (* -1/24 x)> |
#<alt (* -1/24 x)> |
#<alt (* -1/24 x)> |
#<alt (* -1/24 x)> |
#<alt (* -1/24 x)> |
#<alt (* -1/24 x)> |
#<alt (* -1/24 x)> |
#<alt (* -1/24 x)> |
#<alt (* -1/24 x)> |
#<alt (* -1/24 x)> |
#<alt (* -1/24 x)> |
#<alt 1/2> |
#<alt 1/2> |
#<alt 1/2> |
#<alt 1/2> |
#<alt 1/2> |
#<alt 1/2> |
#<alt 1/2> |
#<alt 1/2> |
#<alt 1/2> |
#<alt 1/2> |
#<alt 1/2> |
#<alt 1/2> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (* -1/2 x)> |
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))> |
#<alt (* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))> |
#<alt (* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))> |
#<alt (/ (- (cos x) 1) x)> |
#<alt (/ (- (cos x) 1) x)> |
#<alt (/ (- (cos x) 1) x)> |
#<alt (/ (- (cos x) 1) x)> |
#<alt (* -1 (/ (+ 1 (* -1 (cos x))) x))> |
#<alt (* -1 (/ (+ 1 (* -1 (cos x))) x))> |
#<alt (* -1 (/ (+ 1 (* -1 (cos x))) x))> |
#<alt (* -1 (/ (+ 1 (* -1 (cos x))) x))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))> |
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))> |
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))> |
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* -1/2 (pow x 2))) x)> |
#<alt (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)> |
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)> |
#<alt (/ (cos x) x)> |
#<alt (/ (cos x) x)> |
#<alt (/ (cos x) x)> |
#<alt (/ (cos x) x)> |
#<alt (/ (cos x) x)> |
#<alt (/ (cos x) x)> |
#<alt (/ (cos x) x)> |
#<alt (/ (cos x) x)> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (/ (cos x) x) |
| 1.0ms | x | @ | inf | (/ (- (/ -1 x) (neg (/ (cos x) x))) (- 0 x)) |
| 1.0ms | x | @ | -inf | (/ (tan (* x 1/2)) x) |
| 1.0ms | x | @ | -inf | (- (/ -1 x) (neg (/ (cos x) x))) |
| 1.0ms | x | @ | -inf | (/ (sin x) x) |
| 1× | batch-egg-rewrite |
| 4 578× | /-lowering-/.f32 |
| 4 578× | /-lowering-/.f64 |
| 3 140× | accelerator-lowering-fma.f32 |
| 3 140× | accelerator-lowering-fma.f64 |
| 2 978× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 109 |
| 1 | 186 | 99 |
| 2 | 1751 | 91 |
| 0 | 9044 | 90 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (tan (* x 1/2)) x) (/ (sin x) x)) |
(/ (tan (* x 1/2)) x) |
(tan (* x 1/2)) |
(/ (sin x) x) |
(+ (* x (* x -1/24)) 1/2) |
(* x -1/24) |
(* (/ -1 (* x x)) (* (+ (* x x) 0) -1/2)) |
(/ -1 (* x x)) |
(+ (* x x) 0) |
(* x x) |
(* (/ (/ -1 x) x) (+ (cos x) -1)) |
(/ (/ -1 x) x) |
(/ -1 x) |
(+ (cos x) -1) |
(- (/ -1 x) (neg (/ (cos x) x))) |
(/ (- (/ -1 x) (neg (/ (cos x) x))) (- 0 x)) |
(/ (cos x) x) |
(* (+ (* x x) 0) -1/2) |
(cos x) |
| Outputs |
|---|
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 x (sin.f64 x)) x)) |
(/.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (sin.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 x (sin.f64 x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (/.f64 x (sin.f64 x)) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 x (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (sin.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 x (sin.f64 x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (sin.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (sin.f64 x))) (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x) (*.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (sin.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (-.f64 #s(literal 0 binary64) (sin.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sin.f64 x)) (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 (sin.f64 x) x) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (sin.f64 x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)))) |
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) x) x) |
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 x (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (*.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (/.f64 x (sin.f64 x)) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) x)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (/.f64 x (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (sin.f64 x) x)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) (neg.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 x (/.f64 x (sin.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (sin.f64 x)))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (sin.f64 x))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x))) (neg.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)))) (neg.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64))) (neg.f64 (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (neg.f64 (*.f64 (/.f64 x (sin.f64 x)) (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) x))) x) |
(/.f64 (neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (-.f64 #s(literal 0 binary64) (sin.f64 x)))) x) |
(/.f64 (neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (neg.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) x) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))) (neg.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (sin.f64 x) x))) x) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x))) x) |
(pow.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 x (sin.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) #s(literal -1 binary64)) |
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sin.f64 x) x))) |
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sin.f64 x)) x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x)) |
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(*.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) x)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64))) |
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) x) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) x)) (/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (cos.f64 x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) x))) |
(neg.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (cos.f64 x)))) |
(/.f64 (cos.f64 x) x) |
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (cos.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x))) x) |
(/.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (/.f64 x (cos.f64 x)) #s(literal -3 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) x)))))) |
(pow.f64 (/.f64 x (cos.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) x)) |
(*.f64 (/.f64 (cos.f64 x) (fma.f64 x x #s(literal 0 binary64))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (fma.f64 x x #s(literal 0 binary64))) |
(+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64))) |
(+.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal -1/2 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)))) (neg.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64))) (neg.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) x) x) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(+.f64 (*.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x)) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (-.f64 #s(literal 0 binary64) x)))) |
(cos.f64 x) |
(cos.f64 (-.f64 #s(literal 0 binary64) x)) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 #s(literal 0 binary64))) (*.f64 (sin.f64 x) (sin.f64 #s(literal 0 binary64)))) |
(-.f64 (*.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x)) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 x))) |
(fma.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (-.f64 #s(literal 0 binary64) x)))) |
| 1× | egg-herbie |
| 13 952× | accelerator-lowering-fma.f32 |
| 13 952× | accelerator-lowering-fma.f64 |
| 4 198× | *-lowering-*.f32 |
| 4 198× | *-lowering-*.f64 |
| 2 022× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 113 | 1442 |
| 1 | 265 | 1426 |
| 2 | 641 | 1426 |
| 3 | 1460 | 1426 |
| 4 | 2690 | 1426 |
| 5 | 4092 | 1426 |
| 6 | 6539 | 1426 |
| 0 | 8075 | 1357 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* -1/24 (pow x 2))) |
(* -1/24 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* -1/24 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* -1/24 x) |
(* -1/24 x) |
(* -1/24 x) |
(* -1/24 x) |
(* -1/24 x) |
(* -1/24 x) |
(* -1/24 x) |
(* -1/24 x) |
(* -1/24 x) |
(* -1/24 x) |
(* -1/24 x) |
(* -1/24 x) |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(* -1/2 x) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(/ (- (cos x) 1) x) |
(/ (- (cos x) 1) x) |
(/ (- (cos x) 1) x) |
(/ (- (cos x) 1) x) |
(* -1 (/ (+ 1 (* -1 (cos x))) x)) |
(* -1 (/ (+ 1 (* -1 (cos x))) x)) |
(* -1 (/ (+ 1 (* -1 (cos x))) x)) |
(* -1 (/ (+ 1 (* -1 (cos x))) x)) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ 1 x) |
(/ (+ 1 (* -1/2 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/24 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) |
(fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(* -1/24 (pow x 2)) |
(*.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(* -1/24 (pow x 2)) |
(*.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(* -1/24 x) |
(*.f64 #s(literal -1/24 binary64) x) |
(* -1/24 x) |
(*.f64 #s(literal -1/24 binary64) x) |
(* -1/24 x) |
(*.f64 #s(literal -1/24 binary64) x) |
(* -1/24 x) |
(*.f64 #s(literal -1/24 binary64) x) |
(* -1/24 x) |
(*.f64 #s(literal -1/24 binary64) x) |
(* -1/24 x) |
(*.f64 #s(literal -1/24 binary64) x) |
(* -1/24 x) |
(*.f64 #s(literal -1/24 binary64) x) |
(* -1/24 x) |
(*.f64 #s(literal -1/24 binary64) x) |
(* -1/24 x) |
(*.f64 #s(literal -1/24 binary64) x) |
(* -1/24 x) |
(*.f64 #s(literal -1/24 binary64) x) |
(* -1/24 x) |
(*.f64 #s(literal -1/24 binary64) x) |
(* -1/24 x) |
(*.f64 #s(literal -1/24 binary64) x) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1/2 (pow x 2)) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
(- (cos x) 1) |
(+.f64 #s(literal -1 binary64) (cos.f64 x)) |
(- (cos x) 1) |
(+.f64 #s(literal -1 binary64) (cos.f64 x)) |
(- (cos x) 1) |
(+.f64 #s(literal -1 binary64) (cos.f64 x)) |
(- (cos x) 1) |
(+.f64 #s(literal -1 binary64) (cos.f64 x)) |
(- (cos x) 1) |
(+.f64 #s(literal -1 binary64) (cos.f64 x)) |
(- (cos x) 1) |
(+.f64 #s(literal -1 binary64) (cos.f64 x)) |
(- (cos x) 1) |
(+.f64 #s(literal -1 binary64) (cos.f64 x)) |
(- (cos x) 1) |
(+.f64 #s(literal -1 binary64) (cos.f64 x)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
(/ (- (cos x) 1) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(/ (- (cos x) 1) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(/ (- (cos x) 1) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(/ (- (cos x) 1) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(* -1 (/ (+ 1 (* -1 (cos x))) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(* -1 (/ (+ 1 (* -1 (cos x))) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(* -1 (/ (+ 1 (* -1 (cos x))) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(* -1 (/ (+ 1 (* -1 (cos x))) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1/2 (pow x 2))) x) |
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x) |
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x) |
(/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(* -1/2 (pow x 2)) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
Compiled 33 285 to 2 589 computations (92.2% saved)
38 alts after pruning (32 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 500 | 21 | 1 521 |
| Fresh | 4 | 11 | 15 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 506 | 38 | 1 544 |
| Status | Accuracy | Program |
|---|---|---|
| 11.9% | (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (neg.f64 (/.f64 (cos.f64 x) (fma.f64 x x #s(literal 0 binary64))))) | |
| 51.3% | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) | |
| 18.1% | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (neg.f64 (/.f64 (cos.f64 x) (fma.f64 x x #s(literal 0 binary64))))) | |
| 44.8% | (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) x (neg.f64 (/.f64 (cos.f64 x) (fma.f64 x x #s(literal 0 binary64))))) | |
| ✓ | 50.8% | (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
| 26.4% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (*.f64 x x)) | |
| ▶ | 51.1% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (neg.f64 (/.f64 (cos.f64 x) x))) x) |
| 51.3% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (*.f64 x (neg.f64 (/.f64 (cos.f64 x) x)))) (*.f64 x x)) | |
| 26.1% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) | |
| 51.8% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| 43.1% | (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) | |
| ✓ | 50.5% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ▶ | 26.5% | (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
| 51.8% | (/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) x)) | |
| 51.2% | (/.f64 #s(literal -1 binary64) (*.f64 x (/.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 x))))) | |
| 50.7% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| ✓ | 51.1% | (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
| 29.2% | (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) | |
| ▶ | 78.6% | (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x)) |
| ✓ | 99.8% | (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x)) |
| 17.6% | (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) | |
| 12.5% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) | |
| 17.6% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) | |
| 17.2% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal 0 binary64)))) | |
| ▶ | 12.4% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64))))) |
| 17.1% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/2 binary64))))) | |
| ✓ | 50.5% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
| 29.1% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) | |
| 17.1% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1/2 binary64))) | |
| 29.2% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) | |
| 51.8% | (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (cos.f64 x)))) | |
| 20.7% | (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) | |
| 17.0% | (*.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) | |
| 29.1% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) | |
| ▶ | 16.9% | (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
| 51.8% | (*.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) | |
| 52.5% | (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) | |
| ✓ | 51.9% | #s(literal 1/2 binary64) |
Compiled 1 228 to 657 computations (46.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (cos.f64 x) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (neg.f64 (/.f64 (cos.f64 x) x))) x) |
| ✓ | cost-diff | 1088 | (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (neg.f64 (/.f64 (cos.f64 x) x))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 1152 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64)))) |
| ✓ | cost-diff | 2176 | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64))))) |
| ✓ | cost-diff | 2944 | (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) |
| ✓ | cost-diff | 1472 | (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) |
| ✓ | cost-diff | 2176 | (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
| ✓ | cost-diff | -64 | (*.f64 x x) |
| ✓ | cost-diff | 192 | (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 1088 | (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x)) |
| 5 816× | *-lowering-*.f32 |
| 5 816× | *-lowering-*.f64 |
| 2 772× | accelerator-lowering-fma.f32 |
| 2 772× | accelerator-lowering-fma.f64 |
| 2 586× | /-lowering-/.f32 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 221 |
| 1 | 116 | 181 |
| 2 | 345 | 151 |
| 3 | 2133 | 151 |
| 4 | 3879 | 151 |
| 5 | 6242 | 150 |
| 0 | 8894 | 150 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (tan (* x 1/2)) (* x x)) (sin x)) |
(/ (tan (* x 1/2)) (* x x)) |
(tan (* x 1/2)) |
(* x 1/2) |
x |
1/2 |
(* x x) |
(sin x) |
(/ (- 1 1) (* x x)) |
(- 1 1) |
1 |
(* x x) |
x |
(* (* (/ -1 (+ (* x (* x (+ (* x x) 0))) 0)) (+ (* x x) 0)) (* (+ (* x x) 0) -1/2)) |
(* (/ -1 (+ (* x (* x (+ (* x x) 0))) 0)) (+ (* x x) 0)) |
(/ -1 (+ (* x (* x (+ (* x x) 0))) 0)) |
-1 |
(+ (* x (* x (+ (* x x) 0))) 0) |
x |
(* x (+ (* x x) 0)) |
(+ (* x x) 0) |
0 |
(* (+ (* x x) 0) -1/2) |
-1/2 |
(* (/ -1 (* x x)) (/ 1 (/ (+ (* x (* x (+ (* x x) 0))) 0) (* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x x) 0))) 0)) 0) -1/2)))) |
(/ -1 (* x x)) |
-1 |
(* x x) |
x |
(/ 1 (/ (+ (* x (* x (+ (* x x) 0))) 0) (* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x x) 0))) 0)) 0) -1/2))) |
1 |
(/ (+ (* x (* x (+ (* x x) 0))) 0) (* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x x) 0))) 0)) 0) -1/2)) |
(+ (* x (* x (+ (* x x) 0))) 0) |
(* x (+ (* x x) 0)) |
(+ (* x x) 0) |
0 |
(* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x x) 0))) 0)) 0) -1/2) |
(+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x x) 0))) 0)) 0) |
-1/2 |
(/ (+ (* (/ 1 (* x x)) x) (neg (/ (cos x) x))) x) |
(+ (* (/ 1 (* x x)) x) (neg (/ (cos x) x))) |
(/ 1 (* x x)) |
1 |
(* x x) |
x |
(neg (/ (cos x) x)) |
(/ (cos x) x) |
(cos x) |
| Outputs |
|---|
(* (/ (tan (* x 1/2)) (* x x)) (sin x)) |
(/.f64 (*.f64 (tan.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))) (sin.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(/ (tan (* x 1/2)) (* x x)) |
(/.f64 (tan.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) |
(tan (* x 1/2)) |
(tan.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))) |
(* x 1/2) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) |
x |
1/2 |
#s(literal 1/2 binary64) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
(sin x) |
(sin.f64 x) |
(/ (- 1 1) (* x x)) |
#s(literal 0 binary64) |
(- 1 1) |
#s(literal 0 binary64) |
1 |
#s(literal 1 binary64) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
(* (* (/ -1 (+ (* x (* x (+ (* x x) 0))) 0)) (+ (* x x) 0)) (* (+ (* x x) 0) -1/2)) |
#s(literal 1/2 binary64) |
(* (/ -1 (+ (* x (* x (+ (* x x) 0))) 0)) (+ (* x x) 0)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (+ (* x (* x (+ (* x x) 0))) 0)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
-1 |
#s(literal -1 binary64) |
(+ (* x (* x (+ (* x x) 0))) 0) |
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
x |
(* x (+ (* x x) 0)) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
(* (+ (* x x) 0) -1/2) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(* (/ -1 (* x x)) (/ 1 (/ (+ (* x (* x (+ (* x x) 0))) 0) (* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x x) 0))) 0)) 0) -1/2)))) |
#s(literal 1/2 binary64) |
(/ -1 (* x x)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
-1 |
#s(literal -1 binary64) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
(/ 1 (/ (+ (* x (* x (+ (* x x) 0))) 0) (* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x x) 0))) 0)) 0) -1/2))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
1 |
#s(literal 1 binary64) |
(/ (+ (* x (* x (+ (* x x) 0))) 0) (* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x x) 0))) 0)) 0) -1/2)) |
(neg.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(+ (* x (* x (+ (* x x) 0))) 0) |
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* x (+ (* x x) 0)) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
(* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x x) 0))) 0)) 0) -1/2) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x x) 0))) 0)) 0) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(/ (+ (* (/ 1 (* x x)) x) (neg (/ (cos x) x))) x) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 0 binary64)) x) |
(+ (* (/ 1 (* x x)) x) (neg (/ (cos x) x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(/ 1 (* x x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
1 |
#s(literal 1 binary64) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
(neg (/ (cos x) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x)) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(cos x) |
(cos.f64 x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (neg.f64 (/.f64 (cos.f64 x) x))) x) |
| ✓ | accuracy | 99.8% | (/.f64 (cos.f64 x) x) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | accuracy | 78.0% | (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (neg.f64 (/.f64 (cos.f64 x) x))) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64)))) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal -1 binary64) (*.f64 x x)) |
| ✓ | accuracy | 75.7% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64))))) |
| ✓ | accuracy | 60.9% | (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) |
| ✓ | accuracy | 75.7% | (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
| ✓ | accuracy | 66.9% | (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 100.0% | (tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x)) |
| ✓ | accuracy | 99.2% | (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) |
| 68.0ms | 129× | 0 | valid |
| 40.0ms | 127× | 1 | exit |
Compiled 331 to 38 computations (88.5% saved)
ival-tan: 31.0ms (35.2% of total)ival-mult: 18.0ms (20.4% of total)ival-div: 16.0ms (18.1% of total)ival-add: 6.0ms (6.8% of total)adjust: 5.0ms (5.7% of total)ival-sin: 5.0ms (5.7% of total)ival-cos: 5.0ms (5.7% of total)ival-sub: 1.0ms (1.1% of total)exact: 1.0ms (1.1% of total)ival-neg: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ (tan (* x 1/2)) (* x x)) (sin x))> |
#<alt (/ (tan (* x 1/2)) (* x x))> |
#<alt (tan (* x 1/2))> |
#<alt (sin x)> |
#<alt (/ (- 1 1) (* x x))> |
#<alt (- 1 1)> |
#<alt (* x x)> |
#<alt (* (* (/ -1 (+ (* x (* x (+ (* x x) 0))) 0)) (+ (* x x) 0)) (* (+ (* x x) 0) -1/2))> |
#<alt (* (/ -1 (+ (* x (* x (+ (* x x) 0))) 0)) (+ (* x x) 0))> |
#<alt (/ -1 (+ (* x (* x (+ (* x x) 0))) 0))> |
#<alt (+ (* x (* x (+ (* x x) 0))) 0)> |
#<alt (/ (+ (* x (* x (+ (* x x) 0))) 0) (* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x x) 0))) 0)) 0) -1/2))> |
#<alt (* (/ -1 (* x x)) (/ 1 (/ (+ (* x (* x (+ (* x x) 0))) 0) (* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x x) 0))) 0)) 0) -1/2))))> |
#<alt (/ 1 (/ (+ (* x (* x (+ (* x x) 0))) 0) (* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x x) 0))) 0)) 0) -1/2)))> |
#<alt (/ -1 (* x x))> |
#<alt (+ (* (/ 1 (* x x)) x) (neg (/ (cos x) x)))> |
#<alt (/ (+ (* (/ 1 (* x x)) x) (neg (/ (cos x) x))) x)> |
#<alt (/ 1 (* x x))> |
#<alt (/ (cos x) x)> |
| Outputs |
|---|
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* 1/24 (pow x 2))) x)> |
#<alt (/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) x)> |
#<alt (/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) x)> |
#<alt (/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt 1/2> |
#<alt 1/2> |
#<alt 1/2> |
#<alt 1/2> |
#<alt 1/2> |
#<alt 1/2> |
#<alt 1/2> |
#<alt 1/2> |
#<alt 1/2> |
#<alt 1/2> |
#<alt 1/2> |
#<alt 1/2> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 4))> |
#<alt (/ -1 (pow x 4))> |
#<alt (/ -1 (pow x 4))> |
#<alt (/ -1 (pow x 4))> |
#<alt (/ -1 (pow x 4))> |
#<alt (/ -1 (pow x 4))> |
#<alt (/ -1 (pow x 4))> |
#<alt (/ -1 (pow x 4))> |
#<alt (/ -1 (pow x 4))> |
#<alt (/ -1 (pow x 4))> |
#<alt (/ -1 (pow x 4))> |
#<alt (/ -1 (pow x 4))> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt 1/2> |
#<alt 1/2> |
#<alt 1/2> |
#<alt 1/2> |
#<alt 1/2> |
#<alt 1/2> |
#<alt 1/2> |
#<alt 1/2> |
#<alt 1/2> |
#<alt 1/2> |
#<alt 1/2> |
#<alt 1/2> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (+ 1 (* -1 (cos x))) x)> |
#<alt (/ (+ 1 (* -1 (cos x))) x)> |
#<alt (/ (+ 1 (* -1 (cos x))) x)> |
#<alt (/ (+ 1 (* -1 (cos x))) x)> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))> |
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))> |
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))> |
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* -1/2 (pow x 2))) x)> |
#<alt (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)> |
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)> |
#<alt (/ (cos x) x)> |
#<alt (/ (cos x) x)> |
#<alt (/ (cos x) x)> |
#<alt (/ (cos x) x)> |
#<alt (/ (cos x) x)> |
#<alt (/ (cos x) x)> |
#<alt (/ (cos x) x)> |
#<alt (/ (cos x) x)> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/ (+ (* (/ 1 (* x x)) x) (neg (/ (cos x) x))) x) |
| 0.0ms | x | @ | 0 | (/ -1 (+ (* x (* x (+ (* x x) 0))) 0)) |
| 0.0ms | x | @ | inf | (/ (+ (* (/ 1 (* x x)) x) (neg (/ (cos x) x))) x) |
| 0.0ms | x | @ | 0 | (/ (+ (* x (* x (+ (* x x) 0))) 0) (* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x x) 0))) 0)) 0) -1/2)) |
| 0.0ms | x | @ | inf | (/ (+ (* x (* x (+ (* x x) 0))) 0) (* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x x) 0))) 0)) 0) -1/2)) |
| 1× | batch-egg-rewrite |
| 4 816× | /-lowering-/.f32 |
| 4 816× | /-lowering-/.f64 |
| 3 394× | accelerator-lowering-fma.f32 |
| 3 394× | accelerator-lowering-fma.f64 |
| 2 932× | *-lowering-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 189 |
| 1 | 223 | 103 |
| 2 | 2142 | 78 |
| 0 | 8970 | 78 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (tan (* x 1/2)) (* x x)) (sin x)) |
(/ (tan (* x 1/2)) (* x x)) |
(tan (* x 1/2)) |
(sin x) |
(/ (- 1 1) (* x x)) |
(- 1 1) |
(* x x) |
(* (* (/ -1 (+ (* x (* x (+ (* x x) 0))) 0)) (+ (* x x) 0)) (* (+ (* x x) 0) -1/2)) |
(* (/ -1 (+ (* x (* x (+ (* x x) 0))) 0)) (+ (* x x) 0)) |
(/ -1 (+ (* x (* x (+ (* x x) 0))) 0)) |
(+ (* x (* x (+ (* x x) 0))) 0) |
(/ (+ (* x (* x (+ (* x x) 0))) 0) (* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x x) 0))) 0)) 0) -1/2)) |
(* (/ -1 (* x x)) (/ 1 (/ (+ (* x (* x (+ (* x x) 0))) 0) (* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x x) 0))) 0)) 0) -1/2)))) |
(/ 1 (/ (+ (* x (* x (+ (* x x) 0))) 0) (* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x x) 0))) 0)) 0) -1/2))) |
(/ -1 (* x x)) |
(+ (* (/ 1 (* x x)) x) (neg (/ (cos x) x))) |
(/ (+ (* (/ 1 (* x x)) x) (neg (/ (cos x) x))) x) |
(/ 1 (* x x)) |
(/ (cos x) x) |
| Outputs |
|---|
(/.f64 (sin.f64 x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (sin.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) x) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (sin.f64 x)) x) |
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) x) x) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (sin.f64 x))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) x)) (-.f64 #s(literal 0 binary64) x)) |
(pow.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) #s(literal -1 binary64)) |
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (sin.f64 x))) |
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x x #s(literal 0 binary64))) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(*.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(neg.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x x #s(literal 0 binary64))))) |
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) x) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) x) |
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x x #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x))) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(pow.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(sin.f64 x) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
(+.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) #s(literal 0 binary64))) |
(exp.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) #s(literal 0 binary64)) #s(literal -1 binary64)))) |
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(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 13 380× | accelerator-lowering-fma.f32 |
| 13 380× | accelerator-lowering-fma.f64 |
| 3 358× | *-lowering-*.f32 |
| 3 358× | *-lowering-*.f64 |
| 2 696× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 1250 |
| 1 | 260 | 1250 |
| 2 | 605 | 1244 |
| 3 | 1763 | 1244 |
| 4 | 3121 | 1244 |
| 5 | 4220 | 1244 |
| 6 | 4708 | 1244 |
| 7 | 5542 | 1244 |
| 8 | 7351 | 1244 |
| 0 | 8184 | 1202 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ 1/2 x) |
(/ (+ 1/2 (* 1/24 (pow x 2))) x) |
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) x) |
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) x) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 4)) |
(/ -1 (pow x 4)) |
(/ -1 (pow x 4)) |
(/ -1 (pow x 4)) |
(/ -1 (pow x 4)) |
(/ -1 (pow x 4)) |
(/ -1 (pow x 4)) |
(/ -1 (pow x 4)) |
(/ -1 (pow x 4)) |
(/ -1 (pow x 4)) |
(/ -1 (pow x 4)) |
(/ -1 (pow x 4)) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (+ 1 (* -1 (cos x))) x) |
(/ (+ 1 (* -1 (cos x))) x) |
(/ (+ 1 (* -1 (cos x))) x) |
(/ (+ 1 (* -1 (cos x))) x) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 x) |
(/ (+ 1 (* -1/2 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (+ 1/2 (* 1/24 (pow x 2))) x) |
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) |
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) x) |
(/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) |
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) x) |
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 17/40320 binary64) #s(literal 1/240 binary64))) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 17/40320 binary64) #s(literal 1/240 binary64))) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) |
(pow x 4) |
(*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) |
(pow x 4) |
(*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) |
(pow x 4) |
(*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) |
(pow x 4) |
(*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) |
(pow x 4) |
(*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) |
(pow x 4) |
(*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) |
(pow x 4) |
(*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) |
(pow x 4) |
(*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) |
(pow x 4) |
(*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) |
(pow x 4) |
(*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) |
(pow x 4) |
(*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) |
(pow x 4) |
(*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
(* -1/2 (pow x 2)) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 x (fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) |
(/ (- 1 (cos x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (- 1 (cos x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (- 1 (cos x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (- 1 (cos x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (+ 1 (* -1 (cos x))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (+ 1 (* -1 (cos x))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (+ 1 (* -1 (cos x))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (+ 1 (* -1 (cos x))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1/2 (pow x 2))) x) |
(/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x) |
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x) |
(/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
Compiled 42 722 to 3 655 computations (91.4% saved)
49 alts after pruning (41 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 432 | 23 | 1 455 |
| Fresh | 9 | 18 | 27 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 444 | 49 | 1 493 |
| Status | Accuracy | Program |
|---|---|---|
| 44.8% | (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) x (neg.f64 (/.f64 (cos.f64 x) (fma.f64 x x #s(literal 0 binary64))))) | |
| 51.3% | (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) | |
| ✓ | 50.8% | (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
| 26.4% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (*.f64 x x)) | |
| ✓ | 51.1% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (neg.f64 (/.f64 (cos.f64 x) x))) x) |
| 51.2% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 x))))) x) | |
| 27.6% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (neg.f64 (/.f64 #s(literal 1 binary64) x))) x) | |
| 51.3% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (*.f64 x (neg.f64 (/.f64 (cos.f64 x) x)))) (*.f64 x x)) | |
| 18.9% | (/.f64 (/.f64 (fma.f64 x x (*.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) x) | |
| 26.1% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) | |
| 51.8% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| 51.8% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) | |
| 43.1% | (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) | |
| ✓ | 50.5% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 51.2% | (/.f64 #s(literal -1 binary64) (*.f64 x (/.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 x))))) | |
| 50.7% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| 22.0% | (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) | |
| ✓ | 51.1% | (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
| 29.2% | (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) | |
| 22.0% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) | |
| 12.3% | (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) | |
| ✓ | 78.6% | (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x)) |
| ✓ | 99.8% | (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x)) |
| 22.0% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) | |
| 52.4% | (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sin.f64 x)) | |
| 12.5% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) | |
| 12.6% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) | |
| 17.2% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal 0 binary64)))) | |
| 12.6% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x)))) | |
| 12.4% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))) | |
| 12.9% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))))) | |
| 20.3% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))))) | |
| ✓ | 50.5% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
| 12.4% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) | |
| 17.1% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64))))) | |
| 29.1% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) | |
| 29.2% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) | |
| 51.8% | (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (cos.f64 x)))) | |
| 20.7% | (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) | |
| 12.4% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64))))) | |
| 29.1% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) | |
| 20.7% | (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) | |
| 16.9% | (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) | |
| 17.0% | (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) | |
| 16.9% | (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) x) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) | |
| 51.8% | (*.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) | |
| 52.5% | (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) | |
| ✓ | 51.9% | #s(literal 1/2 binary64) |
| 27.1% | #s(literal 0 binary64) |
Compiled 2 255 to 695 computations (69.2% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (neg.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) x) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (sin.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (/.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 x))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (cos.f64 x))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (cos.f64 x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 x (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) |
(/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (neg.f64 (/.f64 (cos.f64 x) x))) x) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (*.f64 x x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (*.f64 x (neg.f64 (/.f64 (cos.f64 x) x)))) (*.f64 x x)) |
(/.f64 (/.f64 (fma.f64 x x (*.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) x) |
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) x (neg.f64 (/.f64 (cos.f64 x) (fma.f64 x x #s(literal 0 binary64))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 0 binary64) x))) (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 x))))) x) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (neg.f64 (/.f64 (cos.f64 x) (fma.f64 x x #s(literal 0 binary64))))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (neg.f64 (/.f64 (cos.f64 x) (fma.f64 x x #s(literal 0 binary64))))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x)) |
2 calls:
| 22.0ms | x |
| 20.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (neg.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) x) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (sin.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (/.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 x))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (cos.f64 x))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (cos.f64 x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 x (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) |
(/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (neg.f64 (/.f64 (cos.f64 x) x))) x) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (*.f64 x x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (*.f64 x (neg.f64 (/.f64 (cos.f64 x) x)))) (*.f64 x x)) |
(/.f64 (/.f64 (fma.f64 x x (*.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) x) |
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) x (neg.f64 (/.f64 (cos.f64 x) (fma.f64 x x #s(literal 0 binary64))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 0 binary64) x))) (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 x))))) x) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (neg.f64 (/.f64 (cos.f64 x) (fma.f64 x x #s(literal 0 binary64))))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (neg.f64 (/.f64 (cos.f64 x) (fma.f64 x x #s(literal 0 binary64))))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
| Outputs |
|---|
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
2 calls:
| 22.0ms | x |
| 19.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 2 | x |
| 98.7% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (neg.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) x) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (sin.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| Outputs |
|---|
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
1 calls:
| 14.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (neg.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) x) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (sin.f64 x)) |
| Outputs |
|---|
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (neg.f64 (/.f64 #s(literal 1 binary64) x))) x) |
2 calls:
| 44.0ms | x |
| 10.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.5% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 75.9% | 2 | x |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
| Outputs |
|---|
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) |
#s(literal 0 binary64) |
1 calls:
| 27.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.7% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) |
| Outputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 0 binary64) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.7% | 2 | x |
Compiled 2 to 1 computations (50% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 0 binary64) |
| Outputs |
|---|
#s(literal 0 binary64) |
2 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 27.1% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 27.1% | 1 | x |
Compiled 11 to 7 computations (36.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 0.00047318893895112175 | 101.30840889475509 |
| 7.0ms | 144× | 0 | valid |
Compiled 219 to 154 computations (29.7% saved)
ival-sub: 1.0ms (25.2% of total)ival-div: 1.0ms (25.2% of total)ival-cos: 1.0ms (25.2% of total)ival-mult: 1.0ms (25.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 0.00047318893895112175 | 101.30840889475509 |
| 7.0ms | 144× | 0 | valid |
Compiled 219 to 154 computations (29.7% saved)
ival-sub: 1.0ms (24.9% of total)ival-div: 1.0ms (24.9% of total)ival-cos: 1.0ms (24.9% of total)ival-mult: 1.0ms (24.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.5605763212190235e+28 | 3.201518203778953e+29 |
| 8.0ms | 112× | 0 | valid |
Compiled 208 to 136 computations (34.6% saved)
ival-cos: 4.0ms (70% of total)ival-sub: 1.0ms (17.5% of total)ival-div: 1.0ms (17.5% of total)ival-mult: 1.0ms (17.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 4.3662560930500395e+37 | 8.133500432424364e+39 |
| 8.0ms | 112× | 0 | valid |
Compiled 124 to 94 computations (24.2% saved)
ival-cos: 4.0ms (71% of total)ival-sub: 1.0ms (17.8% of total)ival-div: 1.0ms (17.8% of total)ival-mult: 1.0ms (17.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 8.984342428545012e+73 | 2.2153930489301176e+77 |
| 9.0ms | 128× | 0 | valid |
Compiled 60 to 58 computations (3.3% saved)
ival-cos: 4.0ms (63.5% of total)ival-sub: 1.0ms (15.9% of total)ival-div: 1.0ms (15.9% of total)ival-mult: 1.0ms (15.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 22× | neg-mul-1_binary64 |
| 18× | unsub-neg_binary64 |
| 16× | *-commutative_binary64 |
| 10× | +-commutative_binary64 |
| 10× | sub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 108 |
| 1 | 55 | 108 |
| 2 | 64 | 107 |
| 3 | 73 | 107 |
| 4 | 90 | 107 |
| 5 | 112 | 107 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x)) |
(if (<=.f64 x #s(literal 1116892707587883/36028797018963968 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) |
(if (<=.f64 x #s(literal 1116892707587883/36028797018963968 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
(if (<=.f64 x #s(literal 149999999999999995945819308032 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (neg.f64 (/.f64 #s(literal 1 binary64) x))) x)) |
(if (<=.f64 x #s(literal 650000000000000013701462749682092474368 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(if (<=.f64 x #s(literal 84999999999999999179297299374994088452370334943378553929760049698256615112704 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x)) |
(if (<=.f64 x #s(literal 1116892707587883/36028797018963968 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) |
(if (<=.f64 x #s(literal 1116892707587883/36028797018963968 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
(if (<=.f64 x #s(literal 149999999999999995945819308032 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (neg.f64 (/.f64 #s(literal 1 binary64) x))) x)) |
(if (<=.f64 x #s(literal 149999999999999995945819308032 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (/.f64 #s(literal -1 binary64) x)) x)) |
(if (<=.f64 x #s(literal 650000000000000013701462749682092474368 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(if (<=.f64 x #s(literal 84999999999999999179297299374994088452370334943378553929760049698256615112704 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
| 16 752× | accelerator-lowering-fma.f32 |
| 16 752× | accelerator-lowering-fma.f64 |
| 13 380× | accelerator-lowering-fma.f32 |
| 13 380× | accelerator-lowering-fma.f64 |
| 4 816× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 189 |
| 1 | 223 | 103 |
| 2 | 2142 | 78 |
| 0 | 8970 | 78 |
| 0 | 42 | 284 |
| 1 | 105 | 284 |
| 2 | 258 | 284 |
| 3 | 609 | 284 |
| 4 | 1279 | 284 |
| 5 | 2001 | 284 |
| 6 | 2304 | 284 |
| 7 | 3158 | 284 |
| 8 | 4639 | 284 |
| 9 | 6288 | 284 |
| 10 | 7157 | 284 |
| 11 | 7373 | 284 |
| 12 | 7391 | 284 |
| 13 | 7393 | 284 |
| 14 | 7798 | 284 |
| 0 | 8007 | 266 |
| 0 | 108 | 1250 |
| 1 | 260 | 1250 |
| 2 | 605 | 1244 |
| 3 | 1763 | 1244 |
| 4 | 3121 | 1244 |
| 5 | 4220 | 1244 |
| 6 | 4708 | 1244 |
| 7 | 5542 | 1244 |
| 8 | 7351 | 1244 |
| 0 | 8184 | 1202 |
| 0 | 21 | 85 |
| 1 | 137 | 76 |
| 2 | 999 | 76 |
| 0 | 8304 | 76 |
| 0 | 6 | 17 |
| 1 | 36 | 17 |
| 2 | 264 | 17 |
| 3 | 2800 | 17 |
| 0 | 9643 | 17 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 332 to 190 computations (42.8% saved)
(abs x)
Compiled 258 to 108 computations (58.1% saved)
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