
Time bar (total: 10.7s)
| 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)
| 638.0ms | 2 225× | 2 | valid |
| 490.0ms | 623× | 3 | valid |
| 317.0ms | 4 206× | 0 | valid |
| 164.0ms | 1 202× | 1 | valid |
ival-cos: 972.0ms (70.9% of total)adjust: 114.0ms (8.3% of total)ival-sub: 110.0ms (8% of total)ival-div: 102.0ms (7.4% of total)ival-mult: 60.0ms (4.4% of total)ival-true: 6.0ms (0.4% of total)exact: 5.0ms (0.4% of total)ival-assert: 3.0ms (0.2% of total)| 1× | egg-herbie |
| 408× | lower-fma.f64 |
| 408× | lower-fma.f32 |
| 324× | times-frac |
| 284× | times-frac |
| 272× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 32 | 17 |
| 2 | 102 | 16 |
| 3 | 299 | 16 |
| 4 | 757 | 16 |
| 5 | 1185 | 16 |
| 6 | 1294 | 16 |
| 7 | 1310 | 16 |
| 0 | 6 | 8 |
| 0 | 10 | 8 |
| 1 | 19 | 8 |
| 2 | 30 | 8 |
| 3 | 46 | 8 |
| 4 | 82 | 8 |
| 5 | 131 | 8 |
| 6 | 188 | 8 |
| 7 | 323 | 8 |
| 8 | 621 | 8 |
| 9 | 1027 | 8 |
| 10 | 1138 | 8 |
| 0 | 1138 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(abs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 75 | 0 | - | 2 | (7.82425602401441e-161) | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 68 | 1 | (1.2769932103715129e+105) | 1 | (2.918460658385607e+74) | (-.f64 #s(literal 1 binary64) (cos.f64 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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | u/u | 72 | 0 |
| ↳ | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | underflow | 73 | |
| ↳ | (*.f64 x x) | underflow | 72 | |
-.f64 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | cancellation | 68 | 2 |
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | u/n | 1 | 0 |
| ↳ | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | underflow | 73 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 137 | 1 |
| - | 4 | 114 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 137 | 1 | 0 |
| - | 4 | 1 | 113 |
| number | freq |
|---|---|
| 0 | 115 |
| 1 | 141 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 64.0ms | 36× | 3 | valid |
| 47.0ms | 166× | 2 | valid |
| 32.0ms | 246× | 0 | valid |
| 7.0ms | 64× | 1 | valid |
Compiled 60 to 28 computations (53.3% saved)
ival-cos: 101.0ms (78.7% of total)ival-sub: 9.0ms (7% of total)ival-div: 8.0ms (6.2% of total)adjust: 6.0ms (4.7% of total)ival-mult: 4.0ms (3.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 48.4% | (/.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 | 0 | (*.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× | lower-fma.f64 |
| 408× | lower-fma.f32 |
| 284× | times-frac |
| 272× | lower-*.f32 |
| 270× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 19 |
| 0 | 10 | 19 |
| 1 | 19 | 19 |
| 2 | 30 | 19 |
| 3 | 46 | 19 |
| 4 | 82 | 19 |
| 5 | 131 | 19 |
| 6 | 188 | 19 |
| 7 | 323 | 19 |
| 8 | 621 | 19 |
| 9 | 1027 | 19 |
| 10 | 1138 | 19 |
| 0 | 1138 | 19 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(*.f64 x x) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(*.f64 x x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 77.6% | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| ✓ | accuracy | 71.9% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 31.0ms | 83× | 2 | valid |
| 10.0ms | 123× | 0 | valid |
| 8.0ms | 32× | 1 | valid |
| 6.0ms | 18× | 3 | valid |
Compiled 21 to 8 computations (61.9% saved)
ival-cos: 31.0ms (67.7% of total)adjust: 7.0ms (15.3% of total)ival-div: 3.0ms (6.6% of total)ival-sub: 3.0ms (6.6% of total)ival-mult: 2.0ms (4.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))> |
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))> |
#<alt (cos.f64 x)> |
#<alt (*.f64 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 | |
|---|---|---|---|---|
| 11.0ms | x | @ | inf | (* x x) |
| 1.0ms | x | @ | inf | (/ (- 1 (cos x)) (* x x)) |
| 1.0ms | x | @ | -inf | (/ (- 1 (cos x)) (* x x)) |
| 1.0ms | x | @ | 0 | (/ (- 1 (cos x)) (* x x)) |
| 0.0ms | x | @ | -inf | (* x x) |
| 1× | egg-herbie |
| 16 752× | lower-fma.f64 |
| 16 752× | lower-fma.f32 |
| 3 896× | lower-*.f64 |
| 3 896× | lower-*.f32 |
| 1 568× | lower-+.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) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x 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 (*.f64 x x) (fma.f64 x (*.f64 x (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)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #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 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (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 |
#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 (*.f64 x 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 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x 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) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
| 1× | batch-egg-rewrite |
| 4 736× | lower-/.f32 |
| 4 734× | lower-/.f64 |
| 3 980× | lower-fma.f64 |
| 3 980× | lower-fma.f32 |
| 3 064× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 0 | 10 | 17 |
| 1 | 40 | 17 |
| 2 | 268 | 17 |
| 3 | 2810 | 17 |
| 0 | 9656 | 17 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(*.f64 x x) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -1 binary64))) |
(+.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 x (neg.f64 x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (cos.f64 x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 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 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (cos.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(-.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 x (neg.f64 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 x (neg.f64 x)) (neg.f64 (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 x (neg.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 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))) |
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(*.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 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #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 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.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 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.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 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (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 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.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 (+.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 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x 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 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) |
(*.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) (neg.f64 (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 (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))))) |
(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) (neg.f64 (cos.f64 x))) |
(neg.f64 (neg.f64 (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) (neg.f64 (cos.f64 x))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x))) |
(neg.f64 (*.f64 x (neg.f64 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 x (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (neg.f64 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 (neg.f64 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 (neg.f64 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 (neg.f64 x)) #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 1 binary64) x) x) |
(*.f64 (neg.f64 (neg.f64 x)) x) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
Compiled 15 767 to 1 639 computations (89.6% 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 |
|---|---|---|
| 22.4% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) | |
| 49.3% | (/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x)) | |
| 48.3% | (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 x x)) | |
| 48.3% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 x x)) | |
| 49.2% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) | |
| ▶ | 12.2% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
| 12.2% | (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| 41.0% | (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) | |
| 48.3% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) | |
| ✓ | 48.4% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 27.8% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| 48.4% | (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (*.f64 x (neg.f64 x)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) | |
| 71.0% | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) | |
| ▶ | 48.5% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
| ▶ | 71.9% | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
| 48.4% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) | |
| 53.6% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) | |
| ▶ | 53.3% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (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))) |
| 53.3% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) | |
| ▶ | 54.3% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 591 to 334 computations (43.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 256 | (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x))) |
| ✓ | cost-diff | 320 | (-.f64 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x)))) |
| ✓ | cost-diff | 1280 | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (/.f64 (cos.f64 x) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 1024 | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (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)) |
| ✓ | cost-diff | 0 | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (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))) |
| ✓ | cost-diff | 0 | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 x) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
| 4 990× | lower-fma.f32 |
| 4 984× | lower-fma.f64 |
| 2 312× | lower-*.f32 |
| 2 296× | lower-*.f64 |
| 2 100× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 216 |
| 0 | 62 | 196 |
| 1 | 129 | 190 |
| 2 | 337 | 188 |
| 3 | 1702 | 188 |
| 4 | 5270 | 188 |
| 0 | 8114 | 188 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(sin.f64 x) |
x |
(*.f64 x x) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (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))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (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)) |
(*.f64 x x) |
x |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) |
(fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) |
(*.f64 x #s(literal -1/40320 binary64)) |
#s(literal -1/40320 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 (cos.f64 x) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
x |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(cos.f64 x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x)))) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x))) |
(*.f64 x (neg.f64 x)) |
(neg.f64 x) |
(neg.f64 (cos.f64 x)) |
(cos.f64 x) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(sin.f64 x) |
x |
(*.f64 x x) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (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))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (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)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) |
(fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) |
(*.f64 x #s(literal -1/40320 binary64)) |
#s(literal -1/40320 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 (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 x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
x |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(cos.f64 x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x)))) |
(*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x))) |
(*.f64 (*.f64 x x) (cos.f64 x)) |
(*.f64 x (neg.f64 x)) |
(neg.f64 x) |
(neg.f64 (cos.f64 x)) |
(cos.f64 x) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x))) |
| ✓ | accuracy | 79.5% | (-.f64 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x)))) |
| ✓ | accuracy | 23.9% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (/.f64 (cos.f64 x) (*.f64 x x)) |
| ✓ | accuracy | 49.9% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) |
| ✓ | accuracy | 99.3% | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (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)) |
| ✓ | accuracy | 53.1% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (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))) |
| ✓ | accuracy | 100.0% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (tan.f64 (/.f64 x #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
| ✓ | accuracy | 73.1% | (/.f64 (sin.f64 x) (*.f64 x x)) |
| 117.0ms | 82× | 2 | valid |
| 52.0ms | 122× | 0 | valid |
| 20.0ms | 18× | 3 | valid |
| 20.0ms | 34× | 1 | valid |
Compiled 206 to 37 computations (82% saved)
ival-sub: 43.0ms (24.1% of total)ival-cos: 32.0ms (17.9% of total)ival-mult: 28.0ms (15.7% of total)ival-div: 20.0ms (11.2% of total)ival-sin: 14.0ms (7.9% of total)adjust: 13.0ms (7.3% of total)const: 12.0ms (6.7% of total)ival-tan: 8.0ms (4.5% of total)ival-add: 5.0ms (2.8% of total)ival-neg: 3.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))> |
#<alt (/.f64 (sin.f64 x) (*.f64 x x))> |
#<alt (sin.f64 x)> |
#<alt (*.f64 x x)> |
#<alt #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))> |
#<alt #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (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)))> |
#<alt (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (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))> |
#<alt (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64))> |
#<alt (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x x))> |
#<alt (/.f64 (cos.f64 x) (*.f64 x x))> |
#<alt (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x))))> |
#<alt (-.f64 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x))))> |
#<alt (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x)))> |
#<alt (tan.f64 (/.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)))> |
#<alt (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))> |
#<alt (cos.f64 x)> |
#<alt (*.f64 x (*.f64 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 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 (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> |
#<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> |
#<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 (* -1/40320 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))> |
#<alt (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))> |
#<alt (* -1/40320 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))> |
#<alt (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))> |
#<alt -1/24> |
#<alt (- (* 1/720 (pow x 2)) 1/24)> |
#<alt (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)> |
#<alt (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)> |
#<alt (* -1/40320 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))> |
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))> |
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))> |
#<alt (* -1/40320 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))> |
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))> |
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))> |
#<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 (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 (* -1/2 (pow x 2))) (pow x 2))> |
#<alt (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))> |
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))> |
#<alt (/ (cos x) (pow x 2))> |
#<alt (/ (cos x) (pow x 2))> |
#<alt (/ (cos x) (pow x 2))> |
#<alt (/ (cos x) (pow x 2))> |
#<alt (/ (cos x) (pow x 2))> |
#<alt (/ (cos x) (pow x 2))> |
#<alt (/ (cos x) (pow x 2))> |
#<alt (/ (cos x) (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 4))> |
#<alt (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* -1/2 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))> |
#<alt (* (pow x 2) (cos x))> |
#<alt (* (pow x 2) (cos x))> |
#<alt (* (pow x 2) (cos x))> |
#<alt (* (pow x 2) (cos x))> |
#<alt (* (pow x 2) (cos x))> |
#<alt (* (pow x 2) (cos x))> |
#<alt (* (pow x 2) (cos x))> |
#<alt (* (pow x 2) (cos 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 (* 1/720 x)> |
#<alt (* x (+ 1/720 (* -1/40320 (pow x 2))))> |
#<alt (* x (+ 1/720 (* -1/40320 (pow x 2))))> |
#<alt (* x (+ 1/720 (* -1/40320 (pow x 2))))> |
#<alt (* -1/40320 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))> |
#<alt (* (pow x 3) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))> |
#<alt (* (pow x 3) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))> |
#<alt (* -1/40320 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))> |
#<alt 1/720> |
#<alt (+ 1/720 (* -1/40320 (pow x 2)))> |
#<alt (+ 1/720 (* -1/40320 (pow x 2)))> |
#<alt (+ 1/720 (* -1/40320 (pow x 2)))> |
#<alt (* -1/40320 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))> |
#<alt (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))> |
#<alt (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))> |
#<alt (* -1/40320 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))> |
#<alt (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))> |
#<alt (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))> |
#<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 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | -inf | (* x x) |
| 3.0ms | x | @ | inf | (* (* x (neg x)) (neg (cos x))) |
| 2.0ms | x | @ | inf | (* (/ (sin x) (* x x)) (tan (/ x 2))) |
| 1.0ms | x | @ | -inf | (+ (* x (* x (+ (* x (* x -1/40320)) 1/720))) -1/24) |
| 1.0ms | x | @ | inf | (+ (* (* x x) (+ (* x (* x (+ (* x (* x -1/40320)) 1/720))) -1/24)) 1/2) |
| 1× | egg-herbie |
| 13 104× | lower-fma.f64 |
| 13 104× | lower-fma.f32 |
| 3 958× | lower-*.f64 |
| 3 958× | lower-*.f32 |
| 2 966× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 132 | 1830 |
| 1 | 346 | 1824 |
| 2 | 877 | 1818 |
| 3 | 2865 | 1818 |
| 4 | 5968 | 1818 |
| 0 | 8044 | 1711 |
| 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 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) |
(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 |
(+ 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 |
(+ 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))) |
(* -1/40320 (pow x 6)) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* -1/40320 (pow x 6)) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
-1/24 |
(- (* 1/720 (pow x 2)) 1/24) |
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24) |
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24) |
(* -1/40320 (pow x 4)) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* -1/40320 (pow x 4)) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
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 (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 (* -1/2 (pow x 2))) (pow x 2)) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2)) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2)) |
(/ (cos x) (pow x 2)) |
(/ (cos x) (pow x 2)) |
(/ (cos x) (pow x 2)) |
(/ (cos x) (pow x 2)) |
(/ (cos x) (pow x 2)) |
(/ (cos x) (pow x 2)) |
(/ (cos x) (pow x 2)) |
(/ (cos x) (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 4)) |
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* (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 (cos x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1/2 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(* (pow x 2) (cos x)) |
(* (pow x 2) (cos x)) |
(* (pow x 2) (cos x)) |
(* (pow x 2) (cos x)) |
(* (pow x 2) (cos x)) |
(* (pow x 2) (cos x)) |
(* (pow x 2) (cos x)) |
(* (pow x 2) (cos 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))) |
(* 1/720 x) |
(* x (+ 1/720 (* -1/40320 (pow x 2)))) |
(* x (+ 1/720 (* -1/40320 (pow x 2)))) |
(* x (+ 1/720 (* -1/40320 (pow x 2)))) |
(* -1/40320 (pow x 3)) |
(* (pow x 3) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 3) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 3) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* -1/40320 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/40320 (* 1/720 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/40320 (* 1/720 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/40320 (* 1/720 (/ 1 (pow x 2)))))) |
1/720 |
(+ 1/720 (* -1/40320 (pow x 2))) |
(+ 1/720 (* -1/40320 (pow x 2))) |
(+ 1/720 (* -1/40320 (pow x 2))) |
(* -1/40320 (pow x 2)) |
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* -1/40320 (pow x 2)) |
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
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 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #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 (*.f64 x x) (fma.f64 (*.f64 x x) (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 (*.f64 x x) (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 (*.f64 x x) (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 (*.f64 x x) (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 (*.f64 x x) (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 (*.f64 x x) (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 (*.f64 x x) (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 (*.f64 x x) (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 (*.f64 x x) (cos.f64 (*.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 (*.f64 x 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 (*.f64 x x) (fma.f64 (*.f64 x 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))) x) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #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) (*.f64 x x)) |
(/ (sin x) (pow x 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(/ (sin x) (pow x 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(/ (sin x) (pow x 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(/ (sin x) (pow x 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(/ (sin x) (pow x 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(/ (sin x) (pow x 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(/ (sin x) (pow x 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) 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) |
(sin x) |
(sin.f64 x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #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 (*.f64 x x) (fma.f64 (*.f64 x x) (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)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #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 (*.f64 x x) (fma.f64 (*.f64 x x) (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)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #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 (*.f64 x x) (fma.f64 (*.f64 x x) (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)) |
(* -1/40320 (pow x 6)) |
(*.f64 #s(literal -1/40320 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal -1/720 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -1/40320 binary64) (+.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) (/.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (+.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (/.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* -1/40320 (pow x 6)) |
(*.f64 #s(literal -1/40320 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal -1/720 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -1/40320 binary64) (+.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) (/.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (+.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (/.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
-1/24 |
#s(literal -1/24 binary64) |
(- (* 1/720 (pow x 2)) 1/24) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) |
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) |
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) |
(* -1/40320 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/40320 binary64)))) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* -1/40320 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/40320 binary64)))) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #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 (*.f64 x x) (fma.f64 (*.f64 x x) (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)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2)) |
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x)) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x)) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x)) |
(/ (cos x) (pow x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(/ (cos x) (pow x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(/ (cos x) (pow x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(/ (cos x) (pow x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(/ (cos x) (pow x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(/ (cos x) (pow x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(/ (cos x) (pow x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(/ (cos x) (pow x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #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 (*.f64 x x) (fma.f64 (*.f64 x x) (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)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* 1/2 (pow x 4)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (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 x x) (*.f64 x x))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (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)) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1/2 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 x x)) x)) |
(* (pow x 2) (cos x)) |
(*.f64 x (*.f64 x (cos.f64 x))) |
(* (pow x 2) (cos x)) |
(*.f64 x (*.f64 x (cos.f64 x))) |
(* (pow x 2) (cos x)) |
(*.f64 x (*.f64 x (cos.f64 x))) |
(* (pow x 2) (cos x)) |
(*.f64 x (*.f64 x (cos.f64 x))) |
(* (pow x 2) (cos x)) |
(*.f64 x (*.f64 x (cos.f64 x))) |
(* (pow x 2) (cos x)) |
(*.f64 x (*.f64 x (cos.f64 x))) |
(* (pow x 2) (cos x)) |
(*.f64 x (*.f64 x (cos.f64 x))) |
(* (pow x 2) (cos x)) |
(*.f64 x (*.f64 x (cos.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 (*.f64 x x) (fma.f64 (*.f64 x 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 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x 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))) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* x (+ 1/720 (* -1/40320 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) |
(* x (+ 1/720 (* -1/40320 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) |
(* x (+ 1/720 (* -1/40320 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) |
(* -1/40320 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/40320 binary64)))) |
(* (pow x 3) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) |
(* (pow x 3) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) |
(* (pow x 3) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) |
(* -1/40320 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/40320 binary64)))) |
(* -1 (* (pow x 3) (- 1/40320 (* 1/720 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) |
(* -1 (* (pow x 3) (- 1/40320 (* 1/720 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) |
(* -1 (* (pow x 3) (- 1/40320 (* 1/720 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) |
1/720 |
#s(literal 1/720 binary64) |
(+ 1/720 (* -1/40320 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) |
(+ 1/720 (* -1/40320 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) |
(+ 1/720 (* -1/40320 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) |
(* -1/40320 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/40320 binary64))) |
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) |
(* -1/40320 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/40320 binary64))) |
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 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 (*.f64 x 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 (*.f64 x x) (fma.f64 (*.f64 x x) (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) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 5 230× | lower-*.f32 |
| 5 214× | lower-*.f64 |
| 4 668× | lower-/.f32 |
| 4 658× | lower-/.f64 |
| 3 136× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 172 |
| 0 | 62 | 154 |
| 1 | 254 | 148 |
| 2 | 2035 | 148 |
| 0 | 9076 | 148 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(sin.f64 x) |
(*.f64 x x) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (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))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (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)) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x)))) |
(*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x))) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) |
(fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) |
(cos.f64 x) |
(*.f64 x (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (/.f64 x (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (*.f64 x x)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 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))) (*.f64 x (/.f64 x (sin.f64 x))))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (*.f64 x x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (sin.f64 (*.f64 x #s(literal 1/2 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)) (*.f64 x (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x))) (neg.f64 (*.f64 x x))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) x) |
(/.f64 (*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x) |
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x) x) |
(/.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (*.f64 x (/.f64 x (sin.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (*.f64 (neg.f64 (*.f64 x x)) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (*.f64 x (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) (neg.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)))) |
(/.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 x (/.f64 x (sin.f64 x)))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x)))) (neg.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x))) (neg.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 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 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x)))) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (*.f64 x (/.f64 x (sin.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x)) (neg.f64 x)) |
(pow.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64)) |
(*.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (sin.f64 x) (/.f64 (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 1/2 binary64)))) |
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (*.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)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x (sin.f64 x)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (sin.f64 x) (neg.f64 (*.f64 x x)))) |
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (*.f64 x x)))) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (sin.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x (/.f64 x (sin.f64 x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (/.f64 x (sin.f64 x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 (sin.f64 x) x)))) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (*.f64 x x))) |
(/.f64 (/.f64 (sin.f64 x) x) x) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (*.f64 x x)) |
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (sin.f64 x) #s(literal -1 binary64)) (neg.f64 (*.f64 x x))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 x)))) (neg.f64 (*.f64 x x))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (sin.f64 x) x))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64))) (neg.f64 (*.f64 x x))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) #s(literal -1 binary64))) (*.f64 x x)) |
(/.f64 (neg.f64 (/.f64 (neg.f64 (sin.f64 x)) x)) (neg.f64 (neg.f64 x))) |
(pow.f64 (*.f64 x (/.f64 x (sin.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (sin.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(sin.f64 x) |
(exp.f64 (log.f64 (*.f64 x x))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 (*.f64 x x))) |
(/.f64 (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x 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 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(*.f64 x x) |
(*.f64 x (neg.f64 (neg.f64 x))) |
(*.f64 x (/.f64 x #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x))) |
(*.f64 (*.f64 #s(literal 1 binary64) x) x) |
(*.f64 (neg.f64 (neg.f64 x)) x) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (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))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)))) |
(+.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (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)) |
(+.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x #s(literal -1/24 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (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))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (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)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)))))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (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)) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))))) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (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)) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)))) (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)))) x) x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)))) x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
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(*.f64 (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))) x) |
(*.f64 (*.f64 (neg.f64 (cos.f64 x)) x) (neg.f64 x)) |
(*.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) (cos.f64 x)) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(neg.f64 (tan.f64 (/.f64 x #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.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 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.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 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.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))))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/40320 binary64)))) (*.f64 x #s(literal 1/720 binary64))) |
(+.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/40320 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/40320 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/40320 binary64))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/40320 binary64)))) (*.f64 x #s(literal 1/720 binary64)))) (/.f64 (*.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 x #s(literal 1/720 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/40320 binary64)))) (*.f64 x #s(literal 1/720 binary64))))) |
(fma.f64 x #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/40320 binary64))))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/40320 binary64))) (*.f64 x #s(literal 1/720 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/40320 binary64)) (*.f64 x #s(literal 1/720 binary64))) |
(fma.f64 (*.f64 x #s(literal -1/40320 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/720 binary64))) |
(fma.f64 #s(literal 1/720 binary64) x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/40320 binary64))))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/40320 binary64) (*.f64 x #s(literal 1/720 binary64))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/40320 binary64))) x (*.f64 x #s(literal 1/720 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/65548320768000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/40320 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/40320 binary64)))) (-.f64 (*.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 x #s(literal 1/720 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/40320 binary64)))) (*.f64 x #s(literal 1/720 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/40320 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/40320 binary64))))) (*.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 x #s(literal 1/720 binary64)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/40320 binary64)))) (*.f64 x #s(literal 1/720 binary64)))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/65548320768000 binary64)) #s(literal 1/373248000 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1625702400 binary64) (-.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) #s(literal -1/29030400 binary64))))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1625702400 binary64) #s(literal -1/518400 binary64))) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal -1/720 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/65548320768000 binary64)) #s(literal 1/373248000 binary64)) x) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1625702400 binary64) (-.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) #s(literal -1/29030400 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1625702400 binary64) #s(literal -1/518400 binary64)) x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal -1/720 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/65548320768000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/40320 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/40320 binary64)))) (-.f64 (*.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 x #s(literal 1/720 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/40320 binary64)))) (*.f64 x #s(literal 1/720 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/40320 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/40320 binary64))))) (*.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 x #s(literal 1/720 binary64))))) (neg.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/40320 binary64)))) (*.f64 x #s(literal 1/720 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/65548320768000 binary64)) #s(literal 1/373248000 binary64)))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1625702400 binary64) (-.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) #s(literal -1/29030400 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1625702400 binary64) #s(literal -1/518400 binary64)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal -1/720 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/65548320768000 binary64)) #s(literal 1/373248000 binary64)) x)) (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1625702400 binary64) (-.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) #s(literal -1/29030400 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1625702400 binary64) #s(literal -1/518400 binary64)) x)) (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal -1/720 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/65548320768000 binary64))))) (fma.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 x #s(literal 1/720 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/40320 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/40320 binary64))))) (*.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/40320 binary64)))))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) x) |
(+.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x #s(literal -1/40320 binary64)))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -1/40320 binary64))) #s(literal 1/720 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1625702400 binary64)) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal -1/720 binary64))) (/.f64 #s(literal 1/518400 binary64) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal -1/720 binary64)))) |
(-.f64 (/.f64 #s(literal 1/518400 binary64) (-.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x #s(literal -1/40320 binary64))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1625702400 binary64)) (-.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x #s(literal -1/40320 binary64)))))) |
(fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) |
(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) |
(fma.f64 (*.f64 x #s(literal -1/40320 binary64)) x #s(literal 1/720 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1625702400 binary64) (-.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) #s(literal -1/29030400 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/65548320768000 binary64)) #s(literal 1/373248000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal -1/720 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1625702400 binary64) #s(literal -1/518400 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1625702400 binary64) (-.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) #s(literal -1/29030400 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/65548320768000 binary64)) #s(literal 1/373248000 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal -1/720 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1625702400 binary64) #s(literal -1/518400 binary64))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/65548320768000 binary64)) #s(literal 1/373248000 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1625702400 binary64) (-.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) #s(literal -1/29030400 binary64))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/65548320768000 binary64)) #s(literal 1/373248000 binary64)) (+.f64 #s(literal 1/518400 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1625702400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/29030400 binary64))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1625702400 binary64) #s(literal -1/518400 binary64)) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal -1/720 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/65548320768000 binary64)) #s(literal 1/373248000 binary64))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1625702400 binary64) (-.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) #s(literal -1/29030400 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/65548320768000 binary64)) #s(literal 1/373248000 binary64))) (neg.f64 (+.f64 #s(literal 1/518400 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1625702400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/29030400 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1625702400 binary64) #s(literal -1/518400 binary64))) (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal -1/720 binary64)))) |
(/.f64 (-.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1625702400 binary64))) (-.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x #s(literal -1/40320 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1625702400 binary64)) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal -1/720 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal -1/720 binary64)) #s(literal 1/518400 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal -1/720 binary64)) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal -1/720 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/65548320768000 binary64)) #s(literal 1/373248000 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1625702400 binary64) (-.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) #s(literal -1/29030400 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1625702400 binary64) #s(literal -1/518400 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal -1/720 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1625702400 binary64)))) (neg.f64 (-.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x #s(literal -1/40320 binary64)))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1625702400 binary64) (-.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) #s(literal -1/29030400 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/65548320768000 binary64)) #s(literal 1/373248000 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal -1/720 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1625702400 binary64) #s(literal -1/518400 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/65548320768000 binary64)) #s(literal 1/373248000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1625702400 binary64) (-.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) #s(literal -1/29030400 binary64)))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1625702400 binary64) #s(literal -1/518400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal -1/720 binary64)))) |
(cos.f64 x) |
(*.f64 #s(literal 1 binary64) (cos.f64 x)) |
(*.f64 (cos.f64 x) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 3/2 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (*.f64 x (*.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (*.f64 x x)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
Compiled 33 767 to 2 440 computations (92.8% saved)
27 alts after pruning (23 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 382 | 18 | 1 400 |
| Fresh | 9 | 5 | 14 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 393 | 27 | 1 420 |
| Status | Accuracy | Program |
|---|---|---|
| 12.3% | (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))))) | |
| 12.6% | (/.f64 (fma.f64 (neg.f64 x) (*.f64 x (cos.f64 x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| 12.5% | (/.f64 (fma.f64 x x (*.f64 (cos.f64 x) (neg.f64 (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| ▶ | 22.6% | (/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) x) (*.f64 x x)) x) |
| 22.5% | (/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) x) x) (*.f64 x x)) | |
| 22.4% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) | |
| ▶ | 49.3% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| 71.9% | (/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x) x) | |
| 48.3% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 x x)) | |
| 49.2% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) x)) (neg.f64 x)) | |
| ▶ | 12.2% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
| 41.0% | (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) | |
| 48.3% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) | |
| ✓ | 48.4% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 27.8% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| 71.0% | (/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) | |
| 12.2% | (/.f64 #s(approx (- (* x x) (* (* x (neg x)) (neg (cos x)))) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x))))) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| 11.2% | (/.f64 #s(approx (- (* x x) (* (* x (neg x)) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| ✓ | 48.5% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
| 71.9% | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) | |
| 48.4% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| ▶ | 71.9% | (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) |
| 71.3% | (*.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) | |
| 53.6% | #s(approx (/ (- (* x x) (* (* x (neg x)) (neg (cos x)))) (* x (* x (* x 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))) | |
| ▶ | 53.3% | #s(approx (/ (- (* x x) (* (* x (neg x)) (neg (cos x)))) (* x (* x (* x x)))) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
| ✓ | 53.3% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (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))) |
| ✓ | 54.3% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 763 to 420 computations (45% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 256 | (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) x) (*.f64 x x)) x) |
| ✓ | cost-diff | 640 | (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) x) (*.f64 x x)) |
| ✓ | cost-diff | 1024 | (/.f64 (*.f64 x (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (cos.f64 x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 320 | (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) |
| ✓ | cost-diff | 1280 | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x (*.f64 x (*.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)) x) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (/ (- (* x x) (* (* x (neg x)) (neg (cos x)))) (* x (* x (* x x)))) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
| ✓ | 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 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) |
| 3 896× | lower-fma.f32 |
| 3 894× | lower-fma.f64 |
| 2 990× | lower-*.f32 |
| 2 974× | lower-*.f64 |
| 952× | unsub-neg |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 227 |
| 0 | 65 | 223 |
| 1 | 138 | 189 |
| 2 | 339 | 165 |
| 3 | 1869 | 165 |
| 4 | 4655 | 165 |
| 5 | 6973 | 165 |
| 6 | 7852 | 165 |
| 0 | 8034 | 165 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) |
(sin.f64 x) |
x |
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
#s(approx (/ (- (* x x) (* (* x (neg x)) (neg (cos x)))) (* x (* x (* x x)))) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
#s(literal -1/24 binary64) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x x) (cos.f64 x)) |
(cos.f64 x) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) x) (*.f64 x x)) x) |
(/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) x) (*.f64 x x)) |
(/.f64 (*.f64 x (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) x) |
(*.f64 x (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) |
x |
(-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) |
(*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))) |
(neg.f64 x) |
(neg.f64 (cos.f64 x)) |
(cos.f64 x) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) |
(sin.f64 x) |
x |
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
#s(approx (/ (- (* x x) (* (* x (neg x)) (neg (cos x)))) (* x (* x (* x x)))) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* x x) (* (* x (neg x)) (neg (cos x)))) (* x (* x (* x x)))) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
#s(literal -1/24 binary64) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) |
(*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x x) (cos.f64 x)) |
(*.f64 x (*.f64 x (cos.f64 x))) |
(cos.f64 x) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) x) (*.f64 x x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) x) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/.f64 (*.f64 x (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) x) |
(-.f64 x (*.f64 x (cos.f64 x))) |
(*.f64 x (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) |
(*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))) |
x |
(-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) |
(-.f64 x (*.f64 x (cos.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))) |
(*.f64 x (cos.f64 x)) |
(neg.f64 x) |
(neg.f64 (cos.f64 x)) |
(cos.f64 x) |
(*.f64 x x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))) |
| ✓ | accuracy | 86.7% | (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) |
| ✓ | accuracy | 72.8% | (/.f64 (*.f64 x (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) x) |
| ✓ | accuracy | 38.1% | (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) x) (*.f64 x x)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) (cos.f64 x)) |
| ✓ | accuracy | 79.5% | (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) |
| ✓ | accuracy | 23.9% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 99.9% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| ✓ | accuracy | 77.6% | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| ✓ | accuracy | 73.0% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 53.3% | #s(approx (/ (- (* x x) (* (* x (neg x)) (neg (cos x)))) (* x (* x (* x x)))) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 99.8% | (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) |
| ✓ | accuracy | 73.1% | (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) |
| 283.0ms | 82× | 2 | valid |
| 51.0ms | 122× | 0 | valid |
| 19.0ms | 18× | 3 | valid |
| 16.0ms | 34× | 1 | valid |
Compiled 223 to 35 computations (84.3% saved)
ival-div: 129.0ms (37.9% of total)adjust: 116.0ms (34.1% of total)ival-mult: 37.0ms (10.9% of total)ival-cos: 27.0ms (7.9% of total)ival-sub: 9.0ms (2.6% of total)ival-sin: 8.0ms (2.4% of total)ival-tan: 5.0ms (1.5% of total)const: 4.0ms (1.2% of total)ival-neg: 3.0ms (0.9% of total)ival-add: 2.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)))> |
#<alt (sin.f64 x)> |
#<alt (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))> |
#<alt (tan.f64 (*.f64 x #s(literal 1/2 binary64)))> |
#<alt #s(approx (/ (- (* x x) (* (* x (neg x)) (neg (cos x)))) (* x (* x (* x x)))) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))> |
#<alt (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))> |
#<alt (*.f64 x x)> |
#<alt (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)> |
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)> |
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))> |
#<alt (cos.f64 x)> |
#<alt (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x))))> |
#<alt (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x)))> |
#<alt (*.f64 (*.f64 x x) (cos.f64 x))> |
#<alt (/.f64 (*.f64 x (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) x)> |
#<alt (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) x) (*.f64 x x))> |
#<alt (/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) x) (*.f64 x x)) x)> |
#<alt (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))> |
#<alt (*.f64 x (*.f64 x x))> |
#<alt (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 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 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 (/ (+ 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 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> |
#<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 (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 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 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<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 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 4))> |
#<alt (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* -1/2 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))> |
#<alt (* (pow x 2) (cos x))> |
#<alt (* (pow x 2) (cos x))> |
#<alt (* (pow x 2) (cos x))> |
#<alt (* (pow x 2) (cos x))> |
#<alt (* (pow x 2) (cos x))> |
#<alt (* (pow x 2) (cos x))> |
#<alt (* (pow x 2) (cos x))> |
#<alt (* (pow x 2) (cos x))> |
#<alt (* 1/2 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (* x (- 1 (cos x)))> |
#<alt (* x (- 1 (cos x)))> |
#<alt (* x (- 1 (cos x)))> |
#<alt (* x (- 1 (cos x)))> |
#<alt (* x (+ 1 (* -1 (cos x))))> |
#<alt (* x (+ 1 (* -1 (cos x))))> |
#<alt (* x (+ 1 (* -1 (cos x))))> |
#<alt (* x (+ 1 (* -1 (cos x))))> |
#<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 x> |
#<alt (* x (+ 1 (* -1/2 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (* 1/2 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (* x (- 1 (cos x)))> |
#<alt (* x (- 1 (cos x)))> |
#<alt (* x (- 1 (cos x)))> |
#<alt (* x (- 1 (cos x)))> |
#<alt (* x (+ 1 (* -1 (cos x))))> |
#<alt (* x (+ 1 (* -1 (cos x))))> |
#<alt (* x (+ 1 (* -1 (cos x))))> |
#<alt (* x (+ 1 (* -1 (cos x))))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (* (sin x) (/ (tan (* x 1/2)) (* x x))) |
| 1.0ms | x | @ | inf | (* (* x x) (cos x)) |
| 1.0ms | x | @ | -inf | (/ (* x (- x (* (neg x) (neg (cos x))))) x) |
| 1.0ms | x | @ | -inf | (/ (/ (* x (- x (* (neg x) (neg (cos x))))) x) (* x x)) |
| 1.0ms | x | @ | -inf | (/ (- (* x x) (* (* x x) (cos x))) (* x (* x (* x x)))) |
| 1× | egg-herbie |
| 16 190× | lower-fma.f64 |
| 16 190× | lower-fma.f32 |
| 4 700× | lower-*.f64 |
| 4 700× | lower-*.f32 |
| 2 886× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 126 | 1908 |
| 1 | 386 | 1890 |
| 2 | 917 | 1890 |
| 3 | 2738 | 1890 |
| 4 | 3644 | 1890 |
| 5 | 4607 | 1890 |
| 6 | 6155 | 1890 |
| 7 | 7685 | 1890 |
| 0 | 8140 | 1779 |
| 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)))) |
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) |
(/ (+ 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))) |
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 |
(+ 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)) |
(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 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 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(* 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) |
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 4)) |
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* (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 (cos x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1/2 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(* (pow x 2) (cos x)) |
(* (pow x 2) (cos x)) |
(* (pow x 2) (cos x)) |
(* (pow x 2) (cos x)) |
(* (pow x 2) (cos x)) |
(* (pow x 2) (cos x)) |
(* (pow x 2) (cos x)) |
(* (pow x 2) (cos x)) |
(* 1/2 (pow x 3)) |
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* x (- 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)))) |
(* 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)) |
x |
(* 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)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 1/2 (pow x 3)) |
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* x (- 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)))) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x 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 (*.f64 x x) (fma.f64 (*.f64 x x) (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 (*.f64 x x) (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 (*.f64 x x) (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 (*.f64 x x) (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 (*.f64 x x) (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 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
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(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(* (pow x 2) (cos x)) |
(*.f64 (*.f64 x x) (cos.f64 x)) |
(* (pow x 2) (cos x)) |
(*.f64 (*.f64 x x) (cos.f64 x)) |
(* (pow x 2) (cos x)) |
(*.f64 (*.f64 x x) (cos.f64 x)) |
(* (pow x 2) (cos x)) |
(*.f64 (*.f64 x x) (cos.f64 x)) |
(* (pow x 2) (cos x)) |
(*.f64 (*.f64 x x) (cos.f64 x)) |
(* (pow x 2) (cos x)) |
(*.f64 (*.f64 x x) (cos.f64 x)) |
(* (pow x 2) (cos x)) |
(*.f64 (*.f64 x x) (cos.f64 x)) |
(* (pow x 2) (cos x)) |
(*.f64 (*.f64 x x) (cos.f64 x)) |
(* 1/2 (pow x 3)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (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)) (*.f64 x (*.f64 x x))) |
(* x (- 1 (cos x))) |
(fma.f64 (cos.f64 x) (neg.f64 x) x) |
(* x (- 1 (cos x))) |
(fma.f64 (cos.f64 x) (neg.f64 x) x) |
(* x (- 1 (cos x))) |
(fma.f64 (cos.f64 x) (neg.f64 x) x) |
(* x (- 1 (cos x))) |
(fma.f64 (cos.f64 x) (neg.f64 x) x) |
(* x (+ 1 (* -1 (cos x)))) |
(fma.f64 (cos.f64 x) (neg.f64 x) x) |
(* x (+ 1 (* -1 (cos x)))) |
(fma.f64 (cos.f64 x) (neg.f64 x) x) |
(* x (+ 1 (* -1 (cos x)))) |
(fma.f64 (cos.f64 x) (neg.f64 x) x) |
(* x (+ 1 (* -1 (cos x)))) |
(fma.f64 (cos.f64 x) (neg.f64 x) x) |
(* 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) (*.f64 x x) #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 (*.f64 x 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 (*.f64 x x) (fma.f64 (*.f64 x x) (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)) 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) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x 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 (*.f64 x x) (fma.f64 (*.f64 x x) (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)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
x |
(* x (+ 1 (* -1/2 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* 1/2 (pow x 3)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (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)) (*.f64 x (*.f64 x x))) |
(* x (- 1 (cos x))) |
(fma.f64 (cos.f64 x) (neg.f64 x) x) |
(* x (- 1 (cos x))) |
(fma.f64 (cos.f64 x) (neg.f64 x) x) |
(* x (- 1 (cos x))) |
(fma.f64 (cos.f64 x) (neg.f64 x) x) |
(* x (- 1 (cos x))) |
(fma.f64 (cos.f64 x) (neg.f64 x) x) |
(* x (+ 1 (* -1 (cos x)))) |
(fma.f64 (cos.f64 x) (neg.f64 x) x) |
(* x (+ 1 (* -1 (cos x)))) |
(fma.f64 (cos.f64 x) (neg.f64 x) x) |
(* x (+ 1 (* -1 (cos x)))) |
(fma.f64 (cos.f64 x) (neg.f64 x) x) |
(* x (+ 1 (* -1 (cos x)))) |
(fma.f64 (cos.f64 x) (neg.f64 x) x) |
| 1× | batch-egg-rewrite |
| 908× | lower-*.f32 |
| 892× | lower-*.f64 |
| 830× | lower-/.f32 |
| 816× | lower-/.f64 |
| 544× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 180 |
| 0 | 65 | 171 |
| 1 | 249 | 144 |
| 0 | 1776 | 144 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) |
(sin.f64 x) |
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (/ (- (* x x) (* (* x (neg x)) (neg (cos x)))) (* x (* x (* x x)))) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) |
(*.f64 (*.f64 x x) (cos.f64 x)) |
(/.f64 (*.f64 x (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) x) |
(/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) x) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) x) (*.f64 x x)) x) |
(*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))) |
(*.f64 x (*.f64 x x)) |
(-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) |
| Outputs |
|---|
(/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x (neg.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x (neg.f64 x))) |
(/.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 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (*.f64 x (neg.f64 x))) |
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (sin.f64 x)) x) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x) x) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) |
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (sin.f64 x))) |
(*.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 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) |
(sin.f64 x) |
(neg.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (neg.f64 x)))) |
(neg.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x))) |
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 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))) (*.f64 x x))) |
(/.f64 (neg.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x x)) |
(/.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) (neg.f64 x)) |
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x) (neg.f64 x)) |
(pow.f64 (/.f64 (*.f64 x x) (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) (*.f64 x x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) |
(*.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 #s(literal 1 binary64) x)) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
#s(approx (/ (- (* x x) (* (* x (neg x)) (neg (cos x)))) (* x (* x (* x x)))) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/576 binary64)) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/2 binary64)))) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/576 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/13824 binary64) #s(literal 1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/576 binary64) #s(literal -1/4 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/13824 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/576 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/48 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/13824 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal -1/48 binary64))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/13824 binary64) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/576 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/48 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/576 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/576 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))) |
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(fma.f64 x (/.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(fma.f64 (/.f64 x x) (/.f64 x (*.f64 x (*.f64 x x))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (neg.f64 (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(fma.f64 (/.f64 x (*.f64 x (*.f64 x x))) (/.f64 x x) (neg.f64 (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(neg.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 x x)) (neg.f64 x))) |
(neg.f64 (/.f64 (*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 x x))) x)) |
(neg.f64 (/.f64 (neg.f64 (*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x))) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (/.f64 (*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)) x) (*.f64 x (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 x x)) x) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x))) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)) x)) (neg.f64 (*.f64 x (*.f64 x x)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)) x)) (*.f64 x (*.f64 x (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 x x))) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (/.f64 x (*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (pow.f64 (*.f64 x (*.f64 x (cos.f64 x))) #s(literal 3 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (fma.f64 x (cos.f64 x) x)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 x (cos.f64 x) x)))) |
(/.f64 (/.f64 (*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (cos.f64 x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)) x) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) |
(/.f64 (*.f64 (neg.f64 (/.f64 (*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)) x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (neg.f64 x)) x)) |
(/.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (pow.f64 (*.f64 x (*.f64 x (cos.f64 x))) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (fma.f64 x (cos.f64 x) x)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) #s(literal 1 binary64)) (*.f64 (*.f64 x (fma.f64 x (cos.f64 x) x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)))) (neg.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 x (/.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 x x)) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 (neg.f64 (/.f64 (*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 x (neg.f64 x))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (pow.f64 (*.f64 x (*.f64 x (cos.f64 x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (fma.f64 x (cos.f64 x) x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (fma.f64 x (cos.f64 x) x))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 x x))) #s(literal -1 binary64)) x) |
(pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x))) #s(literal -1 binary64)) |
(*.f64 x (/.f64 (/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) x) (*.f64 x (*.f64 x x)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) |
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 x x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (neg.f64 (*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 x x) (/.f64 (/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) x) (*.f64 x x))) |
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 (/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) x) x)) |
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (cos.f64 x)))) |
(neg.f64 (neg.f64 (*.f64 x (cos.f64 x)))) |
(*.f64 x (cos.f64 x)) |
(*.f64 x (neg.f64 (neg.f64 (cos.f64 x)))) |
(*.f64 (cos.f64 x) x) |
(*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))) |
(*.f64 (neg.f64 (cos.f64 x)) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (cos.f64 x)))) |
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (cos.f64 x)) |
(*.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(+.f64 x (neg.f64 (*.f64 x (cos.f64 x)))) |
(+.f64 (neg.f64 (*.f64 x (cos.f64 x))) x) |
(-.f64 x (*.f64 x (cos.f64 x))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (cos.f64 x)) (fma.f64 x (cos.f64 x) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 x (cos.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 x)) (fma.f64 x (cos.f64 x) x) (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 x x) (fma.f64 x (cos.f64 x) x)) (/.f64 (pow.f64 (*.f64 x (cos.f64 x)) #s(literal 2 binary64)) (fma.f64 x (cos.f64 x) x))) |
(fma.f64 x (neg.f64 (cos.f64 x)) x) |
(fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 x (cos.f64 x)))) |
(fma.f64 (cos.f64 x) (neg.f64 x) x) |
(fma.f64 (neg.f64 x) (cos.f64 x) x) |
(fma.f64 (neg.f64 x) (neg.f64 (neg.f64 (cos.f64 x))) x) |
(fma.f64 (neg.f64 (cos.f64 x)) x x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (neg.f64 (*.f64 x (cos.f64 x)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 x (cos.f64 x)) x) |
(fma.f64 (neg.f64 (neg.f64 (cos.f64 x))) (neg.f64 x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (cos.f64 x)) (fma.f64 x (cos.f64 x) x) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 x (cos.f64 x)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (cos.f64 x) x) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (cos.f64 x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 x (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (cos.f64 x)) (fma.f64 x (cos.f64 x) x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (cos.f64 x)) #s(literal 2 binary64))) (fma.f64 x (cos.f64 x) x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 x (cos.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x (cos.f64 x)) (fma.f64 x (cos.f64 x) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (cos.f64 x)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x (cos.f64 x) x))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (neg.f64 (*.f64 x (cos.f64 x))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (cos.f64 x)) (fma.f64 x (cos.f64 x) x) (*.f64 x x))) |
(*.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 x (cos.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (cos.f64 x)) (fma.f64 x (cos.f64 x) x) (*.f64 x x)))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (cos.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 x) x))) |
Compiled 13 820 to 1 338 computations (90.3% saved)
35 alts after pruning (27 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 761 | 13 | 774 |
| Fresh | 4 | 14 | 18 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 766 | 35 | 801 |
| Status | Accuracy | Program |
|---|---|---|
| 12.3% | (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))))) | |
| 12.6% | (/.f64 (fma.f64 (neg.f64 x) (*.f64 x (cos.f64 x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| 12.5% | (/.f64 (fma.f64 x x (*.f64 (cos.f64 x) (neg.f64 (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| 48.4% | (/.f64 (/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) (*.f64 x x)) x) | |
| 22.5% | (/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) x) x) (*.f64 x x)) | |
| ▶ | 11.7% | (/.f64 (/.f64 (/.f64 (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))) x) (*.f64 x x)) x) |
| ▶ | 22.4% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) |
| ✓ | 49.3% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| 71.9% | (/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x) x) | |
| 22.5% | (/.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 x)) x) | |
| 15.0% | (/.f64 (/.f64 #s(approx (/ (* x (- x (* (neg x) (neg (cos x))))) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x)) x) | |
| 25.9% | (/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x) | |
| 49.3% | (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) | |
| 48.3% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 x x)) | |
| ▶ | 49.2% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) |
| ✓ | 12.2% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
| 41.0% | (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) | |
| 48.3% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) | |
| ✓ | 48.4% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ▶ | 27.8% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| 12.2% | (/.f64 (*.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) x) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| 53.3% | (/.f64 #s(approx (/ (/ (* x (- x (* (neg x) (neg (cos x))))) x) (* x x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (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)))) x) | |
| 11.2% | (/.f64 #s(approx (- (* x x) (* (* x (neg x)) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| 49.3% | (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))) | |
| ✓ | 48.5% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
| 71.9% | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) | |
| 48.4% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| ✓ | 71.9% | (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) |
| ▶ | 71.9% | (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
| 71.3% | (*.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) | |
| 55.1% | (*.f64 (sin.f64 x) #s(approx (/ (tan (* x 1/2)) (* x x)) (/.f64 #s(literal 1/2 binary64) x))) | |
| 53.6% | #s(approx (/ (/ (/ (* x (- x (* (neg x) (neg (cos x))))) x) (* x x)) x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) | |
| ✓ | 53.3% | #s(approx (/ (- (* x x) (* (* x (neg x)) (neg (cos x)))) (* x (* x (* x x)))) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
| ✓ | 53.3% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (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))) |
| ✓ | 54.3% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 927 to 511 computations (44.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) |
| ✓ | cost-diff | 320 | (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) |
| ✓ | cost-diff | 1664 | (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (/.f64 (cos.f64 x) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 384 | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) |
| ✓ | cost-diff | 704 | (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))) x) (*.f64 x x)) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (/.f64 (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))) x) (*.f64 x x)) x) |
| ✓ | cost-diff | 1024 | (/.f64 (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))) x) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | #s(approx (cos x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
| 2 186× | lower-*.f32 |
| 2 170× | lower-*.f64 |
| 2 042× | lower-fma.f64 |
| 2 042× | lower-fma.f32 |
| 1 820× | lower-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 279 |
| 0 | 61 | 248 |
| 1 | 129 | 241 |
| 2 | 295 | 219 |
| 3 | 1307 | 211 |
| 4 | 4895 | 211 |
| 5 | 7864 | 211 |
| 0 | 8034 | 211 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(sin.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 x x) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
#s(approx (cos x) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(/.f64 (/.f64 (/.f64 (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))) x) (*.f64 x x)) x) |
(/.f64 (/.f64 (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))) x) (*.f64 x x)) |
(/.f64 (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))) x) |
(*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))) |
x |
#s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) |
#s(literal 1/2 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 (cos.f64 x) x) |
(cos.f64 x) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) |
(*.f64 x x) |
x |
(*.f64 x (*.f64 x (cos.f64 x))) |
(*.f64 x (cos.f64 x)) |
(cos.f64 x) |
| Outputs |
|---|
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) |
(sin.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 x x) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
#s(approx (cos x) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(/.f64 (/.f64 (/.f64 (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))) x) (*.f64 x x)) x) |
(/.f64 #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))) x) (*.f64 x x)) |
(/.f64 #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x)) |
(/.f64 (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))) x) |
#s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) |
x |
#s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))) |
#s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
#s(literal 1/2 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 (cos.f64 x) x) |
(cos.f64 x) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) |
(*.f64 x (fma.f64 (neg.f64 x) (cos.f64 x) x)) |
(*.f64 x x) |
x |
(*.f64 x (*.f64 x (cos.f64 x))) |
(*.f64 (*.f64 x x) (cos.f64 x)) |
(*.f64 x (cos.f64 x)) |
(cos.f64 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 x (cos.f64 x)) |
| ✓ | accuracy | 79.5% | (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) |
| ✓ | accuracy | 71.9% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) |
| ✓ | accuracy | 35.0% | (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 99.9% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) |
| ✓ | accuracy | 99.8% | (/.f64 (cos.f64 x) x) |
| ✓ | accuracy | 50.1% | (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 72.8% | (/.f64 (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))) x) |
| ✓ | accuracy | 55.3% | #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))) |
| ✓ | accuracy | 38.1% | (/.f64 (/.f64 (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))) x) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | #s(approx (cos x) #s(literal 1 binary64)) |
| ✓ | accuracy | 71.9% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| ✓ | accuracy | 31.8% | (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
| ✓ | accuracy | 73.2% | (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| 93.0ms | 83× | 2 | valid |
| 77.0ms | 17× | 3 | valid |
| 41.0ms | 122× | 0 | valid |
| 16.0ms | 34× | 1 | valid |
Compiled 235 to 34 computations (85.5% saved)
ival-div: 70.0ms (37.3% of total)ival-mult: 43.0ms (22.9% of total)ival-cos: 32.0ms (17.1% of total)ival-sub: 17.0ms (9.1% of total)adjust: 10.0ms (5.3% of total)ival-sin: 6.0ms (3.2% of total)ival-tan: 5.0ms (2.7% of total)ival-neg: 3.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))> |
#<alt (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))> |
#<alt (sin.f64 x)> |
#<alt (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))> |
#<alt (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))> |
#<alt (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))> |
#<alt #s(approx (cos x) #s(literal 1 binary64))> |
#<alt (*.f64 x x)> |
#<alt (/.f64 (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))) x)> |
#<alt (/.f64 (/.f64 (/.f64 (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))) x) (*.f64 x x)) x)> |
#<alt (/.f64 (/.f64 (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))) x) (*.f64 x x))> |
#<alt (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))))> |
#<alt (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))> |
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)> |
#<alt (/.f64 #s(literal 1 binary64) x)> |
#<alt (/.f64 (cos.f64 x) x)> |
#<alt (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x))> |
#<alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x))))> |
#<alt (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x))> |
#<alt #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))> |
#<alt (*.f64 x (*.f64 x x))> |
#<alt (cos.f64 x)> |
#<alt (*.f64 x (cos.f64 x))> |
| Outputs |
|---|
#<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> |
#<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 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 (* 2 x)> |
#<alt (* x (+ 2 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6))))> |
#<alt (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6))))> |
#<alt (/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x)))> |
#<alt (/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x)))> |
#<alt (/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x)))> |
#<alt (/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x)))> |
#<alt (/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x)))> |
#<alt (/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x)))> |
#<alt (/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x)))> |
#<alt (/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 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)) (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)> |
#<alt (* 1/2 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (* x (- 1 (cos x)))> |
#<alt (* x (- 1 (cos x)))> |
#<alt (* x (- 1 (cos x)))> |
#<alt (* x (- 1 (cos x)))> |
#<alt (* x (+ 1 (* -1 (cos x))))> |
#<alt (* x (+ 1 (* -1 (cos x))))> |
#<alt (* x (+ 1 (* -1 (cos x))))> |
#<alt (* x (+ 1 (* -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 (/ (- 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 (* 1/2 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 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (+ 1 (* -1 (cos x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (cos x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (cos x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (cos x))))> |
#<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 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 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 (* (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 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 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 (/ (- 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 3))> |
#<alt (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (* x (- 1 (cos x)))> |
#<alt (* x (- 1 (cos x)))> |
#<alt (* x (- 1 (cos x)))> |
#<alt (* x (- 1 (cos x)))> |
#<alt (* x (+ 1 (* -1 (cos x))))> |
#<alt (* x (+ 1 (* -1 (cos x))))> |
#<alt (* x (+ 1 (* -1 (cos x))))> |
#<alt (* x (+ 1 (* -1 (cos x))))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<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 x> |
#<alt (* x (+ 1 (* -1/2 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (- (/ 1 x) (/ (cos x) x)) |
| 3.0ms | x | @ | inf | (* (sin x) (/ 1 (/ (* x x) (tan (* x 1/2))))) |
| 1.0ms | x | @ | -inf | (/ 1 x) |
| 1.0ms | x | @ | inf | (/ (* x x) (tan (* x 1/2))) |
| 1.0ms | x | @ | -inf | (/ (- (/ 1 x) (/ (cos x) x)) x) |
| 1× | egg-herbie |
| 17 856× | lower-fma.f64 |
| 17 856× | lower-fma.f32 |
| 4 928× | lower-*.f64 |
| 4 928× | lower-*.f32 |
| 3 714× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 139 | 2144 |
| 1 | 396 | 2132 |
| 2 | 906 | 2132 |
| 3 | 2718 | 2132 |
| 4 | 5120 | 2132 |
| 5 | 5469 | 2132 |
| 6 | 5972 | 2132 |
| 7 | 6872 | 2132 |
| 0 | 8114 | 2012 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 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 |
(+ 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)))) |
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) |
(* 2 x) |
(* x (+ 2 (* -1/6 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6)))) |
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6)))) |
(/ (* (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))) (sin (* 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)) (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) |
(* 1/2 (pow x 3)) |
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* x (- 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)))) |
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)) |
(* 1/2 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 (pow x 4)) |
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* (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 (* -1 (cos x)))) |
(* (pow x 2) (+ 1 (* -1 (cos x)))) |
(* (pow x 2) (+ 1 (* -1 (cos x)))) |
(* (pow x 2) (+ 1 (* -1 (cos x)))) |
(* 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 x) |
(/ 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 (* -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)) |
(* (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 (pow x 4)) |
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* (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 (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)) (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 3)) |
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* x (- 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)))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
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) |
x |
(* 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)) |
| Outputs |
|---|
(/ 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 (*.f64 x x) (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 (*.f64 x x) (fma.f64 (*.f64 x x) (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)) x) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) (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 (*.f64 x x) (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 (*.f64 x x) (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 (*.f64 x x) (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 (*.f64 x x) (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 (*.f64 x x) (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 (*.f64 x x) (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 (*.f64 x 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 (*.f64 x x) (fma.f64 (*.f64 x 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 (*.f64 x x) (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 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (*.f64 x x) (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 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (*.f64 x x) (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 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (*.f64 x x) (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 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (*.f64 x x) (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 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (*.f64 x x) (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 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (*.f64 x x) (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 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (*.f64 x x) (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 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) 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) |
(sin x) |
(sin.f64 x) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* -1/6 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) |
(* x (+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/360 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64))) |
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/15120 binary64)) #s(literal -1/360 binary64)) #s(literal -1/6 binary64)) #s(literal 2 binary64))) |
(/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x))) |
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x))) |
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x))) |
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x))) |
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x))) |
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x))) |
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x))) |
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x))) |
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.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 (*.f64 x x) (fma.f64 (*.f64 x 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 (*.f64 x x) (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)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 x (*.f64 x (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 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #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 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (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 |
#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 (*.f64 x 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 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x 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) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/2 (pow x 3)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (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)))) |
(* x (- 1 (cos x))) |
(fma.f64 (cos.f64 x) (neg.f64 x) x) |
(* x (- 1 (cos x))) |
(fma.f64 (cos.f64 x) (neg.f64 x) x) |
(* x (- 1 (cos x))) |
(fma.f64 (cos.f64 x) (neg.f64 x) x) |
(* x (- 1 (cos x))) |
(fma.f64 (cos.f64 x) (neg.f64 x) x) |
(* x (+ 1 (* -1 (cos x)))) |
(fma.f64 (cos.f64 x) (neg.f64 x) x) |
(* x (+ 1 (* -1 (cos x)))) |
(fma.f64 (cos.f64 x) (neg.f64 x) x) |
(* x (+ 1 (* -1 (cos x)))) |
(fma.f64 (cos.f64 x) (neg.f64 x) x) |
(* x (+ 1 (* -1 (cos x)))) |
(fma.f64 (cos.f64 x) (neg.f64 x) 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 (*.f64 x x) (fma.f64 (*.f64 x 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 (*.f64 x x) (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)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x 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) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x 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 (*.f64 x x) (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)) 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 (pow x 4)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (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)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)) |
(* (pow x 2) (+ 1 (* -1 (cos x)))) |
(*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)) |
(* (pow x 2) (+ 1 (* -1 (cos x)))) |
(*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)) |
(* (pow x 2) (+ 1 (* -1 (cos x)))) |
(*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)) |
(* (pow x 2) (+ 1 (* -1 (cos x)))) |
(*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) 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) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x 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 (*.f64 x x) (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)) 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 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 (*.f64 x x) (fma.f64 (*.f64 x 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 (*.f64 x x) (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)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x 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 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 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 (*.f64 x 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 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x 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 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 x (*.f64 x (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 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #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 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (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 (pow x 4)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (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)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) 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 (*.f64 x x) (fma.f64 (*.f64 x 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 (*.f64 x x) (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)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* 1/2 (pow x 3)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (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)))) |
(* x (- 1 (cos x))) |
(fma.f64 (cos.f64 x) (neg.f64 x) x) |
(* x (- 1 (cos x))) |
(fma.f64 (cos.f64 x) (neg.f64 x) x) |
(* x (- 1 (cos x))) |
(fma.f64 (cos.f64 x) (neg.f64 x) x) |
(* x (- 1 (cos x))) |
(fma.f64 (cos.f64 x) (neg.f64 x) x) |
(* x (+ 1 (* -1 (cos x)))) |
(fma.f64 (cos.f64 x) (neg.f64 x) x) |
(* x (+ 1 (* -1 (cos x)))) |
(fma.f64 (cos.f64 x) (neg.f64 x) x) |
(* x (+ 1 (* -1 (cos x)))) |
(fma.f64 (cos.f64 x) (neg.f64 x) x) |
(* x (+ 1 (* -1 (cos x)))) |
(fma.f64 (cos.f64 x) (neg.f64 x) x) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
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 (*.f64 x 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 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x 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) |
x |
(* x (+ 1 (* -1/2 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
| 1× | batch-egg-rewrite |
| 5 396× | lower-/.f32 |
| 5 374× | lower-/.f64 |
| 3 636× | lower-fma.f64 |
| 3 636× | lower-fma.f32 |
| 3 534× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 238 |
| 0 | 61 | 197 |
| 1 | 243 | 184 |
| 2 | 1948 | 184 |
| 0 | 8307 | 184 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(sin.f64 x) |
(/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (cos x) #s(literal 1 binary64)) |
(*.f64 x x) |
(/.f64 (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))) x) |
(/.f64 (/.f64 (/.f64 (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))) x) (*.f64 x x)) x) |
(/.f64 (/.f64 (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))) x) (*.f64 x x)) |
(*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (cos.f64 x) x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) |
#s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 x x)) |
(cos.f64 x) |
(*.f64 x (cos.f64 x)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (*.f64 x x)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
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(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) (*.f64 (neg.f64 x) (*.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) (*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x))))) (neg.f64 (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) (*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (cos.f64 x))))) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (fma.f64 (neg.f64 x) (cos.f64 x) x)) #s(literal 1 binary64))) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 x) (fma.f64 (neg.f64 x) (cos.f64 x) x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 (*.f64 x x)) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) x)) #s(literal 1 binary64))) (neg.f64 (*.f64 x (*.f64 x x)))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) x))) x) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal 1 binary64))) (neg.f64 (*.f64 x x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x)))) (neg.f64 (*.f64 x x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (neg.f64 (*.f64 x x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))) (neg.f64 (neg.f64 (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) #s(literal 1 binary64))) (neg.f64 (*.f64 x (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (/.f64 (cos.f64 x) x) (/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 (/.f64 (cos.f64 x) x) (/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) (neg.f64 x)) x))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) (neg.f64 x)) (neg.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)))) (neg.f64 x)) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 (/.f64 (cos.f64 x) (*.f64 x x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 x x))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal -1 binary64))) x) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (*.f64 x x))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (fma.f64 (/.f64 (cos.f64 x) x) (/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) (neg.f64 x)))) |
(/.f64 (neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) #s(literal -1 binary64))) (neg.f64 x)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))))) |
(pow.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 (neg.f64 x) (cos.f64 x) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (/.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
(*.f64 x (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 x (fma.f64 (neg.f64 x) (cos.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (neg.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))) |
(*.f64 (*.f64 x (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) |
(*.f64 (*.f64 x (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) x)) (pow.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) |
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 x (fma.f64 (neg.f64 x) (cos.f64 x) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 x) (cos.f64 x) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (cos.f64 x) x) (/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(*.f64 (pow.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) (neg.f64 x)))) |
#s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64))) |
(neg.f64 (neg.f64 (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(+.f64 (*.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x)) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 x)))) |
(cos.f64 x) |
(cos.f64 (neg.f64 x)) |
(fma.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 x)))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 (cos.f64 x)))) |
(neg.f64 (*.f64 x (neg.f64 (cos.f64 x)))) |
(*.f64 x (cos.f64 x)) |
(*.f64 x (neg.f64 (neg.f64 (cos.f64 x)))) |
(*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))) |
(*.f64 (neg.f64 (cos.f64 x)) (neg.f64 x)) |
(*.f64 (cos.f64 x) x) |
(*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 (cos.f64 x)))) |
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (cos.f64 x)) |
(*.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) x) |
Compiled 32 970 to 3 095 computations (90.6% saved)
44 alts after pruning (33 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 588 | 19 | 1 607 |
| Fresh | 8 | 14 | 22 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 8 | 8 |
| Total | 1 598 | 44 | 1 642 |
| Status | Accuracy | Program |
|---|---|---|
| 28.6% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) | |
| 12.3% | (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))))) | |
| 12.6% | (/.f64 (fma.f64 (neg.f64 x) (*.f64 x (cos.f64 x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| 41.1% | (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x (*.f64 x x))) | |
| 12.5% | (/.f64 (fma.f64 x x (*.f64 (cos.f64 x) (neg.f64 (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| 22.6% | (/.f64 (/.f64 (fma.f64 (*.f64 x (neg.f64 (cos.f64 x))) x (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) | |
| 48.4% | (/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x) | |
| ✓ | 49.3% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| 71.9% | (/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x) x) | |
| 11.6% | (/.f64 (/.f64 (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x x)) (*.f64 x x)) | |
| 15.0% | (/.f64 (/.f64 #s(approx (/ (* x (- x (* (neg x) (neg (cos x))))) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x)) x) | |
| 11.3% | (/.f64 (/.f64 #s(approx (- (* x x) (* x (* x (cos x)))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (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)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) (*.f64 x x)) | |
| 25.9% | (/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x) | |
| 49.3% | (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) | |
| 1.9% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) | |
| ✓ | 49.2% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) |
| 49.2% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 x))) x) | |
| 2.2% | (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))) | |
| 1.9% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))) | |
| ✓ | 12.2% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
| 2.7% | (/.f64 (-.f64 x (*.f64 (*.f64 x x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x (*.f64 x x))) | |
| 41.0% | (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) | |
| 28.2% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x)) | |
| ✓ | 48.4% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ✓ | 27.8% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| 12.2% | (/.f64 (*.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) x) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| 22.5% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (fma.f64 (neg.f64 x) (cos.f64 x) x))) (*.f64 x x)) | |
| 53.3% | (/.f64 #s(approx (/ (/ (* x (- x (* (neg x) (neg (cos x))))) x) (* x x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (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)))) x) | |
| 49.3% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) | |
| 11.6% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) x)) | |
| 3.0% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) | |
| ✓ | 48.5% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
| 71.9% | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) | |
| 48.4% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| ✓ | 71.9% | (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) |
| ✓ | 71.9% | (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
| 99.7% | (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x))) | |
| 71.3% | (*.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) | |
| 55.1% | (*.f64 (sin.f64 x) #s(approx (/ (tan (* x 1/2)) (* x x)) (/.f64 #s(literal 1/2 binary64) x))) | |
| 38.0% | (*.f64 x (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x (*.f64 x (*.f64 x x))))) | |
| 53.6% | #s(approx (/ (/ (/ (* x (- x (* (neg x) (neg (cos x))))) x) (* x x)) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) | |
| ✓ | 53.3% | #s(approx (/ (- (* x x) (* (* x (neg x)) (neg (cos x)))) (* x (* x (* x x)))) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
| ✓ | 53.3% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (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))) |
| ✓ | 54.3% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 1 739 to 591 computations (66% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* x x) (* (* x (neg x)) (neg (cos x)))) (* x (* x (* x x)))) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* x x) (* (* x (neg x)) (neg (cos x)))) (* x (* x (* x 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))) |
#s(approx (/ (/ (/ (* x (- x (* (neg x) (neg (cos x))))) x) (* x x)) x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (/ (* x (- x (* (neg x) (neg (cos x))))) x) (* x x)) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (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))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x)) |
(/.f64 (/.f64 #s(approx (/ (* x (- x (* (neg x) (neg (cos x))))) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x)) x) |
(/.f64 (-.f64 x (*.f64 (*.f64 x x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x (*.f64 x x))) |
(/.f64 #s(approx (- (* x x) (* (* x (neg x)) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 #s(approx (/ (/ (* x (- x (* (neg x) (neg (cos x))))) x) (* x x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (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)))) x) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x x)) (*.f64 x x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) x)) |
(/.f64 (/.f64 (/.f64 (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))) x) (*.f64 x x)) x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))) |
(/.f64 (/.f64 #s(approx (- (* x x) (* x (* x (cos x)))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (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)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(*.f64 (sin.f64 x) #s(approx (/ (tan (* x 1/2)) (* x x)) (/.f64 #s(literal 1/2 binary64) 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 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x)) |
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) |
(/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x (*.f64 x x))) |
(/.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 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) (*.f64 x x)) x) |
(/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 x (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(approx (- (* x x) (* (* x (neg x)) (neg (cos x)))) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) x) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) x)) (neg.f64 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) (*.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 x))) x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (fma.f64 x x (*.f64 (cos.f64 x) (neg.f64 (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (fma.f64 (neg.f64 x) (*.f64 x (cos.f64 x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (fma.f64 (neg.f64 x) (cos.f64 x) x))) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (fma.f64 (*.f64 x (neg.f64 (cos.f64 x))) x (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) x) x) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) x) (*.f64 x x)) x) |
(/.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 x)) x) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (sin.f64 x) (/.f64 (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 1/2 binary64)))) |
(*.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x) x) |
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x))) |
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 x x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (*.f64 x (neg.f64 x)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x))) |
2 calls:
| 18.0ms | x |
| 17.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* x x) (* (* x (neg x)) (neg (cos x)))) (* x (* x (* x x)))) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* x x) (* (* x (neg x)) (neg (cos x)))) (* x (* x (* x 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))) |
#s(approx (/ (/ (/ (* x (- x (* (neg x) (neg (cos x))))) x) (* x x)) x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (/ (* x (- x (* (neg x) (neg (cos x))))) x) (* x x)) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (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))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x)) |
(/.f64 (/.f64 #s(approx (/ (* x (- x (* (neg x) (neg (cos x))))) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x)) x) |
(/.f64 (-.f64 x (*.f64 (*.f64 x x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x (*.f64 x x))) |
(/.f64 #s(approx (- (* x x) (* (* x (neg x)) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 #s(approx (/ (/ (* x (- x (* (neg x) (neg (cos x))))) x) (* x x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (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)))) x) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x x)) (*.f64 x x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) x)) |
(/.f64 (/.f64 (/.f64 (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))) x) (*.f64 x x)) x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))) |
(/.f64 (/.f64 #s(approx (- (* x x) (* x (* x (cos x)))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (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)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(*.f64 (sin.f64 x) #s(approx (/ (tan (* x 1/2)) (* x x)) (/.f64 #s(literal 1/2 binary64) 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 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x)) |
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) |
(/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x (*.f64 x x))) |
(/.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 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) (*.f64 x x)) x) |
(/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 x (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(approx (- (* x x) (* (* x (neg x)) (neg (cos x)))) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) x) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) x)) (neg.f64 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) (*.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 x))) x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (fma.f64 x x (*.f64 (cos.f64 x) (neg.f64 (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (fma.f64 (neg.f64 x) (*.f64 x (cos.f64 x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (fma.f64 (neg.f64 x) (cos.f64 x) x))) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (fma.f64 (*.f64 x (neg.f64 (cos.f64 x))) x (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) x) x) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) x) (*.f64 x x)) x) |
(/.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 x)) x) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (sin.f64 x) (/.f64 (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 1/2 binary64)))) |
(*.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x) x) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x) x) |
2 calls:
| 19.0ms | x |
| 16.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 2 | x |
| 99.2% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* x x) (* (* x (neg x)) (neg (cos x)))) (* x (* x (* x x)))) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* x x) (* (* x (neg x)) (neg (cos x)))) (* x (* x (* x 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))) |
#s(approx (/ (/ (/ (* x (- x (* (neg x) (neg (cos x))))) x) (* x x)) x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (/ (* x (- x (* (neg x) (neg (cos x))))) x) (* x x)) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (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))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x)) |
(/.f64 (/.f64 #s(approx (/ (* x (- x (* (neg x) (neg (cos x))))) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x)) x) |
(/.f64 (-.f64 x (*.f64 (*.f64 x x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x (*.f64 x x))) |
(/.f64 #s(approx (- (* x x) (* (* x (neg x)) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 #s(approx (/ (/ (* x (- x (* (neg x) (neg (cos x))))) x) (* x x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (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)))) x) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x x)) (*.f64 x x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) x)) |
(/.f64 (/.f64 (/.f64 (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))) x) (*.f64 x x)) x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))) |
(/.f64 (/.f64 #s(approx (- (* x x) (* x (* x (cos x)))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (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)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(*.f64 (sin.f64 x) #s(approx (/ (tan (* x 1/2)) (* x x)) (/.f64 #s(literal 1/2 binary64) 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 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x)) |
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) |
(/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x (*.f64 x x))) |
(/.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 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) (*.f64 x x)) x) |
(/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 x (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(approx (- (* x x) (* (* x (neg x)) (neg (cos x)))) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) x) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) x)) (neg.f64 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) (*.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 x))) x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (fma.f64 x x (*.f64 (cos.f64 x) (neg.f64 (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (fma.f64 (neg.f64 x) (*.f64 x (cos.f64 x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (fma.f64 (neg.f64 x) (cos.f64 x) x))) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (fma.f64 (*.f64 x (neg.f64 (cos.f64 x))) x (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) x) x) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) x) (*.f64 x x)) x) |
(/.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 x)) x) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (sin.f64 x) (/.f64 (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 1/2 binary64)))) |
(*.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) |
1 calls:
| 22.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* x x) (* (* x (neg x)) (neg (cos x)))) (* x (* x (* x x)))) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* x x) (* (* x (neg x)) (neg (cos x)))) (* x (* x (* x 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))) |
#s(approx (/ (/ (/ (* x (- x (* (neg x) (neg (cos x))))) x) (* x x)) x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (/ (* x (- x (* (neg x) (neg (cos x))))) x) (* x x)) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (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))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x)) |
(/.f64 (/.f64 #s(approx (/ (* x (- x (* (neg x) (neg (cos x))))) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x)) x) |
(/.f64 (-.f64 x (*.f64 (*.f64 x x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x (*.f64 x x))) |
(/.f64 #s(approx (- (* x x) (* (* x (neg x)) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 #s(approx (/ (/ (* x (- x (* (neg x) (neg (cos x))))) x) (* x x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (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)))) x) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x x)) (*.f64 x x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) x)) |
(/.f64 (/.f64 (/.f64 (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))) x) (*.f64 x x)) x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))) |
(/.f64 (/.f64 #s(approx (- (* x x) (* x (* x (cos x)))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (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)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(*.f64 (sin.f64 x) #s(approx (/ (tan (* x 1/2)) (* x x)) (/.f64 #s(literal 1/2 binary64) 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 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x)) |
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) |
(/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x (*.f64 x x))) |
(/.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 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) (*.f64 x x)) x) |
(/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 x (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(approx (- (* x x) (* (* x (neg x)) (neg (cos x)))) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) x) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) x)) (neg.f64 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) (*.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 x))) x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (fma.f64 x x (*.f64 (cos.f64 x) (neg.f64 (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (fma.f64 (neg.f64 x) (*.f64 x (cos.f64 x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (fma.f64 (neg.f64 x) (cos.f64 x) x))) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (fma.f64 (*.f64 x (neg.f64 (cos.f64 x))) x (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) x) x) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) x) (*.f64 x x)) x) |
(/.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 x)) x) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
1 calls:
| 17.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* x x) (* (* x (neg x)) (neg (cos x)))) (* x (* x (* x x)))) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* x x) (* (* x (neg x)) (neg (cos x)))) (* x (* x (* x 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))) |
#s(approx (/ (/ (/ (* x (- x (* (neg x) (neg (cos x))))) x) (* x x)) x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (/ (* x (- x (* (neg x) (neg (cos x))))) x) (* x x)) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (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))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x)) |
(/.f64 (/.f64 #s(approx (/ (* x (- x (* (neg x) (neg (cos x))))) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x)) x) |
(/.f64 (-.f64 x (*.f64 (*.f64 x x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x (*.f64 x x))) |
(/.f64 #s(approx (- (* x x) (* (* x (neg x)) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 #s(approx (/ (/ (* x (- x (* (neg x) (neg (cos x))))) x) (* x x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (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)))) x) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x x)) (*.f64 x x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) x)) |
(/.f64 (/.f64 (/.f64 (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))) x) (*.f64 x x)) x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))) |
(/.f64 (/.f64 #s(approx (- (* x x) (* x (* x (cos x)))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (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)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(*.f64 (sin.f64 x) #s(approx (/ (tan (* x 1/2)) (* x x)) (/.f64 #s(literal 1/2 binary64) 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 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x)) |
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) |
(/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x (*.f64 x x))) |
(/.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 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) (*.f64 x x)) x) |
(/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
1 calls:
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* x x) (* (* x (neg x)) (neg (cos x)))) (* x (* x (* x x)))) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* x x) (* (* x (neg x)) (neg (cos x)))) (* x (* x (* x 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))) |
#s(approx (/ (/ (/ (* x (- x (* (neg x) (neg (cos x))))) x) (* x x)) x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (/ (* x (- x (* (neg x) (neg (cos x))))) x) (* x x)) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (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))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x)) |
(/.f64 (/.f64 #s(approx (/ (* x (- x (* (neg x) (neg (cos x))))) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x)) x) |
(/.f64 (-.f64 x (*.f64 (*.f64 x x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x (*.f64 x x))) |
(/.f64 #s(approx (- (* x x) (* (* x (neg x)) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 #s(approx (/ (/ (* x (- x (* (neg x) (neg (cos x))))) x) (* x x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (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)))) x) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x x)) (*.f64 x x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) x)) |
(/.f64 (/.f64 (/.f64 (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))) x) (*.f64 x x)) x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))) |
(/.f64 (/.f64 #s(approx (- (* x x) (* x (* x (cos x)))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (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)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(*.f64 (sin.f64 x) #s(approx (/ (tan (* x 1/2)) (* x x)) (/.f64 #s(literal 1/2 binary64) 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 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
1 calls:
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* x x) (* (* x (neg x)) (neg (cos x)))) (* x (* x (* x x)))) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* x x) (* (* x (neg x)) (neg (cos x)))) (* x (* x (* x 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))) |
#s(approx (/ (/ (/ (* x (- x (* (neg x) (neg (cos x))))) x) (* x x)) x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (/ (* x (- x (* (neg x) (neg (cos x))))) x) (* x x)) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (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))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x)) |
(/.f64 (/.f64 #s(approx (/ (* x (- x (* (neg x) (neg (cos x))))) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x)) x) |
(/.f64 (-.f64 x (*.f64 (*.f64 x x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x (*.f64 x x))) |
(/.f64 #s(approx (- (* x x) (* (* x (neg x)) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 #s(approx (/ (/ (* x (- x (* (neg x) (neg (cos x))))) x) (* x x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (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)))) x) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x x)) (*.f64 x x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) x)) |
(/.f64 (/.f64 (/.f64 (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))) x) (*.f64 x x)) x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))) |
(/.f64 (/.f64 #s(approx (- (* x x) (* x (* x (cos x)))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (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)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(*.f64 (sin.f64 x) #s(approx (/ (tan (* x 1/2)) (* x x)) (/.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* x x) (* (* x (neg x)) (neg (cos x)))) (* x (* x (* x x)))) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* x x) (* (* x (neg x)) (neg (cos x)))) (* x (* x (* x 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))) |
#s(approx (/ (/ (/ (* x (- x (* (neg x) (neg (cos x))))) x) (* x x)) x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (/ (* x (- x (* (neg x) (neg (cos x))))) x) (* x x)) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (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))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x)) |
(/.f64 (/.f64 #s(approx (/ (* x (- x (* (neg x) (neg (cos x))))) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x)) x) |
(/.f64 (-.f64 x (*.f64 (*.f64 x x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x (*.f64 x x))) |
(/.f64 #s(approx (- (* x x) (* (* x (neg x)) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 #s(approx (/ (/ (* x (- x (* (neg x) (neg (cos x))))) x) (* x x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (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)))) x) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x x)) (*.f64 x x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) x)) |
(/.f64 (/.f64 (/.f64 (*.f64 x #s(approx (- x (* (neg x) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))) x) (*.f64 x x)) x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))) |
(/.f64 (/.f64 #s(approx (- (* x x) (* x (* x (cos x)))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (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)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(*.f64 (sin.f64 x) #s(approx (/ (tan (* x 1/2)) (* x x)) (/.f64 #s(literal 1/2 binary64) x))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (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))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
2 calls:
| 7.0ms | x |
| 7.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.0% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 80.2% | 2 | x |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* x x) (* (* x (neg x)) (neg (cos x)))) (* x (* x (* x x)))) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* x x) (* (* x (neg x)) (neg (cos x)))) (* x (* x (* x 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))) |
#s(approx (/ (/ (/ (* x (- x (* (neg x) (neg (cos x))))) x) (* x x)) x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (/ (* x (- x (* (neg x) (neg (cos x))))) x) (* x x)) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (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))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x)) |
(/.f64 (/.f64 #s(approx (/ (* x (- x (* (neg x) (neg (cos x))))) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x)) x) |
(/.f64 (-.f64 x (*.f64 (*.f64 x x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x (*.f64 x x))) |
(/.f64 #s(approx (- (* x x) (* (* x (neg x)) (neg (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x)) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.9% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* x x) (* (* x (neg x)) (neg (cos x)))) (* x (* x (* x x)))) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* x x) (* (* x (neg x)) (neg (cos x)))) (* x (* x (* x 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))) |
#s(approx (/ (/ (/ (* x (- x (* (neg x) (neg (cos x))))) x) (* x x)) x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (/ (* x (- x (* (neg x) (neg (cos x))))) x) (* x x)) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (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))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.8% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* x x) (* (* x (neg x)) (neg (cos x)))) (* x (* x (* x x)))) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.7% | 2 | x |
Compiled 2 to 1 computations (50% saved)
Total -0.7b remaining (-2.5%)
Threshold costs -0.7b (-2.5%)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* x x) (* (* x (neg x)) (neg (cos x)))) (* x (* x (* x x)))) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
2 calls:
| 2.0ms | x |
| 1.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.3% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 54.3% | 1 | x |
Compiled 11 to 7 computations (36.4% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 2.432604677961805e-7 | 1.4403017513265694e-6 |
| 3.0ms | 16× | 1 | valid |
Compiled 34 to 25 computations (26.5% saved)
ival-cos: 2.0ms (67.9% of total)adjust: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 1.4403017513265694e-6 | 1.1399423248969764 |
| 1.0ms | 32× | 0 | valid |
Compiled 56 to 40 computations (28.6% saved)
ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-cos: 0.0ms (0% of total)ival-mult: 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 |
|---|---|---|
| 11.0ms | 1.4403017513265694e-6 | 1.1399423248969764 |
| 6.0ms | 128× | 0 | valid |
Compiled 201 to 136 computations (32.3% saved)
ival-sub: 1.0ms (27.7% of total)ival-div: 1.0ms (27.7% of total)ival-cos: 1.0ms (27.7% of total)ival-mult: 1.0ms (27.7% 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 |
|---|---|---|
| 1.0ms | 1.4403017513265694e-6 | 1.1399423248969764 |
Compiled 183 to 127 computations (30.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.4403017513265694e-6 | 1.1399423248969764 |
Compiled 201 to 136 computations (32.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.4403017513265694e-6 | 1.1399423248969764 |
Compiled 183 to 127 computations (30.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 1.8872480286549613 | 27086831.900636572 |
| 12.0ms | 144× | 0 | valid |
Compiled 327 to 190 computations (41.9% saved)
ival-cos: 6.0ms (67.8% of total)ival-sub: 1.0ms (11.3% of total)ival-div: 1.0ms (11.3% of total)ival-mult: 1.0ms (11.3% 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 |
|---|---|---|
| 16.0ms | 4.401904679599508e+37 | 6.019810419677402e+40 |
| 9.0ms | 128× | 0 | valid |
Compiled 236 to 138 computations (41.5% saved)
ival-cos: 4.0ms (61% of total)ival-sub: 1.0ms (15.3% of total)ival-div: 1.0ms (15.3% of total)ival-mult: 1.0ms (15.3% 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 |
|---|---|---|
| 1.0ms | 4.401904679599508e+37 | 6.019810419677402e+40 |
Compiled 204 to 122 computations (40.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 2.2328041864970172e+76 | 1.57822273678516e+78 |
| 12.0ms | 112× | 0 | valid |
Compiled 110 to 73 computations (33.6% saved)
ival-cos: 7.0ms (73.3% of total)ival-sub: 1.0ms (10.5% of total)ival-div: 1.0ms (10.5% of total)ival-mult: 1.0ms (10.5% 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 |
| 32× | *-commutative_binary64 |
| 22× | +-commutative_binary64 |
| 20× | sub-neg_binary64 |
| 14× | neg-sub0_binary64 |
| 14× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 336 |
| 1 | 106 | 336 |
| 2 | 128 | 336 |
| 3 | 143 | 336 |
| 4 | 150 | 336 |
| 5 | 151 | 336 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x))) |
(if (<=.f64 x #s(literal 944473296573929/2361183241434822606848 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x) x)) |
(if (<=.f64 x #s(literal 4722366482869645/2361183241434822606848 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)))) |
(if (<=.f64 x #s(literal 1498797955988901/288230376151711744 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(if (<=.f64 x #s(literal 1498797955988901/288230376151711744 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) |
(if (<=.f64 x #s(literal 1498797955988901/288230376151711744 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(if (<=.f64 x #s(literal 1498797955988901/288230376151711744 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
(if (<=.f64 x #s(literal 2589569785738035/562949953421312 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (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))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x))))) |
(if (<=.f64 x #s(literal 659999999999999981364251648514108424192 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x))) |
(if (<=.f64 x #s(literal 659999999999999981364251648514108424192 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(if (<=.f64 x #s(literal 59999999999999996395855892718367073181509239082549374496860282078218155982848 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x))) |
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))) |
(if (<=.f64 x #s(literal 944473296573929/2361183241434822606848 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x) x)) |
(if (<=.f64 x #s(literal 4722366482869645/2361183241434822606848 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)))) |
(if (<=.f64 x #s(literal 1498797955988901/288230376151711744 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(if (<=.f64 x #s(literal 1498797955988901/288230376151711744 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) |
(if (<=.f64 x #s(literal 1498797955988901/288230376151711744 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(if (<=.f64 x #s(literal 1498797955988901/288230376151711744 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
(if (<=.f64 x #s(literal 2589569785738035/562949953421312 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (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))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x))))) |
(if (<=.f64 x #s(literal 2589569785738035/562949953421312 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (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))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x (neg.f64 x))))) |
(if (<=.f64 x #s(literal 659999999999999981364251648514108424192 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x))) |
(if (<=.f64 x #s(literal 659999999999999981364251648514108424192 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(if (<=.f64 x #s(literal 59999999999999996395855892718367073181509239082549374496860282078218155982848 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
| 16 752× | lower-fma.f64 |
| 16 752× | lower-fma.f32 |
| 5 396× | lower-/.f32 |
| 5 374× | lower-/.f64 |
| 5 230× | lower-*.f32 |
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 |
| 0 | 39 | 180 |
| 0 | 65 | 171 |
| 1 | 249 | 144 |
| 0 | 1776 | 144 |
| 0 | 36 | 172 |
| 0 | 62 | 154 |
| 1 | 254 | 148 |
| 2 | 2035 | 148 |
| 0 | 9076 | 148 |
| 0 | 6 | 17 |
| 0 | 10 | 17 |
| 1 | 40 | 17 |
| 2 | 268 | 17 |
| 3 | 2810 | 17 |
| 0 | 9656 | 17 |
| 0 | 35 | 238 |
| 0 | 61 | 197 |
| 1 | 243 | 184 |
| 2 | 1948 | 184 |
| 0 | 8307 | 184 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 705 to 313 computations (55.6% saved)
Compiled 592 to 208 computations (64.9% saved)
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