
Time bar (total: 10.4s)
| 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)
| 821.0ms | 4 185× | 0 | valid |
| 809.0ms | 2 233× | 2 | valid |
| 243.0ms | 1 270× | 1 | valid |
| 211.0ms | 568× | 3 | valid |
ival-cos: 1.2s (72.9% of total)ival-sub: 185.0ms (11.2% of total)ival-div: 109.0ms (6.6% of total)adjust: 86.0ms (5.2% of total)ival-mult: 54.0ms (3.3% of total)ival-true: 6.0ms (0.4% of total)exact: 5.0ms (0.3% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 68 | 1 | (-2.0699387396910448e+161) | 1 | (2.0405903028727827e-155) | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 65 | 2 | (4.195864360231981e+179) | 1 | (-1.5315613377490158e+155) | (-.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 #s(literal 1 binary64) (cos.f64 x)) | cancellation | 66 | 2 |
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | u/u | 64 | 0 |
| ↳ | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | underflow | 64 | |
| ↳ | (*.f64 x x) | underflow | 64 | |
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | n/o | 4 | 0 |
| ↳ | (*.f64 x x) | overflow | 62 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 127 | 0 |
| - | 7 | 122 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 127 | 0 | 0 |
| - | 7 | 1 | 121 |
| number | freq |
|---|---|
| 0 | 122 |
| 1 | 134 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 55.0ms | 280× | 0 | valid |
| 40.0ms | 142× | 2 | valid |
| 8.0ms | 66× | 1 | valid |
| 8.0ms | 24× | 3 | valid |
Compiled 51 to 22 computations (56.9% saved)
ival-cos: 41.0ms (62.8% of total)ival-sub: 9.0ms (13.8% of total)ival-div: 5.0ms (7.7% of total)adjust: 5.0ms (7.7% of total)ival-mult: 4.0ms (6.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 204× | lower-fma.f64 |
| 204× | lower-fma.f32 |
| 162× | times-frac |
| 142× | times-frac |
| 136× | 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)
Compiled 9 to 6 computations (33.3% saved)
Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.1% | (/.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)) |
| 204× | lower-fma.f64 |
| 204× | lower-fma.f32 |
| 142× | times-frac |
| 136× | lower-*.f32 |
| 135× | 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 | 0 | (*.f64 x x) | |
| accuracy | 0 | (cos.f64 x) | |
| accuracy | 12.959075987135733 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| accuracy | 15.82288766593258 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 25.0ms | 71× | 2 | valid |
| 11.0ms | 140× | 0 | valid |
| 8.0ms | 12× | 3 | valid |
| 3.0ms | 33× | 1 | valid |
Compiled 21 to 8 computations (61.9% saved)
ival-cos: 20.0ms (56.4% of total)adjust: 7.0ms (19.8% of total)ival-sub: 4.0ms (11.3% of total)ival-div: 3.0ms (8.5% of total)ival-mult: 2.0ms (5.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ()) |
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/ (- 1 (cos x)) (* x x)) |
| 0.0ms | x | @ | inf | (* x x) |
| 0.0ms | x | @ | 0 | (/ (- 1 (cos x)) (* x x)) |
| 0.0ms | x | @ | -inf | (/ (- 1 (cos x)) (* x x)) |
| 0.0ms | x | @ | 0 | (cos x) |
| 1× | egg-herbie |
| 8 376× | lower-fma.f64 |
| 8 376× | lower-fma.f32 |
| 1 948× | lower-*.f64 |
| 1 948× | lower-*.f32 |
| 784× | 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 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #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 (*.f64 x #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x 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 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #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) |
| 2 368× | lower-/.f32 |
| 2 367× | lower-/.f64 |
| 1 990× | lower-fma.f64 |
| 1 990× | lower-fma.f32 |
| 1 532× | 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 |
|---|
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (+.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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 x x) x) x))) #s(literal -1 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(*.f64 (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) 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) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))) |
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 x x)) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) x) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) x) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x)) (/.f64 #s(literal -1 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 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.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) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.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)))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))) |
(*.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)) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
(pow.f64 (exp.f64 (log.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) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 x x) x) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #s(literal 1 binary64)) |
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(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (pow.f64 (*.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 (*.f64 (*.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) #s(literal 1 binary64)))))) |
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(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (cos.f64 x) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))))) (/.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))))))) (/.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)))))))) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #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 (cos.f64 x) #s(literal 9 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)))) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(-.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (neg.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))))) |
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x))) |
(*.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 x)) |
(pow.f64 (cos.f64 x) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 (cos.f64 x))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))) |
(cos.f64 x) |
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (cos.f64 x))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 x)) x) |
(*.f64 (*.f64 #s(literal 1 binary64) x) x) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64))) |
(*.f64 x (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 x (/.f64 x #s(literal 1 binary64))) |
(*.f64 x (neg.f64 (neg.f64 x))) |
(*.f64 x x) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) |
(/.f64 (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 x (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
Compiled 15 767 to 1 640 computations (89.6% saved)
25 alts after pruning (24 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 653 | 24 | 677 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 653 | 25 | 678 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.9% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
| 54.0% | (fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) | |
| 30.0% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) | |
| 55.2% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| 55.0% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) | |
| 18.9% | (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) | |
| 24.0% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) x)) | |
| 47.1% | (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 (*.f64 x x) x)) | |
| ✓ | 54.1% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 3.0% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) (*.f64 x x)) | |
| 26.0% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| 19.0% | (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)) | |
| 74.4% | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) | |
| 54.8% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) | |
| 54.0% | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) | |
| ▶ | 54.0% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
| 54.2% | (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (cos.f64 x)))) | |
| 55.1% | (*.f64 (pow.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) | |
| 55.2% | (*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) | |
| ▶ | 75.1% | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
| ▶ | 54.0% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
| 47.6% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) | |
| 48.2% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) | |
| 47.5% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64))) | |
| ▶ | 48.6% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 635 to 372 computations (41.4% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 (cos.f64 x)) | |
| cost-diff | 0 | (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 1728 | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.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 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| cost-diff | 0 | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) | |
| 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)))) | |
| cost-diff | 384 | (/.f64 x #s(literal 2 binary64)) |
| 412× | lower-fma.f32 |
| 411× | lower-fma.f64 |
| 355× | times-frac |
| 344× | lower-*.f32 |
| 341× | lower-*.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 132 |
| 0 | 41 | 126 |
| 1 | 70 | 120 |
| 2 | 124 | 120 |
| 3 | 226 | 120 |
| 4 | 386 | 120 |
| 5 | 554 | 120 |
| 6 | 752 | 120 |
| 7 | 902 | 120 |
| 8 | 1233 | 120 |
| 9 | 1688 | 120 |
| 10 | 2161 | 120 |
| 11 | 2387 | 120 |
| 12 | 2590 | 120 |
| 13 | 2677 | 120 |
| 14 | 2693 | 120 |
| 15 | 2693 | 120 |
| 16 | 2693 | 120 |
| 0 | 2693 | 120 |
| 1× | iter limit |
| 1× | saturated |
| 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) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
x |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(-.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) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (cos.f64 x)) |
(cos.f64 x) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (*.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))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(/.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 2 binary64) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 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 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x 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) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) |
(neg.f64 (cos.f64 x)) |
(cos.f64 x) |
(*.f64 x x) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 (cos.f64 x)) | |
| accuracy | 0 | (cos.f64 x) | |
| accuracy | 0.4215138907778164 | (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) | |
| accuracy | 29.236362970055875 | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) | |
| accuracy | 0 | (cos.f64 x) | |
| accuracy | 0.4215138907778164 | (/.f64 (cos.f64 x) (*.f64 x x)) | |
| accuracy | 0.4264418816894385 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) | |
| accuracy | 28.621267849513323 | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| accuracy | 0 | (cos.f64 x) | |
| accuracy | 0.4264418816894385 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) | |
| accuracy | 12.959075987135733 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| accuracy | 16.141163945638667 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| accuracy | 32.89278526608715 | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) | |
| accuracy | 0 | (tan.f64 (/.f64 x #s(literal 2 binary64))) | |
| accuracy | 0 | (sin.f64 x) | |
| accuracy | 0.15625 | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) | |
| accuracy | 15.389418199985 | (/.f64 (sin.f64 x) (*.f64 x x)) |
| 93.0ms | 117× | 1 | valid |
| 39.0ms | 139× | 0 | valid |
Compiled 133 to 24 computations (82% saved)
ival-cos: 20.0ms (25.1% of total)ival-div: 18.0ms (22.6% of total)ival-mult: 13.0ms (16.3% of total)ival-sub: 6.0ms (7.5% of total)ival-add: 6.0ms (7.5% of total)ival-sin: 6.0ms (7.5% of total)ival-tan: 5.0ms (6.3% of total)adjust: 4.0ms (5% of total)ival-neg: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (patch #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (cos.f64 x) (*.f64 x x)) (patch (/.f64 (cos.f64 x) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ()) |
#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1/2 (taylor 0 x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1/6 (pow x 2))) x) (taylor 0 x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x) (taylor 0 x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x) (taylor 0 x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin x) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin x) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin x) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin x) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin x) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin x) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin x) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (cos x) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (cos.f64 x) (*.f64 x x)) (patch (/.f64 (cos.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos x) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (cos.f64 x) (*.f64 x x)) (patch (/.f64 (cos.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos x) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (cos.f64 x) (*.f64 x x)) (patch (/.f64 (cos.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos x) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (cos.f64 x) (*.f64 x x)) (patch (/.f64 (cos.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos x) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (cos.f64 x) (*.f64 x x)) (patch (/.f64 (cos.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt 1/2 (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 1/2 (pow x 2)) 1) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos x) (pow x 2))) (taylor inf x) (#s(alt (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos x) (pow x 2))) (taylor inf x) (#s(alt (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos x) (pow x 2))) (taylor inf x) (#s(alt (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos x) (pow x 2))) (taylor inf x) (#s(alt (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos x) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos x) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos x) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos x) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (pow x 2)) 1) (taylor 0 x) (#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (taylor 0 x) (#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (taylor 0 x) (#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (cos x)) (taylor inf x) (#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (cos x)) (taylor inf x) (#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (cos x)) (taylor inf x) (#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (cos x)) (taylor inf x) (#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (cos x)) (taylor -inf x) (#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (cos x)) (taylor -inf x) (#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (cos x)) (taylor -inf x) (#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (cos x)) (taylor -inf x) (#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (* 1/24 (pow x 2)))) (taylor 0 x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) (taylor 0 x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) (taylor 0 x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (- (/ 1 (* x x)) (/ (cos x) (* x x))) |
| 1.0ms | x | @ | -inf | (* (/ (sin x) (* x x)) (tan (/ x 2))) |
| 1.0ms | x | @ | inf | (* (/ (sin x) (* x x)) (tan (/ x 2))) |
| 1.0ms | x | @ | 0 | (* (/ (sin x) (* x x)) (tan (/ x 2))) |
| 0.0ms | x | @ | 0 | (/ x 2) |
| 1× | egg-herbie |
| 10 129× | lower-fma.f64 |
| 10 129× | lower-fma.f32 |
| 2 233× | lower-+.f64 |
| 2 233× | lower-+.f32 |
| 1 869× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 107 | 1454 |
| 1 | 270 | 1454 |
| 2 | 701 | 1440 |
| 3 | 2127 | 1436 |
| 4 | 4085 | 1436 |
| 5 | 7152 | 1432 |
| 0 | 8083 | 1358 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
1/2 |
(+ 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) |
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 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (- 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 (* -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 (* -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 (* -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 (pow x 2)) |
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2)) |
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2)) |
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (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))) |
-1 |
(- (* 1/2 (pow x 2)) 1) |
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) |
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) |
(* -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 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
| Outputs |
|---|
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1/6 (pow x 2))) x) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)) (*.f64 x x) #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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x #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)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) 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) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #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 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #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)) |
(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 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x 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 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #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 (* -1/2 (pow x 2))) (pow x 2)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #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 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #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 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(/ (+ 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 (* -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 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2)) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2)) |
(-.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2)) |
(-.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(* -1 (/ (cos x) (pow x 2))) |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (cos x) (pow x 2))) |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (cos x) (pow x 2))) |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (cos x) (pow x 2))) |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (cos x) (pow x 2))) |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (cos x) (pow x 2))) |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (cos x) (pow x 2))) |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (cos x) (pow x 2))) |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 (pow x 2)) 1) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x #s(literal -1 binary64)) |
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) |
(* -1 (cos x)) |
(neg.f64 (cos.f64 x)) |
(* -1 (cos x)) |
(neg.f64 (cos.f64 x)) |
(* -1 (cos x)) |
(neg.f64 (cos.f64 x)) |
(* -1 (cos x)) |
(neg.f64 (cos.f64 x)) |
(* -1 (cos x)) |
(neg.f64 (cos.f64 x)) |
(* -1 (cos x)) |
(neg.f64 (cos.f64 x)) |
(* -1 (cos x)) |
(neg.f64 (cos.f64 x)) |
(* -1 (cos x)) |
(neg.f64 (cos.f64 x)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/240 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #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) |
| 2 981× | lower-fma.f32 |
| 2 980× | lower-fma.f64 |
| 1 899× | lower-/.f32 |
| 1 893× | lower-/.f64 |
| 1 523× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 105 |
| 0 | 41 | 93 |
| 1 | 151 | 91 |
| 2 | 1580 | 91 |
| 0 | 8834 | 91 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x #s(literal 2 binary64)) |
(*.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) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (cos.f64 x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(cos.f64 x) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 x) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 x #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 x) #s(literal -2 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 x #s(literal 2 binary64)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(neg.f64 (*.f64 x #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) x))) |
(*.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -1/2 binary64)))) (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (/.f64 (sin.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) (/.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 (neg.f64 x) x)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x)))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 (*.f64 x #s(literal -1/2 binary64)))))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 (*.f64 x #s(literal -1/2 binary64)))))) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (cos.f64 (*.f64 x #s(literal -1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) |
(*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 (/.f64 x (sin.f64 x)) x)))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (cos.f64 (*.f64 x #s(literal -1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (*.f64 x x)))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(pow.f64 (/.f64 (*.f64 x x) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x)) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.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) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x))) (neg.f64 (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) x))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x)))) (neg.f64 (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 (neg.f64 x) x)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (*.f64 x (cos.f64 (*.f64 x #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 (*.f64 x #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x)))) |
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (*.f64 x x))) (cos.f64 (*.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) |
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) x) |
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(-.f64 (/.f64 x (*.f64 (*.f64 x x) x)) (/.f64 (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) x)) (*.f64 (*.f64 x x) x))) |
(-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) x) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (+.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (/.f64 (pow.f64 (*.f64 (/.f64 x (cos.f64 x)) x) #s(literal -3 binary64)) (+.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 x x))) |
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.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 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 (cos.f64 x) (*.f64 (*.f64 x x) x)) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) x) (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))))) |
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (+.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x (cos.f64 x)) x) #s(literal -3 binary64)) (+.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))))) |
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (*.f64 (/.f64 (cos.f64 x) (*.f64 (*.f64 x x) x)) x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 x x) #s(literal -1/4 binary64)) (pow.f64 (*.f64 x x) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(pow.f64 x #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) x) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (neg.f64 (log.f64 x))) |
(*.f64 (pow.f64 (*.f64 (/.f64 x (cos.f64 x)) (neg.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 x (cos.f64 x)) (neg.f64 x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (cos.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.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)) (cos.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) x)) |
(*.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (*.f64 x x))) |
(*.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 (cos.f64 x) (*.f64 x x)) #s(literal -1 binary64)) |
(*.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (cos.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
(pow.f64 (*.f64 (/.f64 x (cos.f64 x)) (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (cos.f64 x))) |
(/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) |
(/.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x) |
(/.f64 (pow.f64 (*.f64 (/.f64 x (cos.f64 x)) x) #s(literal -3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (cos.f64 x)) x)) |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 x) (cos.f64 x))) |
(/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (cos.f64 x)) (neg.f64 x))) |
(neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))) |
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (*.f64 x x))) |
(+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (cos.f64 x)) (neg.f64 x))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 0 binary64)))) |
(*.f64 #s(literal -1 binary64) (cos.f64 x)) |
(*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) |
(*.f64 (cos.f64 x) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (cos.f64 x)) |
(/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x)))))) |
(/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 0 binary64))) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (cos.f64 x))) |
(/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 0 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) |
(neg.f64 (cos.f64 x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 0 binary64))) (cos.f64 x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (cos.f64 x)) (cos.f64 x)) |
(-.f64 #s(literal 0 binary64) (cos.f64 x)) |
(+.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))) |
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64)))))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 x #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 x #s(literal -1/2 binary64))))) |
(neg.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64)))))) |
(neg.f64 (tan.f64 (*.f64 x #s(literal -1/2 binary64)))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x))) |
(*.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) |
(*.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x)))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (cos.f64 x))) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (cos.f64 x)) |
(/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 0 binary64))) |
(neg.f64 (neg.f64 (cos.f64 x))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))) |
(cos.f64 x) |
(+.f64 #s(literal 0 binary64) (cos.f64 x)) |
Compiled 36 153 to 2 033 computations (94.4% saved)
32 alts after pruning (27 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 815 | 17 | 1 832 |
| Fresh | 9 | 10 | 19 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 825 | 32 | 1 857 |
| Status | Accuracy | Program |
|---|---|---|
| 54.6% | (fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) | |
| 47.5% | (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) | |
| ✓ | 53.9% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
| ▶ | 26.7% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x))) |
| 54.4% | (/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x)) | |
| 47.1% | (/.f64 (fma.f64 (neg.f64 (cos.f64 x)) x x) (*.f64 (*.f64 x x) x)) | |
| 30.0% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) | |
| 55.2% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| 55.0% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) (neg.f64 x))) (neg.f64 x)) | |
| ▶ | 18.9% | (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) |
| 47.1% | (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 (*.f64 x x) x)) | |
| ✓ | 54.1% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 3.0% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) (*.f64 x x)) | |
| 26.0% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| 54.1% | (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) | |
| ▶ | 74.4% | (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) |
| ▶ | 54.8% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
| 54.0% | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) | |
| 54.0% | (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| ✓ | 54.0% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
| 54.2% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (cos.f64 x))) | |
| 47.0% | (*.f64 (fma.f64 (neg.f64 (cos.f64 x)) x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) | |
| 54.3% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| ✓ | 54.0% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
| 22.0% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) | |
| 47.0% | (*.f64 (-.f64 x (*.f64 x (cos.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) | |
| 53.9% | (*.f64 (*.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| 47.9% | (*.f64 #s(approx (/ (sin x) (* x x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) | |
| 47.6% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) | |
| 48.2% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) | |
| ▶ | 47.5% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
| ✓ | 48.6% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 811 to 466 computations (42.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x (*.f64 x (cos.f64 x))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 320 | (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) | |
| cost-diff | 1280 | (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| cost-diff | 0 | (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| cost-diff | 0 | (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) | |
| cost-diff | 0 | #s(approx (neg (cos x)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 576 | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #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) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) | |
| cost-diff | 0 | (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) | |
| cost-diff | 0 | (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) |
| 2 186× | lower-*.f32 |
| 2 178× | lower-*.f64 |
| 2 174× | lower-fma.f32 |
| 2 172× | lower-fma.f64 |
| 1 369× | lower-neg.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 186 |
| 0 | 56 | 176 |
| 1 | 108 | 171 |
| 2 | 222 | 169 |
| 3 | 636 | 165 |
| 4 | 1512 | 165 |
| 5 | 2862 | 165 |
| 6 | 4723 | 165 |
| 0 | 8558 | 165 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(sin.f64 x) |
(*.f64 x x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x 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)) |
(*.f64 x x) |
x |
#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 (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)) |
#s(approx (neg (cos x)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) |
(/.f64 x (-.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 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) 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) |
(*.f64 (*.f64 (*.f64 x x) x) x) |
(*.f64 (*.f64 x x) x) |
| Outputs |
|---|
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
(sin.f64 x) |
(*.f64 x x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#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 (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)) |
#s(approx (neg (cos x)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) |
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 x (-.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 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 x (*.f64 x (cos.f64 x))) |
(*.f64 (*.f64 (cos.f64 x) x) x) |
(*.f64 x (cos.f64 x)) |
(*.f64 (cos.f64 x) x) |
(cos.f64 x) |
(*.f64 (*.f64 (*.f64 x x) x) x) |
(*.f64 (*.f64 x x) x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.11328125 | (*.f64 x (*.f64 x (cos.f64 x))) | |
| accuracy | 0.125 | (*.f64 x (cos.f64 x)) | |
| accuracy | 11.071217007049416 | (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) | |
| accuracy | 45.52106216032432 | (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) | |
| accuracy | 0.14453125 | (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) | |
| accuracy | 0.3115984425072816 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) | |
| accuracy | 12.959075987135733 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| accuracy | 15.188657951463119 | (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.4215138907778164 | (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)) | |
| accuracy | 29.236362970055875 | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x))) | |
| accuracy | 30.480009006811205 | #s(approx (neg (cos x)) #s(literal -1 binary64)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.11328125 | (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 33.62017600615134 | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) | |
| accuracy | 0 | (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) | |
| accuracy | 0 | (sin.f64 x) | |
| accuracy | 0.17578125 | (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) | |
| accuracy | 15.82288766593258 | (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) |
| 68.0ms | 71× | 2 | valid |
| 49.0ms | 139× | 0 | valid |
| 31.0ms | 12× | 3 | valid |
| 14.0ms | 34× | 1 | valid |
Compiled 177 to 32 computations (81.9% saved)
ival-cos: 31.0ms (28.7% of total)ival-mult: 24.0ms (22.3% of total)ival-div: 20.0ms (18.5% of total)adjust: 9.0ms (8.3% of total)ival-tan: 6.0ms (5.6% of total)ival-sin: 5.0ms (4.6% of total)ival-sub: 4.0ms (3.7% of total)const: 4.0ms (3.7% of total)ival-add: 3.0ms (2.8% of total)ival-neg: 2.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) (patch (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (patch (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #<representation binary64>) () ()) |
#s(alt (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (patch #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)) (patch (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt #s(approx (neg (cos x)) #s(literal -1 binary64)) (patch #s(approx (neg (cos x)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) (patch (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #<representation binary64>) () ()) |
#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) (patch (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (patch (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x (cos.f64 x))) (patch (*.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ()) |
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ()) |
#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) (patch (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) (patch (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) (patch (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) (patch (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) (patch (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) (patch (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) (patch (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) (patch (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) (patch (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) (patch (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) (patch (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) (patch (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (patch (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (patch (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (patch (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) (taylor 0 x) (#s(alt (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (patch (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) (patch (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) (patch (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) (patch (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) (patch (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) (patch (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) (patch (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) (patch (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) (patch (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) (patch (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) (patch (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) (patch (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) (patch (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 4)) (taylor 0 x) (#s(alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (patch (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (patch (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (patch (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) (taylor 0 x) (#s(alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (patch (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (cos x))) (taylor inf x) (#s(alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (patch (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (cos x))) (taylor inf x) (#s(alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (patch (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (cos x))) (taylor inf x) (#s(alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (patch (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (cos x))) (taylor inf x) (#s(alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (patch (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (cos x))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (patch (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (cos x))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (patch (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (cos x))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (patch (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (cos x))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (patch (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x (cos.f64 x))) (patch (*.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1/2 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x (cos.f64 x))) (patch (*.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x (cos.f64 x))) (patch (*.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x (cos.f64 x))) (patch (*.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (cos x)) (taylor inf x) (#s(alt (*.f64 x (*.f64 x (cos.f64 x))) (patch (*.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (cos x)) (taylor inf x) (#s(alt (*.f64 x (*.f64 x (cos.f64 x))) (patch (*.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (cos x)) (taylor inf x) (#s(alt (*.f64 x (*.f64 x (cos.f64 x))) (patch (*.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (cos x)) (taylor inf x) (#s(alt (*.f64 x (*.f64 x (cos.f64 x))) (patch (*.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (cos x)) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x (cos.f64 x))) (patch (*.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (cos x)) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x (cos.f64 x))) (patch (*.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (cos x)) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x (cos.f64 x))) (patch (*.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (cos x)) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x (cos.f64 x))) (patch (*.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/2 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (taylor 0 x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) (taylor 0 x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos x)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos x)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos x)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos x)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos x)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos x)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos x)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos x)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ()) |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/ (- (* x x) (* x (* x (cos x)))) (* (* (* x x) x) x)) |
| 1.0ms | x | @ | -inf | (/ x (- 1 (cos x))) |
| 1.0ms | x | @ | -inf | (/ (- (* x x) (* x (* x (cos x)))) (* (* (* x x) x) x)) |
| 1.0ms | x | @ | -inf | (* (/ x (- 1 (cos x))) x) |
| 0.0ms | x | @ | inf | (* (/ x (- 1 (cos x))) x) |
| 1× | egg-herbie |
| 7 743× | lower-fma.f64 |
| 7 743× | lower-fma.f32 |
| 2 215× | lower-*.f64 |
| 2 215× | lower-*.f32 |
| 1 847× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 137 | 1864 |
| 1 | 387 | 1864 |
| 2 | 988 | 1836 |
| 3 | 3180 | 1834 |
| 4 | 6075 | 1834 |
| 5 | 7252 | 1834 |
| 0 | 8018 | 1732 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(* 1/2 (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)))) |
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) |
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) |
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) |
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) |
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) |
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) |
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) |
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
1/2 |
(+ 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 (* -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 (* -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 (pow x 2)) |
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2)) |
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2)) |
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (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))) |
-1 |
(- (* 1/2 (pow x 2)) 1) |
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) |
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) |
(* -1 (cos x)) |
(* -1 (cos x)) |
(* -1 (cos x)) |
(* -1 (cos x)) |
(* -1 (cos x)) |
(* -1 (cos x)) |
(* -1 (cos x)) |
(* -1 (cos x)) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (- 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)) |
2 |
(+ 2 (* 1/6 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) |
(/ (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))) |
(/ 2 x) |
(/ (+ 2 (* 1/6 (pow x 2))) x) |
(/ (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) x) |
(/ (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) 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 (cos 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 |
(+ 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)) |
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) |
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 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #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 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) (sin.f64 x)) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) (sin.f64 x)) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) (sin.f64 x)) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) (sin.f64 x)) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) (sin.f64 x)) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) (sin.f64 x)) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) (sin.f64 x)) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) (sin.f64 x)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x)) |
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/240 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 17/40320 binary64) x) x #s(literal 1/240 binary64)) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #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 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) x) x #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 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64)) |
(* -1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/24 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64)) |
(* -1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/24 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64)) |
(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 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #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 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) |
(/ (+ 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 (* -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 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2)) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2)) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x #s(literal -1/24 binary64)) x (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* -1 (/ (cos x) (pow x 2))) |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (cos x) (pow x 2))) |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (cos x) (pow x 2))) |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (cos x) (pow x 2))) |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (cos x) (pow x 2))) |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (cos x) (pow x 2))) |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (cos x) (pow x 2))) |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (cos x) (pow x 2))) |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 (pow x 2)) 1) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64)) x) x #s(literal -1 binary64)) |
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) |
(* -1 (cos x)) |
(neg.f64 (cos.f64 x)) |
(* -1 (cos x)) |
(neg.f64 (cos.f64 x)) |
(* -1 (cos x)) |
(neg.f64 (cos.f64 x)) |
(* -1 (cos x)) |
(neg.f64 (cos.f64 x)) |
(* -1 (cos x)) |
(neg.f64 (cos.f64 x)) |
(* -1 (cos x)) |
(neg.f64 (cos.f64 x)) |
(* -1 (cos x)) |
(neg.f64 (cos.f64 x)) |
(* -1 (cos x)) |
(neg.f64 (cos.f64 x)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #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 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) x) x #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)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 1/6 (pow x 2))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3024 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(/ (pow x 2) (- 1 (cos x))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) |
(/ (pow x 2) (- 1 (cos x))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) |
(/ (pow x 2) (- 1 (cos x))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) |
(/ (pow x 2) (- 1 (cos x))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) |
(/ (pow x 2) (- 1 (cos x))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) |
(/ (pow x 2) (- 1 (cos x))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) |
(/ (pow x 2) (- 1 (cos x))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) |
(/ (pow x 2) (- 1 (cos x))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (+ 2 (* 1/6 (pow x 2))) x) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) x) |
(/ (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(/ (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3024 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(/ x (- 1 (cos x))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/ x (- 1 (cos x))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/ x (- 1 (cos x))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/ x (- 1 (cos x))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/ x (- 1 (cos x))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/ x (- 1 (cos x))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/ x (- 1 (cos x))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/ x (- 1 (cos x))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x 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 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #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 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) x) x #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 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64)) |
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1/2 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) (*.f64 x x) x) x) |
(* (pow x 2) (cos x)) |
(*.f64 (*.f64 (cos.f64 x) x) x) |
(* (pow x 2) (cos x)) |
(*.f64 (*.f64 (cos.f64 x) x) x) |
(* (pow x 2) (cos x)) |
(*.f64 (*.f64 (cos.f64 x) x) x) |
(* (pow x 2) (cos x)) |
(*.f64 (*.f64 (cos.f64 x) x) x) |
(* (pow x 2) (cos x)) |
(*.f64 (*.f64 (cos.f64 x) x) x) |
(* (pow x 2) (cos x)) |
(*.f64 (*.f64 (cos.f64 x) x) x) |
(* (pow x 2) (cos x)) |
(*.f64 (*.f64 (cos.f64 x) x) x) |
(* (pow x 2) (cos x)) |
(*.f64 (*.f64 (cos.f64 x) x) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x #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) |
x |
(* x (+ 1 (* -1/2 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) (*.f64 x x) x) |
(* x (cos x)) |
(*.f64 (cos.f64 x) x) |
(* x (cos x)) |
(*.f64 (cos.f64 x) x) |
(* x (cos x)) |
(*.f64 (cos.f64 x) x) |
(* x (cos x)) |
(*.f64 (cos.f64 x) x) |
(* x (cos x)) |
(*.f64 (cos.f64 x) x) |
(* x (cos x)) |
(*.f64 (cos.f64 x) x) |
(* x (cos x)) |
(*.f64 (cos.f64 x) x) |
(* x (cos x)) |
(*.f64 (cos.f64 x) x) |
| 2 570× | lower-*.f32 |
| 2 562× | lower-*.f64 |
| 2 225× | lower-/.f32 |
| 2 219× | lower-/.f64 |
| 2 087× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 150 |
| 0 | 56 | 135 |
| 1 | 205 | 131 |
| 2 | 1550 | 131 |
| 0 | 8220 | 131 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x 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)) |
(*.f64 x x) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)) |
#s(approx (neg (cos x)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) |
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) |
(*.f64 x (*.f64 x (cos.f64 x))) |
(sin.f64 x) |
(*.f64 x (cos.f64 x)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) x) (/.f64 (sin.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) |
(*.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x)) |
(*.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) |
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (*.f64 x x) x) x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x)))) (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x)))) (neg.f64 (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (*.f64 x x) x) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x))) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x))) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) #s(literal 3 binary64))))) |
(fma.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) |
(fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) x (*.f64 x x)) |
(fma.f64 (neg.f64 (*.f64 (cos.f64 x) x)) x (*.f64 x x)) |
(fma.f64 (*.f64 (*.f64 (/.f64 x x) x) x) (/.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) |
(fma.f64 (*.f64 (/.f64 x x) x) (*.f64 (/.f64 x x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) |
(fma.f64 (/.f64 x x) (*.f64 (*.f64 (/.f64 x x) x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) |
(fma.f64 (*.f64 (neg.f64 x) x) (cos.f64 x) (*.f64 x x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) |
(fma.f64 (neg.f64 x) (*.f64 (cos.f64 x) x) (*.f64 x x)) |
(fma.f64 (*.f64 (cos.f64 x) x) (neg.f64 x) (*.f64 x x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 x) (*.f64 x x)) (*.f64 x x)) |
(fma.f64 (*.f64 x x) (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) |
(fma.f64 x (neg.f64 (*.f64 (cos.f64 x) x)) (*.f64 x x)) |
(fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (fma.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (*.f64 x x) x) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (*.f64 x x) x) x)))) |
(-.f64 (*.f64 x x) (*.f64 (cos.f64 x) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) |
(*.f64 (*.f64 (cos.f64 x) x) x) |
(*.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (*.f64 x x) (cos.f64 x)) |
(*.f64 x (*.f64 (cos.f64 x) x)) |
(sin.f64 x) |
(*.f64 (cos.f64 x) x) |
(*.f64 x (cos.f64 x)) |
Compiled 27 386 to 2 335 computations (91.5% saved)
35 alts after pruning (26 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 360 | 11 | 1 371 |
| Fresh | 7 | 15 | 22 |
| Picked | 0 | 5 | 5 |
| Done | 1 | 4 | 5 |
| Total | 1 368 | 35 | 1 403 |
| Status | Accuracy | Program |
|---|---|---|
| 54.6% | (fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) | |
| 47.5% | (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) | |
| 3.9% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) | |
| ✓ | 26.7% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x))) |
| ▶ | 54.4% | (/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x)) |
| 47.1% | (/.f64 (fma.f64 (neg.f64 (cos.f64 x)) x x) (*.f64 (*.f64 x x) x)) | |
| 30.0% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) | |
| 55.2% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| 55.0% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) (neg.f64 x))) (neg.f64 x)) | |
| 18.9% | (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) x) x)) | |
| ✓ | 18.9% | (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) |
| ▶ | 47.1% | (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 x x) x)) |
| ✓ | 54.1% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ▶ | 26.0% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| 54.1% | (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) | |
| 47.1% | (/.f64 (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) x) (*.f64 (*.f64 x x) x)) | |
| ✓ | 74.4% | (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) |
| 9.7% | (/.f64 #s(approx (- (* x x) (* x (* x (cos x)))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 x x) x) x)) | |
| 54.0% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) | |
| ✓ | 54.8% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
| ▶ | 75.2% | (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) |
| 54.0% | (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| ✓ | 54.0% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
| 54.2% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (cos.f64 x))) | |
| 47.0% | (*.f64 (fma.f64 (neg.f64 (cos.f64 x)) x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) | |
| 54.3% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| ▶ | 53.9% | (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x))) |
| 18.9% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x)) | |
| ✓ | 54.0% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
| 47.0% | (*.f64 (-.f64 x (*.f64 x (cos.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) | |
| 53.9% | (*.f64 (*.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| 48.2% | #s(approx (/ (- (* x x) (* x (* x (cos x)))) (* (* (* x x) x) x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) | |
| 47.6% | #s(approx (/ (- (* x x) (* x (* x (cos x)))) (* (* (* x x) x) x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) | |
| ✓ | 47.5% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
| ✓ | 48.6% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 908 to 508 computations (44.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x (*.f64 (cos.f64 x) x)) | |
| cost-diff | 320 | (/.f64 x (*.f64 x x)) | |
| cost-diff | 640 | (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) | |
| cost-diff | 704 | (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x))) | |
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (/.f64 (cos.f64 x) (neg.f64 x)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x)) | |
| cost-diff | 1024 | (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) | |
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (*.f64 (cos.f64 x) x) | |
| cost-diff | 0 | (-.f64 x (*.f64 (cos.f64 x) x)) | |
| cost-diff | 640 | (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (*.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 #s(literal 1/6 binary64) x) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) |
| 1 633× | lower-fma.f32 |
| 1 631× | lower-fma.f64 |
| 1 359× | lower-*.f32 |
| 1 354× | lower-*.f64 |
| 1 162× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 184 |
| 0 | 49 | 180 |
| 1 | 97 | 170 |
| 2 | 203 | 156 |
| 3 | 422 | 156 |
| 4 | 1074 | 156 |
| 5 | 3178 | 156 |
| 6 | 5411 | 156 |
| 0 | 8185 | 156 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
#s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 binary64) |
x |
#s(literal 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 x (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 x x) x)) |
(-.f64 x (*.f64 (cos.f64 x) x)) |
x |
(*.f64 (cos.f64 x) x) |
(cos.f64 x) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
(/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x)) |
(fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) |
(/.f64 (cos.f64 x) (neg.f64 x)) |
(cos.f64 x) |
x |
(neg.f64 x) |
#s(literal 1 binary64) |
(*.f64 x x) |
(*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x))) |
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) |
(-.f64 x (*.f64 (cos.f64 x) x)) |
x |
(*.f64 (cos.f64 x) x) |
(cos.f64 x) |
(*.f64 x x) |
(/.f64 x (*.f64 x x)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
#s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))) |
#s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 binary64) |
x |
#s(literal 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 x (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 x x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 x (*.f64 (cos.f64 x) x)) |
(fma.f64 (neg.f64 x) (cos.f64 x) x) |
x |
(*.f64 (cos.f64 x) x) |
(cos.f64 x) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
(/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(/.f64 (cos.f64 x) (neg.f64 x)) |
(cos.f64 x) |
x |
(neg.f64 x) |
#s(literal 1 binary64) |
(*.f64 x x) |
(*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(-.f64 x (*.f64 (cos.f64 x) x)) |
(fma.f64 (neg.f64 x) (cos.f64 x) x) |
x |
(*.f64 (cos.f64 x) x) |
(cos.f64 x) |
(*.f64 x x) |
(/.f64 x (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.140625 | (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x))) | |
| accuracy | 9.390296927183607 | (-.f64 x (*.f64 (cos.f64 x) x)) | |
| accuracy | 29.579442109900956 | (/.f64 x (*.f64 x x)) | |
| accuracy | 33.75533370819523 | (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) | |
| accuracy | 0 | (cos.f64 x) | |
| accuracy | 0.12109375 | (/.f64 (cos.f64 x) (neg.f64 x)) | |
| accuracy | 15.82288766593258 | (/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x)) | |
| accuracy | 28.851249301198834 | (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) | |
| accuracy | 0.0703125 | (*.f64 (*.f64 x x) x) | |
| accuracy | 0.125 | (*.f64 (cos.f64 x) x) | |
| accuracy | 9.390296927183607 | (-.f64 x (*.f64 (cos.f64 x) x)) | |
| accuracy | 23.593662976025126 | (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 x x) x)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 12.959075987135733 | (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) | |
| accuracy | 15.82288766593258 | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| accuracy | 30.480009006811205 | #s(approx (cos x) #s(literal 1 binary64)) | |
| accuracy | 0.08203125 | (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) | |
| accuracy | 0.3115984425072816 | (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) | |
| accuracy | 0.33203125 | (*.f64 #s(literal 1/6 binary64) x) | |
| accuracy | 15.647290785511009 | #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))) |
| 98.0ms | 71× | 2 | valid |
| 41.0ms | 140× | 0 | valid |
| 12.0ms | 33× | 1 | valid |
| 10.0ms | 12× | 3 | valid |
Compiled 169 to 28 computations (83.4% saved)
ival-div: 26.0ms (31.2% of total)ival-cos: 22.0ms (26.4% of total)ival-mult: 16.0ms (19.2% of total)adjust: 7.0ms (8.4% of total)ival-sub: 5.0ms (6% of total)const: 4.0ms (4.8% of total)ival-add: 3.0ms (3.6% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))) (patch #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/6 binary64) x) (patch (*.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (patch (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 x x) x)) (patch (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 x (*.f64 (cos.f64 x) x)) (patch (-.f64 x (*.f64 (cos.f64 x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (cos.f64 x) x) (patch (*.f64 (cos.f64 x) x) #<representation binary64>) () ()) |
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x)) (patch (/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (cos.f64 x) (neg.f64 x)) (patch (/.f64 (cos.f64 x) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x))) (patch (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (patch (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 x x)) (patch (/.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))) (patch #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))) (patch #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) (taylor 0 x) (#s(alt #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))) (patch #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) (taylor 0 x) (#s(alt #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))) (patch #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (- 1 (cos x))) (taylor inf x) (#s(alt #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))) (patch #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (- 1 (cos x))) (taylor inf x) (#s(alt #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))) (patch #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (- 1 (cos x))) (taylor inf x) (#s(alt #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))) (patch #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (- 1 (cos x))) (taylor inf x) (#s(alt #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))) (patch #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (- 1 (cos x))) (taylor -inf x) (#s(alt #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))) (patch #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (- 1 (cos x))) (taylor -inf x) (#s(alt #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))) (patch #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (- 1 (cos x))) (taylor -inf x) (#s(alt #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))) (patch #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (- 1 (cos x))) (taylor -inf x) (#s(alt #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))) (patch #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/6 binary64) x) (patch (*.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/6 binary64) x) (patch (*.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/6 binary64) x) (patch (*.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/6 x) (taylor inf x) (#s(alt (*.f64 #s(literal 1/6 binary64) x) (patch (*.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ()) |
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#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/ (cos x) (neg x)) |
| 0.0ms | x | @ | inf | (/ (- x (* (cos x) x)) (* (* x x) x)) |
| 0.0ms | x | @ | -inf | (/ (- x (* (cos x) x)) (* x x)) |
| 0.0ms | x | @ | -inf | (/ (- x (* (cos x) x)) (* (* x x) x)) |
| 0.0ms | x | @ | -inf | (* (* x x) x) |
| 1× | egg-herbie |
| 8 009× | lower-fma.f64 |
| 8 009× | lower-fma.f32 |
| 1 922× | lower-*.f64 |
| 1 922× | lower-*.f32 |
| 1 384× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 1496 |
| 1 | 275 | 1490 |
| 2 | 649 | 1490 |
| 3 | 1781 | 1484 |
| 4 | 3564 | 1484 |
| 5 | 6409 | 1484 |
| 0 | 8102 | 1391 |
| 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)) |
2 |
(+ 2 (* 1/6 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) |
(/ (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))) |
2 |
(+ 2 (* 1/6 (pow x 2))) |
(+ 2 (* 1/6 (pow x 2))) |
(+ 2 (* 1/6 (pow x 2))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 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 |
(+ 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 (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)))) |
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)) |
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 (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 (* -1 (cos x))) |
(+ 1 (* -1 (cos x))) |
(+ 1 (* -1 (cos x))) |
(+ 1 (* -1 (cos x))) |
(+ 1 (* -1 (cos x))) |
(+ 1 (* -1 (cos x))) |
(+ 1 (* -1 (cos 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 (* -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 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ -1 x) |
(/ (- (* 1/2 (pow x 2)) 1) x) |
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x) |
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) 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 (/ (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)) |
(* 1/2 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 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 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 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #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)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 1/6 (pow x 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3024 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(/ (pow x 2) (- 1 (cos x))) |
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/ (pow x 2) (- 1 (cos x))) |
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/ (pow x 2) (- 1 (cos x))) |
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/ (pow x 2) (- 1 (cos x))) |
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/ (pow x 2) (- 1 (cos x))) |
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/ (pow x 2) (- 1 (cos x))) |
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/ (pow x 2) (- 1 (cos x))) |
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/ (pow x 2) (- 1 (cos x))) |
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 1/6 (pow x 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* 1/6 (pow x 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* 1/6 (pow x 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #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 (*.f64 x #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) 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 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #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 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #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 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) |
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64)) x) (*.f64 x x)) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) 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 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) (*.f64 x x)) |
(* x (- 1 (cos x))) |
(fma.f64 (neg.f64 x) (cos.f64 x) x) |
(* x (- 1 (cos x))) |
(fma.f64 (neg.f64 x) (cos.f64 x) x) |
(* x (- 1 (cos x))) |
(fma.f64 (neg.f64 x) (cos.f64 x) x) |
(* x (- 1 (cos x))) |
(fma.f64 (neg.f64 x) (cos.f64 x) x) |
(* x (+ 1 (* -1 (cos x)))) |
(fma.f64 (neg.f64 x) (cos.f64 x) x) |
(* x (+ 1 (* -1 (cos x)))) |
(fma.f64 (neg.f64 x) (cos.f64 x) x) |
(* x (+ 1 (* -1 (cos x)))) |
(fma.f64 (neg.f64 x) (cos.f64 x) x) |
(* x (+ 1 (* -1 (cos x)))) |
(fma.f64 (neg.f64 x) (cos.f64 x) x) |
x |
(* x (+ 1 (* -1/2 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x 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 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) x) x) |
(* x (cos x)) |
(*.f64 (cos.f64 x) x) |
(* x (cos x)) |
(*.f64 (cos.f64 x) x) |
(* x (cos x)) |
(*.f64 (cos.f64 x) x) |
(* x (cos x)) |
(*.f64 (cos.f64 x) x) |
(* x (cos x)) |
(*.f64 (cos.f64 x) x) |
(* x (cos x)) |
(*.f64 (cos.f64 x) x) |
(* x (cos x)) |
(*.f64 (cos.f64 x) x) |
(* x (cos x)) |
(*.f64 (cos.f64 x) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(+ 1 (* -1 (cos x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(+ 1 (* -1 (cos x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(+ 1 (* -1 (cos x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(+ 1 (* -1 (cos x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(+ 1 (* -1 (cos x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(+ 1 (* -1 (cos x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(+ 1 (* -1 (cos x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(+ 1 (* -1 (cos x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(/ (+ 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 (* -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) |
(/ (- (* 1/2 (pow x 2)) 1) x) |
(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x) |
(fma.f64 (fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64)) x (/.f64 #s(literal -1 binary64) x)) |
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x (/.f64 #s(literal -1 binary64) x)) |
(* -1 (/ (cos x) x)) |
(/.f64 (cos.f64 x) (neg.f64 x)) |
(* -1 (/ (cos x) x)) |
(/.f64 (cos.f64 x) (neg.f64 x)) |
(* -1 (/ (cos x) x)) |
(/.f64 (cos.f64 x) (neg.f64 x)) |
(* -1 (/ (cos x) x)) |
(/.f64 (cos.f64 x) (neg.f64 x)) |
(* -1 (/ (cos x) x)) |
(/.f64 (cos.f64 x) (neg.f64 x)) |
(* -1 (/ (cos x) x)) |
(/.f64 (cos.f64 x) (neg.f64 x)) |
(* -1 (/ (cos x) x)) |
(/.f64 (cos.f64 x) (neg.f64 x)) |
(* -1 (/ (cos x) x)) |
(/.f64 (cos.f64 x) (neg.f64 x)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #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 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) 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 (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 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) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
| 2 420× | lower-/.f32 |
| 2 413× | lower-/.f64 |
| 2 154× | lower-fma.f32 |
| 2 152× | lower-fma.f64 |
| 1 978× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 149 |
| 0 | 49 | 139 |
| 1 | 204 | 129 |
| 2 | 1597 | 121 |
| 0 | 8840 | 121 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) |
#s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) |
(*.f64 #s(literal 1/6 binary64) x) |
(/.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 (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 x x) x)) |
(-.f64 x (*.f64 (cos.f64 x) x)) |
(*.f64 (cos.f64 x) x) |
(cos.f64 x) |
(fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) |
(/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (cos.f64 x) (neg.f64 x)) |
(*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x))) |
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) |
(/.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
| Outputs |
|---|
(*.f64 (pow.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))) |
(pow.f64 (exp.f64 (log.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))) |
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(/.f64 (fma.f64 x (neg.f64 (/.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (*.f64 x x) #s(literal -1 binary64))) (*.f64 (*.f64 x x) (neg.f64 (/.f64 (neg.f64 x) (cos.f64 x))))) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (fma.f64 x (/.f64 (neg.f64 x) (cos.f64 x)) (*.f64 x x)) (*.f64 (*.f64 x x) (/.f64 (neg.f64 x) (cos.f64 x)))) |
(/.f64 (+.f64 (/.f64 (neg.f64 x) (cos.f64 x)) x) (*.f64 x (/.f64 (neg.f64 x) (cos.f64 x)))) |
(/.f64 (+.f64 x (*.f64 x (*.f64 (cos.f64 x) #s(literal -1 binary64)))) (*.f64 x x)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 x (neg.f64 (neg.f64 (cos.f64 x))))) (*.f64 (neg.f64 x) x)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (neg.f64 x) (cos.f64 x))) (neg.f64 x)) (*.f64 x (neg.f64 (/.f64 (neg.f64 x) (cos.f64 x))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (neg.f64 (cos.f64 x)) x)) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x))) (neg.f64 x)) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 (cos.f64 x) x x)) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (neg.f64 (cos.f64 x)) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (cos.f64 x) x x) (*.f64 x x))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x x)))) (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (cos.f64 x) x x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (neg.f64 (cos.f64 x)) x) #s(literal 3 binary64)))) (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) x) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x))) (neg.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (*.f64 x (+.f64 (cos.f64 x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (*.f64 x (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) (*.f64 x x))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (neg.f64 (cos.f64 x)) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x)) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 (cos.f64 x) x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 x (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (neg.f64 (cos.f64 x)) x) #s(literal 3 binary64))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x)) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 x) x x) (*.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (neg.f64 (cos.f64 x)) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 x) x x) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x)))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (cos.f64 x) x x) (*.f64 x x)) (*.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x x))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x)) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (neg.f64 (cos.f64 x)) x) #s(literal 3 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (cos.f64 x) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) (*.f64 (cos.f64 x) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 (cos.f64 x) #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (cos.f64 x) x x)) (-.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x))) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (neg.f64 (cos.f64 x)) x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64) (/.f64 (cos.f64 x) (neg.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (/.f64 (cos.f64 x) (neg.f64 x))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) (neg.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 (cos.f64 x) (neg.f64 x))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (neg.f64 x))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (/.f64 (cos.f64 x) (neg.f64 x))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (neg.f64 x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (neg.f64 x))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 (cos.f64 x) x x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 2 binary64)) (/.f64 (fma.f64 (cos.f64 x) x x) (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x))))) (/.f64 (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x)))))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) (/.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (*.f64 (*.f64 x x) x))) |
(-.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 (*.f64 (*.f64 x x) (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x (+.f64 (cos.f64 x) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (cos.f64 x) x x))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x x)) (*.f64 (*.f64 x x) (fma.f64 (cos.f64 x) x x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 x (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x)))) (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 (/.f64 x (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) x) (*.f64 x x))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x))) (*.f64 x x))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) x) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) x)) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) x) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) x)) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(pow.f64 x #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) x))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) x)) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(/.f64 (neg.f64 x) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x)))) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) |
(/.f64 x (neg.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 x (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) x) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(neg.f64 (*.f64 (*.f64 (neg.f64 x) x) x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
Compiled 36 202 to 2 977 computations (91.8% saved)
43 alts after pruning (29 fresh and 14 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 780 | 12 | 1 792 |
| Fresh | 4 | 17 | 21 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 9 | 9 |
| Total | 1 784 | 43 | 1 827 |
| Status | Accuracy | Program |
|---|---|---|
| 54.6% | (fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) | |
| 3.9% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) | |
| ✓ | 26.7% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x))) |
| ✓ | 54.4% | (/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x)) |
| 54.4% | (/.f64 (fma.f64 (*.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x)) | |
| 47.1% | (/.f64 (fma.f64 (neg.f64 (cos.f64 x)) x x) (*.f64 (*.f64 x x) x)) | |
| 30.0% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) | |
| 55.2% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| 55.0% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) (neg.f64 x))) (neg.f64 x)) | |
| 15.3% | (/.f64 (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))) | |
| 18.9% | (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) x) x)) | |
| ✓ | 18.9% | (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) |
| ✓ | 47.1% | (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 x x) x)) |
| ✓ | 54.1% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ✓ | 26.0% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| ✓ | 74.4% | (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) |
| 47.3% | (/.f64 x (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x))) | |
| 54.0% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) | |
| ✓ | 54.8% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
| ✓ | 75.2% | (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) |
| 48.8% | (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (/.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 8 binary64)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))))) | |
| 50.2% | (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))))) | |
| 48.8% | (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)))))) | |
| 50.2% | (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))))) | |
| 50.2% | (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)))))) | |
| 30.5% | (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* (* 1/6 x) x) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) | |
| 54.0% | (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| ✓ | 54.0% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
| 54.2% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (cos.f64 x))) | |
| 54.6% | (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (/.f64 (cos.f64 x) (neg.f64 x))) (/.f64 x (*.f64 x x))) | |
| 47.0% | (*.f64 (fma.f64 (neg.f64 (cos.f64 x)) x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) | |
| 54.3% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| ✓ | 53.9% | (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x))) |
| 18.9% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x)) | |
| ✓ | 54.0% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
| 53.8% | (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) (/.f64 x (*.f64 x x))) | |
| 47.0% | (*.f64 (-.f64 x (*.f64 x (cos.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) | |
| 53.9% | (*.f64 (*.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| 22.9% | (*.f64 #s(approx (/ (- x (* (cos x) x)) (* x x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) (/.f64 x (*.f64 x x))) | |
| 48.2% | #s(approx (/ (- (* x x) (* x (* x (cos x)))) (* (* (* x x) x) x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) | |
| 47.6% | #s(approx (/ (- (* x x) (* x (* x (cos x)))) (* (* (* x x) x) x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) | |
| ✓ | 47.5% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
| ✓ | 48.6% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 1 657 to 590 computations (64.4% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #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)) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* (* 1/6 x) x) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* x x) (* x (* x (cos x)))) (* (* (* x x) x) x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* x x) (* x (* x (cos x)))) (* (* (* x x) x) x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))))) |
(*.f64 #s(approx (/ (- x (* (cos x) x)) (* x x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) (/.f64 x (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) |
(/.f64 #s(approx (- (* x x) (* x (* x (cos x)))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (/.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 8 binary64)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(*.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 x (*.f64 x (cos.f64 x))) (*.f64 (*.f64 x x) x)) |
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 x x) x)) |
(/.f64 (fma.f64 (neg.f64 (cos.f64 x)) x x) (*.f64 (*.f64 x x) x)) |
(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (-.f64 x (*.f64 x (cos.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) |
(*.f64 (fma.f64 (neg.f64 (cos.f64 x)) x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 x (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x))) |
(/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (fma.f64 (*.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x)) |
(fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (cos.f64 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 (cos.f64 x) (neg.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 (*.f64 (*.f64 x x) x) x)) (*.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (*.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) x) (*.f64 (*.f64 x x) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) (/.f64 x (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (/.f64 (cos.f64 x) (neg.f64 x))) (/.f64 x (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))) |
(*.f64 #s(approx (/ (sin x) (* x x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) x) x)) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #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) |
2 calls:
| 18.0ms | x |
| 16.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 2 | x |
| 99.4% | 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 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #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)) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* (* 1/6 x) x) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* x x) (* x (* x (cos x)))) (* (* (* x x) x) x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* x x) (* x (* x (cos x)))) (* (* (* x x) x) x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))))) |
(*.f64 #s(approx (/ (- x (* (cos x) x)) (* x x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) (/.f64 x (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) |
(/.f64 #s(approx (- (* x x) (* x (* x (cos x)))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (/.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 8 binary64)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(*.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 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #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)) |
2 calls:
| 9.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 3 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 99.2% | 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 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #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)) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* (* 1/6 x) x) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* x x) (* x (* x (cos x)))) (* (* (* x x) x) x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* x x) (* x (* x (cos x)))) (* (* (* x x) x) x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))))) |
(*.f64 #s(approx (/ (- x (* (cos x) x)) (* x x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) (/.f64 x (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) |
(/.f64 #s(approx (- (* x x) (* x (* x (cos x)))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (/.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 8 binary64)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) |
2 calls:
| 6.0ms | x |
| 5.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.2% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 75.2% | 1 | 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 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #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)) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* (* 1/6 x) x) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* x x) (* x (* x (cos x)))) (* (* (* x x) x) x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* (* 1/6 x) x) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.4% | 2 | x |
| 56.0% | 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 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #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)) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* (* 1/6 x) x) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* (* 1/6 x) x) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.2% | 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 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #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)) |
| 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:
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.1% | 2 | x |
Compiled 2 to 1 computations (50% saved)
Total -1.0b remaining (-3.1%)
Threshold costs -1b (-3.1%)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
2 calls:
| 2.0ms | x |
| 2.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.6% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 48.6% | 1 | x |
Compiled 11 to 7 computations (36.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 0.04808677259133442 | 4743.467650573791 |
| 7.0ms | 144× | 0 | valid |
Compiled 273 to 181 computations (33.7% saved)
ival-cos: 2.0ms (46.2% of total)ival-sub: 1.0ms (23.1% of total)ival-div: 1.0ms (23.1% of total)ival-mult: 1.0ms (23.1% 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 | 0.04808677259133442 | 4743.467650573791 |
Compiled 273 to 181 computations (33.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 0.04808677259133442 | 4743.467650573791 |
| 8.0ms | 112× | 0 | valid |
Compiled 237 to 145 computations (38.8% saved)
ival-cos: 3.0ms (54.4% of total)ival-sub: 1.0ms (18.1% of total)ival-div: 1.0ms (18.1% of total)ival-mult: 1.0ms (18.1% 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 |
|---|---|---|
| 10.0ms | 0.04808677259133442 | 4743.467650573791 |
| 6.0ms | 96× | 0 | valid |
Compiled 192 to 127 computations (33.9% saved)
ival-cos: 3.0ms (65.7% of total)ival-div: 1.0ms (21.9% of total)ival-mult: 1.0ms (21.9% of total)ival-sub: 0.0ms (0% 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 |
|---|---|---|
| 10.0ms | 2.7538594934545086e+76 | 3.2447838416510785e+77 |
| 7.0ms | 96× | 0 | valid |
Compiled 96 to 64 computations (33.3% saved)
ival-cos: 3.0ms (63.3% of total)ival-mult: 1.0ms (21.1% of total)ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% 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 |
| 7× | *-commutative_binary64 |
| 4× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 216 |
| 1 | 72 | 216 |
| 2 | 79 | 216 |
| 3 | 83 | 216 |
| 4 | 85 | 216 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #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 3602879701896397/36028797018963968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #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))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) |
(if (<=.f64 x #s(literal 5291729562160333/1125899906842624 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* (* 1/6 x) x) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))) |
(if (<=.f64 x #s(literal 13/4 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* (* 1/6 x) x) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))) |
(if (<=.f64 x #s(literal 95000000000000002863774732852029335427854121033570389738444746798740535246848 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 |
|---|
(if (<=.f64 x #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #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 3602879701896397/36028797018963968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #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))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) |
(if (<=.f64 x #s(literal 5291729562160333/1125899906842624 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* (* 1/6 x) x) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))) |
(if (<=.f64 x #s(literal 13/4 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* (* 1/6 x) x) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))) |
(if (<=.f64 x #s(literal 13/4 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* (* 1/6 x) x) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))) |
(if (<=.f64 x #s(literal 95000000000000002863774732852029335427854121033570389738444746798740535246848 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)) |
| 8 376× | lower-fma.f64 |
| 8 376× | lower-fma.f32 |
| 8 009× | lower-fma.f64 |
| 8 009× | lower-fma.f32 |
| 7 743× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 137 | 1864 |
| 1 | 387 | 1864 |
| 2 | 988 | 1836 |
| 3 | 3180 | 1834 |
| 4 | 6075 | 1834 |
| 5 | 7252 | 1834 |
| 0 | 8018 | 1732 |
| 0 | 95 | 1496 |
| 1 | 275 | 1490 |
| 2 | 649 | 1490 |
| 3 | 1781 | 1484 |
| 4 | 3564 | 1484 |
| 5 | 6409 | 1484 |
| 0 | 8102 | 1391 |
| 0 | 6 | 17 |
| 0 | 10 | 17 |
| 1 | 40 | 17 |
| 2 | 268 | 17 |
| 3 | 2810 | 17 |
| 0 | 9656 | 17 |
| 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× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 191 to 89 computations (53.4% saved)
Compiled 336 to 136 computations (59.5% saved)
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