
Time bar (total: 9.1s)
| 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)
| 983.0ms | 2 228× | 2 | valid |
| 539.0ms | 4 154× | 0 | valid |
| 233.0ms | 593× | 3 | valid |
| 124.0ms | 1 281× | 1 | valid |
ival-cos: 1.2s (72.4% of total)adjust: 201.0ms (12.2% of total)ival-div: 92.0ms (5.6% of total)ival-sub: 87.0ms (5.3% of total)ival-mult: 60.0ms (3.6% 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 | 0 | - | 1 | (-3.6849558616939835e-156) | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 67 | 0 | - | 0 | - | (-.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 | 67 | 5 |
/.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 | 3 | 0 |
| ↳ | (*.f64 x x) | overflow | 68 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 132 | 0 |
| - | 2 | 122 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 132 | 0 | 0 |
| - | 2 | 5 | 117 |
| number | freq |
|---|---|
| 0 | 122 |
| 1 | 134 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 33.0ms | 120× | 2 | valid |
| 21.0ms | 268× | 0 | valid |
| 13.0ms | 38× | 3 | valid |
| 9.0ms | 86× | 1 | valid |
Compiled 50 to 22 computations (56% saved)
ival-cos: 39.0ms (65.7% of total)adjust: 5.0ms (8.4% of total)ival-div: 5.0ms (8.4% of total)ival-sub: 5.0ms (8.4% of total)ival-mult: 4.0ms (6.7% 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 |
| 408× | lower-fma.f64 |
| 408× | lower-fma.f32 |
| 324× | times-frac |
| 284× | times-frac |
| 272× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 32 | 17 |
| 2 | 102 | 16 |
| 3 | 299 | 16 |
| 4 | 757 | 16 |
| 5 | 1185 | 16 |
| 6 | 1294 | 16 |
| 7 | 1310 | 16 |
| 0 | 6 | 8 |
| 0 | 10 | 8 |
| 1 | 19 | 8 |
| 2 | 30 | 8 |
| 3 | 46 | 8 |
| 4 | 82 | 8 |
| 5 | 131 | 8 |
| 6 | 188 | 8 |
| 7 | 323 | 8 |
| 8 | 621 | 8 |
| 9 | 1027 | 8 |
| 10 | 1138 | 8 |
| 0 | 1138 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(abs x)
Compiled 8 to 6 computations (25% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.7% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | -384 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 408× | lower-fma.f64 |
| 408× | lower-fma.f32 |
| 284× | times-frac |
| 272× | lower-*.f32 |
| 270× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 19 |
| 0 | 10 | 19 |
| 1 | 19 | 19 |
| 2 | 30 | 19 |
| 3 | 46 | 19 |
| 4 | 82 | 19 |
| 5 | 131 | 19 |
| 6 | 188 | 19 |
| 7 | 323 | 19 |
| 8 | 621 | 19 |
| 9 | 1027 | 19 |
| 10 | 1138 | 19 |
| 0 | 1138 | 19 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(*.f64 x x) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) 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 | 14.321830272143712 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| accuracy | 16.023967460322588 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 17.0ms | 60× | 2 | valid |
| 10.0ms | 134× | 0 | valid |
| 8.0ms | 43× | 1 | valid |
| 6.0ms | 19× | 3 | valid |
Compiled 21 to 8 computations (61.9% saved)
ival-cos: 19.0ms (64.7% of total)adjust: 3.0ms (10.2% of total)ival-div: 3.0ms (10.2% of total)ival-mult: 2.0ms (6.8% of total)ival-sub: 2.0ms (6.8% 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) (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>) () ()) |
#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>) () ()) |
| Outputs |
|---|
#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 (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 (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 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)) (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 (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 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 (/ (- 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)) (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 (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 -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 (/ (- 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>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((- 1 (cos x)) (cos x) (* x x) (/ (- 1 (cos x)) (* x x))) |
| 1.0ms | x | @ | 0 | ((- 1 (cos x)) (cos x) (* x x) (/ (- 1 (cos x)) (* x x))) |
| 1.0ms | x | @ | inf | ((- 1 (cos x)) (cos x) (* x x) (/ (- 1 (cos x)) (* x x))) |
| 1× | egg-herbie |
| 16 752× | lower-fma.f64 |
| 16 752× | lower-fma.f32 |
| 3 896× | lower-*.f64 |
| 3 896× | lower-*.f32 |
| 1 568× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 284 |
| 1 | 105 | 284 |
| 2 | 258 | 284 |
| 3 | 609 | 284 |
| 4 | 1290 | 284 |
| 5 | 1996 | 284 |
| 6 | 2309 | 284 |
| 7 | 3163 | 284 |
| 8 | 4640 | 284 |
| 9 | 6288 | 284 |
| 10 | 7165 | 284 |
| 11 | 7380 | 284 |
| 12 | 7398 | 284 |
| 13 | 7400 | 284 |
| 14 | 7806 | 284 |
| 0 | 8015 | 266 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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 (* -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))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(pow x 2) |
(pow x 2) |
(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)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(pow x 2) |
(pow x 2) |
(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)) |
| Outputs |
|---|
(* 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 #s(literal -1/24 binary64) (*.f64 x 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 |
#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 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/720 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 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) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (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)) |
(-.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)) |
(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) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) 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)) |
(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) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| 4 736× | lower-/.f32 |
| 4 734× | lower-/.f64 |
| 3 980× | lower-fma.f64 |
| 3 980× | lower-fma.f32 |
| 3 064× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 0 | 10 | 17 |
| 1 | 40 | 17 |
| 2 | 268 | 17 |
| 3 | 2810 | 17 |
| 0 | 9656 | 17 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(*.f64 x x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (sin.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (sin.f64 x) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (-.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 -3 binary64)) (pow.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 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 (*.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -3 binary64)) (pow.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -2 binary64)) (-.f64 (*.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64))) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)))) (neg.f64 (+.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 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -3 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -3 binary64))))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -3 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -3 binary64))))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)))))))) |
(/.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) (*.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.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 (sin.f64 x) (sin.f64 x) (cos.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)))) |
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)))) |
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(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (*.f64 (*.f64 (neg.f64 x) x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 x) x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 x) x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (neg.f64 x) x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)))))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) x)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) x)))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) x) x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (*.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) x) x))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) x) x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (*.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) x) x))) |
(-.f64 (/.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x))) |
(-.f64 (/.f64 (pow.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) (fma.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -4 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -4 binary64))))) |
(-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))) |
(-.f64 (*.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) x) x))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))) |
(-.f64 (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 x (/.f64 (cos.f64 x) x)) (*.f64 x x))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x))) |
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))) |
(+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (cos.f64 x))) (pow.f64 x #s(literal -2 binary64))) |
(+.f64 (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64))) |
(+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) |
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) |
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (cos.f64 x)))) |
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))))) |
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))) |
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x))) |
(exp.f64 (*.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (log1p.f64 (cos.f64 x))) #s(literal -1 binary64))) |
Compiled 13 903 to 1 656 computations (88.1% saved)
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 661 | 16 | 677 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 661 | 17 | 678 |
| Status | Accuracy | Program |
|---|---|---|
| 25.6% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) | |
| ▶ | 53.1% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| 53.0% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) | |
| 17.8% | (/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| ▶ | 21.4% | (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
| ▶ | 51.8% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) |
| ✓ | 51.7% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 27.9% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| 74.2% | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) | |
| 52.5% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) | |
| 51.7% | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) | |
| 17.8% | (-.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))) | |
| 53.1% | (*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) | |
| ▶ | 74.9% | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
| 50.1% | #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))) | |
| 49.4% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) | |
| ▶ | 50.5% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 410 to 246 computations (40% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 256 | (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) | |
| cost-diff | 1024 | (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) | |
| cost-diff | 6592 | (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| cost-diff | 0 | (/.f64 (cos.f64 x) x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) | |
| cost-diff | 1024 | (*.f64 x (/.f64 (cos.f64 x) x)) | |
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) | |
| cost-diff | 384 | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| cost-diff | 0 | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (tan.f64 (/.f64 x #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 384 | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
| 4 780× | lower-*.f32 |
| 4 768× | lower-*.f64 |
| 2 990× | lower-fma.f64 |
| 2 990× | lower-fma.f32 |
| 1 558× | cube-prod |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 160 |
| 0 | 48 | 137 |
| 1 | 94 | 136 |
| 2 | 257 | 125 |
| 3 | 1227 | 125 |
| 4 | 3201 | 125 |
| 5 | 4437 | 125 |
| 6 | 5234 | 125 |
| 7 | 5878 | 125 |
| 8 | 6549 | 125 |
| 9 | 7681 | 125 |
| 0 | 8022 | 125 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(sin.f64 x) |
x |
(*.f64 x x) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) |
#s(literal 1 binary64) |
(*.f64 x (/.f64 (cos.f64 x) x)) |
x |
(/.f64 (cos.f64 x) x) |
(cos.f64 x) |
(*.f64 x x) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) |
(neg.f64 x) |
x |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) |
(*.f64 (neg.f64 x) x) |
(/.f64 (cos.f64 x) x) |
(cos.f64 x) |
(*.f64 (*.f64 (neg.f64 x) x) x) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(/.f64 (/.f64 (sin.f64 x) 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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(*.f64 x (/.f64 (cos.f64 x) x)) |
(cos.f64 x) |
x |
(/.f64 (cos.f64 x) x) |
(cos.f64 x) |
(*.f64 x x) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) |
(fma.f64 (cos.f64 x) x (neg.f64 x)) |
(neg.f64 x) |
x |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) |
(*.f64 (neg.f64 x) (cos.f64 x)) |
(*.f64 (neg.f64 x) x) |
(/.f64 (cos.f64 x) x) |
(cos.f64 x) |
(*.f64 (*.f64 (neg.f64 x) x) x) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.13671875 | (*.f64 (*.f64 (neg.f64 x) x) x) | |
| accuracy | 11.423199324701423 | (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) | |
| accuracy | 22.37393032440049 | (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| accuracy | 30.86305533456764 | (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) | |
| accuracy | 0.13671875 | (/.f64 (cos.f64 x) x) | |
| accuracy | 0.265625 | (*.f64 x (/.f64 (cos.f64 x) x)) | |
| accuracy | 14.321830272143712 | (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) | |
| accuracy | 16.023967460322588 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) | |
| accuracy | 0 | (cos.f64 x) | |
| accuracy | 0.05859375 | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| accuracy | 14.321830272143712 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| accuracy | 15.094085875060214 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) | |
| accuracy | 31.662233755832005 | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) | |
| accuracy | 0 | (sin.f64 x) | |
| accuracy | 0.0078125 | (tan.f64 (/.f64 x #s(literal 2 binary64))) | |
| accuracy | 0.16015625 | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) | |
| accuracy | 15.41494137736023 | (/.f64 (sin.f64 x) (*.f64 x x)) |
| 74.0ms | 134× | 0 | valid |
| 64.0ms | 60× | 2 | valid |
| 16.0ms | 19× | 3 | valid |
| 15.0ms | 43× | 1 | valid |
Compiled 160 to 27 computations (83.1% saved)
ival-neg: 42.0ms (34.8% of total)ival-cos: 21.0ms (17.4% of total)ival-div: 18.0ms (14.9% of total)ival-mult: 13.0ms (10.8% of total)adjust: 8.0ms (6.6% of total)ival-sub: 6.0ms (5% of total)ival-sin: 6.0ms (5% of total)ival-tan: 5.0ms (4.1% 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 (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.f64 x) (patch (sin.f64 x) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x 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 #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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (patch (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.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 (/.f64 (cos.f64 x) x)) (patch (*.f64 x (/.f64 (cos.f64 x) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (patch (-.f64 #s(literal 1 binary64) (*.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 (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (patch (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (patch (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (neg.f64 x) x) x) (patch (*.f64 (*.f64 (neg.f64 x) x) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#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 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 (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 (* 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 1/2 (taylor 0 x) (#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 (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#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 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (taylor 0 x) (#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 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (taylor 0 x) (#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 1/2 (taylor 0 x) (#s(alt (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (patch (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (patch (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 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 #s(literal 1 binary64) (cos.f64 x)) x) x) (patch (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 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 #s(literal 1 binary64) (cos.f64 x)) x) x) (patch (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 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)) x) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 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)) x) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.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 (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 1 (taylor 0 x) (#s(alt (*.f64 x (/.f64 (cos.f64 x) x)) (patch (*.f64 x (/.f64 (cos.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (*.f64 x (/.f64 (cos.f64 x) x)) (patch (*.f64 x (/.f64 (cos.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt (*.f64 x (/.f64 (cos.f64 x) x)) (patch (*.f64 x (/.f64 (cos.f64 x) 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 (*.f64 x (/.f64 (cos.f64 x) x)) (patch (*.f64 x (/.f64 (cos.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) 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) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) 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) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) 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) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) 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) (*.f64 x (/.f64 (cos.f64 x) x))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) 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) (*.f64 x (/.f64 (cos.f64 x) x))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) 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) (*.f64 x (/.f64 (cos.f64 x) x))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 (cos.f64 x) x) (patch (/.f64 (cos.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1/2 (pow x 2))) x) (taylor 0 x) (#s(alt (/.f64 (cos.f64 x) x) (patch (/.f64 (cos.f64 x) x) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) x) (patch (*.f64 (*.f64 (neg.f64 x) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) x) (patch (*.f64 (*.f64 (neg.f64 x) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) x) (patch (*.f64 (*.f64 (neg.f64 x) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) x) (patch (*.f64 (*.f64 (neg.f64 x) x) x) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | ((* (/ (sin x) (* x x)) (tan (/ x 2))) (sin x) (* x x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (cos x) (* x (/ (cos x) x)) (/ (- 1 (* x (/ (cos x) x))) (* x x)) (- 1 (* x (/ (cos x) x))) (/ (cos x) x) (/ (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x)) (* (* (neg x) x) (/ (cos x) x)) (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (neg x) (/ (sin x) (* x x)) (* (* (neg x) x) x)) |
| 4.0ms | x | @ | -inf | ((* (/ (sin x) (* x x)) (tan (/ x 2))) (sin x) (* x x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (cos x) (* x (/ (cos x) x)) (/ (- 1 (* x (/ (cos x) x))) (* x x)) (- 1 (* x (/ (cos x) x))) (/ (cos x) x) (/ (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x)) (* (* (neg x) x) (/ (cos x) x)) (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (neg x) (/ (sin x) (* x x)) (* (* (neg x) x) x)) |
| 2.0ms | x | @ | 0 | ((* (/ (sin x) (* x x)) (tan (/ x 2))) (sin x) (* x x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (cos x) (* x (/ (cos x) x)) (/ (- 1 (* x (/ (cos x) x))) (* x x)) (- 1 (* x (/ (cos x) x))) (/ (cos x) x) (/ (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x)) (* (* (neg x) x) (/ (cos x) x)) (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (neg x) (/ (sin x) (* x x)) (* (* (neg x) x) x)) |
| 1× | egg-herbie |
| 15 542× | lower-fma.f64 |
| 15 542× | lower-fma.f32 |
| 4 772× | lower-*.f64 |
| 4 772× | lower-*.f32 |
| 3 966× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 129 | 1633 |
| 1 | 345 | 1627 |
| 2 | 853 | 1613 |
| 3 | 2500 | 1613 |
| 4 | 4823 | 1613 |
| 5 | 7075 | 1613 |
| 0 | 8053 | 1520 |
| 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))) |
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)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 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)))))))) |
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))) |
1/2 |
(+ 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))) |
(* 1/2 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)))) |
(* 1/2 (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 (* -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))) |
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))) |
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))) |
(* 1/2 (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 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) |
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 x) |
(* 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)) |
(* -1/2 (pow x 3)) |
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 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) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(/ (* (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 x) |
(sin x) |
(sin x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(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))) |
(/ (- 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 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (+ 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 (cos x))) |
(* -1 (* x (cos x))) |
(* -1 (* x (cos x))) |
(* -1 (* x (cos x))) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (sin x) (pow x 2)) |
(/ (sin x) (pow x 2)) |
(/ (sin x) (pow x 2)) |
(/ (sin x) (pow x 2)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(/ (* (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 x) |
(sin x) |
(sin x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(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))) |
(/ (- 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 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (- 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 (* x (cos x))) |
(* -1 (* x (cos x))) |
(* -1 (* x (cos x))) |
(* -1 (* x (cos x))) |
(* -1 (* x (- 1 (cos x)))) |
(* -1 (* x (- 1 (cos x)))) |
(* -1 (* x (- 1 (cos x)))) |
(* -1 (* x (- 1 (cos x)))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (sin x) (pow x 2)) |
(/ (sin x) (pow x 2)) |
(/ (sin x) (pow x 2)) |
(/ (sin x) (pow x 2)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
| Outputs |
|---|
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 (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 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (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) |
(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 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 #s(literal 1/240 binary64) (*.f64 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 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) 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 (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)) |
1/2 |
#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 (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)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #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) |
(* 1/2 (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 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 (*.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 |
#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 (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 |
#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 (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)) |
1/2 |
#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 (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)) |
(* 1/2 (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 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 (*.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 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1/2 (pow x 2))) x) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x) |
(/.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)) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x) |
(/.f64 (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)) 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 (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 x) |
(neg.f64 x) |
(* x (- (* 1/2 (pow x 2)) 1)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64) (neg.f64 x)) |
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (neg.f64 x)) |
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (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)) (neg.f64 x)) |
(* -1/2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (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))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(*.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)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1/6 (pow x 2))) x) |
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 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 (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)) (*.f64 x x) #s(literal 1 binary64)) x) |
(* -1 (pow x 3)) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(* -1 (pow x 3)) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(* -1 (pow x 3)) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(* -1 (pow x 3)) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (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 (/.f64 (sin.f64 x) (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 (/.f64 (sin.f64 x) (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 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(/ (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 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) 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 (cos x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.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)) |
(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 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) 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)) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* -1 (* x (cos x))) |
(*.f64 (neg.f64 (cos.f64 x)) x) |
(* -1 (* x (cos x))) |
(*.f64 (neg.f64 (cos.f64 x)) x) |
(* -1 (* x (cos x))) |
(*.f64 (neg.f64 (cos.f64 x)) x) |
(* -1 (* x (cos x))) |
(*.f64 (neg.f64 (cos.f64 x)) x) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(fma.f64 (cos.f64 x) x (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(fma.f64 (cos.f64 x) x (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(fma.f64 (cos.f64 x) x (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(fma.f64 (cos.f64 x) x (neg.f64 x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ (sin x) (pow x 2)) |
(/.f64 (/.f64 (sin.f64 x) x) x) |
(/ (sin x) (pow x 2)) |
(/.f64 (/.f64 (sin.f64 x) x) x) |
(/ (sin x) (pow x 2)) |
(/.f64 (/.f64 (sin.f64 x) x) x) |
(/ (sin x) (pow x 2)) |
(/.f64 (/.f64 (sin.f64 x) x) x) |
(* -1 (pow x 3)) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(* -1 (pow x 3)) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(* -1 (pow x 3)) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(* -1 (pow x 3)) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (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 (/.f64 (sin.f64 x) (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 (/.f64 (sin.f64 x) (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 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(/ (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 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) 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 (cos x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.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)) |
(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 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) 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)) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* -1 (* x (cos x))) |
(*.f64 (neg.f64 (cos.f64 x)) x) |
(* -1 (* x (cos x))) |
(*.f64 (neg.f64 (cos.f64 x)) x) |
(* -1 (* x (cos x))) |
(*.f64 (neg.f64 (cos.f64 x)) x) |
(* -1 (* x (cos x))) |
(*.f64 (neg.f64 (cos.f64 x)) x) |
(* -1 (* x (- 1 (cos x)))) |
(fma.f64 (cos.f64 x) x (neg.f64 x)) |
(* -1 (* x (- 1 (cos x)))) |
(fma.f64 (cos.f64 x) x (neg.f64 x)) |
(* -1 (* x (- 1 (cos x)))) |
(fma.f64 (cos.f64 x) x (neg.f64 x)) |
(* -1 (* x (- 1 (cos x)))) |
(fma.f64 (cos.f64 x) x (neg.f64 x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ (sin x) (pow x 2)) |
(/.f64 (/.f64 (sin.f64 x) x) x) |
(/ (sin x) (pow x 2)) |
(/.f64 (/.f64 (sin.f64 x) x) x) |
(/ (sin x) (pow x 2)) |
(/.f64 (/.f64 (sin.f64 x) x) x) |
(/ (sin x) (pow x 2)) |
(/.f64 (/.f64 (sin.f64 x) x) x) |
(* -1 (pow x 3)) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(* -1 (pow x 3)) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(* -1 (pow x 3)) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(* -1 (pow x 3)) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
| 3 294× | lower-fma.f64 |
| 3 294× | lower-fma.f32 |
| 2 938× | lower-/.f32 |
| 2 924× | lower-/.f64 |
| 2 628× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 134 |
| 0 | 48 | 111 |
| 1 | 178 | 108 |
| 2 | 1311 | 99 |
| 0 | 9283 | 99 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(sin.f64 x) |
(*.f64 x x) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(*.f64 x (/.f64 (cos.f64 x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) |
(/.f64 (cos.f64 x) x) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) |
(-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) |
(neg.f64 x) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(*.f64 (*.f64 (neg.f64 x) x) x) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x))) (pow.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
(*.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)) (pow.f64 x #s(literal -2 binary64))) |
(*.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 x (/.f64 x (sin.f64 x)))))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (cos.f64 (*.f64 x #s(literal -1/2 binary64)))))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x))) |
(*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x #s(literal -2 binary64)) (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 (pow.f64 x #s(literal -2 binary64)) (sin.f64 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 (pow.f64 x #s(literal -2 binary64)) (sin.f64 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)))) (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) (*.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)))) (*.f64 (*.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 (pow.f64 x #s(literal -2 binary64)) (sin.f64 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) |
(/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (/.f64 x (sin.f64 x)))))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (cos.f64 (*.f64 x #s(literal -1/2 binary64)))))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (*.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 (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 (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 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 (*.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 (*.f64 x x) (cos.f64 (*.f64 x #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (/.f64 x (sin.f64 x))))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (cos.f64 (*.f64 x #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (tan.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))) (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) x) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 (neg.f64 x) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (/.f64 x (sin.f64 x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (cos.f64 (*.f64 x #s(literal -1/2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))) |
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 x x))) |
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (neg.f64 x) x))) |
(neg.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 x #s(literal -2 binary64))))) |
(neg.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 x #s(literal -2 binary64))) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x))) |
(*.f64 #s(literal 1 binary64) (sin.f64 x)) |
(*.f64 (sin.f64 x) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 (sin.f64 x))) |
(sin.f64 x) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))))) |
(/.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(/.f64 (*.f64 x x) #s(literal 1 binary64)) |
(neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))) |
(neg.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) |
(+.f64 #s(literal 0 binary64) (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.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)) (pow.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 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)) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.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)) (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 x) x x))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (neg.f64 (fma.f64 (cos.f64 x) x x)) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 x) x x))) |
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64))) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) (pow.f64 (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (neg.f64 (fma.f64 (cos.f64 x) x x)) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))) |
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(fma.f64 (neg.f64 (cos.f64 x)) (neg.f64 x) (neg.f64 x)) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (cos.f64 x) x)) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (neg.f64 (fma.f64 (cos.f64 x) x x)) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (neg.f64 (fma.f64 (cos.f64 x) x x)) (*.f64 x x))))) |
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (neg.f64 (cos.f64 x)) x) (neg.f64 x)) |
(fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64)) (*.f64 (cos.f64 x) x)) |
(fma.f64 (neg.f64 x) (neg.f64 (cos.f64 x)) (neg.f64 x)) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 (cos.f64 x) x)) |
(fma.f64 (cos.f64 x) (neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 x)) |
(fma.f64 (cos.f64 x) x (neg.f64 x)) |
(fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) x) (neg.f64 x)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 (cos.f64 x) x)) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 x) x x)) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (neg.f64 (fma.f64 (cos.f64 x) x x))))) |
(fma.f64 (*.f64 x x) (/.f64 (cos.f64 x) x) (neg.f64 x)) |
(fma.f64 x #s(literal -1 binary64) (*.f64 (cos.f64 x) x)) |
(fma.f64 x (cos.f64 x) (neg.f64 x)) |
(-.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (cos.f64 x) x x)) (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (neg.f64 (fma.f64 (cos.f64 x) x x)))) |
(-.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (neg.f64 (fma.f64 (cos.f64 x) x x)) (*.f64 x x))) (/.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (neg.f64 (fma.f64 (cos.f64 x) x x)) (*.f64 x x)))) |
(-.f64 (*.f64 (cos.f64 x) x) x) |
(-.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 x) (cos.f64 x) x)) |
(-.f64 (neg.f64 x) (*.f64 (neg.f64 x) (cos.f64 x))) |
(+.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (cos.f64 x) x x)) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (neg.f64 (fma.f64 (cos.f64 x) x x))))) |
(+.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (neg.f64 (fma.f64 (cos.f64 x) x x)) (*.f64 x x))) (neg.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (neg.f64 (fma.f64 (cos.f64 x) x x)) (*.f64 x x))))) |
(+.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) |
(+.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 x) x (neg.f64 x))) |
(+.f64 (neg.f64 x) (*.f64 (cos.f64 x) x)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 x)) |
(*.f64 x #s(literal -1 binary64)) |
(/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 (neg.f64 x) x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 x x) (neg.f64 x)) |
(neg.f64 x) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) x) x) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(*.f64 (pow.f64 (*.f64 x (/.f64 x (sin.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x (/.f64 x (sin.f64 x))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (sin.f64 x) x)) |
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x))) |
(*.f64 (sin.f64 x) (pow.f64 x #s(literal -2 binary64))) |
(pow.f64 (*.f64 x (/.f64 x (sin.f64 x))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (neg.f64 x)) |
(/.f64 (/.f64 (sin.f64 x) x) x) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x)))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (sin.f64 x)))) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (/.f64 x (sin.f64 x))))) |
(neg.f64 (/.f64 (/.f64 (sin.f64 x) x) (neg.f64 x))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 x #s(literal -2 binary64))))) |
(neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 x #s(literal -2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 x #s(literal -2 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 x #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x (sin.f64 x)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (neg.f64 x) x) x) |
(*.f64 (neg.f64 x) (*.f64 x x)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) (neg.f64 x)) |
(*.f64 x (*.f64 (neg.f64 x) x)) |
(pow.f64 (exp.f64 (log.f64 (neg.f64 x))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 9 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) |
(neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) |
(neg.f64 (pow.f64 x #s(literal 3 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) |
(+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64))) |
Compiled 28 543 to 2 741 computations (90.4% saved)
26 alts after pruning (23 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 490 | 20 | 1 510 |
| Fresh | 8 | 3 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 501 | 26 | 1 527 |
| Status | Accuracy | Program |
|---|---|---|
| 52.1% | (/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x #s(literal 1 binary64)) (*.f64 x x)) | |
| ▶ | 21.6% | (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
| 21.5% | (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| 52.1% | (/.f64 (fma.f64 (*.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x)) | |
| 46.2% | (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| ▶ | 51.3% | (/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x) |
| ✓ | 53.1% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| 75.5% | (/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) | |
| 25.8% | (/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) x) x) | |
| 51.3% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (fma.f64 (cos.f64 x) x (neg.f64 x)))) (*.f64 x x)) | |
| 51.7% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 x)))) (*.f64 x x)) | |
| 53.0% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) | |
| 46.2% | (/.f64 (-.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| ▶ | 2.8% | (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
| 28.3% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x)) | |
| ✓ | 51.7% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 27.9% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x)) | |
| ▶ | 99.8% | (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) |
| 53.1% | (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) x) | |
| 74.2% | (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) | |
| 52.5% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) | |
| 17.8% | (-.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))) | |
| 74.9% | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) | |
| 50.1% | #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))) | |
| ▶ | 49.4% | #s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
| ✓ | 50.5% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 620 to 387 computations (37.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (/.f64 (cos.f64 x) x) | |
| cost-diff | 1024 | (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) | |
| cost-diff | 6208 | (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (fma.f64 (neg.f64 x) (cos.f64 x) x) | |
| cost-diff | 0 | (/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x) | |
| cost-diff | 640 | (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 256 | (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) | |
| cost-diff | 1024 | (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) | |
| cost-diff | 6272 | (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) 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 | (sin.f64 x) | |
| cost-diff | 0 | (/.f64 (sin.f64 x) x) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) |
| 3 078× | lower-*.f32 |
| 3 066× | lower-*.f64 |
| 2 986× | lower-fma.f32 |
| 2 980× | lower-fma.f64 |
| 1 380× | lower-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 217 |
| 0 | 58 | 212 |
| 1 | 114 | 200 |
| 2 | 304 | 180 |
| 3 | 1592 | 173 |
| 4 | 4352 | 173 |
| 5 | 6232 | 173 |
| 6 | 7290 | 173 |
| 0 | 8003 | 173 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) |
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 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))) |
(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) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) |
(neg.f64 x) |
x |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) |
(*.f64 (neg.f64 x) x) |
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (neg.f64 x) x) x) |
(/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x) |
(/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) |
(fma.f64 (neg.f64 x) (cos.f64 x) x) |
(neg.f64 x) |
x |
(cos.f64 x) |
(*.f64 x x) |
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) |
(/.f64 (cos.f64 x) x) |
(cos.f64 x) |
x |
(*.f64 x x) |
(neg.f64 x) |
(*.f64 (*.f64 (neg.f64 x) x) x) |
(*.f64 (neg.f64 x) x) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 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))) |
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal -1/24 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) |
(fma.f64 #s(approx (cos x) #s(literal 1 binary64)) x (neg.f64 x)) |
(neg.f64 x) |
x |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) |
(*.f64 (neg.f64 x) x) |
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (neg.f64 x) x) x) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(fma.f64 (neg.f64 x) (cos.f64 x) x) |
(fma.f64 (cos.f64 x) (neg.f64 x) x) |
(neg.f64 x) |
x |
(cos.f64 x) |
(*.f64 x x) |
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) |
(fma.f64 (cos.f64 x) x (neg.f64 x)) |
(/.f64 (cos.f64 x) x) |
(cos.f64 x) |
x |
(*.f64 x x) |
(neg.f64 x) |
(*.f64 (*.f64 (neg.f64 x) x) x) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(*.f64 (neg.f64 x) x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.13671875 | (/.f64 (cos.f64 x) x) | |
| accuracy | 0.13671875 | (*.f64 (*.f64 (neg.f64 x) x) x) | |
| accuracy | 22.37393032440049 | (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| accuracy | 45.43897197208891 | (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) | |
| accuracy | 0 | (cos.f64 x) | |
| accuracy | 0.05859375 | (/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x) | |
| accuracy | 11.389239489811677 | (fma.f64 (neg.f64 x) (cos.f64 x) x) | |
| accuracy | 34.572000660409564 | (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) | |
| accuracy | 11.423199324701423 | (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) | |
| accuracy | 22.37393032440049 | (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| accuracy | 29.107064158401887 | #s(approx (cos x) #s(literal 1 binary64)) | |
| accuracy | 30.86305533456764 | (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.0859375 | (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 32.35315812185696 | #s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) | |
| accuracy | 0.0078125 | (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) | |
| accuracy | 0.05859375 | (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) | |
| accuracy | 0.1328125 | (/.f64 (sin.f64 x) x) | |
| accuracy | 0.21409123016428752 | (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
| 92.0ms | 60× | 2 | valid |
| 55.0ms | 19× | 3 | valid |
| 45.0ms | 134× | 0 | valid |
| 29.0ms | 43× | 1 | valid |
Compiled 208 to 33 computations (84.1% saved)
ival-div: 55.0ms (36.5% of total)ival-mult: 30.0ms (19.9% of total)ival-cos: 26.0ms (17.3% of total)adjust: 13.0ms (8.6% of total)ival-add: 6.0ms (4% of total)ival-sin: 6.0ms (4% of total)ival-sub: 5.0ms (3.3% of total)ival-tan: 5.0ms (3.3% of total)const: 4.0ms (2.7% of total)ival-neg: 1.0ms (0.7% 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 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) (patch (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (patch (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.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) (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 (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) (patch (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (patch (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) (patch (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x) (patch (/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 x) (cos.f64 x) x) (patch (fma.f64 (neg.f64 x) (cos.f64 x) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (patch (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 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 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #<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 (*.f64 (neg.f64 x) x) x) (patch (*.f64 (*.f64 (neg.f64 x) x) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) (patch (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) (patch (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) 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 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) (patch (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) 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 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) (patch (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (patch (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (patch (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (patch (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 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) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (patch (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/6 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) (taylor 0 x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) (taylor 0 x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) 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 1/2 (taylor 0 x) (#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 (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#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 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (taylor 0 x) (#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 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (taylor 0 x) (#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 1/2 (taylor 0 x) (#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 (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#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 (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#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 (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#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 (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 1/2 (taylor 0 x) (#s(alt (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 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 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 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 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) (patch (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 1/2 (pow x 2)) 1)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) (patch (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) (patch (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) (taylor -inf x) (#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 (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 (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (cos x))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) (patch (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (cos x))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) (patch (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (cos x))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) (patch (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (cos x))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) (patch (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (cos x)))) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (patch (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (cos x)))) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (patch (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (cos x)))) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (patch (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (cos x)))) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (patch (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (cos x) 1) x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) (patch (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (cos x) 1) x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) (patch (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (cos x) 1) x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) (patch (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (cos x) 1) x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) (patch (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (cos x) 1) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x) (patch (/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (cos x) 1) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x) (patch (/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (cos x) 1) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x) (patch (/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (cos x) 1) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x) (patch (/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (cos x) 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) (cos.f64 x) x) (patch (fma.f64 (neg.f64 x) (cos.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (cos x) 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) (cos.f64 x) x) (patch (fma.f64 (neg.f64 x) (cos.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (cos x) 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) (cos.f64 x) x) (patch (fma.f64 (neg.f64 x) (cos.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (cos x) 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) (cos.f64 x) x) (patch (fma.f64 (neg.f64 x) (cos.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (cos x))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (patch (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (cos x))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (patch (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (cos x))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (patch (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (cos x))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (patch (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos x) x) (taylor -inf x) (#s(alt (/.f64 (cos.f64 x) x) (patch (/.f64 (cos.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos x) x) (taylor -inf x) (#s(alt (/.f64 (cos.f64 x) x) (patch (/.f64 (cos.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos x) x) (taylor -inf x) (#s(alt (/.f64 (cos.f64 x) x) (patch (/.f64 (cos.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos x) x) (taylor -inf x) (#s(alt (/.f64 (cos.f64 x) x) (patch (/.f64 (cos.f64 x) 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 (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#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 (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#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 (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#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 (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#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 (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) x) (patch (*.f64 (*.f64 (neg.f64 x) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) x) (patch (*.f64 (*.f64 (neg.f64 x) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) x) (patch (*.f64 (*.f64 (neg.f64 x) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) x) (patch (*.f64 (*.f64 (neg.f64 x) x) x) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((/ (* (/ (sin x) x) (tan (* 1/2 x))) x) (* (/ (sin x) x) (tan (* 1/2 x))) (/ (sin x) x) (sin x) (/ (/ (- 1 (cos x)) x) x) (+ (* (* x x) -1/24) 1/2) (* x x) (/ (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x)) (* (* (neg x) x) (/ (cos x) x)) (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (neg x) (/ (+ (* (neg x) (cos x)) x) (* x x)) (/ (/ (+ (* (neg x) (cos x)) x) (* x x)) x) (+ (* (neg x) (cos x)) x) (/ (+ (* (/ (cos x) x) (* x x)) (neg x)) (* (* (neg x) x) x)) (+ (* (/ (cos x) x) (* x x)) (neg x)) (/ (cos x) x) (cos x) (tan (* 1/2 x)) (cos x) (* (* (neg x) x) x)) |
| 4.0ms | x | @ | inf | ((/ (* (/ (sin x) x) (tan (* 1/2 x))) x) (* (/ (sin x) x) (tan (* 1/2 x))) (/ (sin x) x) (sin x) (/ (/ (- 1 (cos x)) x) x) (+ (* (* x x) -1/24) 1/2) (* x x) (/ (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x)) (* (* (neg x) x) (/ (cos x) x)) (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (neg x) (/ (+ (* (neg x) (cos x)) x) (* x x)) (/ (/ (+ (* (neg x) (cos x)) x) (* x x)) x) (+ (* (neg x) (cos x)) x) (/ (+ (* (/ (cos x) x) (* x x)) (neg x)) (* (* (neg x) x) x)) (+ (* (/ (cos x) x) (* x x)) (neg x)) (/ (cos x) x) (cos x) (tan (* 1/2 x)) (cos x) (* (* (neg x) x) x)) |
| 2.0ms | x | @ | 0 | ((/ (* (/ (sin x) x) (tan (* 1/2 x))) x) (* (/ (sin x) x) (tan (* 1/2 x))) (/ (sin x) x) (sin x) (/ (/ (- 1 (cos x)) x) x) (+ (* (* x x) -1/24) 1/2) (* x x) (/ (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x)) (* (* (neg x) x) (/ (cos x) x)) (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (neg x) (/ (+ (* (neg x) (cos x)) x) (* x x)) (/ (/ (+ (* (neg x) (cos x)) x) (* x x)) x) (+ (* (neg x) (cos x)) x) (/ (+ (* (/ (cos x) x) (* x x)) (neg x)) (* (* (neg x) x) x)) (+ (* (/ (cos x) x) (* x x)) (neg x)) (/ (cos x) x) (cos x) (tan (* 1/2 x)) (cos x) (* (* (neg x) x) x)) |
| 1× | egg-herbie |
| 15 160× | lower-fma.f64 |
| 15 160× | lower-fma.f32 |
| 4 440× | lower-*.f64 |
| 4 440× | lower-*.f32 |
| 3 084× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 1883 |
| 1 | 395 | 1874 |
| 2 | 990 | 1855 |
| 3 | 2770 | 1855 |
| 4 | 4748 | 1855 |
| 0 | 8396 | 1747 |
| 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))) |
(* 1/2 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 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
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)))) |
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))) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* -1/24 (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 x) |
(* 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)) |
(* -1/2 (pow x 3)) |
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
1/2 |
(+ 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))) |
(* 1/2 (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)))) |
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))) |
(* -1/2 (pow x 3)) |
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(/ 1 x) |
(/ (+ 1 (* -1/2 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x) |
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))) |
(* 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)))))))) |
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))) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(/ (* (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))) (* x (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(* -1/24 (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) |
(/ (+ 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 (cos x))) |
(* -1 (* x (cos x))) |
(* -1 (* x (cos x))) |
(* -1 (* x (cos x))) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (+ 1 (* -1 (cos x))) x) |
(/ (+ 1 (* -1 (cos x))) x) |
(/ (+ 1 (* -1 (cos x))) x) |
(/ (+ 1 (* -1 (cos x))) x) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(* x (+ 1 (* -1 (cos x)))) |
(* x (+ 1 (* -1 (cos x)))) |
(* x (+ 1 (* -1 (cos x)))) |
(* x (+ 1 (* -1 (cos x)))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* x (- (cos x) 1)) |
(* x (- (cos x) 1)) |
(* x (- (cos x) 1)) |
(* x (- (cos x) 1)) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(cos x) |
(cos x) |
(cos x) |
(cos 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))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(/ (* (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))) (* x (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(* -1/24 (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) |
(/ (- 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 (* x (cos x))) |
(* -1 (* x (cos x))) |
(* -1 (* x (cos x))) |
(* -1 (* x (cos x))) |
(* -1 (* x (- 1 (cos x)))) |
(* -1 (* x (- 1 (cos x)))) |
(* -1 (* x (- 1 (cos x)))) |
(* -1 (* x (- 1 (cos x)))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 (/ (- (cos x) 1) x)) |
(* -1 (/ (- (cos x) 1) x)) |
(* -1 (/ (- (cos x) 1) x)) |
(* -1 (/ (- (cos x) 1) x)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (* x (- (cos x) 1))) |
(* -1 (* x (- (cos x) 1))) |
(* -1 (* x (- (cos x) 1))) |
(* -1 (* x (- (cos x) 1))) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(cos x) |
(cos x) |
(cos x) |
(cos 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))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
| Outputs |
|---|
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 (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)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #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 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow x 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(fma.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)) (*.f64 x x) #s(literal 1 binary64)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (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) |
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 (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)) |
1/2 |
#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 (* -1/24 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #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)) |
(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 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 (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 x) |
(neg.f64 x) |
(* x (- (* 1/2 (pow x 2)) 1)) |
(neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64) x)) |
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)) |
(neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) |
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)) |
(neg.f64 (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)) (pow.f64 x #s(literal 3 binary64)) x)) |
(* -1/2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(*.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)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(*.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)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #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) |
1/2 |
#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 (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)) |
(* 1/2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (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))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (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))) |
1/2 |
#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 (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)) |
(* -1/2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(*.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)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(*.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)) (pow.f64 x #s(literal 3 binary64))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1/2 (pow x 2))) x) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x) |
(/.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)) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x) |
(/.f64 (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)) x) |
1 |
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(cos.f64 x) |
(* -1 (pow x 3)) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(* -1 (pow x 3)) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(* -1 (pow x 3)) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(* -1 (pow x 3)) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
| 4 832× | lower-/.f32 |
| 4 816× | lower-/.f64 |
| 4 568× | lower-fma.f32 |
| 4 562× | lower-fma.f64 |
| 3 522× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 173 |
| 0 | 58 | 164 |
| 1 | 232 | 154 |
| 2 | 1792 | 146 |
| 0 | 8772 | 144 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) |
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (sin.f64 x) x) |
(sin.f64 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) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) |
(-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) |
(neg.f64 x) |
(/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x) |
(fma.f64 (neg.f64 x) (cos.f64 x) x) |
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) |
(/.f64 (cos.f64 x) x) |
(cos.f64 x) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (cos x) #s(literal 1 binary64)) |
(*.f64 (*.f64 (neg.f64 x) x) x) |
| Outputs |
|---|
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) |
(*.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 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x))) |
(*.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 (sin.f64 x) x) x))) |
(*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sin.f64 x)) x))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))) |
(pow.f64 (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) (neg.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x x)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (*.f64 (/.f64 x (sin.f64 x)) x))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) (/.f64 x (sin.f64 x))) |
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (*.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) x) |
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 x (sin.f64 x)) x)) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)) |
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -1 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 #s(literal 1/2 binary64) x)) (neg.f64 x)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 x (sin.f64 x))))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) x))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) |
(pow.f64 (/.f64 x (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x)))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) (neg.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))) (neg.f64 (neg.f64 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 #s(literal 1/2 binary64) x)) (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 x (sin.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) x))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (*.f64 (neg.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) (neg.f64 x)) |
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 x (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (neg.f64 x)) |
(/.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (neg.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))) |
(/.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sin.f64 x)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 x (sin.f64 x))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) x) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
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(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) x)) |
(pow.f64 (/.f64 x (cos.f64 x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 x)))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) x) |
(/.f64 (neg.f64 (neg.f64 (cos.f64 x))) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (cos.f64 x)))) |
(/.f64 (neg.f64 (cos.f64 x)) (neg.f64 x)) |
(/.f64 (cos.f64 x) (*.f64 x #s(literal 1 binary64))) |
(/.f64 (cos.f64 x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (cos.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 x))) |
(neg.f64 (/.f64 (cos.f64 x) (neg.f64 x))) |
(neg.f64 (/.f64 (neg.f64 (cos.f64 x)) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (cos.f64 x) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (cos.f64 x))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 (cos.f64 x)) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) |
(*.f64 (*.f64 (cos.f64 x) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (cos.f64 x) x) x) |
(*.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 x)) |
(*.f64 x (/.f64 (cos.f64 x) x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (cos.f64 x)) x)) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 x (cos.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) x) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 x (cos.f64 x))) |
(/.f64 (*.f64 (cos.f64 x) x) x) |
(/.f64 (*.f64 (cos.f64 x) (neg.f64 x)) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 (cos.f64 x)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (cos.f64 x)) (*.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (cos.f64 x) x))) |
(/.f64 x (/.f64 x (cos.f64 x))) |
(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 #s(literal 1/2 binary64) x))))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(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 #s(literal 1/2 binary64) x))))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.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 #s(literal 1/2 binary64) x))) |
(/.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)))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (cos x) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (neg.f64 (neg.f64 x)) (*.f64 x x)) |
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) |
(*.f64 (*.f64 (neg.f64 x) x) x) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) |
(*.f64 (neg.f64 x) (*.f64 x x)) |
(*.f64 (*.f64 x x) (neg.f64 x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 (neg.f64 x) x)) |
(*.f64 x (*.f64 x x)) |
(pow.f64 (exp.f64 (log.f64 (neg.f64 x))) #s(literal 3 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 9 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) |
(neg.f64 (pow.f64 x #s(literal 3 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
Compiled 36 988 to 3 713 computations (90% saved)
42 alts after pruning (35 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 739 | 18 | 1 757 |
| Fresh | 1 | 17 | 18 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 741 | 42 | 1 783 |
| Status | Accuracy | Program |
|---|---|---|
| 52.1% | (/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x #s(literal 1 binary64)) (*.f64 x x)) | |
| ✓ | 21.6% | (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
| 3.5% | (/.f64 (fma.f64 (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| 3.4% | (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| 21.5% | (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| 52.1% | (/.f64 (fma.f64 (*.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x)) | |
| ▶ | 46.2% | (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
| 3.5% | (/.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (*.f64 (neg.f64 x) x)) | |
| 2.5% | (/.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (*.f64 x x)) | |
| ✓ | 51.3% | (/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x) |
| 2.7% | (/.f64 (/.f64 (fma.f64 (neg.f64 x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (*.f64 x x)) x) | |
| ✓ | 53.1% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| ▶ | 75.5% | (/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) |
| 25.8% | (/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) x) x) | |
| 51.3% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (fma.f64 (cos.f64 x) x (neg.f64 x)))) (*.f64 x x)) | |
| 51.7% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 x)))) (*.f64 x x)) | |
| 53.0% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) | |
| 46.2% | (/.f64 (-.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| 2.6% | (/.f64 (-.f64 (neg.f64 x) (/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) x)) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| ▶ | 2.7% | (/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
| 5.8% | (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (neg.f64 x)) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| 2.8% | (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) x))) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| 2.1% | (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 x x) x)) | |
| 28.3% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x)) | |
| ✓ | 51.7% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ▶ | 27.9% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x)) |
| ▶ | 2.8% | (/.f64 (+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
| 28.2% | (/.f64 (+.f64 (neg.f64 x) (*.f64 x (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| ✓ | 99.8% | (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) |
| 53.1% | (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) x) | |
| 74.2% | (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) | |
| 2.4% | (/.f64 (neg.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| 3.5% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x))) | |
| 2.5% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x))) | |
| 52.5% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) | |
| 51.5% | (-.f64 (/.f64 (/.f64 (*.f64 (cos.f64 x) x) (*.f64 (neg.f64 x) x)) x) (/.f64 (/.f64 x (*.f64 (neg.f64 x) x)) x)) | |
| 3.5% | (*.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) | |
| 74.9% | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) | |
| 51.7% | (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) | |
| 50.1% | #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))) | |
| ✓ | 49.4% | #s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
| ✓ | 50.5% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 1 163 to 715 computations (38.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (fma.f64 (cos.f64 x) x (neg.f64 x)) | |
| cost-diff | 6208 | (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| cost-diff | 64 | (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) | |
| cost-diff | 256 | (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) | |
| cost-diff | 1664 | (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))) | |
| cost-diff | 6208 | (/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) | |
| cost-diff | 128 | (+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) | |
| cost-diff | 1024 | (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) | |
| cost-diff | 6208 | (/.f64 (+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| cost-diff | -384 | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) | |
| 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)) x) | |
| cost-diff | 0 | (/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) |
| 3 324× | lower-fma.f32 |
| 3 322× | lower-fma.f64 |
| 2 228× | lower-*.f32 |
| 2 214× | lower-*.f64 |
| 1 632× | lower-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 269 |
| 0 | 57 | 257 |
| 1 | 109 | 257 |
| 2 | 289 | 219 |
| 3 | 1677 | 197 |
| 4 | 5458 | 197 |
| 5 | 7453 | 197 |
| 0 | 8039 | 197 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) |
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.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 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
#s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(/.f64 (+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) |
(*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) |
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
(*.f64 x x) |
(neg.f64 x) |
(*.f64 (*.f64 (neg.f64 x) x) x) |
(*.f64 (neg.f64 x) x) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) |
(neg.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))) |
#s(literal 1 binary64) |
(/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) |
#s(approx (cos x) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) x) |
(*.f64 (*.f64 (neg.f64 x) x) x) |
(/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(fma.f64 (cos.f64 x) x (neg.f64 x)) |
(cos.f64 x) |
x |
(neg.f64 x) |
(*.f64 (*.f64 (neg.f64 x) x) x) |
(*.f64 (neg.f64 x) x) |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) |
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.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 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) x) x) |
(-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
#s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(/.f64 (+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) x) x) |
(+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) |
(*.f64 (-.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) |
(*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) |
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) |
(/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
(*.f64 x x) |
(neg.f64 x) |
(*.f64 (*.f64 (neg.f64 x) x) x) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(*.f64 (neg.f64 x) x) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) x) x) |
(-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) |
(*.f64 (-.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(neg.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))) |
(*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) (neg.f64 x)) |
#s(literal 1 binary64) |
(/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) |
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) x) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) |
(*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) x) |
(*.f64 (*.f64 (neg.f64 x) x) x) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(fma.f64 (cos.f64 x) x (neg.f64 x)) |
(cos.f64 x) |
x |
(neg.f64 x) |
(*.f64 (*.f64 (neg.f64 x) x) x) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(*.f64 (neg.f64 x) x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 x) | |
| accuracy | 0.13671875 | (*.f64 (*.f64 (neg.f64 x) x) x) | |
| accuracy | 11.389239489811677 | (fma.f64 (cos.f64 x) x (neg.f64 x)) | |
| accuracy | 22.37393032440049 | (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| accuracy | 11.423199324701423 | (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) | |
| accuracy | 22.37393032440049 | (/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| accuracy | 29.107064158401887 | #s(approx (cos x) #s(literal 1 binary64)) | |
| accuracy | 30.810288756084006 | (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) | |
| accuracy | 11.423199324701423 | (+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) | |
| accuracy | 22.37393032440049 | (/.f64 (+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| accuracy | 29.107064158401887 | #s(approx (cos x) #s(literal 1 binary64)) | |
| accuracy | 30.86305533456764 | (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 14.321830272143712 | (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) | |
| accuracy | 16.023967460322588 | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x)) | |
| accuracy | 29.107064158401887 | #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) | |
| accuracy | 0.05859375 | (/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) | |
| accuracy | 0.21484375 | (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) | |
| accuracy | 15.094085875060214 | (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) |
| 56.0ms | 60× | 2 | valid |
| 46.0ms | 134× | 0 | valid |
| 27.0ms | 19× | 3 | valid |
| 21.0ms | 43× | 1 | valid |
Compiled 245 to 31 computations (87.3% saved)
ival-div: 36.0ms (32% of total)ival-cos: 28.0ms (24.9% of total)ival-mult: 19.0ms (16.9% of total)adjust: 9.0ms (8% of total)ival-tan: 6.0ms (5.3% of total)ival-sin: 5.0ms (4.4% of total)ival-sub: 4.0ms (3.6% of total)ival-add: 4.0ms (3.6% of total)ival-neg: 1.0ms (0.9% 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 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) (patch (/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) (patch (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.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 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (patch (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) (patch #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (patch (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) (patch (+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (patch (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) (*.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) (patch (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) (patch (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (cos.f64 x) x (neg.f64 x)) (patch (fma.f64 (cos.f64 x) x (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<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 (*.f64 (neg.f64 x) x) x) (patch (*.f64 (*.f64 (neg.f64 x) x) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) (patch (/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) (patch (/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 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 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) (patch (/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 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 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) (patch (/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) (patch (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 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)) x) (patch (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 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)) x) (patch (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 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)) x) (patch (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.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>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#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 (* x (+ 1/2 (* 1/24 (pow x 2)))) (taylor 0 x) (#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 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) (taylor 0 x) (#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 (* 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 #s(literal 1/2 binary64) x)) (patch (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (patch (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (patch (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) #<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) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (patch (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) #<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) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (patch (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) (patch #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) (patch #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) (patch #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) #<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 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) (patch #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) #<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 1/2 (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- 1 (cos x)))) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) (patch (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (cos x)))) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) (patch (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* x (cos x))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) (patch (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* x (cos x))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) (patch (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* x (cos x))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) (patch (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* x (cos x))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) (patch (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (cos x))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 x) x (neg.f64 x)) (patch (fma.f64 (cos.f64 x) x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (cos x))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 x) x (neg.f64 x)) (patch (fma.f64 (cos.f64 x) x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (cos x))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 x) x (neg.f64 x)) (patch (fma.f64 (cos.f64 x) x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (cos x))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 x) x (neg.f64 x)) (patch (fma.f64 (cos.f64 x) x (neg.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 (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) x) (patch (*.f64 (*.f64 (neg.f64 x) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) x) (patch (*.f64 (*.f64 (neg.f64 x) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) x) (patch (*.f64 (*.f64 (neg.f64 x) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) x) (patch (*.f64 (*.f64 (neg.f64 x) x) x) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | x | @ | -inf | ((/ (/ (* (tan (* 1/2 x)) (sin x)) x) x) (/ (* (tan (* 1/2 x)) (sin x)) x) (* (tan (* 1/2 x)) (sin x)) (tan (* 1/2 x)) (- 1 (* x (/ (cos x) x))) (* x (/ (cos x) x)) (* x x) (/ (- 1 (* x (/ (cos x) x))) (* x x)) (/ (+ (* (/ (cos x) x) (* x x)) (neg x)) (* (* (neg x) x) x)) (* (/ (cos x) x) (* x x)) (+ (* (/ (cos x) x) (* x x)) (neg x)) (/ (cos x) x) (/ (- (neg x) (/ 1 (/ x (* (cos x) (* (neg x) x))))) (* (* (neg x) x) x)) (/ 1 (/ x (* (cos x) (* (neg x) x)))) (- (neg x) (/ 1 (/ x (* (cos x) (* (neg x) x))))) (/ x (* (cos x) (* (neg x) x))) (/ (+ (* (cos x) x) (neg x)) (* (* (neg x) x) x)) (+ (* (cos x) x) (neg x)) (cos x) (neg x) (cos x) (* (* (neg x) x) x)) |
| 3.0ms | x | @ | inf | ((/ (/ (* (tan (* 1/2 x)) (sin x)) x) x) (/ (* (tan (* 1/2 x)) (sin x)) x) (* (tan (* 1/2 x)) (sin x)) (tan (* 1/2 x)) (- 1 (* x (/ (cos x) x))) (* x (/ (cos x) x)) (* x x) (/ (- 1 (* x (/ (cos x) x))) (* x x)) (/ (+ (* (/ (cos x) x) (* x x)) (neg x)) (* (* (neg x) x) x)) (* (/ (cos x) x) (* x x)) (+ (* (/ (cos x) x) (* x x)) (neg x)) (/ (cos x) x) (/ (- (neg x) (/ 1 (/ x (* (cos x) (* (neg x) x))))) (* (* (neg x) x) x)) (/ 1 (/ x (* (cos x) (* (neg x) x)))) (- (neg x) (/ 1 (/ x (* (cos x) (* (neg x) x))))) (/ x (* (cos x) (* (neg x) x))) (/ (+ (* (cos x) x) (neg x)) (* (* (neg x) x) x)) (+ (* (cos x) x) (neg x)) (cos x) (neg x) (cos x) (* (* (neg x) x) x)) |
| 1.0ms | x | @ | 0 | ((/ (/ (* (tan (* 1/2 x)) (sin x)) x) x) (/ (* (tan (* 1/2 x)) (sin x)) x) (* (tan (* 1/2 x)) (sin x)) (tan (* 1/2 x)) (- 1 (* x (/ (cos x) x))) (* x (/ (cos x) x)) (* x x) (/ (- 1 (* x (/ (cos x) x))) (* x x)) (/ (+ (* (/ (cos x) x) (* x x)) (neg x)) (* (* (neg x) x) x)) (* (/ (cos x) x) (* x x)) (+ (* (/ (cos x) x) (* x x)) (neg x)) (/ (cos x) x) (/ (- (neg x) (/ 1 (/ x (* (cos x) (* (neg x) x))))) (* (* (neg x) x) x)) (/ 1 (/ x (* (cos x) (* (neg x) x)))) (- (neg x) (/ 1 (/ x (* (cos x) (* (neg x) x))))) (/ x (* (cos x) (* (neg x) x))) (/ (+ (* (cos x) x) (neg x)) (* (* (neg x) x) x)) (+ (* (cos x) x) (neg x)) (cos x) (neg x) (cos x) (* (* (neg x) x) x)) |
| 1× | egg-herbie |
| 15 426× | lower-fma.f64 |
| 15 426× | lower-fma.f32 |
| 4 762× | lower-*.f64 |
| 4 762× | lower-*.f32 |
| 3 512× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 134 | 2033 |
| 1 | 366 | 2027 |
| 2 | 888 | 2021 |
| 3 | 2609 | 2015 |
| 4 | 5095 | 2015 |
| 0 | 8351 | 1904 |
| 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))) |
(* 1/2 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)))) |
(* 1/2 (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)))) |
(* 1/2 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)))))))) |
(* 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 (* -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))) |
(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))) |
1/2 |
(+ 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))) |
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)))) |
(* -1/2 (pow x 3)) |
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(/ 1 x) |
(/ (+ 1 (* -1/2 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x) |
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 x) |
(* 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)) |
(* -1/2 (pow x 3)) |
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(/ -1 x) |
(/ (- (* -1/2 (pow x 2)) 1) x) |
(/ (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -61/720 (pow x 2)) 5/24)) 1/2)) 1) 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))) |
(* -1/2 (pow x 3)) |
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 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))) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(/ (* (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))) (* x (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* 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 (* 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 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(pow x 2) |
(pow x 2) |
(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) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (- (cos x) 1)) |
(* x (- (cos x) 1)) |
(* x (- (cos x) 1)) |
(* x (- (cos x) 1)) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (+ 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 (cos x))) |
(* -1 (* x (cos x))) |
(* -1 (* x (cos x))) |
(* -1 (* x (cos x))) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(/ -1 (* x (cos x))) |
(/ -1 (* x (cos x))) |
(/ -1 (* x (cos x))) |
(/ -1 (* x (cos x))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* x (- (cos x) 1)) |
(* x (- (cos x) 1)) |
(* x (- (cos x) 1)) |
(* x (- (cos x) 1)) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(/ (* (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))) (* x (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* 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 (* 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 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(pow x 2) |
(pow x 2) |
(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 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (- 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 (* x (cos x))) |
(* -1 (* x (cos x))) |
(* -1 (* x (cos x))) |
(* -1 (* x (cos x))) |
(* -1 (* x (- 1 (cos x)))) |
(* -1 (* x (- 1 (cos x)))) |
(* -1 (* x (- 1 (cos x)))) |
(* -1 (* x (- 1 (cos x)))) |
(/ -1 (* x (cos x))) |
(/ -1 (* x (cos x))) |
(/ -1 (* x (cos x))) |
(/ -1 (* x (cos x))) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
| Outputs |
|---|
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 (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)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #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) |
(* 1/2 (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 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 (*.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) |
(* 1/2 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 #s(literal 1/240 binary64) (*.f64 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 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) 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 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 (*.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 |
#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 (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)) |
(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 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 (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)) |
1/2 |
#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 (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 (* -1/2 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (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) |
(* -1/2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (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))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(*.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)) (pow.f64 x #s(literal 3 binary64))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1/2 (pow x 2))) x) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x) |
(/.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)) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x) |
(/.f64 (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)) 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 (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 x) |
(neg.f64 x) |
(* x (- (* 1/2 (pow x 2)) 1)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64) (neg.f64 x)) |
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (neg.f64 x)) |
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (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)) (neg.f64 x)) |
(* -1/2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (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))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(*.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)) (pow.f64 x #s(literal 3 binary64))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (* -1/2 (pow x 2)) 1) x) |
(fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) x)) |
(/ (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1) x) |
(fma.f64 (fma.f64 #s(literal -5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal -1 binary64) x)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -61/720 (pow x 2)) 5/24)) 1/2)) 1) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal -5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal -1 binary64) 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 (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)) |
(* -1/2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (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))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(*.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)) (pow.f64 x #s(literal 3 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 (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 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.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 (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 (pow x 3)) |
(neg.f64 (pow.f64 x #s(literal 3 binary64))) |
(* -1 (pow x 3)) |
(neg.f64 (pow.f64 x #s(literal 3 binary64))) |
(* -1 (pow x 3)) |
(neg.f64 (pow.f64 x #s(literal 3 binary64))) |
(* -1 (pow x 3)) |
(neg.f64 (pow.f64 x #s(literal 3 binary64))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (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 (/.f64 (sin.f64 x) (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 (/.f64 (sin.f64 x) (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 (/.f64 (sin.f64 x) (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))) (* x (cos (* 1/2 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 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))) (* x (cos (* 1/2 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 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))) (* x (cos (* 1/2 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 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))) (* x (cos (* 1/2 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 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 (* 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 (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)) |
(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) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.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) 1)) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(* x (- (cos x) 1)) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(* x (- (cos x) 1)) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(* x (- (cos x) 1)) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* -1 (* x (cos x))) |
(*.f64 (neg.f64 (cos.f64 x)) x) |
(* -1 (* x (cos x))) |
(*.f64 (neg.f64 (cos.f64 x)) x) |
(* -1 (* x (cos x))) |
(*.f64 (neg.f64 (cos.f64 x)) x) |
(* -1 (* x (cos x))) |
(*.f64 (neg.f64 (cos.f64 x)) x) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(/ -1 (* x (cos x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 x) x)) |
(/ -1 (* x (cos x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 x) x)) |
(/ -1 (* x (cos x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 x) x)) |
(/ -1 (* x (cos x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 x) x)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* x (- (cos x) 1)) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(* x (- (cos x) 1)) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(* x (- (cos x) 1)) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(* x (- (cos x) 1)) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(* -1 (pow x 3)) |
(neg.f64 (pow.f64 x #s(literal 3 binary64))) |
(* -1 (pow x 3)) |
(neg.f64 (pow.f64 x #s(literal 3 binary64))) |
(* -1 (pow x 3)) |
(neg.f64 (pow.f64 x #s(literal 3 binary64))) |
(* -1 (pow x 3)) |
(neg.f64 (pow.f64 x #s(literal 3 binary64))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (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 (/.f64 (sin.f64 x) (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 (/.f64 (sin.f64 x) (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 (/.f64 (sin.f64 x) (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))) (* x (cos (* 1/2 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 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))) (* x (cos (* 1/2 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 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))) (* x (cos (* 1/2 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 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))) (* x (cos (* 1/2 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 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 (* 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 (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)) |
(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) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.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) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* -1 (* x (cos x))) |
(*.f64 (neg.f64 (cos.f64 x)) x) |
(* -1 (* x (cos x))) |
(*.f64 (neg.f64 (cos.f64 x)) x) |
(* -1 (* x (cos x))) |
(*.f64 (neg.f64 (cos.f64 x)) x) |
(* -1 (* x (cos x))) |
(*.f64 (neg.f64 (cos.f64 x)) x) |
(* -1 (* x (- 1 (cos x)))) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(* -1 (* x (- 1 (cos x)))) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(* -1 (* x (- 1 (cos x)))) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(* -1 (* x (- 1 (cos x)))) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(/ -1 (* x (cos x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 x) x)) |
(/ -1 (* x (cos x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 x) x)) |
(/ -1 (* x (cos x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 x) x)) |
(/ -1 (* x (cos x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 x) x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(* -1 (pow x 3)) |
(neg.f64 (pow.f64 x #s(literal 3 binary64))) |
(* -1 (pow x 3)) |
(neg.f64 (pow.f64 x #s(literal 3 binary64))) |
(* -1 (pow x 3)) |
(neg.f64 (pow.f64 x #s(literal 3 binary64))) |
(* -1 (pow x 3)) |
(neg.f64 (pow.f64 x #s(literal 3 binary64))) |
| 4 278× | lower-/.f32 |
| 4 262× | lower-/.f64 |
| 4 014× | lower-fma.f32 |
| 4 012× | lower-fma.f64 |
| 3 066× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 211 |
| 0 | 57 | 195 |
| 1 | 214 | 189 |
| 2 | 1639 | 144 |
| 0 | 9226 | 144 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) |
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.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 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) |
#s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) |
(*.f64 x x) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) |
(+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) |
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))) |
(-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) |
(/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) |
(/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(fma.f64 (cos.f64 x) x (neg.f64 x)) |
(cos.f64 x) |
(neg.f64 x) |
#s(approx (cos x) #s(literal 1 binary64)) |
(*.f64 (*.f64 (neg.f64 x) x) x) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (neg.f64 x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 x))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 x) (pow.f64 x #s(literal -2 binary64)))) |
(pow.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (sin.f64 x))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
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(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (neg.f64 x) x) x) |
(*.f64 (neg.f64 x) (*.f64 x x)) |
(*.f64 (*.f64 x x) (neg.f64 x)) |
(*.f64 x (*.f64 (neg.f64 x) x)) |
(pow.f64 (exp.f64 (log.f64 (neg.f64 x))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 9 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) |
(neg.f64 (pow.f64 x #s(literal 3 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) |
(+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64))) |
Compiled 42 512 to 3 510 computations (91.7% saved)
43 alts after pruning (32 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 972 | 12 | 1 984 |
| Fresh | 10 | 20 | 30 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 7 | 7 |
| Total | 1 983 | 43 | 2 026 |
| Status | Accuracy | Program |
|---|---|---|
| 28.7% | (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x))) | |
| 28.1% | (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x))) | |
| 52.1% | (/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x #s(literal 1 binary64)) (*.f64 x x)) | |
| ✓ | 21.6% | (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
| 3.4% | (/.f64 (fma.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| 21.5% | (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| 52.1% | (/.f64 (fma.f64 (*.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x)) | |
| ✓ | 46.2% | (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
| 3.5% | (/.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (*.f64 (neg.f64 x) x)) | |
| 2.5% | (/.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (*.f64 x x)) | |
| ✓ | 51.3% | (/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x) |
| 2.7% | (/.f64 (/.f64 (fma.f64 (neg.f64 x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (*.f64 x x)) x) | |
| 51.3% | (/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (*.f64 x x)) | |
| ✓ | 53.1% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| ✓ | 75.5% | (/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) |
| 25.8% | (/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) x) x) | |
| 51.3% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (fma.f64 (cos.f64 x) x (neg.f64 x)))) (*.f64 x x)) | |
| 51.7% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 x)))) (*.f64 x x)) | |
| 53.0% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) | |
| 46.2% | (/.f64 (-.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| 31.5% | (/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal -5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal -1 binary64) x))))) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| 31.4% | (/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 (fma.f64 #s(literal -5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal -1 binary64) x))))) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| 31.1% | (/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) x))))) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| 5.8% | (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (neg.f64 x)) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| 2.1% | (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 x x) x)) | |
| 28.3% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x)) (*.f64 x x)) | |
| 28.5% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (*.f64 x x)))) (*.f64 x x)) | |
| ✓ | 51.7% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ✓ | 27.9% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x)) |
| 2.6% | (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| ✓ | 2.8% | (/.f64 (+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
| 28.2% | (/.f64 (+.f64 (neg.f64 x) (*.f64 x (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| ✓ | 99.8% | (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) |
| 53.1% | (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) x) | |
| 74.2% | (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) | |
| 2.4% | (/.f64 (neg.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| 52.5% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) | |
| 51.6% | (-.f64 (/.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 x) x)) (*.f64 x x)) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) | |
| 74.9% | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) | |
| 51.7% | (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) | |
| 50.1% | #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))) | |
| ✓ | 49.4% | #s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
| ✓ | 50.5% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 1 616 to 621 computations (61.6% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- 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 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 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 (/ (/ (- 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 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (*.f64 x x)) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x))) |
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (fma.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (+.f64 (neg.f64 x) (*.f64 x (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 x x) x)) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (*.f64 x x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x))) |
(/.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (*.f64 (neg.f64 x) x)) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) x))))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x))) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x))) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 (fma.f64 #s(literal -5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal -1 binary64) x))))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) x))) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal -5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal -1 binary64) x))))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (neg.f64 x)) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.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 #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 (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) x) |
(/.f64 (-.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (*.f64 x x)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) 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)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 x)))) (*.f64 x x)) |
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (fma.f64 (cos.f64 x) x (neg.f64 x)))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(-.f64 (/.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 x) x)) (*.f64 x x)) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) |
(-.f64 (/.f64 (/.f64 (*.f64 (cos.f64 x) x) (*.f64 (neg.f64 x) x)) x) (/.f64 (/.f64 x (*.f64 (neg.f64 x) x)) x)) |
(-.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x 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 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) |
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) |
2 calls:
| 41.0ms | x |
| 17.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- 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 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 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 (/ (/ (- 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 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (*.f64 x x)) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x))) |
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (fma.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (+.f64 (neg.f64 x) (*.f64 x (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 x x) x)) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (*.f64 x x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x))) |
(/.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (*.f64 (neg.f64 x) x)) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) x))))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x))) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x))) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 (fma.f64 #s(literal -5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal -1 binary64) x))))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) x))) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal -5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal -1 binary64) x))))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (neg.f64 x)) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.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 #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 (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) x) |
(/.f64 (-.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (*.f64 x x)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) 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)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 x)))) (*.f64 x x)) |
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (fma.f64 (cos.f64 x) x (neg.f64 x)))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(-.f64 (/.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 x) x)) (*.f64 x x)) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) |
(-.f64 (/.f64 (/.f64 (*.f64 (cos.f64 x) x) (*.f64 (neg.f64 x) x)) x) (/.f64 (/.f64 x (*.f64 (neg.f64 x) x)) x)) |
(-.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x 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)) |
| 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 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
2 calls:
| 35.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 23.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 2 | x |
| 99.2% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- 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 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 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 (/ (/ (- 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 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (*.f64 x x)) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x))) |
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (fma.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (+.f64 (neg.f64 x) (*.f64 x (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 x x) x)) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (*.f64 x x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x))) |
(/.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (*.f64 (neg.f64 x) x)) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) x))))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x))) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x))) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 (fma.f64 #s(literal -5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal -1 binary64) x))))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) x))) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal -5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal -1 binary64) x))))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (neg.f64 x)) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
| 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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
2 calls:
| 12.0ms | x |
| 9.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.0% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 99.0% | 2 | x |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- 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 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 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 (/ (/ (- 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 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (*.f64 x x)) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x))) |
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (fma.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (+.f64 (neg.f64 x) (*.f64 x (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 x x) x)) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (*.f64 x x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x))) |
(/.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (*.f64 (neg.f64 x) x)) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) x))))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x))) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x))) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 (fma.f64 #s(literal -5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal -1 binary64) x))))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) x))) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal -5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal -1 binary64) x))))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (neg.f64 x)) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
| 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 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) x))))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
1 calls:
| 17.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.7% | 2 | x |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- 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 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 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 (/ (/ (- 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 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (*.f64 x x)) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x))) |
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (fma.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (+.f64 (neg.f64 x) (*.f64 x (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 x x) x)) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (*.f64 x x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x))) |
(/.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (*.f64 (neg.f64 x) x)) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
| 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))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x))) |
2 calls:
| 8.0ms | x |
| 7.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.8% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 76.6% | 2 | x |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- 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 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 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 (/ (/ (- 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 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (*.f64 x x)) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x))) |
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (fma.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (+.f64 (neg.f64 x) (*.f64 x (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 x x) x)) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (*.f64 x x)) |
| 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 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (*.f64 x x)))) (*.f64 x x)) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.4% | 2 | x |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- 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 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 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 (/ (/ (- 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 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x)) (*.f64 x x)) |
| 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 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x)) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.4% | 2 | x |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- 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 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 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 (/ (/ (- 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 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) x) x) |
| 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 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.2% | 2 | x |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- 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 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.9% | 2 | x |
Compiled 1 to 1 computations (0% saved)
Total -1.0b remaining (-3%)
Threshold costs -1b (-3%)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- 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 |
|---|---|---|
| 50.5% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 50.5% | 1 | x |
Compiled 9 to 7 computations (22.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 0.00960471641280759 | 112.01358156895861 |
| 6.0ms | 128× | 0 | valid |
Compiled 171 to 138 computations (19.3% saved)
ival-cos: 2.0ms (50% of total)ival-sub: 1.0ms (25% of total)ival-div: 1.0ms (25% of total)ival-mult: 1.0ms (25% 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 | 0.00960471641280759 | 112.01358156895861 |
Compiled 171 to 138 computations (19.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 0.00960471641280759 | 112.01358156895861 |
| 8.0ms | 112× | 0 | valid |
Compiled 259 to 194 computations (25.1% saved)
ival-cos: 4.0ms (70.5% of total)ival-sub: 1.0ms (17.6% of total)ival-div: 1.0ms (17.6% of total)ival-mult: 1.0ms (17.6% 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 |
|---|---|---|
| 5.0ms | 347167673958984770.0 | 438209819853608300.0 |
| 3.0ms | 48× | 0 | valid |
Compiled 89 to 67 computations (24.7% saved)
ival-cos: 2.0ms (82.6% of total)ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 5.444930580768965e+25 | 1.572758206431221e+28 |
| 11.0ms | 128× | 0 | valid |
Compiled 235 to 162 computations (31.1% saved)
ival-cos: 6.0ms (68.5% of total)ival-sub: 1.0ms (11.4% of total)ival-div: 1.0ms (11.4% of total)ival-mult: 1.0ms (11.4% 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 |
|---|---|---|
| 11.0ms | 5.444930580768965e+25 | 1.572758206431221e+28 |
| 7.0ms | 96× | 0 | valid |
Compiled 203 to 154 computations (24.1% saved)
ival-cos: 3.0ms (60.6% of total)ival-mult: 1.0ms (20.2% 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× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 5.104912180763815e+38 | 1.2911835955286628e+39 |
| 6.0ms | 80× | 0 | valid |
Compiled 111 to 90 computations (18.9% saved)
ival-cos: 3.0ms (74% of total)ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 6.112119691575585e+76 | 2.4817060343548675e+77 |
| 8.0ms | 96× | 0 | valid |
Compiled 71 to 76 computations (-7% saved)
ival-cos: 5.0ms (79.2% of total)ival-div: 1.0ms (15.8% of total)ival-mult: 1.0ms (15.8% 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× | egg-herbie |
| 322× | distribute-lft-neg-in-binary64-*.f64-neg.f64 |
| 240× | unsub-neg-binary64--.f64-neg.f64-+.f64 |
| 196× | neg-mul-1-binary64-*.f64-neg.f64 |
| 160× | neg-sub0-binary64--.f64-neg.f64 |
| 142× | distribute-neg-in-binary64-+.f64-neg.f64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 323 |
| 1 | 113 | 323 |
| 2 | 159 | 323 |
| 3 | 207 | 322 |
| 4 | 246 | 321 |
| 5 | 285 | 321 |
| 6 | 354 | 321 |
| 7 | 461 | 321 |
| 8 | 638 | 321 |
| 9 | 826 | 321 |
| 10 | 975 | 321 |
| 11 | 1076 | 321 |
| 12 | 1120 | 321 |
| 13 | 1129 | 321 |
| 14 | 1130 | 321 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) |
(if (<=.f64 x #s(literal 8070450532247929/288230376151711744 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 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) |
(if (<=.f64 x #s(literal 8070450532247929/288230376151711744 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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
(if (<=.f64 x #s(literal 4 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 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) x))))) (*.f64 (*.f64 (neg.f64 x) x) x))) |
(if (<=.f64 x #s(literal 380000000000000000 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))) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x)))) |
(if (<=.f64 x #s(literal 3800000000000000215419453440 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 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (*.f64 x x)))) (*.f64 x x))) |
(if (<=.f64 x #s(literal 15500000000000000343396057088 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 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x))) |
(if (<=.f64 x #s(literal 620000000000000035155232327271721205760 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 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(if (<=.f64 x #s(literal 111999999999999994986331580283874830516910144784665608417822386580986248822784 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(/.f64 (*.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) |
(if (<=.f64 x #s(literal 8070450532247929/288230376151711744 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 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) |
(if (<=.f64 x #s(literal 8070450532247929/288230376151711744 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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
(if (<=.f64 x #s(literal 4 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 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) x))))) (*.f64 (*.f64 (neg.f64 x) x) x))) |
(if (<=.f64 x #s(literal 4 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 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) x)))) x) (*.f64 (*.f64 x x) x))) |
(if (<=.f64 x #s(literal 380000000000000000 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))) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x)))) |
(if (<=.f64 x #s(literal 380000000000000000 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))) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (neg.f64 x)))) |
(if (<=.f64 x #s(literal 3800000000000000215419453440 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 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (*.f64 x x)))) (*.f64 x x))) |
(if (<=.f64 x #s(literal 3800000000000000215419453440 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 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (*.f64 x x)) x)) (*.f64 x x))) |
(if (<=.f64 x #s(literal 15500000000000000343396057088 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 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x))) |
(if (<=.f64 x #s(literal 15500000000000000343396057088 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 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x)) (*.f64 x x))) |
(if (<=.f64 x #s(literal 620000000000000035155232327271721205760 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 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(if (<=.f64 x #s(literal 111999999999999994986331580283874830516910144784665608417822386580986248822784 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
| 16 752× | lower-fma.f64 |
| 16 752× | lower-fma.f32 |
| 15 542× | lower-fma.f64 |
| 15 542× | lower-fma.f32 |
| 15 426× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 134 | 2033 |
| 1 | 366 | 2027 |
| 2 | 888 | 2021 |
| 3 | 2609 | 2015 |
| 4 | 5095 | 2015 |
| 0 | 8351 | 1904 |
| 0 | 32 | 211 |
| 0 | 57 | 195 |
| 1 | 214 | 189 |
| 2 | 1639 | 144 |
| 0 | 9226 | 144 |
| 0 | 32 | 173 |
| 0 | 58 | 164 |
| 1 | 232 | 154 |
| 2 | 1792 | 146 |
| 0 | 8772 | 144 |
| 0 | 42 | 284 |
| 1 | 105 | 284 |
| 2 | 258 | 284 |
| 3 | 609 | 284 |
| 4 | 1290 | 284 |
| 5 | 1996 | 284 |
| 6 | 2309 | 284 |
| 7 | 3163 | 284 |
| 8 | 4640 | 284 |
| 9 | 6288 | 284 |
| 10 | 7165 | 284 |
| 11 | 7380 | 284 |
| 12 | 7398 | 284 |
| 13 | 7400 | 284 |
| 14 | 7806 | 284 |
| 0 | 8015 | 266 |
| 0 | 129 | 1633 |
| 1 | 345 | 1627 |
| 2 | 853 | 1613 |
| 3 | 2500 | 1613 |
| 4 | 4823 | 1613 |
| 5 | 7075 | 1613 |
| 0 | 8053 | 1520 |
| 0 | 6 | 17 |
| 0 | 10 | 17 |
| 1 | 40 | 17 |
| 2 | 268 | 17 |
| 3 | 2810 | 17 |
| 0 | 9656 | 17 |
| 0 | 29 | 134 |
| 0 | 48 | 111 |
| 1 | 178 | 108 |
| 2 | 1311 | 99 |
| 0 | 9283 | 99 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 536 to 249 computations (53.5% saved)
(abs x)
Compiled 504 to 182 computations (63.9% saved)
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