
Time bar (total: 10.1s)
| 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)
| 635.0ms | 2 228× | 2 | valid |
| 357.0ms | 4 173× | 0 | valid |
| 190.0ms | 577× | 3 | valid |
| 150.0ms | 1 278× | 1 | valid |
ival-cos: 754.0ms (69.4% of total)ival-div: 95.0ms (8.7% of total)adjust: 88.0ms (8.1% of total)ival-sub: 78.0ms (7.2% of total)ival-mult: 57.0ms (5.2% of total)ival-true: 6.0ms (0.6% of total)exact: 5.0ms (0.5% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 72 | 3 | (-2.65893184415066e+132) | 1 | (-1.3899650588281264e+202) | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 61 | 0 | - | 1 | (6.067635792296449e-159) | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (cos.f64 x) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | cancellation | 74 | 5 |
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | u/u | 57 | 0 |
| ↳ | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | underflow | 57 | |
| ↳ | (*.f64 x x) | underflow | 57 | |
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | n/o | 3 | 0 |
| ↳ | (*.f64 x x) | overflow | 56 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 131 | 0 |
| - | 2 | 123 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 131 | 0 | 0 |
| - | 2 | 5 | 118 |
| number | freq |
|---|---|
| 0 | 123 |
| 1 | 132 |
| 2 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 50.0ms | 146× | 2 | valid |
| 21.0ms | 264× | 0 | valid |
| 10.0ms | 30× | 3 | valid |
| 8.0ms | 72× | 1 | valid |
Compiled 51 to 22 computations (56.9% saved)
ival-cos: 38.0ms (52.8% of total)ival-sub: 18.0ms (25% of total)adjust: 6.0ms (8.3% of total)ival-div: 5.0ms (7% of total)ival-mult: 4.0ms (5.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 408× | lower-fma.f64 |
| 408× | lower-fma.f32 |
| 324× | times-frac |
| 284× | times-frac |
| 272× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 32 | 17 |
| 2 | 102 | 16 |
| 3 | 299 | 16 |
| 4 | 757 | 16 |
| 5 | 1185 | 16 |
| 6 | 1294 | 16 |
| 7 | 1310 | 16 |
| 0 | 6 | 8 |
| 0 | 10 | 8 |
| 1 | 19 | 8 |
| 2 | 30 | 8 |
| 3 | 46 | 8 |
| 4 | 82 | 8 |
| 5 | 131 | 8 |
| 6 | 188 | 8 |
| 7 | 323 | 8 |
| 8 | 621 | 8 |
| 9 | 1027 | 8 |
| 10 | 1138 | 8 |
| 0 | 1138 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(abs x)
Compiled 9 to 6 computations (33.3% saved)
Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.7% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 408× | lower-fma.f64 |
| 408× | lower-fma.f32 |
| 284× | times-frac |
| 272× | lower-*.f32 |
| 270× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 19 |
| 0 | 10 | 19 |
| 1 | 19 | 19 |
| 2 | 30 | 19 |
| 3 | 46 | 19 |
| 4 | 82 | 19 |
| 5 | 131 | 19 |
| 6 | 188 | 19 |
| 7 | 323 | 19 |
| 8 | 621 | 19 |
| 9 | 1027 | 19 |
| 10 | 1138 | 19 |
| 0 | 1138 | 19 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(*.f64 x x) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(*.f64 x x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0 | (cos.f64 x) | |
| accuracy | 14.19679126331102 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | |
| accuracy | 16.018610222666975 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 18.0ms | 73× | 2 | valid |
| 12.0ms | 132× | 0 | valid |
| 5.0ms | 15× | 3 | valid |
| 4.0ms | 36× | 1 | valid |
Compiled 21 to 8 computations (61.9% saved)
ival-cos: 19.0ms (62.2% of total)ival-div: 5.0ms (16.4% of total)adjust: 3.0ms (9.8% of total)ival-mult: 2.0ms (6.6% of total)ival-sub: 2.0ms (6.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ()) |
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/ (- 1 (cos x)) (* x x)) |
| 0.0ms | x | @ | inf | (* x x) |
| 0.0ms | x | @ | 0 | (/ (- 1 (cos x)) (* x x)) |
| 0.0ms | x | @ | -inf | (/ (- 1 (cos x)) (* x x)) |
| 0.0ms | x | @ | 0 | (cos x) |
| 1× | egg-herbie |
| 16 752× | lower-fma.f64 |
| 16 752× | lower-fma.f32 |
| 3 896× | lower-*.f64 |
| 3 896× | lower-*.f32 |
| 1 568× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 284 |
| 1 | 105 | 284 |
| 2 | 258 | 284 |
| 3 | 609 | 284 |
| 4 | 1279 | 284 |
| 5 | 2001 | 284 |
| 6 | 2304 | 284 |
| 7 | 3158 | 284 |
| 8 | 4639 | 284 |
| 9 | 6288 | 284 |
| 10 | 7157 | 284 |
| 11 | 7373 | 284 |
| 12 | 7391 | 284 |
| 13 | 7393 | 284 |
| 14 | 7798 | 284 |
| 0 | 8007 | 266 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
| 4 736× | lower-/.f32 |
| 4 734× | lower-/.f64 |
| 3 980× | lower-fma.f64 |
| 3 980× | lower-fma.f32 |
| 3 064× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 0 | 10 | 17 |
| 1 | 40 | 17 |
| 2 | 268 | 17 |
| 3 | 2810 | 17 |
| 0 | 9656 | 17 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(*.f64 x x) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (cos.f64 x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) #s(literal 1 binary64))) |
(+.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (cos.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 x (/.f64 (cos.f64 x) x)) (*.f64 x x))) |
(-.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 x x))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 (pow.f64 (/.f64 (cos.f64 x) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) (*.f64 x (neg.f64 x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 x (neg.f64 x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x (neg.f64 x))) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x (neg.f64 x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 x (neg.f64 x)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 x (neg.f64 x))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 x (neg.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 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 x (neg.f64 x))))) |
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 x (neg.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 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 x (neg.f64 x))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x (neg.f64 x)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x (neg.f64 x))))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x (neg.f64 x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (*.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x (neg.f64 x))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x (neg.f64 x)))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x (neg.f64 x))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (*.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x (neg.f64 x)))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (*.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x (neg.f64 x))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (neg.f64 x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x (neg.f64 x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (neg.f64 x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (*.f64 (*.f64 x (neg.f64 x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (*.f64 (*.f64 x (neg.f64 x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (*.f64 (*.f64 x (neg.f64 x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (*.f64 (*.f64 x (neg.f64 x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (*.f64 (*.f64 x (neg.f64 x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) x) x) (/.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) x) x)) |
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) x) x) (/.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) x) x)) |
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(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (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 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (*.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -3 binary64)) (pow.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -2 binary64)) (-.f64 (*.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.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 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.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 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) |
(exp.f64 (log.f64 (cos.f64 x))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64))) |
(cos.f64 x) |
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))) |
(neg.f64 (neg.f64 (cos.f64 x))) |
(pow.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 x)) |
(*.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x))) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 x (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) x))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 x (neg.f64 (neg.f64 x))) |
(*.f64 x (/.f64 x #s(literal 1 binary64))) |
(*.f64 x (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 x (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 1 binary64) x) x) |
(*.f64 (neg.f64 (neg.f64 x)) x) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
Compiled 15 767 to 1 639 computations (89.6% saved)
21 alts after pruning (20 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 657 | 20 | 677 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 657 | 21 | 678 |
| Status | Accuracy | Program |
|---|---|---|
| 51.4% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) | |
| 51.7% | (fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) | |
| 29.8% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) | |
| 52.6% | (/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x)) | |
| 52.5% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) | |
| 14.9% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| 40.1% | (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) | |
| ▶ | 51.7% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| ✓ | 51.7% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 24.2% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| 77.1% | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) | |
| ▶ | 51.5% | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
| 51.8% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| 51.4% | (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) | |
| 52.6% | (*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) | |
| ▶ | 77.7% | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
| ▶ | 51.7% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
| 77.1% | (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) | |
| 50.1% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) | |
| 49.6% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) | |
| ▶ | 50.8% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 535 to 308 computations (42.4% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) | |
| cost-diff | 0 | (+.f64 (cos.f64 x) #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) | |
| cost-diff | 704 | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) | |
| cost-diff | 0 | (+.f64 (cos.f64 x) #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (*.f64 x x)) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (/.f64 (sin.f64 x) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) | |
| cost-diff | 384 | (/.f64 x #s(literal 2 binary64)) |
| 958× | times-frac |
| 952× | lower-fma.f64 |
| 952× | lower-fma.f32 |
| 816× | lower-*.f32 |
| 810× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 132 |
| 0 | 41 | 120 |
| 1 | 79 | 120 |
| 2 | 164 | 120 |
| 3 | 419 | 120 |
| 4 | 1044 | 120 |
| 5 | 2406 | 120 |
| 6 | 2905 | 120 |
| 7 | 3145 | 120 |
| 8 | 3227 | 120 |
| 9 | 3249 | 120 |
| 10 | 3249 | 120 |
| 11 | 3255 | 120 |
| 0 | 3255 | 120 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(sin.f64 x) |
x |
(*.f64 x x) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
#s(literal -1 binary64) |
(*.f64 x x) |
x |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(cos.f64 x) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
#s(literal -1 binary64) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(*.f64 x x) |
x |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(cos.f64 x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(sin.f64 x) |
x |
(*.f64 x x) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
#s(literal -1 binary64) |
(*.f64 x x) |
x |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
#s(literal -1 binary64) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (cos.f64 x))) |
(*.f64 x x) |
x |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 #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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.26105130884852423 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) | |
| accuracy | 0.3494789285861646 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) | |
| accuracy | 14.19679126331102 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) | |
| accuracy | 16.018610222666975 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| accuracy | 0 | (cos.f64 x) | |
| accuracy | 0.42190994727477815 | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) | |
| accuracy | 14.361329462497334 | (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) | |
| accuracy | 16.01861022266698 | (+.f64 (cos.f64 x) #s(literal -1 binary64)) | |
| accuracy | 0 | (cos.f64 x) | |
| accuracy | 0.3494789285861646 | (/.f64 #s(literal -1 binary64) (*.f64 x x)) | |
| accuracy | 14.266100700991196 | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) | |
| accuracy | 16.01861022266698 | (+.f64 (cos.f64 x) #s(literal -1 binary64)) | |
| accuracy | 31.459192478473206 | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) | |
| accuracy | 0 | (sin.f64 x) | |
| accuracy | 0.00390625 | (tan.f64 (/.f64 x #s(literal 2 binary64))) | |
| accuracy | 0.140625 | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) | |
| accuracy | 13.7451688071672 | (/.f64 (sin.f64 x) (*.f64 x x)) |
| 34.0ms | 73× | 2 | valid |
| 33.0ms | 132× | 0 | valid |
| 9.0ms | 36× | 1 | valid |
| 9.0ms | 15× | 3 | valid |
Compiled 132 to 24 computations (81.8% saved)
ival-cos: 20.0ms (31.2% of total)ival-div: 16.0ms (24.9% of total)ival-mult: 7.0ms (10.9% of total)adjust: 6.0ms (9.4% of total)ival-sin: 6.0ms (9.4% of total)ival-tan: 5.0ms (7.8% of total)ival-add: 2.0ms (3.1% of total)ival-sub: 2.0ms (3.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (patch #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (+.f64 (cos.f64 x) #s(literal -1 binary64)) (patch (+.f64 (cos.f64 x) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (patch (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.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 (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1/2 (taylor 0 x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1/6 (pow x 2))) x) (taylor 0 x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x) (taylor 0 x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x) (taylor 0 x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin x) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin x) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin x) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin x) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin x) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin x) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin x) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin x) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
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#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | -inf | (/ (sin x) (* x x)) |
| 2.0ms | x | @ | inf | (* (/ -1 (* x x)) (+ (cos x) -1)) |
| 1.0ms | x | @ | inf | (* (/ (sin x) (* x x)) (tan (/ x 2))) |
| 1.0ms | x | @ | -inf | (* (/ (sin x) (* x x)) (tan (/ x 2))) |
| 1.0ms | x | @ | 0 | (* (/ (sin x) (* x x)) (tan (/ x 2))) |
| 1× | egg-herbie |
| 14 160× | lower-fma.f64 |
| 14 160× | lower-fma.f32 |
| 5 290× | lower-*.f64 |
| 5 290× | lower-*.f32 |
| 3 292× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 119 | 1426 |
| 1 | 301 | 1426 |
| 2 | 765 | 1420 |
| 3 | 2327 | 1420 |
| 4 | 4322 | 1420 |
| 5 | 4901 | 1420 |
| 6 | 7742 | 1420 |
| 0 | 8058 | 1348 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ 1 x) |
(/ (+ 1 (* -1/6 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x) |
(/ (sin x) (pow x 2)) |
(/ (sin x) (pow x 2)) |
(/ (sin x) (pow x 2)) |
(/ (sin x) (pow x 2)) |
(/ (sin x) (pow x 2)) |
(/ (sin x) (pow x 2)) |
(/ (sin x) (pow x 2)) |
(/ (sin x) (pow x 2)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
-2 |
(- (* -1/6 (pow x 2)) 2) |
(- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2) |
(/ (pow x 2) (- (cos x) 1)) |
(/ (pow x 2) (- (cos x) 1)) |
(/ (pow x 2) (- (cos x) 1)) |
(/ (pow x 2) (- (cos x) 1)) |
(/ (pow x 2) (- (cos x) 1)) |
(/ (pow x 2) (- (cos x) 1)) |
(/ (pow x 2) (- (cos x) 1)) |
(/ (pow x 2) (- (cos x) 1)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
| Outputs |
|---|
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1/6 (pow x 2))) x) |
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x) |
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x) |
(/ (sin x) (pow x 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(/ (sin x) (pow x 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(/ (sin x) (pow x 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(/ (sin x) (pow x 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(/ (sin x) (pow x 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(/ (sin x) (pow x 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(/ (sin x) (pow x 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(/ (sin x) (pow x 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* -1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/40320 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) |
(- (cos x) 1) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(- (cos x) 1) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(- (cos x) 1) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(- (cos x) 1) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(- (cos x) 1) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(- (cos x) 1) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(- (cos x) 1) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(- (cos x) 1) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
-2 |
#s(literal -2 binary64) |
(- (* -1/6 (pow x 2)) 2) |
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64)) |
(- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -2 binary64)) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/3024 binary64)) #s(literal -1/120 binary64)) #s(literal -1/6 binary64)) #s(literal -2 binary64)) |
(/ (pow x 2) (- (cos x) 1)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/ (pow x 2) (- (cos x) 1)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/ (pow x 2) (- (cos x) 1)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/ (pow x 2) (- (cos x) 1)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/ (pow x 2) (- (cos x) 1)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/ (pow x 2) (- (cos x) 1)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/ (pow x 2) (- (cos x) 1)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/ (pow x 2) (- (cos x) 1)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 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) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 3 766× | lower-*.f32 |
| 3 760× | lower-*.f64 |
| 3 550× | lower-/.f32 |
| 3 534× | lower-/.f64 |
| 3 082× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 106 |
| 0 | 41 | 94 |
| 1 | 159 | 91 |
| 2 | 995 | 91 |
| 0 | 8408 | 91 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x #s(literal 2 binary64)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(sin.f64 x) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/2 binary64))) |
(neg.f64 (*.f64 x #s(literal -1/2 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) |
(/.f64 x #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/.f64 (neg.f64 x) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -2 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 x) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (neg.f64 x)) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/2 binary64)) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(neg.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))))) |
(neg.f64 (*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(neg.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (neg.f64 x)))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x x))) |
(/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) (sin.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))) |
(/.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 x #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (neg.f64 x))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x))) |
(/.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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (neg.f64 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (*.f64 x (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x (neg.f64 x))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (sin.f64 x))) |
(/.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x) x) |
(/.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (neg.f64 x)) (sin.f64 x))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x)))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x))) (neg.f64 (*.f64 x (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x)) (neg.f64 x)) |
(/.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (sin.f64 x))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (*.f64 x (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) x)) x) |
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 x (neg.f64 x)) (sin.f64 x))) |
(/.f64 (*.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (neg.f64 x)) (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (neg.f64 x))) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
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(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
Compiled 38 825 to 2 797 computations (92.8% saved)
33 alts after pruning (28 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 972 | 22 | 1 994 |
| Fresh | 9 | 6 | 15 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 982 | 33 | 2 015 |
| Status | Accuracy | Program |
|---|---|---|
| 51.4% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) | |
| 29.9% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x) (neg.f64 (cos.f64 x))) (*.f64 x x)) | |
| ▶ | 52.2% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (/.f64 (cos.f64 x) (neg.f64 x))) x) |
| 15.3% | (/.f64 (fma.f64 x (neg.f64 x) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x)))) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) | |
| 51.7% | (/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x)) | |
| 52.6% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| 30.1% | (/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) | |
| 52.5% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) | |
| 14.9% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| ▶ | 40.1% | (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) |
| ✓ | 51.7% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| ✓ | 51.7% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 24.2% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| 77.1% | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) | |
| ✓ | 51.5% | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
| 52.1% | (/.f64 #s(literal -1 binary64) (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x))) | |
| 52.1% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal -1 binary64) x)) x)) | |
| ▶ | 51.4% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 x))) (*.f64 x x))) |
| 72.7% | (/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (+ (cos x) -1)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -2 binary64)))) | |
| 75.2% | (/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (+ (cos x) -1)) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64)))) | |
| 51.8% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| 51.9% | (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) | |
| 52.6% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x)) | |
| 77.7% | (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x)) | |
| ▶ | 99.8% | (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x)) |
| 76.8% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) | |
| ✓ | 51.7% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
| 40.1% | (*.f64 (-.f64 x (*.f64 x (cos.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) | |
| 99.7% | (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 #s(literal 1 binary64) x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) | |
| 51.8% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) | |
| 50.1% | #s(approx (/ (- 1 (cos x)) (/ 1 (/ 1 (* x x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) | |
| ▶ | 49.6% | #s(approx (/ (- 1 (cos x)) (/ 1 (/ 1 (* x x)))) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
| ✓ | 50.8% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 799 to 486 computations (39.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) | |
| cost-diff | 384 | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (/.f64 (cos.f64 x) (neg.f64 x))) x) | |
| cost-diff | 1344 | (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (/.f64 (cos.f64 x) (neg.f64 x))) | |
| cost-diff | 0 | (+.f64 #s(literal -1 binary64) (cos.f64 x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 x))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 x))) (*.f64 x x)) | |
| cost-diff | 704 | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 x))) (*.f64 x x))) | |
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (*.f64 x (cos.f64 x)) | |
| cost-diff | 0 | (-.f64 x (*.f64 x (cos.f64 x))) | |
| cost-diff | 640 | (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 x #s(literal -1/24 binary64)) | |
| cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- 1 (cos x)) (/ 1 (/ 1 (* x x)))) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (tan.f64 (*.f64 x #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) | |
| cost-diff | 384 | (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x)) |
| 3 600× | lower-fma.f32 |
| 3 596× | lower-fma.f64 |
| 3 286× | lower-*.f32 |
| 3 272× | lower-*.f64 |
| 2 994× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 181 |
| 0 | 60 | 159 |
| 1 | 115 | 157 |
| 2 | 236 | 153 |
| 3 | 631 | 153 |
| 4 | 1355 | 153 |
| 5 | 2918 | 153 |
| 6 | 5714 | 153 |
| 0 | 8064 | 153 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x)) |
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
#s(approx (/ (- 1 (cos x)) (/ 1 (/ 1 (* x x)))) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
x |
(*.f64 x #s(literal -1/24 binary64)) |
#s(literal -1/24 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) |
(-.f64 x (*.f64 x (cos.f64 x))) |
x |
(*.f64 x (cos.f64 x)) |
(cos.f64 x) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 x))) (*.f64 x x))) |
#s(literal -1 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 x))) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 x))) |
#s(literal 1 binary64) |
(+.f64 #s(literal -1 binary64) (cos.f64 x)) |
(cos.f64 x) |
x |
(*.f64 x x) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (/.f64 (cos.f64 x) (neg.f64 x))) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (/.f64 (cos.f64 x) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
x |
(/.f64 (cos.f64 x) (neg.f64 x)) |
(cos.f64 x) |
(neg.f64 x) |
| Outputs |
|---|
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 x x)) |
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
#s(approx (/ (- 1 (cos x)) (/ 1 (/ 1 (* x x)))) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
x |
(*.f64 x #s(literal -1/24 binary64)) |
#s(literal -1/24 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 x (*.f64 x (cos.f64 x))) |
x |
(*.f64 x (cos.f64 x)) |
(cos.f64 x) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 x))) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
#s(literal -1 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 x))) (*.f64 x x)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 x))) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(+.f64 #s(literal -1 binary64) (cos.f64 x)) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(cos.f64 x) |
x |
(*.f64 x x) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (/.f64 (cos.f64 x) (neg.f64 x))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (/.f64 (cos.f64 x) (neg.f64 x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
x |
(/.f64 (cos.f64 x) (neg.f64 x)) |
(neg.f64 (/.f64 (cos.f64 x) x)) |
(cos.f64 x) |
(neg.f64 x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09765625 | (/.f64 (cos.f64 x) (neg.f64 x)) | |
| accuracy | 0.10546875 | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (/.f64 (cos.f64 x) (neg.f64 x))) x) | |
| accuracy | 0.3494789285861646 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) | |
| accuracy | 42.58394333914607 | (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (/.f64 (cos.f64 x) (neg.f64 x))) | |
| accuracy | 0.2109375 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 x))) | |
| accuracy | 0.42190994727477815 | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 x))) (*.f64 x x))) | |
| accuracy | 14.571594013686273 | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 x))) (*.f64 x x)) | |
| accuracy | 16.018610222666975 | (+.f64 #s(literal -1 binary64) (cos.f64 x)) | |
| accuracy | 0.1015625 | (*.f64 x (*.f64 x x)) | |
| accuracy | 0.12890625 | (*.f64 x (cos.f64 x)) | |
| accuracy | 9.86333719625344 | (-.f64 x (*.f64 x (cos.f64 x))) | |
| accuracy | 27.69614022700546 | (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) | |
| accuracy | 0.0625 | (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) | |
| accuracy | 0.34375 | (*.f64 x #s(literal -1/24 binary64)) | |
| accuracy | 32.26629408851876 | #s(approx (/ (- 1 (cos x)) (/ 1 (/ 1 (* x x)))) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) | |
| accuracy | 0.00390625 | (tan.f64 (*.f64 x #s(literal 1/2 binary64))) | |
| accuracy | 0.08984375 | (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x)) | |
| accuracy | 0.1015625 | (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) | |
| accuracy | 0.1171875 | (/.f64 (sin.f64 x) x) |
| 192.0ms | 74× | 2 | valid |
| 65.0ms | 132× | 0 | valid |
| 17.0ms | 14× | 3 | valid |
| 16.0ms | 36× | 1 | valid |
Compiled 179 to 35 computations (80.4% saved)
adjust: 129.0ms (49.5% of total)ival-cos: 41.0ms (15.7% of total)ival-mult: 33.0ms (12.7% of total)ival-div: 32.0ms (12.3% of total)ival-tan: 6.0ms (2.3% of total)ival-sub: 5.0ms (1.9% of total)ival-add: 5.0ms (1.9% of total)ival-sin: 5.0ms (1.9% of total)const: 4.0ms (1.5% of total)ival-neg: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x)) (patch (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (patch (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) #<representation binary64>) () ()) |
#s(alt (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (patch (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- 1 (cos x)) (/ 1 (/ 1 (* x x)))) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (patch #s(approx (/ (- 1 (cos x)) (/ 1 (/ 1 (* x x)))) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal -1/24 binary64)) (patch (*.f64 x #s(literal -1/24 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) (patch (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (-.f64 x (*.f64 x (cos.f64 x))) (patch (-.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ()) |
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 x))) (*.f64 x x))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 x))) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 x))) (*.f64 x x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 x))) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 x))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 x))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal -1 binary64) (cos.f64 x)) (patch (+.f64 #s(literal -1 binary64) (cos.f64 x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (/.f64 (cos.f64 x) (neg.f64 x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (/.f64 (cos.f64 x) (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (/.f64 (cos.f64 x) (neg.f64 x))) x) (patch (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (/.f64 (cos.f64 x) (neg.f64 x))) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (cos.f64 x) (neg.f64 x)) (patch (/.f64 (cos.f64 x) (neg.f64 x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1/2 (taylor 0 x) (#s(alt (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x)) (patch (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x)) #<representation binary64>) () ())) ()) |
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#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 (cos.f64 x) (neg.f64 x)) (patch (/.f64 (cos.f64 x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 1/2 (pow x 2)) 1) x) (taylor 0 x) (#s(alt (/.f64 (cos.f64 x) (neg.f64 x)) (patch (/.f64 (cos.f64 x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x) (taylor 0 x) (#s(alt (/.f64 (cos.f64 x) (neg.f64 x)) (patch (/.f64 (cos.f64 x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) x) (taylor 0 x) (#s(alt (/.f64 (cos.f64 x) (neg.f64 x)) (patch (/.f64 (cos.f64 x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos x) x)) (taylor inf x) (#s(alt (/.f64 (cos.f64 x) (neg.f64 x)) (patch (/.f64 (cos.f64 x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos x) x)) (taylor inf x) (#s(alt (/.f64 (cos.f64 x) (neg.f64 x)) (patch (/.f64 (cos.f64 x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos x) x)) (taylor inf x) (#s(alt (/.f64 (cos.f64 x) (neg.f64 x)) (patch (/.f64 (cos.f64 x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos x) x)) (taylor inf x) (#s(alt (/.f64 (cos.f64 x) (neg.f64 x)) (patch (/.f64 (cos.f64 x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos x) x)) (taylor -inf x) (#s(alt (/.f64 (cos.f64 x) (neg.f64 x)) (patch (/.f64 (cos.f64 x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos x) x)) (taylor -inf x) (#s(alt (/.f64 (cos.f64 x) (neg.f64 x)) (patch (/.f64 (cos.f64 x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos x) x)) (taylor -inf x) (#s(alt (/.f64 (cos.f64 x) (neg.f64 x)) (patch (/.f64 (cos.f64 x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos x) x)) (taylor -inf x) (#s(alt (/.f64 (cos.f64 x) (neg.f64 x)) (patch (/.f64 (cos.f64 x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | -inf | (/ (- x (* x (cos x))) (* x (* x x))) |
| 3.0ms | x | @ | -inf | (+ (* (/ 1 (* x x)) x) (/ (cos x) (neg x))) |
| 1.0ms | x | @ | inf | (/ (- x (* x (cos x))) (* x (* x x))) |
| 1.0ms | x | @ | -inf | (/ (+ (* (/ 1 (* x x)) x) (/ (cos x) (neg x))) x) |
| 1.0ms | x | @ | -inf | (/ (tan (* x 1/2)) x) |
| 1× | egg-herbie |
| 17 330× | lower-fma.f64 |
| 17 330× | lower-fma.f32 |
| 4 722× | lower-*.f64 |
| 4 722× | lower-*.f32 |
| 3 870× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 151 | 1900 |
| 1 | 409 | 1894 |
| 2 | 1011 | 1886 |
| 3 | 2964 | 1876 |
| 4 | 6162 | 1876 |
| 0 | 8140 | 1774 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* -1/24 (pow x 2))) |
(* -1/24 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* -1/24 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* -1/24 x) |
(* -1/24 x) |
(* -1/24 x) |
(* -1/24 x) |
(* -1/24 x) |
(* -1/24 x) |
(* -1/24 x) |
(* -1/24 x) |
(* -1/24 x) |
(* -1/24 x) |
(* -1/24 x) |
(* -1/24 x) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(* 1/2 (pow x 3)) |
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* x (- 1 (cos x))) |
(* x (- 1 (cos x))) |
(* x (- 1 (cos x))) |
(* x (- 1 (cos x))) |
(* x (+ 1 (* -1 (cos x)))) |
(* x (+ 1 (* -1 (cos x)))) |
(* x (+ 1 (* -1 (cos x)))) |
(* x (+ 1 (* -1 (cos x)))) |
x |
(* x (+ 1 (* -1/2 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
-2 |
(- (* -1/6 (pow x 2)) 2) |
(- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2) |
(/ (pow x 2) (- (cos x) 1)) |
(/ (pow x 2) (- (cos x) 1)) |
(/ (pow x 2) (- (cos x) 1)) |
(/ (pow x 2) (- (cos x) 1)) |
(/ (pow x 2) (- (cos x) 1)) |
(/ (pow x 2) (- (cos x) 1)) |
(/ (pow x 2) (- (cos x) 1)) |
(/ (pow x 2) (- (cos x) 1)) |
(/ -2 (pow x 2)) |
(/ (- (* -1/6 (pow x 2)) 2) (pow x 2)) |
(/ (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) (pow x 2)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2) (pow x 2)) |
(/ 1 (- (cos x) 1)) |
(/ 1 (- (cos x) 1)) |
(/ 1 (- (cos x) 1)) |
(/ 1 (- (cos x) 1)) |
(/ 1 (- (cos x) 1)) |
(/ 1 (- (cos x) 1)) |
(/ 1 (- (cos x) 1)) |
(/ 1 (- (cos x) 1)) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(* 1/2 x) |
(* x (+ 1/2 (* -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 (cos x))) x) |
(/ (+ 1 (* -1 (cos x))) x) |
(/ (+ 1 (* -1 (cos x))) x) |
(/ (+ 1 (* -1 (cos x))) x) |
(* -1 (/ (- (cos x) 1) x)) |
(* -1 (/ (- (cos x) 1) x)) |
(* -1 (/ (- (cos x) 1) x)) |
(* -1 (/ (- (cos x) 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 (* -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 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(/ -1 x) |
(/ (- (* 1/2 (pow x 2)) 1) x) |
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x) |
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) x) |
(* -1 (/ (cos x) x)) |
(* -1 (/ (cos x) x)) |
(* -1 (/ (cos x) x)) |
(* -1 (/ (cos x) x)) |
(* -1 (/ (cos x) x)) |
(* -1 (/ (cos x) x)) |
(* -1 (/ (cos x) x)) |
(* -1 (/ (cos x) x)) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/24 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
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(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/ (+ 1 (* -1 (cos x))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (+ 1 (* -1 (cos x))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (+ 1 (* -1 (cos x))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (+ 1 (* -1 (cos x))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(* -1 (/ (- (cos x) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(* -1 (/ (- (cos x) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(* -1 (/ (- (cos x) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(* -1 (/ (- (cos x) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(/ -1 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) (+ 1/2 (* -1/24 (pow x 2)))) 1) x) |
(fma.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) x) |
(fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(* -1 (/ (cos x) x)) |
(/.f64 (cos.f64 x) (neg.f64 x)) |
(* -1 (/ (cos x) x)) |
(/.f64 (cos.f64 x) (neg.f64 x)) |
(* -1 (/ (cos x) x)) |
(/.f64 (cos.f64 x) (neg.f64 x)) |
(* -1 (/ (cos x) x)) |
(/.f64 (cos.f64 x) (neg.f64 x)) |
(* -1 (/ (cos x) x)) |
(/.f64 (cos.f64 x) (neg.f64 x)) |
(* -1 (/ (cos x) x)) |
(/.f64 (cos.f64 x) (neg.f64 x)) |
(* -1 (/ (cos x) x)) |
(/.f64 (cos.f64 x) (neg.f64 x)) |
(* -1 (/ (cos x) x)) |
(/.f64 (cos.f64 x) (neg.f64 x)) |
| 5 262× | lower-/.f32 |
| 5 246× | lower-/.f64 |
| 4 042× | lower-fma.f32 |
| 4 038× | lower-fma.f64 |
| 3 052× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 156 |
| 0 | 60 | 134 |
| 1 | 242 | 130 |
| 2 | 1788 | 126 |
| 0 | 8834 | 126 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x)) |
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (/ 1 (/ 1 (* x x)))) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x #s(literal -1/24 binary64)) |
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) |
(-.f64 x (*.f64 x (cos.f64 x))) |
(*.f64 x (cos.f64 x)) |
(cos.f64 x) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 x))) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 x))) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 x))) |
(+.f64 #s(literal -1 binary64) (cos.f64 x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (/.f64 (cos.f64 x) (neg.f64 x))) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (/.f64 (cos.f64 x) (neg.f64 x))) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(/.f64 (sin.f64 x) x) |
(*.f64 x (*.f64 x x)) |
(/.f64 (cos.f64 x) (neg.f64 x)) |
| Outputs |
|---|
(/.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (sin.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 x (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (sin.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 x (sin.f64 x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x) (*.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x))) (*.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (sin.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sin.f64 x)) (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (neg.f64 (sin.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (sin.f64 x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 x (sin.f64 x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 x x)) |
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) x) |
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 x (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x))) (*.f64 x (neg.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (*.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (*.f64 x (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 x))) (*.f64 x x)) |
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x (neg.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (/.f64 x (sin.f64 x)) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) (*.f64 x (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x))) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (/.f64 x (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (neg.f64 (sin.f64 x))) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (sin.f64 x) x)) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 x (/.f64 x (sin.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x)))) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x))) (neg.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) (*.f64 x x)) |
(/.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) (neg.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x)))) (neg.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 x)))) (*.f64 x (neg.f64 x))) |
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(*.f64 (pow.f64 (/.f64 x (+.f64 (neg.f64 (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(*.f64 (pow.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) x))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 x (cos.f64 x)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (cos.f64 x)) (fma.f64 x (cos.f64 x) x) (*.f64 x x)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 x) x))) |
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (neg.f64 x)))) (/.f64 x (*.f64 x (*.f64 x (neg.f64 x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 (neg.f64 x) (*.f64 x (*.f64 x x)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 x (*.f64 x (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 x) (*.f64 x (*.f64 x (neg.f64 x)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (*.f64 (*.f64 x x) (*.f64 x x)))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 (/.f64 x x) (*.f64 x x)) |
(/.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) |
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) x) |
(/.f64 (neg.f64 (/.f64 x x)) (*.f64 x (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x))) (*.f64 x (neg.f64 x))) |
(pow.f64 x #s(literal -2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 x) #s(literal -2 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/2 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 x x) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (/.f64 x x) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x))) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(/.f64 x (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 (*.f64 x (*.f64 x x)) x) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 x (*.f64 x (neg.f64 x))) (neg.f64 x)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(*.f64 x x) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 x))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (sin.f64 x) (neg.f64 x))) |
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x))) |
(/.f64 (sin.f64 x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sin.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) x) |
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) x) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 x)))) (neg.f64 x)) |
(/.f64 (neg.f64 (/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))) (neg.f64 x)) |
(pow.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(neg.f64 (*.f64 x (*.f64 x (neg.f64 x)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x (*.f64 x (neg.f64 x))) #s(literal -1 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x x) x) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (neg.f64 x)))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (/.f64 x (cos.f64 x)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (cos.f64 x) x)) |
(neg.f64 (/.f64 (cos.f64 x) x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (cos.f64 x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (/.f64 x (cos.f64 x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(/.f64 (cos.f64 x) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 x (cos.f64 x))))) |
(/.f64 (neg.f64 (cos.f64 x)) x) |
(/.f64 (neg.f64 (neg.f64 (cos.f64 x))) (neg.f64 x)) |
(/.f64 (/.f64 (cos.f64 x) #s(literal -1 binary64)) x) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 x)))) x) |
(/.f64 (neg.f64 (/.f64 (cos.f64 x) #s(literal -1 binary64))) (neg.f64 x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x))))) |
(pow.f64 (neg.f64 (/.f64 x (cos.f64 x))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (cos.f64 x) x))) |
(*.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x)) |
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))) |
Compiled 35 953 to 2 992 computations (91.7% saved)
38 alts after pruning (28 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 810 | 11 | 1 821 |
| Fresh | 6 | 17 | 23 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 816 | 38 | 1 854 |
| Status | Accuracy | Program |
|---|---|---|
| 40.8% | (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x)))) | |
| ▶ | 51.4% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) |
| 52.4% | (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x (/.f64 (cos.f64 x) (neg.f64 x))) x) | |
| 29.9% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x) (neg.f64 (cos.f64 x))) (*.f64 x x)) | |
| ✓ | 52.2% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (/.f64 (cos.f64 x) (neg.f64 x))) x) |
| 25.2% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x #s(approx (/ (cos x) (neg x)) (/.f64 #s(literal -1 binary64) x))) x) | |
| 15.3% | (/.f64 (fma.f64 x (neg.f64 x) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x)))) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) | |
| ▶ | 51.7% | (/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x)) |
| ▶ | 52.6% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| 30.1% | (/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) | |
| 18.7% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 x x) (neg.f64 (cos.f64 x)))))) x) | |
| 52.5% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) | |
| 15.0% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x)))) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| ✓ | 40.1% | (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) |
| ✓ | 51.7% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| ✓ | 51.7% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ▶ | 24.2% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| 77.1% | (/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 x x)) | |
| ✓ | 51.5% | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
| 52.1% | (/.f64 #s(literal -1 binary64) (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x))) | |
| 52.1% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal -1 binary64) x)) x)) | |
| ✓ | 51.4% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 x))) (*.f64 x x))) |
| 52.5% | (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ 1 (+ -1 (cos x))) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 x x))) | |
| 72.7% | (/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (+ (cos x) -1)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -2 binary64)))) | |
| 75.2% | (/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (+ (cos x) -1)) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64)))) | |
| 51.8% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| 51.9% | (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) | |
| 52.6% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x)) | |
| 77.7% | (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x)) | |
| ✓ | 99.8% | (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x)) |
| 40.1% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 x (*.f64 x (cos.f64 x)))) | |
| 76.8% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) | |
| ✓ | 51.7% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
| 51.8% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) | |
| ▶ | 99.7% | (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) |
| 50.1% | #s(approx (/ (- x (* x (cos x))) (* x (* x x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) | |
| ✓ | 49.6% | #s(approx (/ (- 1 (cos x)) (/ 1 (/ 1 (* x x)))) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
| ✓ | 50.8% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 898 to 532 computations (40.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 1728 | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) | |
| cost-diff | 0 | (*.f64 x (cos.f64 x)) | |
| cost-diff | 0 | (-.f64 x (*.f64 x (cos.f64 x))) | |
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x)) | |
| cost-diff | 1024 | (/.f64 (-.f64 x (*.f64 x (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 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (cos x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (tan.f64 (*.f64 x #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) | |
| cost-diff | 704 | (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) |
| 4 260× | lower-*.f32 |
| 4 248× | lower-*.f64 |
| 3 746× | lower-fma.f32 |
| 3 744× | lower-fma.f64 |
| 2 040× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 158 |
| 0 | 50 | 144 |
| 1 | 96 | 142 |
| 2 | 182 | 142 |
| 3 | 317 | 142 |
| 4 | 680 | 142 |
| 5 | 1763 | 142 |
| 6 | 2948 | 142 |
| 7 | 4205 | 142 |
| 8 | 6266 | 142 |
| 9 | 7006 | 142 |
| 10 | 7432 | 142 |
| 0 | 8101 | 142 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
#s(approx (cos x) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x)) |
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) |
(-.f64 x (*.f64 x (cos.f64 x))) |
x |
(*.f64 x (cos.f64 x)) |
(cos.f64 x) |
(*.f64 x x) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) |
(cos.f64 x) |
(*.f64 x (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
(*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
#s(approx (cos x) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(-.f64 x (*.f64 x (cos.f64 x))) |
x |
(*.f64 x (cos.f64 x)) |
(cos.f64 x) |
(*.f64 x x) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) |
(cos.f64 x) |
(*.f64 x (neg.f64 x)) |
(neg.f64 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0 | (cos.f64 x) | |
| accuracy | 0.35070807230149537 | (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) | |
| accuracy | 30.86073271481593 | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) | |
| accuracy | 0.12890625 | (*.f64 x (cos.f64 x)) | |
| accuracy | 6.109503052064244 | (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) | |
| accuracy | 9.86333719625344 | (-.f64 x (*.f64 x (cos.f64 x))) | |
| accuracy | 14.19679126331102 | (/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x)) | |
| accuracy | 0 | (cos.f64 x) | |
| accuracy | 0.10546875 | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| accuracy | 13.564281495931253 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) | |
| accuracy | 16.018610222666975 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 14.19679126331102 | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| accuracy | 16.018610222666975 | (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) | |
| accuracy | 28.877078564962137 | #s(approx (cos x) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (tan.f64 (*.f64 x #s(literal 1/2 binary64))) | |
| accuracy | 0.1171875 | (/.f64 (sin.f64 x) x) | |
| accuracy | 0.135097509768442 | (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) | |
| accuracy | 0.16796875 | (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) |
| 75.0ms | 73× | 2 | valid |
| 36.0ms | 132× | 0 | valid |
| 15.0ms | 15× | 3 | valid |
| 13.0ms | 36× | 1 | valid |
Compiled 155 to 27 computations (82.6% saved)
ival-cos: 26.0ms (25% of total)ival-sub: 21.0ms (20.2% of total)ival-div: 20.0ms (19.3% of total)ival-mult: 14.0ms (13.5% of total)adjust: 8.0ms (7.7% of total)ival-tan: 6.0ms (5.8% of total)ival-sin: 6.0ms (5.8% of total)ival-add: 2.0ms (1.9% of total)ival-neg: 1.0ms (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 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) (patch (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (patch (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) #<representation binary64>) () ()) |
#s(alt (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (patch (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (patch (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (-.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 (-.f64 x (*.f64 x (cos.f64 x))) x) (patch (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x)) (patch (/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (-.f64 x (*.f64 x (cos.f64 x))) (patch (-.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) (patch (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1/2 (taylor 0 x) (#s(alt (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) (patch (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) (patch (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) (patch (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) (patch (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) (patch (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) (patch (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) (patch (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) (patch (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) (patch (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) (patch (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) (patch (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) (patch (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (patch (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (patch (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (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 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (patch (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (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 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (patch (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))) (taylor inf x) (#s(alt (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (patch (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))) (taylor inf x) (#s(alt (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (patch (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))) (taylor inf x) (#s(alt (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (patch (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))) (taylor inf x) (#s(alt (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (patch (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (patch (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (patch (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (patch (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (patch (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) (patch (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 1/2 (pow x 2)) 1) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) (patch (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) (patch (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) (patch (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos x) (pow x 2))) (taylor inf x) (#s(alt (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) (patch (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos x) (pow x 2))) (taylor inf x) (#s(alt (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) (patch (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos x) (pow x 2))) (taylor inf x) (#s(alt (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) (patch (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos x) (pow x 2))) (taylor inf x) (#s(alt (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) (patch (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos x) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) (patch (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos x) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) (patch (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos x) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) (patch (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos x) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) (patch (/.f64 (cos.f64 x) (*.f64 x (neg.f64 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 (/ (sin x) x) (taylor inf x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin x) x) (taylor inf x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin x) x) (taylor inf x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin x) x) (taylor inf x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin x) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin x) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin x) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin x) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 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 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 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (* (tan (* x 1/2)) (/ (sin x) x)) |
| 1.0ms | x | @ | -inf | (/ (- 1 (cos x)) x) |
| 0.0ms | x | @ | inf | (+ (* (/ 1 x) (/ 1 x)) (/ (cos x) (* x (neg x)))) |
| 0.0ms | x | @ | -inf | (+ (* (/ 1 x) (/ 1 x)) (/ (cos x) (* x (neg x)))) |
| 0.0ms | x | @ | -inf | (/ (- x (* x (cos x))) x) |
| 1× | egg-herbie |
| 17 676× | lower-fma.f64 |
| 17 676× | lower-fma.f32 |
| 4 420× | lower-*.f64 |
| 4 420× | lower-*.f32 |
| 3 750× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 116 | 1834 |
| 1 | 337 | 1828 |
| 2 | 837 | 1820 |
| 3 | 2309 | 1816 |
| 4 | 4539 | 1816 |
| 5 | 6800 | 1816 |
| 0 | 8032 | 1717 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(* 1/2 x) |
(* 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)))) |
(/ (* (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))) (* 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)))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(+ 1 (* -1 (cos x))) |
(+ 1 (* -1 (cos x))) |
(+ 1 (* -1 (cos x))) |
(+ 1 (* -1 (cos x))) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(* 1/2 (pow x 3)) |
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* x (- 1 (cos x))) |
(* x (- 1 (cos x))) |
(* x (- 1 (cos x))) |
(* x (- 1 (cos x))) |
(* x (+ 1 (* -1 (cos x)))) |
(* x (+ 1 (* -1 (cos x)))) |
(* x (+ 1 (* -1 (cos x)))) |
(* x (+ 1 (* -1 (cos x)))) |
x |
(* x (+ 1 (* -1/2 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ -1 (pow x 2)) |
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2)) |
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2)) |
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2)) |
(* -1 (/ (cos x) (pow x 2))) |
(* -1 (/ (cos x) (pow x 2))) |
(* -1 (/ (cos x) (pow x 2))) |
(* -1 (/ (cos x) (pow x 2))) |
(* -1 (/ (cos x) (pow x 2))) |
(* -1 (/ (cos x) (pow x 2))) |
(* -1 (/ (cos x) (pow x 2))) |
(* -1 (/ (cos x) (pow x 2))) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
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(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* 1/2 (pow x 3)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x))) |
(* x (- 1 (cos x))) |
(-.f64 x (*.f64 x (cos.f64 x))) |
(* x (- 1 (cos x))) |
(-.f64 x (*.f64 x (cos.f64 x))) |
(* x (- 1 (cos x))) |
(-.f64 x (*.f64 x (cos.f64 x))) |
(* x (- 1 (cos x))) |
(-.f64 x (*.f64 x (cos.f64 x))) |
(* x (+ 1 (* -1 (cos x)))) |
(-.f64 x (*.f64 x (cos.f64 x))) |
(* x (+ 1 (* -1 (cos x)))) |
(-.f64 x (*.f64 x (cos.f64 x))) |
(* x (+ 1 (* -1 (cos x)))) |
(-.f64 x (*.f64 x (cos.f64 x))) |
(* x (+ 1 (* -1 (cos x)))) |
(-.f64 x (*.f64 x (cos.f64 x))) |
x |
(* x (+ 1 (* -1/2 (pow x 2)))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/2 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2)) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2)) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(* -1 (/ (cos x) (pow x 2))) |
(neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))) |
(* -1 (/ (cos x) (pow x 2))) |
(neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))) |
(* -1 (/ (cos x) (pow x 2))) |
(neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))) |
(* -1 (/ (cos x) (pow x 2))) |
(neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))) |
(* -1 (/ (cos x) (pow x 2))) |
(neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))) |
(* -1 (/ (cos x) (pow x 2))) |
(neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))) |
(* -1 (/ (cos x) (pow x 2))) |
(neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))) |
(* -1 (/ (cos x) (pow x 2))) |
(neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
| 5 228× | lower-*.f32 |
| 5 216× | lower-*.f64 |
| 4 714× | lower-/.f32 |
| 4 698× | lower-/.f64 |
| 4 426× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 132 |
| 0 | 50 | 116 |
| 1 | 192 | 116 |
| 2 | 1687 | 116 |
| 0 | 8395 | 116 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (cos x) #s(literal 1 binary64)) |
(*.f64 x x) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) |
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x)) |
(-.f64 x (*.f64 x (cos.f64 x))) |
(*.f64 x (cos.f64 x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) |
(/.f64 (sin.f64 x) x) |
(neg.f64 x) |
| Outputs |
|---|
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) x))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 x x)) |
(/.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal -1 binary64)) (*.f64 x (neg.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) (*.f64 x x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) (*.f64 x (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) (*.f64 x (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x))) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) x) |
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x x))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 1 binary64))) (*.f64 x (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal -1 binary64))) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))) (*.f64 x (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))) (*.f64 x x)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) #s(literal -1 binary64))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x x)))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)))) (neg.f64 (neg.f64 x))) |
(pow.f64 (*.f64 (/.f64 x (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) x) #s(literal -1 binary64)) |
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (neg.f64 x)))) |
(*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (neg.f64 (neg.f64 x)))) |
(*.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) (neg.f64 (neg.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (neg.f64 x))) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x)) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (neg.f64 x))) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)) |
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(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (neg.f64 x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 (*.f64 (-.f64 x (*.f64 x (cos.f64 x))) #s(literal 1 binary64)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (-.f64 x (*.f64 x (cos.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x)) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (neg.f64 (neg.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (neg.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
(*.f64 (/.f64 (*.f64 (-.f64 x (*.f64 x (cos.f64 x))) #s(literal 1 binary64)) (neg.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 x (cos.f64 x)) #s(literal 3 binary64))) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (cos.f64 x)) (fma.f64 x (cos.f64 x) x) (*.f64 x x))) x)) |
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 x (cos.f64 x)) #s(literal 3 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (cos.f64 x)) (fma.f64 x (cos.f64 x) x) (*.f64 x x))) (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 x) x)) x)) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 x) x)) (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 x (cos.f64 x)) #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (*.f64 x (cos.f64 x)) (fma.f64 x (cos.f64 x) x) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (cos.f64 x) x))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 x (cos.f64 x)) #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 x (cos.f64 x)) (fma.f64 x (cos.f64 x) x) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (cos.f64 x) x))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (cos.f64 x)) (fma.f64 x (cos.f64 x) x) (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (fma.f64 (*.f64 x (cos.f64 x)) (fma.f64 x (cos.f64 x) x) (*.f64 x x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (/.f64 (fma.f64 x (cos.f64 x) x) (*.f64 x (*.f64 x x))) (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (fma.f64 x (cos.f64 x) x))) |
(*.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))) |
(exp.f64 (neg.f64 (log.f64 x))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 x)))) |
(pow.f64 x #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (*.f64 x (/.f64 x (cos.f64 x))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))) |
(neg.f64 (/.f64 (/.f64 (cos.f64 x) x) x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (/.f64 x (cos.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 x (/.f64 x (cos.f64 x)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (*.f64 x (/.f64 x (cos.f64 x))))))) |
(/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 x (/.f64 x (cos.f64 x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 (*.f64 x (/.f64 x (cos.f64 x)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 x x)))) |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (cos.f64 x))) (*.f64 x (neg.f64 x))) |
(/.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (neg.f64 (neg.f64 x))) |
(/.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x) |
(/.f64 (/.f64 (/.f64 (cos.f64 x) x) #s(literal -1 binary64)) x) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (/.f64 (cos.f64 x) (neg.f64 x))) (neg.f64 x)) |
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 x) x) #s(literal -1 binary64))) (neg.f64 x)) |
(pow.f64 (neg.f64 (*.f64 x (/.f64 x (cos.f64 x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (neg.f64 (*.f64 x (/.f64 x (cos.f64 x)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 x x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (neg.f64 x) (cos.f64 x)) #s(literal -1 binary64))) |
(*.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (*.f64 x x))) |
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (cos.f64 x) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (cos.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) (neg.f64 (neg.f64 x)))) |
(*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 (cos.f64 x) x) (*.f64 x x))) |
(*.f64 (/.f64 x (neg.f64 x)) (/.f64 (/.f64 (cos.f64 x) x) x)) |
(*.f64 (/.f64 (*.f64 x (cos.f64 x)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (cos.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 x (cos.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 x))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (sin.f64 x) (neg.f64 x))) |
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) x)) |
(/.f64 (sin.f64 x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (sin.f64 x) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 x))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) x) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) #s(literal -1 binary64))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 x)))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))) (neg.f64 x)) |
(pow.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sin.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(neg.f64 x) |
(/.f64 (*.f64 x x) (neg.f64 (+.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 x (neg.f64 x)) (+.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) x) |
Compiled 42 672 to 3 141 computations (92.6% saved)
40 alts after pruning (27 fresh and 13 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 188 | 6 | 2 194 |
| Fresh | 2 | 21 | 23 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 9 | 10 |
| Total | 2 192 | 40 | 2 232 |
| Status | Accuracy | Program |
|---|---|---|
| 40.8% | (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x)))) | |
| ✓ | 51.4% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) |
| 51.4% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 x x)))) | |
| 52.4% | (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x (/.f64 (cos.f64 x) (neg.f64 x))) x) | |
| 29.9% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x) (neg.f64 (cos.f64 x))) (*.f64 x x)) | |
| ✓ | 52.2% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (/.f64 (cos.f64 x) (neg.f64 x))) x) |
| 25.2% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x #s(approx (/ (cos x) (neg x)) (/.f64 #s(literal -1 binary64) x))) x) | |
| 15.3% | (/.f64 (fma.f64 x x (*.f64 (*.f64 x (neg.f64 x)) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| ✓ | 51.7% | (/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x)) |
| ✓ | 52.6% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| 30.1% | (/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) | |
| 18.7% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 x x) (neg.f64 (cos.f64 x)))))) x) | |
| 52.5% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) | |
| 15.0% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x)))) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| ✓ | 40.1% | (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) |
| ✓ | 51.7% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ✓ | 24.2% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| 51.6% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) | |
| 77.1% | (/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 x x)) | |
| ✓ | 51.5% | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
| 52.1% | (/.f64 #s(literal -1 binary64) (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x))) | |
| 52.1% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal -1 binary64) x)) x)) | |
| ✓ | 51.4% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 x))) (*.f64 x x))) |
| 52.5% | (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ 1 (+ -1 (cos x))) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 x x))) | |
| 72.7% | (/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (+ (cos x) -1)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -2 binary64)))) | |
| 75.2% | (/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (+ (cos x) -1)) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64)))) | |
| 25.3% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 x #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) | |
| 51.8% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| 51.9% | (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) | |
| 52.6% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x)) | |
| 77.7% | (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x)) | |
| ✓ | 99.8% | (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x)) |
| 40.1% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 x (*.f64 x (cos.f64 x)))) | |
| 76.8% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) | |
| ✓ | 51.7% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
| 51.8% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) | |
| 50.8% | (*.f64 #s(approx (* (tan (* x 1/2)) (/ (sin x) x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) x)) | |
| 50.1% | #s(approx (/ (/ (- x (* x (cos x))) x) (* x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) | |
| ✓ | 49.6% | #s(approx (/ (- 1 (cos x)) (/ 1 (/ 1 (* x x)))) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
| ✓ | 50.8% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 1 296 to 485 computations (62.6% 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)) (/ 1 (/ 1 (* x x)))) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(*.f64 #s(approx (* (tan (* x 1/2)) (/ (sin x) x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (/ 1 (/ 1 (* x x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- x (* x (cos x))) (* x (* x x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- x (* x (cos x))) x) (* x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (+ (cos x) -1)) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (+ (cos x) -1)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -2 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ 1 (+ -1 (cos x))) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 x x))) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x #s(approx (/ (cos x) (neg x)) (/.f64 #s(literal -1 binary64) x))) x) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 x #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x)) |
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(*.f64 (-.f64 x (*.f64 x (cos.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 x (*.f64 x (cos.f64 x)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 x))) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) |
(fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 x (neg.f64 x)) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x) (neg.f64 (cos.f64 x))) (*.f64 x x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x)))) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (/.f64 (cos.f64 x) (neg.f64 x))) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x)))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (fma.f64 x (neg.f64 x) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x)))) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal -1 binary64) x)) x)) |
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x (/.f64 (cos.f64 x) (neg.f64 x))) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 x x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 x x) (neg.f64 (cos.f64 x)))))) x) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) |
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) |
(*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 #s(literal 1 binary64) x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
| Outputs |
|---|
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x)) |
2 calls:
| 56.0ms | x |
| 15.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(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)) (/ 1 (/ 1 (* x x)))) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(*.f64 #s(approx (* (tan (* x 1/2)) (/ (sin x) x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (/ 1 (/ 1 (* x x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- x (* x (cos x))) (* x (* x x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- x (* x (cos x))) x) (* x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (+ (cos x) -1)) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (+ (cos x) -1)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -2 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ 1 (+ -1 (cos x))) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 x x))) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x #s(approx (/ (cos x) (neg x)) (/.f64 #s(literal -1 binary64) x))) x) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 x #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x)) |
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(*.f64 (-.f64 x (*.f64 x (cos.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 x (*.f64 x (cos.f64 x)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 x))) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) |
(fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 x (neg.f64 x)) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x) (neg.f64 (cos.f64 x))) (*.f64 x x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x)))) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (/.f64 (cos.f64 x) (neg.f64 x))) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x)))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (fma.f64 x (neg.f64 x) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x)))) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal -1 binary64) x)) x)) |
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x (/.f64 (cos.f64 x) (neg.f64 x))) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 x x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 x x) (neg.f64 (cos.f64 x)))))) x) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) |
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
2 calls:
| 44.0ms | x |
| 12.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 2 | x |
| 99.3% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (/ 1 (/ 1 (* x x)))) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(*.f64 #s(approx (* (tan (* x 1/2)) (/ (sin x) x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (/ 1 (/ 1 (* x x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- x (* x (cos x))) (* x (* x x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- x (* x (cos x))) x) (* x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (+ (cos x) -1)) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (+ (cos x) -1)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -2 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ 1 (+ -1 (cos x))) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 x x))) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x #s(approx (/ (cos x) (neg x)) (/.f64 #s(literal -1 binary64) x))) x) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 x #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (/ 1 (/ 1 (* x x)))) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(*.f64 #s(approx (* (tan (* x 1/2)) (/ (sin x) x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (/ 1 (/ 1 (* x x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- x (* x (cos x))) (* x (* x x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- x (* x (cos x))) x) (* x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (+ (cos x) -1)) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (+ (cos x) -1)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -2 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ 1 (+ -1 (cos x))) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 x x))) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x #s(approx (/ (cos x) (neg x)) (/.f64 #s(literal -1 binary64) x))) x) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 x #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (+ (cos x) -1)) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64)))) |
2 calls:
| 4.0ms | x |
| 4.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.2% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 75.2% | 1 | x |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (/ 1 (/ 1 (* x x)))) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(*.f64 #s(approx (* (tan (* x 1/2)) (/ (sin x) x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (/ 1 (/ 1 (* x x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- x (* x (cos x))) (* x (* x x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- x (* x (cos x))) x) (* x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) |
| 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)) |
2 calls:
| 3.0ms | x |
| 3.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.5% | 2 | x |
| 50.8% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
Compiled 11 to 7 computations (36.4% saved)
Total -0.9b remaining (-2.9%)
Threshold costs -0.9b (-2.9%)
| 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)) (/ 1 (/ 1 (* x x)))) (fma.f64 x (*.f64 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 |
| 1.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.8% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 50.8% | 1 | x |
Compiled 11 to 7 computations (36.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 0.001676761530808194 | 15154.333830885129 |
| 7.0ms | 144× | 0 | valid |
Compiled 228 to 145 computations (36.4% saved)
ival-cos: 2.0ms (46.1% of total)ival-sub: 1.0ms (23% of total)ival-div: 1.0ms (23% of total)ival-mult: 1.0ms (23% 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 | 0.001676761530808194 | 15154.333830885129 |
Compiled 228 to 145 computations (36.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 2.0402901785114361e+74 | 9.730829053613147e+79 |
| 10.0ms | 144× | 0 | valid |
Compiled 138 to 91 computations (34.1% saved)
ival-cos: 5.0ms (65.8% of total)ival-sub: 1.0ms (13.2% of total)ival-div: 1.0ms (13.2% of total)ival-mult: 1.0ms (13.2% 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 |
| 10× | *-commutative_binary64 |
| 8× | +-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 4× | neg-sub0_binary64 |
| 4× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 126 |
| 1 | 54 | 126 |
| 2 | 60 | 126 |
| 3 | 64 | 126 |
| 4 | 66 | 126 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x)) |
(if (<=.f64 x #s(literal 1261007895663739/36028797018963968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) |
(if (<=.f64 x #s(literal 1261007895663739/36028797018963968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (+ (cos x) -1)) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64)))) |
(if (<=.f64 x #s(literal 5399999999999999964875878311271286183889008138838712158713964267942344392704 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 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x)) |
(if (<=.f64 x #s(literal 1261007895663739/36028797018963968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) |
(if (<=.f64 x #s(literal 1261007895663739/36028797018963968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (+ (cos x) -1)) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64)))) |
(if (<=.f64 x #s(literal 5399999999999999964875878311271286183889008138838712158713964267942344392704 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 |
| 14 160× | lower-fma.f64 |
| 14 160× | lower-fma.f32 |
| 5 290× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 119 | 1426 |
| 1 | 301 | 1426 |
| 2 | 765 | 1420 |
| 3 | 2327 | 1420 |
| 4 | 4322 | 1420 |
| 5 | 4901 | 1420 |
| 6 | 7742 | 1420 |
| 0 | 8058 | 1348 |
| 0 | 42 | 284 |
| 1 | 105 | 284 |
| 2 | 258 | 284 |
| 3 | 609 | 284 |
| 4 | 1279 | 284 |
| 5 | 2001 | 284 |
| 6 | 2304 | 284 |
| 7 | 3158 | 284 |
| 8 | 4639 | 284 |
| 9 | 6288 | 284 |
| 10 | 7157 | 284 |
| 11 | 7373 | 284 |
| 12 | 7391 | 284 |
| 13 | 7393 | 284 |
| 14 | 7798 | 284 |
| 0 | 8007 | 266 |
| 0 | 26 | 106 |
| 0 | 41 | 94 |
| 1 | 159 | 91 |
| 2 | 995 | 91 |
| 0 | 8408 | 91 |
| 0 | 6 | 17 |
| 0 | 10 | 17 |
| 1 | 40 | 17 |
| 2 | 268 | 17 |
| 3 | 2810 | 17 |
| 0 | 9656 | 17 |
| 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 |
Compiled 192 to 101 computations (47.4% saved)
(abs x)
Compiled 212 to 96 computations (54.7% saved)
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