
Time bar (total: 11.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 2 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 3 |
| 87.5% | 87.5% | 12.5% | 0% | 0% | 0% | 0% | 4 |
| 93.8% | 93.7% | 6.2% | 0% | 0% | 0% | 0% | 5 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 6 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 7 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 8 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 9 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 10 |
| 99.9% | 99.9% | 0.1% | 0% | 0% | 0% | 0% | 11 |
| 100% | 99.9% | 0% | 0% | 0% | 0% | 0% | 12 |
Compiled 10 to 8 computations (20% saved)
| 681.0ms | 2 286× | 2 | valid |
| 585.0ms | 4 187× | 0 | valid |
| 293.0ms | 1 240× | 1 | valid |
| 267.0ms | 543× | 3 | valid |
ival-cos: 881.0ms (68.9% of total)adjust: 115.0ms (9% of total)ival-sub: 115.0ms (9% of total)ival-div: 95.0ms (7.4% of total)ival-mult: 58.0ms (4.5% of total)ival-true: 6.0ms (0.5% of total)exact: 5.0ms (0.4% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 76 | 0 | - | 76 | (1.2711083237621676e-205) | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 56 | 74 | (-1.5671978123092728e-236) | 1 | (-1.0600950034955837e+287) | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (cos.f64 x) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | cancellation | 129 | 13 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 128 | 1 |
| - | 1 | 126 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 128 | 0 | 1 |
| - | 1 | 13 | 113 |
| number | freq |
|---|---|
| 0 | 127 |
| 1 | 129 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 81.0ms | 174× | 2 | valid |
| 21.0ms | 268× | 0 | valid |
| 8.0ms | 24× | 3 | valid |
| 5.0ms | 46× | 1 | valid |
Compiled 71 to 31 computations (56.3% saved)
ival-cos: 70.0ms (72.2% of total)ival-sub: 11.0ms (11.3% of total)ival-div: 6.0ms (6.2% of total)adjust: 6.0ms (6.2% of total)ival-mult: 4.0ms (4.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 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 |
|---|---|---|
| ▶ | 51.9% | (/.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 | 11.881178270132175 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| accuracy | 18.180158897676108 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 28.0ms | 87× | 2 | valid |
| 16.0ms | 134× | 0 | valid |
| 7.0ms | 12× | 3 | valid |
| 2.0ms | 23× | 1 | valid |
Compiled 21 to 8 computations (61.9% saved)
ival-cos: 31.0ms (70.2% of total)ival-div: 6.0ms (13.6% of total)adjust: 3.0ms (6.8% of total)ival-sub: 2.0ms (4.5% of total)ival-mult: 2.0ms (4.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))> |
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))> |
#<alt (cos.f64 x)> |
#<alt (*.f64 x x)> |
| Outputs |
|---|
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/ (- 1 (cos x)) (* x x)) |
| 0.0ms | x | @ | inf | (* x x) |
| 0.0ms | x | @ | -inf | (/ (- 1 (cos x)) (* x x)) |
| 0.0ms | x | @ | 0 | (/ (- 1 (cos x)) (* x x)) |
| 0.0ms | x | @ | 0 | (cos x) |
| 1× | 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))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) |
(exp.f64 (log.f64 (cos.f64 x))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64))) |
(cos.f64 x) |
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))) |
(neg.f64 (neg.f64 (cos.f64 x))) |
(pow.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 x)) |
(*.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x))) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 x (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) x))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 x (neg.f64 (neg.f64 x))) |
(*.f64 x (/.f64 x #s(literal 1 binary64))) |
(*.f64 x (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 x (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 1 binary64) x) x) |
(*.f64 (neg.f64 (neg.f64 x)) x) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
Compiled 15 767 to 1 639 computations (89.6% saved)
23 alts after pruning (22 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 655 | 22 | 677 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 655 | 23 | 678 |
| Status | Accuracy | Program |
|---|---|---|
| 51.8% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) | |
| 51.8% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (cos.f64 x)))) | |
| ▶ | 24.1% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) |
| 52.9% | (/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x)) | |
| 33.6% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| 52.9% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) | |
| 13.1% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| 13.1% | (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| 45.5% | (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) | |
| ✓ | 51.9% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 29.5% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| 70.4% | (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (*.f64 x x)) | |
| 70.7% | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) | |
| ▶ | 52.1% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
| 13.0% | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) | |
| 52.9% | (*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) | |
| ▶ | 71.5% | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
| ▶ | 51.8% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
| 71.4% | (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) | |
| 50.9% | #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))) | |
| 50.6% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) | |
| 50.4% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) | |
| ▶ | 51.0% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 615 to 354 computations (42.4% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) | |
| cost-diff | 320 | (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) | |
| cost-diff | 1664 | (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 (cos.f64 x) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) | |
| cost-diff | 1024 | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| cost-diff | 0 | (+.f64 (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 | (*.f64 x x) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (/.f64 (sin.f64 x) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
| 3 982× | lower-fma.f64 |
| 3 982× | lower-fma.f32 |
| 3 510× | lower-*.f32 |
| 3 500× | lower-*.f64 |
| 1 820× | lower-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 156 |
| 0 | 46 | 136 |
| 1 | 94 | 136 |
| 2 | 219 | 130 |
| 3 | 511 | 128 |
| 4 | 1336 | 128 |
| 5 | 2889 | 128 |
| 6 | 4786 | 128 |
| 7 | 6035 | 128 |
| 8 | 7063 | 128 |
| 0 | 8001 | 128 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(sin.f64 x) |
x |
(*.f64 x x) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 #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 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
x |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(cos.f64 x) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) |
(*.f64 x x) |
x |
(*.f64 x (*.f64 x (cos.f64 x))) |
(*.f64 x (cos.f64 x)) |
(cos.f64 x) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(sin.f64 x) |
x |
(*.f64 x x) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.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 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
x |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(cos.f64 x) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) |
(*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)) |
(*.f64 x x) |
x |
(*.f64 x (*.f64 x (cos.f64 x))) |
(*.f64 x (cos.f64 x)) |
(cos.f64 x) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.109375 | (*.f64 x (cos.f64 x)) | |
| accuracy | 12.947562899549427 | (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) | |
| accuracy | 18.180158897676108 | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) | |
| accuracy | 42.087710047737545 | (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) | |
| accuracy | 0 | (cos.f64 x) | |
| accuracy | 0.1752427024490255 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) | |
| accuracy | 0.18719550810747296 | (/.f64 (cos.f64 x) (*.f64 x x)) | |
| accuracy | 29.80981217597294 | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| accuracy | 0 | (cos.f64 x) | |
| accuracy | 0.1752427024490255 | (/.f64 #s(literal -1 binary64) (*.f64 x x)) | |
| accuracy | 11.881178270132175 | (+.f64 (cos.f64 x) #s(literal -1 binary64)) | |
| accuracy | 18.55368769667586 | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) | |
| accuracy | 31.365987016329434 | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) | |
| accuracy | 0.00390625 | (tan.f64 (/.f64 x #s(literal 2 binary64))) | |
| accuracy | 0.00390625 | (sin.f64 x) | |
| accuracy | 0.19369125976844204 | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) | |
| accuracy | 17.526792637973227 | (/.f64 (sin.f64 x) (*.f64 x x)) |
| 62.0ms | 86× | 2 | valid |
| 33.0ms | 134× | 0 | valid |
| 15.0ms | 12× | 3 | valid |
| 9.0ms | 24× | 1 | valid |
Compiled 156 to 27 computations (82.7% saved)
ival-cos: 32.0ms (33.5% of total)ival-div: 22.0ms (23% of total)ival-mult: 13.0ms (13.6% of total)adjust: 9.0ms (9.4% of total)ival-sub: 6.0ms (6.3% of total)ival-sin: 6.0ms (6.3% of total)ival-tan: 5.0ms (5.2% of total)ival-add: 2.0ms (2.1% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))> |
#<alt (/.f64 (sin.f64 x) (*.f64 x x))> |
#<alt (sin.f64 x)> |
#<alt (*.f64 x x)> |
#<alt #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))> |
#<alt (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))> |
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x x))> |
#<alt (+.f64 (cos.f64 x) #s(literal -1 binary64))> |
#<alt (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x x))> |
#<alt (/.f64 (cos.f64 x) (*.f64 x x))> |
#<alt (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x))> |
#<alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x))))> |
#<alt (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x))> |
#<alt (tan.f64 (/.f64 x #s(literal 2 binary64)))> |
#<alt (cos.f64 x)> |
#<alt (*.f64 x (cos.f64 x))> |
| Outputs |
|---|
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* -1/6 (pow x 2))) x)> |
#<alt (/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)> |
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)> |
#<alt (/ (sin x) (pow x 2))> |
#<alt (/ (sin x) (pow x 2))> |
#<alt (/ (sin x) (pow x 2))> |
#<alt (/ (sin x) (pow x 2))> |
#<alt (/ (sin x) (pow x 2))> |
#<alt (/ (sin x) (pow x 2))> |
#<alt (/ (sin x) (pow x 2))> |
#<alt (/ (sin x) (pow x 2))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))> |
#<alt (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))> |
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))> |
#<alt (/ (cos x) (pow x 2))> |
#<alt (/ (cos x) (pow x 2))> |
#<alt (/ (cos x) (pow x 2))> |
#<alt (/ (cos x) (pow x 2))> |
#<alt (/ (cos x) (pow x 2))> |
#<alt (/ (cos x) (pow x 2))> |
#<alt (/ (cos x) (pow x 2))> |
#<alt (/ (cos x) (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (* 1/2 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt x> |
#<alt (* x (+ 1 (* -1/2 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (* (/ (sin x) (* x x)) (tan (/ x 2))) |
| 1.0ms | x | @ | 0 | (/ -1 (* x x)) |
| 1.0ms | x | @ | -inf | (* (/ (sin x) (* x x)) (tan (/ x 2))) |
| 0.0ms | x | @ | -inf | (* (/ -1 (* x x)) (+ (cos x) -1)) |
| 0.0ms | x | @ | inf | (* (/ -1 (* x x)) (+ (cos x) -1)) |
| 1× | egg-herbie |
| 13 824× | lower-fma.f64 |
| 13 824× | lower-fma.f32 |
| 5 690× | lower-*.f64 |
| 5 690× | lower-*.f32 |
| 3 086× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 119 | 1552 |
| 1 | 323 | 1552 |
| 2 | 814 | 1540 |
| 3 | 2532 | 1540 |
| 4 | 4861 | 1540 |
| 5 | 5531 | 1540 |
| 0 | 8086 | 1456 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ 1 x) |
(/ (+ 1 (* -1/6 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x) |
(/ (sin x) (pow x 2)) |
(/ (sin x) (pow x 2)) |
(/ (sin x) (pow x 2)) |
(/ (sin x) (pow x 2)) |
(/ (sin x) (pow x 2)) |
(/ (sin x) (pow x 2)) |
(/ (sin x) (pow x 2)) |
(/ (sin x) (pow x 2)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2)) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2)) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2)) |
(/ (cos x) (pow x 2)) |
(/ (cos x) (pow x 2)) |
(/ (cos x) (pow x 2)) |
(/ (cos x) (pow x 2)) |
(/ (cos x) (pow x 2)) |
(/ (cos x) (pow x 2)) |
(/ (cos x) (pow x 2)) |
(/ (cos x) (pow x 2)) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(* 1/2 (pow x 4)) |
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* (pow x 2) (- 1 (cos x))) |
(* (pow x 2) (- 1 (cos x))) |
(* (pow x 2) (- 1 (cos x))) |
(* (pow x 2) (- 1 (cos x))) |
(* (pow x 2) (- 1 (cos x))) |
(* (pow x 2) (- 1 (cos x))) |
(* (pow x 2) (- 1 (cos x))) |
(* (pow x 2) (- 1 (cos x))) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
x |
(* x (+ 1 (* -1/2 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1/6 (pow x 2))) x) |
(/.f64 (fma.f64 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 x (*.f64 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 (*.f64 x x) (fma.f64 x (*.f64 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 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(* -1 (/ (- (cos x) 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)) |
(* -1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
(- (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 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x)) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x)) |
(/ (cos x) (pow x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(/ (cos x) (pow x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(/ (cos x) (pow x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(/ (cos x) (pow x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(/ (cos x) (pow x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(/ (cos x) (pow x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(/ (cos x) (pow x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(/ (cos x) (pow x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(* 1/2 (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 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) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(* 1/2 (pow x 4)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (fma.f64 x (*.f64 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 (*.f64 x x)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (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 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
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)) |
| 4 526× | lower-/.f32 |
| 4 512× | lower-/.f64 |
| 4 382× | lower-fma.f64 |
| 4 382× | lower-fma.f32 |
| 3 154× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 126 |
| 0 | 46 | 106 |
| 1 | 191 | 103 |
| 2 | 1664 | 101 |
| 0 | 8590 | 101 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(sin.f64 x) |
(*.f64 x x) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
(*.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 (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 x x)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(cos.f64 x) |
(*.f64 x (cos.f64 x)) |
| Outputs |
|---|
(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 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (neg.f64 x)))) |
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x))) (*.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 #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) (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 (/.f64 (*.f64 x x) (sin.f64 x)) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (neg.f64 x)) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) (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))) (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) x) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)))) |
(/.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 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))))) |
(/.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) (sin.f64 x)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) (sin.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (*.f64 x (neg.f64 x)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (neg.f64 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) x)) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 x 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 (/.f64 (sin.f64 x) (*.f64 x x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) x) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x) |
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x) x) |
(/.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (*.f64 x x) (neg.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (*.f64 (*.f64 x (neg.f64 x)) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (*.f64 x (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))) (neg.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (neg.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x))) (neg.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) x))) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x)))) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x)) (neg.f64 x)) |
(pow.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64)) |
(*.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (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 x x) (sin.f64 x))))) |
(*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (neg.f64 x)) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)))) |
(*.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) (/.f64 #s(literal 1 binary64) (*.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 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) x))) |
(*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (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) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x) (/.f64 #s(literal 1 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (sin.f64 x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x))) (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x)))) |
(neg.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x)))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (sin.f64 x))) |
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(*.f64 (*.f64 (*.f64 (neg.f64 x) (-.f64 x (*.f64 x (cos.f64 x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (cos.f64 x)) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (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) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) (*.f64 (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)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x (neg.f64 x))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) (-.f64 x (*.f64 x (cos.f64 x)))) x) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (cos.f64 x)) x))) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(*.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x (neg.f64 x))))) |
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (cos.f64 x) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x (neg.f64 x))))) |
(*.f64 (neg.f64 (-.f64 x (*.f64 x (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x 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 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 x)) x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.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) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1/2 binary64))) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(neg.f64 (tan.f64 (*.f64 x #s(literal -1/2 binary64)))) |
(neg.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(cos.f64 x) |
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))) |
(neg.f64 (neg.f64 (cos.f64 x))) |
(*.f64 #s(literal 1 binary64) (cos.f64 x)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x))) |
(*.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) |
(*.f64 x (cos.f64 x)) |
(*.f64 (cos.f64 x) x) |
Compiled 42 623 to 2 402 computations (94.4% saved)
28 alts after pruning (24 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 836 | 19 | 1 855 |
| Fresh | 12 | 5 | 17 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 850 | 28 | 1 878 |
| Status | Accuracy | Program |
|---|---|---|
| 52.9% | (fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) | |
| ▶ | 51.8% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) |
| 14.5% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (*.f64 x (*.f64 x (*.f64 x x)))))) | |
| 24.2% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) | |
| 2.7% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) (*.f64 x x)) (*.f64 x x)) | |
| ▶ | 52.9% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| 24.2% | (/.f64 (/.f64 (*.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x)) (*.f64 x x)) | |
| 24.2% | (/.f64 (/.f64 #s(approx (- (* x x) (* x (* x (cos x)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) | |
| 9.6% | (/.f64 (/.f64 #s(approx (- (* x x) (* x (* x (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) (*.f64 x x)) | |
| 52.9% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) | |
| 13.1% | (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| 45.5% | (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) | |
| ✓ | 51.9% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 29.5% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| 52.9% | (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (cos.f64 x))) x) | |
| 70.7% | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) | |
| ✓ | 52.1% | (-.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))) | |
| 52.9% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x)) | |
| ▶ | 99.8% | (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) |
| ✓ | 51.8% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
| 45.5% | (*.f64 (-.f64 x (*.f64 x (cos.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) | |
| ▶ | 51.9% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
| 71.5% | (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) | |
| 50.6% | #s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x 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))) | |
| 50.9% | #s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) | |
| ▶ | 50.4% | #s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
| ✓ | 51.0% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 732 to 404 computations (44.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (/.f64 (cos.f64 x) (*.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 #s(literal -1 binary64) x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 320 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) | |
| cost-diff | 704 | (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) | |
| cost-diff | 384 | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (/.f64 (sin.f64 x) x) | |
| cost-diff | 384 | (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) |
| 4 040× | lower-fma.f32 |
| 4 036× | lower-fma.f64 |
| 3 986× | lower-*.f32 |
| 3 974× | lower-*.f64 |
| 1 788× | lower-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 159 |
| 0 | 57 | 171 |
| 1 | 117 | 169 |
| 2 | 283 | 145 |
| 3 | 718 | 137 |
| 4 | 1548 | 137 |
| 5 | 3151 | 137 |
| 6 | 4786 | 137 |
| 7 | 6025 | 137 |
| 8 | 7027 | 137 |
| 9 | 7954 | 137 |
| 0 | 8296 | 137 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) |
(/.f64 (sin.f64 x) x) |
(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(literal 1/2 binary64) |
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
#s(literal -1/24 binary64) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(*.f64 (*.f64 (/.f64 #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) x) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(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) |
#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 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) |
(/.f64 (sin.f64 x) x) |
(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(literal 1/2 binary64) |
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
#s(literal -1/24 binary64) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(*.f64 (*.f64 (/.f64 #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) (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(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 (-.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 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0 | (cos.f64 x) | |
| accuracy | 0.18719550810747296 | (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) | |
| accuracy | 30.754839263035322 | (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 | (cos.f64 x) | |
| accuracy | 0.2109375 | (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) | |
| accuracy | 11.881178270132175 | (+.f64 (cos.f64 x) #s(literal -1 binary64)) | |
| accuracy | 18.55368769667586 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) | |
| accuracy | 0 | (cos.f64 x) | |
| accuracy | 0.06640625 | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| accuracy | 11.881178270132175 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| accuracy | 17.515377541591484 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.07421875 | (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) | |
| accuracy | 31.758379241788926 | #s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) | |
| accuracy | 0.00390625 | (sin.f64 x) | |
| accuracy | 0.08431625976844201 | (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) | |
| accuracy | 0.09375 | (/.f64 (sin.f64 x) x) | |
| accuracy | 0.12890625 | (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) |
| 73.0ms | 86× | 2 | valid |
| 43.0ms | 134× | 0 | valid |
| 15.0ms | 12× | 3 | valid |
| 11.0ms | 24× | 1 | valid |
Compiled 156 to 35 computations (77.6% saved)
ival-cos: 30.0ms (26.3% of total)ival-div: 23.0ms (20.2% of total)ival-mult: 23.0ms (20.2% of total)adjust: 11.0ms (9.7% of total)ival-add: 7.0ms (6.1% of total)ival-sin: 6.0ms (5.3% of total)ival-tan: 5.0ms (4.4% of total)ival-sub: 4.0ms (3.5% of total)const: 4.0ms (3.5% of total)ival-neg: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x))> |
#<alt (/.f64 (sin.f64 x) x)> |
#<alt (sin.f64 x)> |
#<alt (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)> |
#<alt #s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))> |
#<alt (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))> |
#<alt (*.f64 x x)> |
#<alt (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)> |
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)> |
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))> |
#<alt (cos.f64 x)> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x))> |
#<alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) x)> |
#<alt (/.f64 #s(literal -1 binary64) x)> |
#<alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))> |
#<alt (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))> |
#<alt (+.f64 (cos.f64 x) #s(literal -1 binary64))> |
#<alt (neg.f64 x)> |
| Outputs |
|---|
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))> |
#<alt (/ (sin x) x)> |
#<alt (/ (sin x) x)> |
#<alt (/ (sin x) x)> |
#<alt (/ (sin x) x)> |
#<alt (/ (sin x) x)> |
#<alt (/ (sin x) x)> |
#<alt (/ (sin x) x)> |
#<alt (/ (sin x) x)> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))> |
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))> |
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))> |
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))> |
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))> |
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))> |
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))> |
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))> |
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))> |
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (* -1/24 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* -1/24 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))> |
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))> |
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))> |
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))> |
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))> |
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))> |
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))> |
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ (- (* 1/2 (pow x 2)) 1) (pow x 2))> |
#<alt (/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))> |
#<alt (/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2))> |
#<alt (* -1 (/ (cos x) (pow x 2)))> |
#<alt (* -1 (/ (cos x) (pow x 2)))> |
#<alt (* -1 (/ (cos x) (pow x 2)))> |
#<alt (* -1 (/ (cos x) (pow x 2)))> |
#<alt (* -1 (/ (cos x) (pow x 2)))> |
#<alt (* -1 (/ (cos x) (pow x 2)))> |
#<alt (* -1 (/ (cos x) (pow x 2)))> |
#<alt (* -1 (/ (cos x) (pow x 2)))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/ (tan (* x 1/2)) x) |
| 0.0ms | x | @ | -inf | (/ (sin x) x) |
| 0.0ms | x | @ | -inf | (/ (- 1 (cos x)) x) |
| 0.0ms | x | @ | inf | (/ (tan (* x 1/2)) x) |
| 0.0ms | x | @ | -inf | (/ 1 x) |
| 1× | egg-herbie |
| 12 058× | lower-fma.f64 |
| 12 058× | lower-fma.f32 |
| 3 916× | lower-*.f64 |
| 3 916× | lower-*.f32 |
| 3 026× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 119 | 1552 |
| 1 | 315 | 1552 |
| 2 | 771 | 1536 |
| 3 | 2243 | 1534 |
| 4 | 4778 | 1534 |
| 5 | 6889 | 1534 |
| 0 | 8332 | 1450 |
| 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 |
(+ 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) |
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) (+ 1/24 (* 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 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* -1/24 (pow x 2))) |
(* -1/24 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* -1/24 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
1/2 |
(+ 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 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 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 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ -1 (pow x 2)) |
(/ (- (* 1/2 (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))) |
(* -1/2 (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 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)) |
(+ 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 (*.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 |
#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 x (*.f64 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) |
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 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 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) (+ 1/24 (* 1/240 (pow x 2))))) |
(fma.f64 x (*.f64 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)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 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 #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 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #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)) |
(* -1/24 (pow x 2)) |
(*.f64 #s(literal -1/24 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(* -1/24 (pow x 2)) |
(*.f64 #s(literal -1/24 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #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 (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 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/ (- 1 (cos x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (- 1 (cos x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (- 1 (cos x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (- 1 (cos x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (- 1 (cos x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (- 1 (cos x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (- 1 (cos x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (- 1 (cos x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(* 1/2 (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 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.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) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
1/2 |
#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 (/ (- (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 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
1/2 |
#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 (* -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 (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)) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2)) |
(+.f64 (fma.f64 (*.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) (*.f64 x x))) |
(* -1 (/ (cos x) (pow x 2))) |
(/.f64 (cos.f64 x) (neg.f64 (*.f64 x x))) |
(* -1 (/ (cos x) (pow x 2))) |
(/.f64 (cos.f64 x) (neg.f64 (*.f64 x x))) |
(* -1 (/ (cos x) (pow x 2))) |
(/.f64 (cos.f64 x) (neg.f64 (*.f64 x x))) |
(* -1 (/ (cos x) (pow x 2))) |
(/.f64 (cos.f64 x) (neg.f64 (*.f64 x x))) |
(* -1 (/ (cos x) (pow x 2))) |
(/.f64 (cos.f64 x) (neg.f64 (*.f64 x x))) |
(* -1 (/ (cos x) (pow x 2))) |
(/.f64 (cos.f64 x) (neg.f64 (*.f64 x x))) |
(* -1 (/ (cos x) (pow x 2))) |
(/.f64 (cos.f64 x) (neg.f64 (*.f64 x x))) |
(* -1 (/ (cos x) (pow x 2))) |
(/.f64 (cos.f64 x) (neg.f64 (*.f64 x x))) |
(* -1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x 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 (*.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) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) |
(- (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 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) |
| 4 544× | lower-*.f32 |
| 4 532× | lower-*.f64 |
| 4 420× | lower-/.f32 |
| 4 406× | lower-/.f64 |
| 3 760× | lower-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 129 |
| 0 | 57 | 139 |
| 1 | 236 | 122 |
| 2 | 2045 | 106 |
| 0 | 8163 | 106 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) |
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal -1 binary64) 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 (cos.f64 x) (*.f64 x (neg.f64 x))) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(neg.f64 x) |
| Outputs |
|---|
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.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 #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 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 x (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.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 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 x (sin.f64 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 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) 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 (*.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 (neg.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (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 (/.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 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) (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 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) (neg.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64))) (neg.f64 (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (*.f64 (/.f64 x (sin.f64 x)) x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (neg.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 x) (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 x (neg.f64 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 #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)))) (sin.f64 x))) (*.f64 x 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))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 x x)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))) (neg.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (neg.f64 (neg.f64 x))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (*.f64 x x)))) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) |
(*.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))) x) (pow.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x))) |
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (/.f64 (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x (neg.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) (/.f64 (*.f64 x (neg.f64 x)) (cos.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x (neg.f64 x)) (cos.f64 x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x (neg.f64 x)) (cos.f64 x))))) |
(/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (neg.f64 x)) (cos.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) (cos.f64 x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 x) (/.f64 (cos.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 (/.f64 #s(literal -1 binary64) x) (cos.f64 x)) x) |
(/.f64 (*.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) x)) 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 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) x))) (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 (/.f64 (*.f64 x (neg.f64 x)) (cos.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (neg.f64 x) (/.f64 (cos.f64 x) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) |
(*.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (/.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 (neg.f64 x) (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 (/.f64 #s(literal 1 binary64) x) (cos.f64 x))) |
(*.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 (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) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (cos.f64 x)) |
(+.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (cos.f64 x)))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(-.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 (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 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal -1 binary64) (cos.f64 x)))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 x) #s(literal -1 binary64)) |
(fma.f64 (cos.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) |
(neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.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) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (cos.f64 x))))) |
(/.f64 (-.f64 #s(literal 1 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 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal -1 binary64) (cos.f64 x))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (cos.f64 x)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (neg.f64 (-.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 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (neg.f64 (cos.f64 x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (neg.f64 (cos.f64 x))) (neg.f64 (neg.f64 (cos.f64 x)))) (*.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (cos.f64 x))))))) |
(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (-.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) (-.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) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 (neg.f64 (-.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 #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 x #s(literal -1 binary64)) |
(/.f64 (*.f64 x x) (neg.f64 (+.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 x) #s(literal 1 binary64)) |
(/.f64 (*.f64 x (neg.f64 x)) (+.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64)) |
(/.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))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 1 binary64)) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) x) |
Compiled 37 441 to 2 471 computations (93.4% saved)
37 alts after pruning (28 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 920 | 16 | 1 936 |
| Fresh | 7 | 12 | 19 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 927 | 37 | 1 964 |
| Status | Accuracy | Program |
|---|---|---|
| 52.9% | (fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) | |
| 51.9% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x)) | |
| ✓ | 51.8% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) |
| 51.8% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (cos.f64 x))) | |
| 29.9% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (cos x) (* x (neg x))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) | |
| 18.2% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (neg.f64 x)) (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x (neg.f64 x)))) | |
| 52.6% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (*.f64 x (/.f64 (cos.f64 x) (neg.f64 x)))) (*.f64 x x)) | |
| 2.7% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) (*.f64 x x)) (*.f64 x x)) | |
| ✓ | 52.9% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| 9.6% | (/.f64 (/.f64 #s(approx (- (* x x) (* x (* x (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) (*.f64 x x)) | |
| 22.4% | (/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x) | |
| 24.2% | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) | |
| 52.9% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) | |
| ▶ | 13.1% | (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
| 45.5% | (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) | |
| ✓ | 51.9% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ▶ | 29.5% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| 24.2% | (/.f64 (*.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) | |
| 52.9% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) | |
| 70.7% | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) | |
| 13.1% | (/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 x (cos.f64 x))))) (*.f64 (*.f64 x x) (*.f64 x (neg.f64 x)))) | |
| ▶ | 50.6% | (/.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) x) |
| 52.8% | (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))) | |
| ✓ | 52.1% | (-.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))) |
| 52.9% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x)) | |
| ✓ | 99.8% | (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) |
| 51.8% | (*.f64 (/.f64 (sin.f64 x) x) #s(approx (/ (tan (* x 1/2)) x) #s(literal 1/2 binary64))) | |
| ✓ | 51.8% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
| 45.5% | (*.f64 (-.f64 x (*.f64 x (cos.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) | |
| ✓ | 51.9% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
| 20.3% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) #s(approx (+ (cos x) -1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) | |
| ▶ | 71.5% | (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) |
| 50.6% | #s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x 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))) | |
| 50.9% | #s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) | |
| ✓ | 50.4% | #s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
| ✓ | 51.0% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 929 to 526 computations (43.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x (*.f64 x (cos.f64 x))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 320 | (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) | |
| cost-diff | 1280 | (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| cost-diff | 0 | (+.f64 (cos.f64 x) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 320 | (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) | |
| cost-diff | 384 | (/.f64 (/.f64 #s(literal -1 binary64) x) x) | |
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | (*.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))) | |
| cost-diff | 0 | #s(approx (/ (- 1 (cos x)) x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) x) | |
| 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 | (tan.f64 (*.f64 x #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) |
| 5 326× | lower-fma.f32 |
| 5 320× | lower-fma.f64 |
| 2 938× | lower-*.f32 |
| 2 918× | lower-*.f64 |
| 1 532× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 254 |
| 0 | 66 | 240 |
| 1 | 147 | 238 |
| 2 | 394 | 234 |
| 3 | 978 | 234 |
| 4 | 2346 | 234 |
| 5 | 4727 | 234 |
| 6 | 7276 | 234 |
| 0 | 8035 | 234 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) |
(sin.f64 x) |
x |
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
(/.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 #s(approx (/ (- 1 (cos x)) x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) x) |
#s(approx (/ (- 1 (cos x)) x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
x |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x 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)) |
(fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) |
(*.f64 x #s(literal -1/40320 binary64)) |
#s(literal -1/40320 binary64) |
#s(literal 1/720 binary64) |
#s(literal -1/24 binary64) |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(cos.f64 x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) |
(*.f64 x x) |
x |
(*.f64 x (*.f64 x (cos.f64 x))) |
(*.f64 x (cos.f64 x)) |
(cos.f64 x) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) |
(sin.f64 x) |
x |
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
(/.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 #s(approx (/ (- 1 (cos x)) x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) x) |
(/.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 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)))) x) |
#s(approx (/ (- 1 (cos x)) x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 (cos x)) x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 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))) |
(*.f64 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))) |
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)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x x) |
(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)) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) |
(fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) |
(*.f64 x #s(literal -1/40320 binary64)) |
#s(literal -1/40320 binary64) |
#s(literal 1/720 binary64) |
#s(literal -1/24 binary64) |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) |
(*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x)) |
(*.f64 x x) |
x |
(*.f64 x (*.f64 x (cos.f64 x))) |
(*.f64 (*.f64 x x) (cos.f64 x)) |
(*.f64 x (cos.f64 x)) |
(cos.f64 x) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09375 | (*.f64 x (*.f64 x x)) | |
| accuracy | 0.109375 | (*.f64 x (cos.f64 x)) | |
| accuracy | 12.947562899549427 | (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) | |
| accuracy | 49.694718565900224 | (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| accuracy | 0 | (cos.f64 x) | |
| accuracy | 0.0859375 | (/.f64 (/.f64 #s(literal -1 binary64) x) x) | |
| accuracy | 11.881178270132175 | (+.f64 (cos.f64 x) #s(literal -1 binary64)) | |
| accuracy | 18.55368769667586 | (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) | |
| accuracy | 0.0390625 | (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)) | |
| accuracy | 0.05859375 | (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) | |
| accuracy | 0.06640625 | (/.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) x) | |
| accuracy | 31.689958455468602 | #s(approx (/ (- 1 (cos x)) x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 11.881178270132175 | (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) | |
| accuracy | 18.180158897676108 | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| accuracy | 29.03233888399759 | #s(approx (cos x) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (tan.f64 (*.f64 x #s(literal 1/2 binary64))) | |
| accuracy | 0.00390625 | (sin.f64 x) | |
| accuracy | 0.1484375 | (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) | |
| accuracy | 17.531033427393165 | (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) |
| 72.0ms | 86× | 2 | valid |
| 56.0ms | 134× | 0 | valid |
| 18.0ms | 24× | 1 | valid |
| 14.0ms | 12× | 3 | valid |
Compiled 221 to 38 computations (82.8% saved)
ival-mult: 28.0ms (21.6% of total)ival-cos: 23.0ms (17.7% of total)ival-div: 16.0ms (12.3% of total)ival-sin: 15.0ms (11.6% of total)adjust: 14.0ms (10.8% of total)const: 13.0ms (10% of total)ival-add: 9.0ms (6.9% of total)ival-sub: 5.0ms (3.9% of total)ival-tan: 5.0ms (3.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)))> |
#<alt (sin.f64 x)> |
#<alt (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))> |
#<alt (tan.f64 (*.f64 x #s(literal 1/2 binary64)))> |
#<alt (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))> |
#<alt (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))> |
#<alt #s(approx (cos x) #s(literal 1 binary64))> |
#<alt (*.f64 x x)> |
#<alt (/.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) x)> |
#<alt #s(approx (/ (- 1 (cos x)) x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))))> |
#<alt (*.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)))> |
#<alt (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))> |
#<alt (/.f64 (/.f64 #s(literal -1 binary64) x) x)> |
#<alt (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))> |
#<alt (/.f64 #s(literal -1 binary64) x)> |
#<alt (+.f64 (cos.f64 x) #s(literal -1 binary64))> |
#<alt (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x))))> |
#<alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x))))> |
#<alt (*.f64 x (*.f64 x (cos.f64 x)))> |
#<alt (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))> |
#<alt (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))> |
#<alt (cos.f64 x)> |
#<alt (*.f64 x (cos.f64 x))> |
#<alt (*.f64 x (*.f64 x x))> |
| Outputs |
|---|
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* 1/24 (pow x 2))) x)> |
#<alt (/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) x)> |
#<alt (/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) x)> |
#<alt (/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (* -1/40320 (pow x 7))> |
#<alt (* (pow x 7) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))> |
#<alt (* (pow x 7) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))> |
#<alt (* (pow x 7) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))> |
#<alt (* -1/40320 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/40320 (/ 1/24 (pow x 4))) (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (* -1/40320 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))> |
#<alt (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))> |
#<alt (* -1/40320 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))> |
#<alt (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (* 1/2 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* -1/2 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))> |
#<alt (* (pow x 2) (cos x))> |
#<alt (* (pow x 2) (cos x))> |
#<alt (* (pow x 2) (cos x))> |
#<alt (* (pow x 2) (cos x))> |
#<alt (* (pow x 2) (cos x))> |
#<alt (* (pow x 2) (cos x))> |
#<alt (* (pow x 2) (cos x))> |
#<alt (* (pow x 2) (cos x))> |
#<alt 1/720> |
#<alt (+ 1/720 (* -1/40320 (pow x 2)))> |
#<alt (+ 1/720 (* -1/40320 (pow x 2)))> |
#<alt (+ 1/720 (* -1/40320 (pow x 2)))> |
#<alt (* -1/40320 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))> |
#<alt (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))> |
#<alt (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))> |
#<alt (* -1/40320 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))> |
#<alt (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))> |
#<alt (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))> |
#<alt -1/24> |
#<alt (- (* 1/720 (pow x 2)) 1/24)> |
#<alt (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)> |
#<alt (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)> |
#<alt (* -1/40320 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))> |
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))> |
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))> |
#<alt (* -1/40320 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))> |
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))> |
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt x> |
#<alt (* x (+ 1 (* -1/2 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
72 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (+ (* (* x x) (+ (* x (* x -1/40320)) 1/720)) -1/24) |
| 0.0ms | x | @ | inf | (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x -1/40320)) 1/720)) -1/24)) 1/2)) |
| 0.0ms | x | @ | 0 | (* x (* x x)) |
| 0.0ms | x | @ | -inf | (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x -1/40320)) 1/720)) -1/24)) 1/2)) |
| 0.0ms | x | @ | 0 | (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x -1/40320)) 1/720)) -1/24)) 1/2)) |
| 1× | egg-herbie |
| 12 570× | lower-fma.f64 |
| 12 570× | lower-fma.f32 |
| 3 806× | lower-*.f64 |
| 3 806× | lower-*.f32 |
| 3 066× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 160 | 2290 |
| 1 | 464 | 2272 |
| 2 | 1185 | 2272 |
| 3 | 3784 | 2272 |
| 4 | 6227 | 2272 |
| 0 | 8076 | 2144 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(/ 1/2 x) |
(/ (+ 1/2 (* 1/24 (pow x 2))) x) |
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) x) |
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) x) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(* 1/2 (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 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)))) |
(* -1/40320 (pow x 7)) |
(* (pow x 7) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 7) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* (pow x 7) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* -1/40320 (pow x 7)) |
(* -1 (* (pow x 7) (- 1/40320 (* 1/720 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/40320 (/ 1/24 (pow x 4))) (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(* -1/40320 (pow x 6)) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* -1/40320 (pow x 6)) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
1/2 |
(+ 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 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(* 1/2 (pow x 4)) |
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* (pow x 2) (- 1 (cos x))) |
(* (pow x 2) (- 1 (cos x))) |
(* (pow x 2) (- 1 (cos x))) |
(* (pow x 2) (- 1 (cos x))) |
(* (pow x 2) (- 1 (cos x))) |
(* (pow x 2) (- 1 (cos x))) |
(* (pow x 2) (- 1 (cos x))) |
(* (pow x 2) (- 1 (cos x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1/2 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(* (pow x 2) (cos x)) |
(* (pow x 2) (cos x)) |
(* (pow x 2) (cos x)) |
(* (pow x 2) (cos x)) |
(* (pow x 2) (cos x)) |
(* (pow x 2) (cos x)) |
(* (pow x 2) (cos x)) |
(* (pow x 2) (cos x)) |
1/720 |
(+ 1/720 (* -1/40320 (pow x 2))) |
(+ 1/720 (* -1/40320 (pow x 2))) |
(+ 1/720 (* -1/40320 (pow x 2))) |
(* -1/40320 (pow x 2)) |
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* -1/40320 (pow x 2)) |
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
-1/24 |
(- (* 1/720 (pow x 2)) 1/24) |
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24) |
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24) |
(* -1/40320 (pow x 4)) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* -1/40320 (pow x 4)) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
x |
(* x (+ 1 (* -1/2 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 x 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 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (+ 1/2 (* 1/24 (pow x 2))) x) |
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) |
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) x) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.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))))))) x) |
(/.f64 (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)) x) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(* 1/2 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))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* 1/2 (pow x 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 (*.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) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
(- 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 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
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(*.f64 x (*.f64 x #s(literal -1/40320 binary64))) |
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) |
-1/24 |
#s(literal -1/24 binary64) |
(- (* 1/720 (pow x 2)) 1/24) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) |
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) |
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) |
(* -1/40320 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/40320 binary64))))) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* -1/40320 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/40320 binary64))))) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
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 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(fma.f64 (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)) |
(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)) |
| 4 450× | lower-fma.f32 |
| 4 444× | lower-fma.f64 |
| 4 420× | lower-/.f32 |
| 4 408× | lower-/.f64 |
| 4 346× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 218 |
| 0 | 66 | 206 |
| 1 | 277 | 201 |
| 2 | 2104 | 201 |
| 0 | 8385 | 201 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) |
(sin.f64 x) |
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(/.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 #s(approx (/ (- 1 (cos x)) x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) x) |
#s(approx (/ (- 1 (cos x)) x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
(*.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))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) x) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) |
(*.f64 x (*.f64 x (cos.f64 x))) |
(fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) |
(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)) |
(cos.f64 x) |
(*.f64 x (cos.f64 x)) |
(*.f64 x (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) x) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (neg.f64 (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (sin.f64 x)) x) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x) x) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 (*.f64 x x) (tan.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)))))) (neg.f64 (neg.f64 (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (neg.f64 (neg.f64 (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) (neg.f64 (neg.f64 (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (sin.f64 x))) (neg.f64 x)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x)) (neg.f64 x)) |
(pow.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) |
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (sin.f64 x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sin.f64 x) (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x)) |
(*.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (/.f64 (sin.f64 x) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(sin.f64 x) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (*.f64 x x)))) |
(neg.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (*.f64 x x)))) |
(neg.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x))) |
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (*.f64 x x))) |
(/.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) x) |
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (*.f64 x x)))) |
(/.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) (neg.f64 x)) |
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 x x))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(pow.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) #s(literal -1 binary64)) |
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) |
(*.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) x)) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
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(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))))))) (-.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)))))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal 1/24 binary64))) (*.f64 (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 1/576 binary64))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal 1/24 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal 1/24 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))))) #s(literal -1/13824 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))))) #s(literal 1/576 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/576 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal 1/24 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)))))))) (neg.f64 (-.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/65548320768000 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/40320 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/40320 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/40320 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/40320 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal 1/373248000 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/40320 binary64))) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/40320 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/40320 binary64))) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)))))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal 1/24 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal 1/24 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)))))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal 1/24 binary64))) (/.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)))))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal 1/24 binary64))) (fma.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal 1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal 1/24 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)))))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal 1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal 1/24 binary64))))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))))) #s(literal 1/576 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))))) #s(literal -1/13824 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal 1/24 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/576 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))))) #s(literal -1/13824 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))))) #s(literal 1/576 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)))))) |
(*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal 1/24 binary64)))) |
(cos.f64 x) |
(*.f64 #s(literal 1 binary64) (cos.f64 x)) |
(*.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 x (cos.f64 x)) |
(*.f64 (cos.f64 x) x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
Compiled 41 431 to 3 148 computations (92.4% saved)
46 alts after pruning (33 fresh and 13 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 707 | 13 | 1 720 |
| Fresh | 3 | 20 | 23 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 9 | 9 |
| Total | 1 711 | 46 | 1 757 |
| Status | Accuracy | Program |
|---|---|---|
| 29.4% | (fma.f64 (/.f64 x (*.f64 x (*.f64 x x))) (/.f64 x x) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) | |
| 29.9% | (fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) | |
| 2.3% | (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x x) x) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) | |
| 51.9% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x)) | |
| ✓ | 51.8% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) |
| 51.8% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (cos.f64 x))) | |
| 29.9% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (cos x) (* x (neg x))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) | |
| 2.0% | (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) | |
| 2.0% | (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) | |
| 29.7% | (fma.f64 x (/.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) | |
| 18.2% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) (*.f64 x (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 x x))) | |
| 52.6% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (*.f64 x (/.f64 (cos.f64 x) (neg.f64 x)))) (*.f64 x x)) | |
| 2.7% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) (*.f64 x x)) (*.f64 x x)) | |
| ✓ | 52.9% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| 22.4% | (/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x) | |
| 24.2% | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) | |
| 52.9% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) | |
| 1.9% | (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))) | |
| 13.1% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| 2.1% | (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| 2.8% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x (*.f64 x x))) | |
| 45.5% | (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) | |
| ✓ | 51.9% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ✓ | 29.5% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| 24.2% | (/.f64 (*.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) | |
| 52.9% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) | |
| 70.7% | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) | |
| 13.1% | (/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 x (cos.f64 x))))) (*.f64 (*.f64 x x) (*.f64 x (neg.f64 x)))) | |
| ✓ | 50.6% | (/.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) x) |
| 50.6% | (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ (- 1 (cos x)) x) (*.f64 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)))))) | |
| 52.8% | (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))) | |
| ✓ | 52.1% | (-.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))) |
| 20.4% | (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(approx (+ (cos x) -1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) | |
| 52.9% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x)) | |
| ✓ | 99.8% | (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) |
| 51.8% | (*.f64 (/.f64 (sin.f64 x) x) #s(approx (/ (tan (* x 1/2)) x) #s(literal 1/2 binary64))) | |
| ✓ | 51.8% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
| 45.5% | (*.f64 (-.f64 x (*.f64 x (cos.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) | |
| ✓ | 51.9% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
| 20.3% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) #s(approx (+ (cos x) -1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) | |
| ✓ | 71.5% | (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) |
| 50.6% | #s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x 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))) | |
| 50.9% | #s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) | |
| ✓ | 50.4% | #s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
| ✓ | 51.0% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 1 717 to 583 computations (66% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x 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))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(approx (+ (cos x) -1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) #s(approx (+ (cos x) -1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (cos x) (* x (neg x))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) x) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))) |
(fma.f64 x (/.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 (/.f64 #s(approx (- (* x x) (* x (* x (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(fma.f64 (/.f64 x (*.f64 x (*.f64 x x))) (/.f64 x x) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ (- 1 (cos x)) x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) (*.f64 x x)) (*.f64 x x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x x) x) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(*.f64 (/.f64 (sin.f64 x) x) #s(approx (/ (tan (* x 1/2)) x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (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 x (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (cos.f64 x))) x) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) |
(*.f64 (-.f64 x (*.f64 x (cos.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x 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 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 x (cos.f64 x))))) (*.f64 (*.f64 x x) (*.f64 x (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (/.f64 #s(approx (- (* x x) (* x (* x (cos x)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x 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 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (cos.f64 x))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) (*.f64 x (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 x x))) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (*.f64 x (/.f64 (cos.f64 x) (neg.f64 x)))) (*.f64 x x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (cos.f64 x)))) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (neg.f64 x)) (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x (neg.f64 x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x)) |
(/.f64 (*.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) |
2 calls:
| 63.0ms | x |
| 35.0ms | (/.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 (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x 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))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(approx (+ (cos x) -1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) #s(approx (+ (cos x) -1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (cos x) (* x (neg x))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) x) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))) |
(fma.f64 x (/.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 (/.f64 #s(approx (- (* x x) (* x (* x (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(fma.f64 (/.f64 x (*.f64 x (*.f64 x x))) (/.f64 x x) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ (- 1 (cos x)) x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) (*.f64 x x)) (*.f64 x x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x x) x) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(*.f64 (/.f64 (sin.f64 x) x) #s(approx (/ (tan (* x 1/2)) x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (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 x (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (cos.f64 x))) x) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) |
(*.f64 (-.f64 x (*.f64 x (cos.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x 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 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 x (cos.f64 x))))) (*.f64 (*.f64 x x) (*.f64 x (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (/.f64 #s(approx (- (* x x) (* x (* x (cos x)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x 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 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (cos.f64 x))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) (*.f64 x (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 x x))) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (*.f64 x (/.f64 (cos.f64 x) (neg.f64 x)))) (*.f64 x x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (cos.f64 x)))) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (neg.f64 x)) (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x (neg.f64 x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x)) |
(/.f64 (*.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (cos.f64 x))) x) |
2 calls:
| 93.0ms | x |
| 70.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 2 | x |
| 99.2% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x 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))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(approx (+ (cos x) -1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) #s(approx (+ (cos x) -1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (cos x) (* x (neg x))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) x) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))) |
(fma.f64 x (/.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 (/.f64 #s(approx (- (* x x) (* x (* x (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(fma.f64 (/.f64 x (*.f64 x (*.f64 x x))) (/.f64 x x) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ (- 1 (cos x)) x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) (*.f64 x x)) (*.f64 x x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x x) x) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(*.f64 (/.f64 (sin.f64 x) x) #s(approx (/ (tan (* x 1/2)) x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (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 x (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) |
1 calls:
| 20.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x 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))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(approx (+ (cos x) -1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) #s(approx (+ (cos x) -1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (cos x) (* x (neg x))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) x) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))) |
(fma.f64 x (/.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 (/.f64 #s(approx (- (* x x) (* x (* x (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(fma.f64 (/.f64 x (*.f64 x (*.f64 x x))) (/.f64 x x) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ (- 1 (cos x)) x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) (*.f64 x x)) (*.f64 x x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x x) x) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(*.f64 (/.f64 (sin.f64 x) x) #s(approx (/ (tan (* x 1/2)) x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x)) |
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
1 calls:
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x 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))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(approx (+ (cos x) -1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) #s(approx (+ (cos x) -1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (cos x) (* x (neg x))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) x) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))) |
(fma.f64 x (/.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 (/.f64 #s(approx (- (* x x) (* x (* x (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(fma.f64 (/.f64 x (*.f64 x (*.f64 x x))) (/.f64 x x) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ (- 1 (cos x)) x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) (*.f64 x x)) (*.f64 x x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x x) x) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(*.f64 (/.f64 (sin.f64 x) x) #s(approx (/ (tan (* x 1/2)) x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
1 calls:
| 29.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x 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))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(approx (+ (cos x) -1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) #s(approx (+ (cos x) -1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (cos x) (* x (neg x))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) x) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))) |
(fma.f64 x (/.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 (/.f64 #s(approx (- (* x x) (* x (* x (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(fma.f64 (/.f64 x (*.f64 x (*.f64 x x))) (/.f64 x x) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ (- 1 (cos x)) x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) (*.f64 x x)) (*.f64 x x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x x) x) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(*.f64 (/.f64 (sin.f64 x) x) #s(approx (/ (tan (* x 1/2)) x) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
2 calls:
| 17.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.8% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 79.1% | 2 | x |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x 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))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(approx (+ (cos x) -1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) #s(approx (+ (cos x) -1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (cos x) (* x (neg x))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) x) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))) |
(fma.f64 x (/.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 (/.f64 #s(approx (- (* x x) (* x (* x (cos x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (cos x) (* x (neg x))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.0% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x 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))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(approx (+ (cos x) -1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) #s(approx (+ (cos x) -1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.8% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.4% | 2 | x |
Compiled 2 to 1 computations (50% saved)
Total -0.8b remaining (-2.6%)
Threshold costs -0.8b (-2.6%)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
2 calls:
| 18.0ms | x |
| 2.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.0% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 51.0% | 1 | x |
Compiled 11 to 7 computations (36.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 0.022534196693432307 | 0.20354116301963499 |
| 4.0ms | 96× | 0 | valid |
Compiled 198 to 130 computations (34.3% saved)
ival-div: 1.0ms (37.7% of total)ival-cos: 1.0ms (37.7% of total)ival-mult: 1.0ms (37.7% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.022534196693432307 | 0.20354116301963499 |
Compiled 198 to 130 computations (34.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.022534196693432307 | 0.20354116301963499 |
Compiled 186 to 124 computations (33.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.022534196693432307 | 0.20354116301963499 |
Compiled 186 to 124 computations (33.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 0.20354116301963499 | 157.89283309686985 |
| 21.0ms | 128× | 0 | valid |
Compiled 324 to 170 computations (47.5% saved)
ival-cos: 4.0ms (63.2% of total)ival-sub: 1.0ms (15.8% of total)ival-div: 1.0ms (15.8% of total)ival-mult: 1.0ms (15.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.20354116301963499 | 157.89283309686985 |
Compiled 284 to 170 computations (40.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 2.5052222666540448e+38 | 1.6508787859195945e+41 |
| 9.0ms | 128× | 0 | valid |
Compiled 204 to 122 computations (40.2% saved)
ival-cos: 4.0ms (59% of total)ival-sub: 1.0ms (14.7% of total)ival-div: 1.0ms (14.7% of total)ival-mult: 1.0ms (14.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 0.20354116301963499 | 157.89283309686985 |
| 4.0ms | 64× | 0 | valid |
Compiled 164 to 106 computations (35.4% saved)
ival-cos: 2.0ms (63.8% of total)ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 22× | *-commutative_binary64 |
| 16× | +-commutative_binary64 |
| 14× | sub-neg_binary64 |
| 10× | neg-sub0_binary64 |
| 10× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 334 |
| 1 | 91 | 334 |
| 2 | 104 | 334 |
| 3 | 113 | 334 |
| 4 | 118 | 334 |
| 5 | 119 | 334 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) |
(if (<=.f64 x #s(literal 3170534137668829/36028797018963968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (cos.f64 x))) x)) |
(if (<=.f64 x #s(literal 3170534137668829/36028797018963968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) x))) |
(if (<=.f64 x #s(literal 3170534137668829/36028797018963968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) |
(if (<=.f64 x #s(literal 3170534137668829/36028797018963968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
(if (<=.f64 x #s(literal 2589569785738035/562949953421312 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x))))) |
(if (<=.f64 x #s(literal 2589569785738035/562949953421312 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (cos x) (* x (neg x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))) |
(if (<=.f64 x #s(literal 679999999999999992247693172092463742976 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(if (<=.f64 x #s(literal 7/2 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #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 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) |
(if (<=.f64 x #s(literal 3170534137668829/36028797018963968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (cos.f64 x))) x)) |
(if (<=.f64 x #s(literal 3170534137668829/36028797018963968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) x))) |
(if (<=.f64 x #s(literal 3170534137668829/36028797018963968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x))) |
(if (<=.f64 x #s(literal 3170534137668829/36028797018963968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) |
(if (<=.f64 x #s(literal 3170534137668829/36028797018963968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
(if (<=.f64 x #s(literal 2589569785738035/562949953421312 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x))))) |
(if (<=.f64 x #s(literal 2589569785738035/562949953421312 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 (*.f64 x x))))) |
(if (<=.f64 x #s(literal 2589569785738035/562949953421312 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (cos x) (* x (neg x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))) |
(if (<=.f64 x #s(literal 679999999999999992247693172092463742976 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(if (<=.f64 x #s(literal 7/2 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #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 |
| 12 058× | lower-fma.f64 |
| 12 058× | lower-fma.f32 |
| 4 736× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 284 |
| 1 | 105 | 284 |
| 2 | 258 | 284 |
| 3 | 609 | 284 |
| 4 | 1279 | 284 |
| 5 | 2001 | 284 |
| 6 | 2304 | 284 |
| 7 | 3158 | 284 |
| 8 | 4639 | 284 |
| 9 | 6288 | 284 |
| 10 | 7157 | 284 |
| 11 | 7373 | 284 |
| 12 | 7391 | 284 |
| 13 | 7393 | 284 |
| 14 | 7798 | 284 |
| 0 | 8007 | 266 |
| 0 | 119 | 1552 |
| 1 | 315 | 1552 |
| 2 | 771 | 1536 |
| 3 | 2243 | 1534 |
| 4 | 4778 | 1534 |
| 5 | 6889 | 1534 |
| 0 | 8332 | 1450 |
| 0 | 28 | 126 |
| 0 | 46 | 106 |
| 1 | 191 | 103 |
| 2 | 1664 | 101 |
| 0 | 8590 | 101 |
| 0 | 6 | 17 |
| 0 | 10 | 17 |
| 1 | 40 | 17 |
| 2 | 268 | 17 |
| 3 | 2810 | 17 |
| 0 | 9656 | 17 |
| 0 | 37 | 218 |
| 0 | 66 | 206 |
| 1 | 277 | 201 |
| 2 | 2104 | 201 |
| 0 | 8385 | 201 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 468 to 172 computations (63.2% saved)
(abs x)
Compiled 542 to 144 computations (73.4% saved)
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