
Time bar (total: 13.9s)
| 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)
| 623.0ms | 2 209× | 2 | valid |
| 417.0ms | 4 190× | 0 | valid |
| 245.0ms | 622× | 3 | valid |
| 124.0ms | 1 235× | 1 | valid |
ival-cos: 743.0ms (66.6% of total)ival-div: 95.0ms (8.5% of total)ival-sub: 93.0ms (8.3% of total)ival-mult: 88.0ms (7.9% of total)adjust: 78.0ms (7% of total)exact: 10.0ms (0.9% of total)ival-true: 6.0ms (0.5% of total)ival-assert: 3.0ms (0.3% of total)| 2× | egg-herbie |
| 408× | accelerator-lowering-fma.f32 |
| 408× | accelerator-lowering-fma.f64 |
| 322× | times-frac |
| 284× | times-frac |
| 272× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 25 |
| 1 | 38 | 25 |
| 2 | 110 | 24 |
| 3 | 304 | 24 |
| 4 | 772 | 24 |
| 5 | 1232 | 24 |
| 6 | 1342 | 24 |
| 7 | 1358 | 24 |
| 0 | 6 | 8 |
| 1 | 15 | 8 |
| 2 | 26 | 8 |
| 3 | 42 | 8 |
| 4 | 78 | 8 |
| 5 | 127 | 8 |
| 6 | 184 | 8 |
| 7 | 319 | 8 |
| 8 | 618 | 8 |
| 9 | 1015 | 8 |
| 10 | 1130 | 8 |
| 0 | 1130 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(/ (- 1 (cos x)) (* x x)) |
| Outputs |
|---|
(/ (- 1 (cos x)) (* x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Inputs |
|---|
(/ (- 1 (cos x)) (* x x)) |
(/ (- 1 (cos (neg x))) (* (neg x) (neg x))) |
(neg (/ (- 1 (cos (neg x))) (* (neg x) (neg x)))) |
| Outputs |
|---|
(/ (- 1 (cos x)) (* x x)) |
(/ (- 1 (cos (neg x))) (* (neg x) (neg x))) |
(/ (- 1 (cos x)) (* x x)) |
(neg (/ (- 1 (cos (neg x))) (* (neg x) (neg x)))) |
(/ (+ (cos x) -1) (* x x)) |
(abs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 77 | 1 | (9.501631862207213e+160) | 0 | - | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 56 | 1 | (4.2032684010222723e+297) | 0 | - | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (cos.f64 x) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | u/u | 73 | 0 |
| ↳ | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | underflow | 74 | |
| ↳ | (*.f64 x x) | underflow | 73 | |
-.f64 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | cancellation | 57 | 5 |
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | n/o | 4 | 0 |
| ↳ | (*.f64 x x) | overflow | 71 | |
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | u/n | 1 | 0 |
| ↳ | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | underflow | 74 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 129 | 0 |
| - | 6 | 121 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 129 | 0 | 0 |
| - | 6 | 5 | 116 |
| number | freq |
|---|---|
| 0 | 121 |
| 1 | 135 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 69.0ms | 144× | 2 | valid |
| 41.0ms | 62× | 1 | valid |
| 38.0ms | 262× | 0 | valid |
| 17.0ms | 44× | 3 | valid |
Compiled 60 to 28 computations (53.3% saved)
ival-div: 70.0ms (52.9% of total)ival-cos: 46.0ms (34.8% of total)ival-sub: 7.0ms (5.3% of total)adjust: 4.0ms (3% of total)ival-mult: 4.0ms (3% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 9 to 6 computations (33.3% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.1% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (cos.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 408× | accelerator-lowering-fma.f32 |
| 408× | accelerator-lowering-fma.f64 |
| 284× | times-frac |
| 272× | *-lowering-*.f32 |
| 272× | *-lowering-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 19 |
| 1 | 15 | 19 |
| 2 | 26 | 19 |
| 3 | 42 | 19 |
| 4 | 78 | 19 |
| 5 | 127 | 19 |
| 6 | 184 | 19 |
| 7 | 319 | 19 |
| 8 | 618 | 19 |
| 9 | 1015 | 19 |
| 10 | 1130 | 19 |
| 0 | 1130 | 19 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (- 1 (cos x)) (* x x)) |
(- 1 (cos x)) |
1 |
(cos x) |
x |
(* x x) |
| Outputs |
|---|
(/ (- 1 (cos x)) (* x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(cos x) |
(cos.f64 x) |
x |
(* x x) |
(*.f64 x x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 80.5% | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| ✓ | accuracy | 71.4% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 30.0ms | 22× | 3 | valid |
| 22.0ms | 72× | 2 | valid |
| 13.0ms | 131× | 0 | valid |
| 3.0ms | 31× | 1 | valid |
Compiled 21 to 8 computations (61.9% saved)
ival-cos: 44.0ms (74.3% of total)ival-sub: 5.0ms (8.4% of total)ival-mult: 4.0ms (6.8% of total)ival-div: 3.0ms (5.1% of total)adjust: 2.0ms (3.4% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (- 1 (cos x)) (* x x))> |
#<alt (- 1 (cos x))> |
#<alt (cos x)> |
#<alt (* 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× | batch-egg-rewrite |
| 4 736× | /-lowering-/.f32 |
| 4 736× | /-lowering-/.f64 |
| 3 980× | accelerator-lowering-fma.f32 |
| 3 980× | accelerator-lowering-fma.f64 |
| 3 064× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 1 | 36 | 17 |
| 2 | 264 | 17 |
| 3 | 2800 | 17 |
| 0 | 9643 | 17 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- 1 (cos x)) (* x x)) |
(- 1 (cos x)) |
(cos x) |
(* x x) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 x) x) x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 x) x) x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 x) x) x)) #s(literal 1 binary64))) |
(+.f64 (/.f64 (/.f64 (cos.f64 x) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))) #s(literal -1 binary64))) |
(-.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 (/.f64 (cos.f64 x) x) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 x) x) 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 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (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 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 x) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) 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) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (*.f64 x x))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.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 #s(literal 2 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (/.f64 (cos.f64 x) x) x) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))))) (/.f64 (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (/.f64 (cos.f64 x) x) x) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (-.f64 #s(literal 0 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (-.f64 #s(literal 0 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (-.f64 #s(literal 0 binary64) (*.f64 x x))))) |
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(fma.f64 (cos.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (cos.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) |
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(fma.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64)) |
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(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)) |
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(fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
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(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -3 binary64)) (pow.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -2 binary64)) (-.f64 (*.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -3 binary64)) (pow.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -2 binary64)) (-.f64 (*.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))))))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (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 #s(literal 2 binary64)))))) |
(*.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 #s(literal 2 binary64)))))) #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) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (/.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 #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #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 #s(literal 2 binary64))))) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.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 #s(literal 2 binary64))))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 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)))) (+.f64 #s(literal 1 binary64) (*.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))))) |
(*.f64 (/.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 #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.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) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (+.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 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.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) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (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) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 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 #s(literal 2 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) (-.f64 #s(literal 0 binary64) (cos.f64 x))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (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) (-.f64 #s(literal 0 binary64) (cos.f64 x))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x 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 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) x) x) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) x) |
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
| 1× | egg-herbie |
| 16 752× | accelerator-lowering-fma.f32 |
| 16 752× | accelerator-lowering-fma.f64 |
| 3 896× | *-lowering-*.f32 |
| 3 896× | *-lowering-*.f64 |
| 1 568× | +-lowering-+.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))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 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 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 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) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 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))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 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) |
Compiled 16 522 to 1 650 computations (90% saved)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 664 | 13 | 677 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 664 | 14 | 678 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.4% | (/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (-.f64 #s(literal 0 binary64) x)) |
| 33.3% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| ▶ | 52.4% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (-.f64 #s(literal 0 binary64) x)) |
| 45.1% | (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) | |
| ✓ | 51.1% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 29.1% | (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) | |
| 70.5% | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) | |
| 51.0% | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) | |
| 51.0% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x)) | |
| 51.0% | (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))) | |
| 52.4% | (*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) | |
| ▶ | 71.4% | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
| ▶ | 51.0% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
| ▶ | 50.9% | #s(literal 1/2 binary64) |
Compiled 297 to 190 computations (36% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (cos.f64 x) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (-.f64 #s(literal 0 binary64) x)) |
| ✓ | cost-diff | 256 | (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) |
| ✓ | cost-diff | 0 | (cos.f64 x) |
| ✓ | cost-diff | 0 | (+.f64 (cos.f64 x) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (-.f64 #s(literal 0 binary64) 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 | 128 | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 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)))) |
| 824× | accelerator-lowering-fma.f32 |
| 824× | accelerator-lowering-fma.f64 |
| 704× | times-frac |
| 688× | *-lowering-*.f32 |
| 688× | *-lowering-*.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 120 |
| 1 | 54 | 117 |
| 2 | 144 | 114 |
| 3 | 306 | 114 |
| 4 | 800 | 114 |
| 5 | 1408 | 114 |
| 6 | 1946 | 114 |
| 7 | 2180 | 114 |
| 8 | 2378 | 114 |
| 9 | 2465 | 114 |
| 10 | 2481 | 114 |
| 11 | 2481 | 114 |
| 12 | 2481 | 114 |
| 0 | 2481 | 114 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (/ (sin x) (* x x)) (tan (/ x 2))) |
(/ (sin x) (* x x)) |
(sin x) |
x |
(* x x) |
(tan (/ x 2)) |
(/ x 2) |
2 |
1/2 |
(* (/ -1 (* x x)) (+ (cos x) -1)) |
(/ -1 (* x x)) |
-1 |
(* x x) |
x |
(+ (cos x) -1) |
(cos x) |
(/ (/ (+ (cos x) -1) x) (- 0 x)) |
(/ (+ (cos x) -1) x) |
(+ (cos x) -1) |
(cos x) |
x |
-1 |
(- 0 x) |
0 |
(/ (- (/ -1 x) (neg (/ (cos x) x))) (- 0 x)) |
(- (/ -1 x) (neg (/ (cos x) x))) |
(/ -1 x) |
-1 |
x |
(neg (/ (cos x) x)) |
(/ (cos x) x) |
(cos x) |
(- 0 x) |
0 |
| Outputs |
|---|
(* (/ (sin x) (* x x)) (tan (/ x 2))) |
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)) x) |
(/ (sin x) (* x x)) |
(/.f64 (/.f64 (sin.f64 x) x) x) |
(sin x) |
(sin.f64 x) |
x |
(* x x) |
(*.f64 x x) |
(tan (/ x 2)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/ x 2) |
(/.f64 x #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
(* (/ -1 (* x x)) (+ (cos x) -1)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ -1 (* x x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
-1 |
#s(literal -1 binary64) |
(* x x) |
(*.f64 x x) |
x |
(+ (cos x) -1) |
(+.f64 #s(literal -1 binary64) (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
(/ (/ (+ (cos x) -1) x) (- 0 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ (cos x) -1) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(+ (cos x) -1) |
(+.f64 #s(literal -1 binary64) (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
x |
-1 |
#s(literal -1 binary64) |
(- 0 x) |
(-.f64 #s(literal 0 binary64) x) |
0 |
#s(literal 0 binary64) |
(/ (- (/ -1 x) (neg (/ (cos x) x))) (- 0 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(- (/ -1 x) (neg (/ (cos x) x))) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
-1 |
#s(literal -1 binary64) |
x |
(neg (/ (cos x) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x)) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(cos x) |
(cos.f64 x) |
(- 0 x) |
(-.f64 #s(literal 0 binary64) x) |
0 |
#s(literal 0 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 99.9% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (-.f64 #s(literal 0 binary64) x)) |
| ✓ | accuracy | 99.8% | (/.f64 (cos.f64 x) x) |
| ✓ | accuracy | 53.1% | (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 99.9% | (/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (-.f64 #s(literal 0 binary64) x)) |
| ✓ | accuracy | 80.5% | (+.f64 (cos.f64 x) #s(literal -1 binary64)) |
| ✓ | accuracy | 72.9% | (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal -1 binary64) (*.f64 x x)) |
| ✓ | accuracy | 80.5% | (+.f64 (cos.f64 x) #s(literal -1 binary64)) |
| ✓ | accuracy | 71.7% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 100.0% | (tan.f64 (/.f64 x #s(literal 2 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
| ✓ | accuracy | 72.5% | (/.f64 (sin.f64 x) (*.f64 x x)) |
| 72.0ms | 54× | 1 | valid |
| 52.0ms | 71× | 2 | valid |
| 36.0ms | 131× | 0 | valid |
Compiled 130 to 25 computations (80.8% saved)
ival-cos: 61.0ms (44.7% of total)ival-div: 42.0ms (30.8% of total)ival-sin: 8.0ms (5.9% of total)ival-mult: 7.0ms (5.1% of total)ival-tan: 6.0ms (4.4% of total)adjust: 5.0ms (3.7% of total)ival-sub: 3.0ms (2.2% of total)ival-neg: 2.0ms (1.5% of total)ival-add: 2.0ms (1.5% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ (sin x) (* x x)) (tan (/ x 2)))> |
#<alt (/ (sin x) (* x x))> |
#<alt (sin x)> |
#<alt (* x x)> |
#<alt (* (/ -1 (* x x)) (+ (cos x) -1))> |
#<alt (/ -1 (* x x))> |
#<alt (+ (cos x) -1)> |
#<alt (/ (/ (+ (cos x) -1) x) (- 0 x))> |
#<alt (/ (+ (cos x) -1) x)> |
#<alt (cos x)> |
#<alt (- (/ -1 x) (neg (/ (cos x) x)))> |
#<alt (/ (- (/ -1 x) (neg (/ (cos x) x))) (- 0 x))> |
#<alt (/ -1 x)> |
#<alt (/ (cos x) x)> |
#<alt (tan (/ x 2))> |
| 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) 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) 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 (* -1/2 x)> |
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))> |
#<alt (* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))> |
#<alt (* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))> |
#<alt (/ (- (cos x) 1) x)> |
#<alt (/ (- (cos x) 1) x)> |
#<alt (/ (- (cos x) 1) x)> |
#<alt (/ (- (cos x) 1) x)> |
#<alt (/ (- (cos x) 1) x)> |
#<alt (/ (- (cos x) 1) x)> |
#<alt (/ (- (cos x) 1) x)> |
#<alt (/ (- (cos x) 1) x)> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (* -1/2 x)> |
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))> |
#<alt (* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))> |
#<alt (* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))> |
#<alt (/ (- (cos x) 1) x)> |
#<alt (/ (- (cos x) 1) x)> |
#<alt (/ (- (cos x) 1) x)> |
#<alt (/ (- (cos x) 1) x)> |
#<alt (* -1 (/ (+ 1 (* -1 (cos x))) x))> |
#<alt (* -1 (/ (+ 1 (* -1 (cos x))) x))> |
#<alt (* -1 (/ (+ 1 (* -1 (cos x))) x))> |
#<alt (* -1 (/ (+ 1 (* -1 (cos x))) x))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (* -1 (/ (- (cos x) 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 (* -1 (cos x))) (pow x 2))> |
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))> |
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))> |
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* -1/2 (pow x 2))) x)> |
#<alt (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)> |
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)> |
#<alt (/ (cos x) x)> |
#<alt (/ (cos x) x)> |
#<alt (/ (cos x) x)> |
#<alt (/ (cos x) x)> |
#<alt (/ (cos x) x)> |
#<alt (/ (cos x) x)> |
#<alt (/ (cos x) x)> |
#<alt (/ (cos x) x)> |
#<alt (* 1/2 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)))> |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | (/ (- (/ -1 x) (neg (/ (cos x) x))) (- 0 x)) |
| 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))) |
| 1.0ms | x | @ | -inf | (- (/ -1 x) (neg (/ (cos x) x))) |
| 1× | batch-egg-rewrite |
| 4 560× | /-lowering-/.f32 |
| 4 560× | /-lowering-/.f64 |
| 3 450× | accelerator-lowering-fma.f32 |
| 3 450× | accelerator-lowering-fma.f64 |
| 3 320× | *-lowering-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 91 |
| 1 | 145 | 84 |
| 2 | 1272 | 82 |
| 0 | 8948 | 82 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (sin x) (* x x)) (tan (/ x 2))) |
(/ (sin x) (* x x)) |
(sin x) |
(* x x) |
(* (/ -1 (* x x)) (+ (cos x) -1)) |
(/ -1 (* x x)) |
(+ (cos x) -1) |
(/ (/ (+ (cos x) -1) x) (- 0 x)) |
(/ (+ (cos x) -1) x) |
(cos x) |
(- (/ -1 x) (neg (/ (cos x) x))) |
(/ (- (/ -1 x) (neg (/ (cos x) x))) (- 0 x)) |
(/ -1 x) |
(/ (cos x) x) |
(tan (/ x 2)) |
| Outputs |
|---|
(/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 x 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 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (cos.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 x (sin.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 x (sin.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 x x) (sin.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 x x) (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))) |
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 x (sin.f64 x))) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (sin.f64 x))) |
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 x (sin.f64 x))) x) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x) |
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 x x) (sin.f64 x))) (cos.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x) x) |
(/.f64 (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (sin.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 (*.f64 (*.f64 x x) (cos.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (cos.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (cos.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 (*.f64 x (cos.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))) (neg.f64 (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 x)))) (neg.f64 (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 x (sin.f64 x)))) (neg.f64 (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (sin.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 x (sin.f64 x)))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 x x) (sin.f64 x)))) (neg.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x)) (-.f64 #s(literal 0 binary64) x)) |
(pow.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 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 2 binary64))))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 x (sin.f64 x)))) |
(*.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (cos.f64 (/.f64 x #s(literal 2 binary64)))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (cos.f64 (/.f64 x #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (cos.f64 (/.f64 x #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 (/.f64 x #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)))) |
(*.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))))) |
(*.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 x (sin.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) x))) |
(*.f64 (neg.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 x (sin.f64 x))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 x x) (sin.f64 x))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 x x))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 (sin.f64 x) x) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) x)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal -1 binary64)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) #s(literal -1 binary64)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (sin.f64 x))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(neg.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 x x))) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (sin.f64 x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x x) (sin.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (/.f64 (sin.f64 x) x) x) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (sin.f64 x) x))) x) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(pow.f64 (/.f64 (*.f64 x x) (sin.f64 x)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 x x) (sin.f64 x))))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 x x))) |
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(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 0 binary64) x) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (cos.f64 x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (cos.f64 x)))) |
(/.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (cos.f64 x)))) |
(/.f64 (cos.f64 x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (cos.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x))) x) |
(/.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x (cos.f64 x)) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x))))))) |
(pow.f64 (/.f64 x (cos.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x)))) |
(*.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) x)) |
(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (cos.f64 x) (*.f64 x x)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(*.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (cos.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(neg.f64 (tan.f64 (/.f64 x #s(literal -2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (+.f64 (sin.f64 x) (sin.f64 #s(literal 0 binary64))) (+.f64 (cos.f64 x) (cos.f64 #s(literal 0 binary64)))) |
(/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 x)) (+.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x))) |
(/.f64 (-.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 (neg.f64 (cos.f64 (/.f64 x #s(literal 2 binary64)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(*.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (/.f64 x #s(literal 2 binary64)))))) |
| 1× | egg-herbie |
| 15 248× | accelerator-lowering-fma.f32 |
| 15 248× | accelerator-lowering-fma.f64 |
| 3 848× | +-lowering-+.f64 |
| 3 848× | +-lowering-+.f32 |
| 3 812× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 112 | 1330 |
| 1 | 272 | 1306 |
| 2 | 666 | 1300 |
| 3 | 1999 | 1300 |
| 4 | 3770 | 1300 |
| 5 | 5529 | 1300 |
| 6 | 7406 | 1300 |
| 0 | 8142 | 1228 |
| 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) 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) 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))) |
(* -1/2 x) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(/ (- (cos x) 1) x) |
(/ (- (cos x) 1) x) |
(/ (- (cos x) 1) x) |
(/ (- (cos x) 1) x) |
(/ (- (cos x) 1) x) |
(/ (- (cos x) 1) x) |
(/ (- (cos x) 1) x) |
(/ (- (cos x) 1) x) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* -1/2 x) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(/ (- (cos x) 1) x) |
(/ (- (cos x) 1) x) |
(/ (- (cos x) 1) x) |
(/ (- (cos x) 1) x) |
(* -1 (/ (+ 1 (* -1 (cos x))) x)) |
(* -1 (/ (+ 1 (* -1 (cos x))) x)) |
(* -1 (/ (+ 1 (* -1 (cos x))) x)) |
(* -1 (/ (+ 1 (* -1 (cos x))) x)) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(* -1 (/ (- (cos x) 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 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ 1 x) |
(/ (+ 1 (* -1/2 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(* 1/2 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))) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 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 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))) x) |
(/ (sin x) (pow x 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(/ (sin x) (pow x 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(/ (sin x) (pow x 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(/ (sin x) (pow x 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(/ (sin x) (pow x 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(/ (sin x) (pow x 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(/ (sin x) (pow x 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(/ (sin x) (pow x 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))) |
(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))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 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 (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 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 (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 x x) #s(literal 1/40320 binary64))))))))))) |
(- (cos x) 1) |
(+.f64 #s(literal -1 binary64) (cos.f64 x)) |
(- (cos x) 1) |
(+.f64 #s(literal -1 binary64) (cos.f64 x)) |
(- (cos x) 1) |
(+.f64 #s(literal -1 binary64) (cos.f64 x)) |
(- (cos x) 1) |
(+.f64 #s(literal -1 binary64) (cos.f64 x)) |
(- (cos x) 1) |
(+.f64 #s(literal -1 binary64) (cos.f64 x)) |
(- (cos x) 1) |
(+.f64 #s(literal -1 binary64) (cos.f64 x)) |
(- (cos x) 1) |
(+.f64 #s(literal -1 binary64) (cos.f64 x)) |
(- (cos x) 1) |
(+.f64 #s(literal -1 binary64) (cos.f64 x)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 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)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))) |
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 x x) #s(literal 1/40320 binary64)))))))))) |
(/ (- (cos x) 1) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(/ (- (cos x) 1) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(/ (- (cos x) 1) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(/ (- (cos x) 1) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(/ (- (cos x) 1) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(/ (- (cos x) 1) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(/ (- (cos x) 1) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(/ (- (cos x) 1) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))))) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))) |
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 x x) #s(literal 1/40320 binary64)))))))))) |
(/ (- (cos x) 1) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(/ (- (cos x) 1) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(/ (- (cos x) 1) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(/ (- (cos x) 1) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(* -1 (/ (+ 1 (* -1 (cos x))) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(* -1 (/ (+ 1 (* -1 (cos x))) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(* -1 (/ (+ 1 (* -1 (cos x))) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(* -1 (/ (+ 1 (* -1 (cos x))) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 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 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1/2 (pow x 2))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))))) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/240 binary64)))))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 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))) |
Compiled 32 537 to 2 944 computations (91% saved)
18 alts after pruning (15 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 584 | 11 | 1 595 |
| Fresh | 4 | 4 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 591 | 18 | 1 609 |
| Status | Accuracy | Program |
|---|---|---|
| 51.0% | (/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) | |
| ▶ | 52.4% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| 22.5% | (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x) (-.f64 #s(literal 0 binary64) x)) | |
| ▶ | 52.4% | (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 x)))) |
| 52.4% | (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) x)))) | |
| 52.4% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x)))) (-.f64 #s(literal 0 binary64) x)) | |
| 52.4% | (/.f64 (-.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 x) x)) x) | |
| ▶ | 45.1% | (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) |
| ✓ | 51.1% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ▶ | 29.1% | (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
| 52.4% | (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (cos.f64 x))) x) | |
| 51.0% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x)) | |
| ▶ | 99.7% | (*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
| 52.4% | (*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) | |
| 45.1% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (+.f64 (cos.f64 x) #s(literal -1 binary64))) | |
| ✓ | 51.0% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
| 21.1% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) | |
| ✓ | 50.9% | #s(literal 1/2 binary64) |
Compiled 410 to 261 computations (36.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cos.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 x (cos.f64 x)) |
| ✓ | cost-diff | 0 | (-.f64 x (*.f64 x (cos.f64 x))) |
| ✓ | cost-diff | 256 | (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1 binary64) (cos.f64 x)) |
| ✓ | cost-diff | 0 | (/.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 x))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 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 | 0 | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 128 | (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 256 | (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 x) x) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (sin.f64 x) x) x) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
| 3 108× | accelerator-lowering-fma.f32 |
| 3 108× | accelerator-lowering-fma.f64 |
| 2 786× | *-lowering-*.f32 |
| 2 786× | *-lowering-*.f64 |
| 2 186× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 113 |
| 1 | 58 | 113 |
| 2 | 125 | 113 |
| 3 | 259 | 113 |
| 4 | 488 | 113 |
| 5 | 1334 | 113 |
| 6 | 2354 | 113 |
| 7 | 3198 | 113 |
| 8 | 3976 | 113 |
| 9 | 4419 | 113 |
| 10 | 4582 | 113 |
| 11 | 5647 | 113 |
| 12 | 6384 | 113 |
| 13 | 6531 | 113 |
| 14 | 6724 | 113 |
| 15 | 6927 | 113 |
| 16 | 7058 | 113 |
| 17 | 7538 | 113 |
| 18 | 7880 | 113 |
| 0 | 8384 | 113 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (/ (sin x) x) x) (tan (/ x 2))) |
(/ (/ (sin x) x) x) |
(/ (sin x) x) |
(sin x) |
x |
(tan (/ x 2)) |
(/ x 2) |
2 |
(/ (- 1 1) (* x x)) |
(- 1 1) |
1 |
(* x x) |
x |
(/ (/ (- 1 (cos x)) x) x) |
(/ (- 1 (cos x)) x) |
(- 1 (cos x)) |
1 |
(cos x) |
x |
(/ (/ -1 x) (/ x (+ -1 (cos x)))) |
(/ -1 x) |
-1 |
x |
(/ x (+ -1 (cos x))) |
(+ -1 (cos x)) |
(cos x) |
(/ (- x (* x (cos x))) (* x (* x x))) |
(- x (* x (cos x))) |
x |
(* x (cos x)) |
(cos x) |
(* x (* x x)) |
(* x x) |
| Outputs |
|---|
(* (/ (/ (sin x) x) x) (tan (/ x 2))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))) |
(/ (/ (sin x) x) x) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(sin x) |
(sin.f64 x) |
x |
(tan (/ x 2)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/ x 2) |
(/.f64 x #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(/ (- 1 1) (* x x)) |
#s(literal 0 binary64) |
(- 1 1) |
#s(literal 0 binary64) |
1 |
#s(literal 1 binary64) |
(* x x) |
(*.f64 x x) |
x |
(/ (/ (- 1 (cos x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(cos x) |
(cos.f64 x) |
x |
(/ (/ -1 x) (/ x (+ -1 (cos x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
-1 |
#s(literal -1 binary64) |
x |
(/ x (+ -1 (cos x))) |
(/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(+ -1 (cos x)) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(cos x) |
(cos.f64 x) |
(/ (- x (* x (cos x))) (* x (* x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(- x (* x (cos x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
x |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 x (cos.f64 x)) |
| ✓ | accuracy | 99.3% | (-.f64 x (*.f64 x (cos.f64 x))) |
| ✓ | accuracy | 93.7% | (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 99.9% | (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 x)))) |
| ✓ | accuracy | 99.8% | (/.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 x))) |
| ✓ | accuracy | 99.4% | (+.f64 #s(literal -1 binary64) (cos.f64 x)) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 99.9% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| ✓ | accuracy | 99.8% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
| ✓ | accuracy | 99.4% | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (tan.f64 (/.f64 x #s(literal 2 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.9% | (/.f64 (/.f64 (sin.f64 x) x) x) |
| ✓ | accuracy | 99.8% | (/.f64 (sin.f64 x) x) |
| 35.0ms | 131× | 0 | valid |
| 28.0ms | 125× | 1 | exit |
Compiled 131 to 27 computations (79.4% saved)
ival-div: 14.0ms (30.7% of total)ival-sin: 7.0ms (15.4% of total)ival-mult: 6.0ms (13.2% of total)ival-tan: 5.0ms (11% of total)ival-cos: 5.0ms (11% of total)adjust: 3.0ms (6.6% of total)ival-sub: 3.0ms (6.6% of total)ival-add: 1.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ (/ (sin x) x) x) (tan (/ x 2)))> |
#<alt (/ (/ (sin x) x) x)> |
#<alt (/ (sin x) x)> |
#<alt (sin x)> |
#<alt (/ (- 1 1) (* x x))> |
#<alt (- 1 1)> |
#<alt (* x x)> |
#<alt (/ (/ (- 1 (cos x)) x) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (- 1 (cos x))> |
#<alt (cos x)> |
#<alt (/ (/ -1 x) (/ x (+ -1 (cos x))))> |
#<alt (/ -1 x)> |
#<alt (/ x (+ -1 (cos x)))> |
#<alt (+ -1 (cos x))> |
#<alt (/ (- x (* x (cos x))) (* x (* x x)))> |
#<alt (- x (* x (cos x)))> |
#<alt (* x (cos x))> |
#<alt (tan (/ x 2))> |
#<alt (* x (* x x))> |
| Outputs |
|---|
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* -1/6 (pow x 2))) x)> |
#<alt (/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)> |
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)> |
#<alt (/ (sin x) (pow x 2))> |
#<alt (/ (sin x) (pow x 2))> |
#<alt (/ (sin x) (pow x 2))> |
#<alt (/ (sin x) (pow x 2))> |
#<alt (/ (sin x) (pow x 2))> |
#<alt (/ (sin x) (pow x 2))> |
#<alt (/ (sin x) (pow x 2))> |
#<alt (/ (sin x) (pow x 2))> |
#<alt 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 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (* -1 (/ (- (cos x) 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 (/ -2 x)> |
#<alt (/ (- (* -1/6 (pow x 2)) 2) x)> |
#<alt (/ (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) x)> |
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2) x)> |
#<alt (/ x (- (cos x) 1))> |
#<alt (/ x (- (cos x) 1))> |
#<alt (/ x (- (cos x) 1))> |
#<alt (/ x (- (cos x) 1))> |
#<alt (/ x (- (cos x) 1))> |
#<alt (/ x (- (cos x) 1))> |
#<alt (/ x (- (cos x) 1))> |
#<alt (/ x (- (cos x) 1))> |
#<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 (* -1 (cos x))) (pow x 2))> |
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))> |
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))> |
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))> |
#<alt (* 1/2 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (* x (- 1 (cos x)))> |
#<alt (* x (- 1 (cos x)))> |
#<alt (* x (- 1 (cos x)))> |
#<alt (* x (- 1 (cos x)))> |
#<alt (* x (+ 1 (* -1 (cos x))))> |
#<alt (* x (+ 1 (* -1 (cos x))))> |
#<alt (* x (+ 1 (* -1 (cos x))))> |
#<alt (* x (+ 1 (* -1 (cos x))))> |
#<alt 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 (* 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 (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (/ (- x (* x (cos x))) (* x (* x x))) |
| 1.0ms | x | @ | inf | (/ (- x (* x (cos x))) (* x (* x x))) |
| 1.0ms | x | @ | -inf | (/ (- 1 (cos x)) x) |
| 1.0ms | x | @ | -inf | (/ (sin x) x) |
| 0.0ms | x | @ | -inf | (/ x (+ -1 (cos x))) |
| 1× | batch-egg-rewrite |
| 4 696× | *-lowering-*.f32 |
| 4 696× | *-lowering-*.f64 |
| 4 330× | /-lowering-/.f32 |
| 4 330× | /-lowering-/.f64 |
| 3 874× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 94 |
| 1 | 153 | 94 |
| 2 | 1111 | 94 |
| 0 | 8853 | 94 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (/ (sin x) x) x) (tan (/ x 2))) |
(/ (/ (sin x) x) x) |
(/ (sin x) x) |
(sin x) |
(/ (- 1 1) (* x x)) |
(- 1 1) |
(* x x) |
(/ (/ (- 1 (cos x)) x) x) |
(/ (- 1 (cos x)) x) |
(- 1 (cos x)) |
(cos x) |
(/ (/ -1 x) (/ x (+ -1 (cos x)))) |
(/ -1 x) |
(/ x (+ -1 (cos x))) |
(+ -1 (cos x)) |
(/ (- x (* x (cos x))) (* x (* x x))) |
(- x (* x (cos x))) |
(* x (cos x)) |
(tan (/ x 2)) |
(* x (* x x)) |
| Outputs |
|---|
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))) |
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (sin.f64 x) x) x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(neg.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (sin.f64 x) x) x)))) |
(neg.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 x (sin.f64 x))) (/.f64 #s(literal -1 binary64) x))) |
(neg.f64 (/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 x (sin.f64 x))) (-.f64 #s(literal 0 binary64) x))) |
(neg.f64 (/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x))) x)) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 x (/.f64 (sin.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) |
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(*.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 x (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x x) x) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) x) |
| 1× | egg-herbie |
| 14 578× | accelerator-lowering-fma.f32 |
| 14 578× | accelerator-lowering-fma.f64 |
| 4 992× | *-lowering-*.f32 |
| 4 992× | *-lowering-*.f64 |
| 3 302× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 143 | 1556 |
| 1 | 397 | 1544 |
| 2 | 954 | 1544 |
| 3 | 2799 | 1538 |
| 4 | 3959 | 1538 |
| 5 | 6769 | 1538 |
| 0 | 8225 | 1448 |
| 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)) |
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) |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(* -1 (/ (- (cos x) 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) |
(/ -2 x) |
(/ (- (* -1/6 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2) x) |
(/ x (- (cos x) 1)) |
(/ x (- (cos x) 1)) |
(/ x (- (cos x) 1)) |
(/ x (- (cos x) 1)) |
(/ x (- (cos x) 1)) |
(/ x (- (cos x) 1)) |
(/ x (- (cos x) 1)) |
(/ x (- (cos x) 1)) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(* 1/2 (pow x 3)) |
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* x (- 1 (cos x))) |
(* x (- 1 (cos x))) |
(* x (- 1 (cos x))) |
(* x (- 1 (cos x))) |
(* x (+ 1 (* -1 (cos x)))) |
(* x (+ 1 (* -1 (cos x)))) |
(* x (+ 1 (* -1 (cos x)))) |
(* x (+ 1 (* -1 (cos x)))) |
x |
(* x (+ 1 (* -1/2 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* 1/2 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))) |
(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))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 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 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 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)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 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)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))) |
(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) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 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))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 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 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 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 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 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) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 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))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 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) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (* -1/6 (pow x 2)) 2) x) |
(+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))) |
(/ (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) x) |
(+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/120 binary64)))))) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2) x) |
(+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/3024 binary64))))))) |
(/ x (- (cos x) 1)) |
(/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/ x (- (cos x) 1)) |
(/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/ x (- (cos x) 1)) |
(/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/ x (- (cos x) 1)) |
(/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/ x (- (cos x) 1)) |
(/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/ x (- (cos x) 1)) |
(/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/ x (- (cos x) 1)) |
(/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/ x (- (cos x) 1)) |
(/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(* -1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 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) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 x x) #s(literal 1/40320 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))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))))))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* 1/2 (pow x 3)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))))))))) |
(* x (- 1 (cos x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(* x (- 1 (cos x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(* x (- 1 (cos x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(* x (- 1 (cos x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(* x (+ 1 (* -1 (cos x)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(* x (+ 1 (* -1 (cos x)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(* x (+ 1 (* -1 (cos x)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(* x (+ 1 (* -1 (cos x)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
x |
(* x (+ 1 (* -1/2 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 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))) |
(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)) |
Compiled 44 047 to 3 061 computations (93.1% saved)
17 alts after pruning (10 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 076 | 6 | 2 082 |
| Fresh | 6 | 4 | 10 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 2 083 | 17 | 2 100 |
| Status | Accuracy | Program |
|---|---|---|
| 52.4% | (/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) x) x) | |
| 51.0% | (/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) | |
| ✓ | 52.4% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| 22.5% | (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) x) | |
| ✓ | 52.4% | (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 x)))) |
| ▶ | 79.8% | (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) |
| 52.4% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) | |
| ▶ | 52.4% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x)))) (-.f64 #s(literal 0 binary64) x)) |
| ✓ | 45.1% | (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) |
| ✓ | 51.1% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ▶ | 51.0% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x)) |
| ✓ | 99.7% | (*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
| ▶ | 52.4% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x)) |
| 45.1% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (+.f64 (cos.f64 x) #s(literal -1 binary64))) | |
| ✓ | 51.0% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
| ✓ | 50.9% | #s(literal 1/2 binary64) |
| ▶ | 30.0% | #s(literal 0 binary64) |
Compiled 321 to 205 computations (36.1% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x)))) (-.f64 #s(literal 0 binary64) x)) |
| ✓ | cost-diff | 256 | (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x)))) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (cos.f64 x) x) x) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 256 | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x)) |
| ✓ | cost-diff | 0 | (cos.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -2 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) |
| 824× | accelerator-lowering-fma.f32 |
| 824× | accelerator-lowering-fma.f64 |
| 592× | *-lowering-*.f32 |
| 592× | *-lowering-*.f64 |
| 542× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 131 |
| 1 | 52 | 123 |
| 2 | 106 | 123 |
| 3 | 260 | 121 |
| 4 | 705 | 120 |
| 5 | 1758 | 118 |
| 6 | 2406 | 118 |
| 7 | 2647 | 118 |
| 8 | 2750 | 118 |
| 9 | 2764 | 118 |
| 10 | 2768 | 118 |
| 11 | 2773 | 118 |
| 0 | 2773 | 116 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (/ -1 x) (+ (/ -2 x) (* x -1/6))) |
(/ -1 x) |
-1 |
x |
(+ (/ -2 x) (* x -1/6)) |
(/ -2 x) |
-2 |
(* x -1/6) |
-1/6 |
0 |
(* (/ (- 1 (cos x)) x) (/ 1 x)) |
(/ (- 1 (cos x)) x) |
(- 1 (cos x)) |
1 |
(cos x) |
x |
(/ 1 x) |
(- (/ 1 (* x x)) (/ (/ (cos x) x) x)) |
(/ 1 (* x x)) |
1 |
(* x x) |
x |
(/ (/ (cos x) x) x) |
(/ (cos x) x) |
(cos x) |
(/ (- (/ -1 x) (/ -1 (/ x (cos x)))) (- 0 x)) |
(- (/ -1 x) (/ -1 (/ x (cos x)))) |
(/ -1 x) |
-1 |
x |
(/ -1 (/ x (cos x))) |
(/ x (cos x)) |
(cos x) |
(- 0 x) |
0 |
| Outputs |
|---|
(/ (/ -1 x) (+ (/ -2 x) (* x -1/6))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
-1 |
#s(literal -1 binary64) |
x |
(+ (/ -2 x) (* x -1/6)) |
(+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
-2 |
#s(literal -2 binary64) |
(* x -1/6) |
(*.f64 x #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
0 |
#s(literal 0 binary64) |
(* (/ (- 1 (cos x)) x) (/ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(cos x) |
(cos.f64 x) |
x |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(- (/ 1 (* x x)) (/ (/ (cos x) x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ 1 (* x x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(* x x) |
(*.f64 x x) |
x |
(/ (/ (cos x) x) x) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(cos x) |
(cos.f64 x) |
(/ (- (/ -1 x) (/ -1 (/ x (cos x)))) (- 0 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(- (/ -1 x) (/ -1 (/ x (cos x)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
-1 |
#s(literal -1 binary64) |
x |
(/ -1 (/ x (cos x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) |
(/ x (cos x)) |
(/.f64 x (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
(- 0 x) |
(-.f64 #s(literal 0 binary64) x) |
0 |
#s(literal 0 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x)))) (-.f64 #s(literal 0 binary64) x)) |
| ✓ | accuracy | 99.8% | (/.f64 x (cos.f64 x)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x))) |
| ✓ | accuracy | 53.1% | (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x)))) |
| ✓ | accuracy | 99.8% | (/.f64 (cos.f64 x) x) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 (cos.f64 x) x) x) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | accuracy | 52.4% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x)) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 80.5% | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| ✓ | accuracy | 72.9% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -2 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal -1/6 binary64)) |
| 82.0ms | 71× | 2 | valid |
| 30.0ms | 131× | 0 | valid |
| 28.0ms | 54× | 1 | valid |
Compiled 140 to 28 computations (80% saved)
ival-cos: 47.0ms (40.6% of total)ival-div: 33.0ms (28.5% of total)adjust: 15.0ms (12.9% of total)ival-sub: 7.0ms (6% of total)ival-mult: 6.0ms (5.2% of total)const: 4.0ms (3.5% of total)ival-add: 2.0ms (1.7% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (/ -1 x) (+ (/ -2 x) (* x -1/6)))> |
#<alt (/ -1 x)> |
#<alt (+ (/ -2 x) (* x -1/6))> |
#<alt (/ -2 x)> |
#<alt (* (/ (- 1 (cos x)) x) (/ 1 x))> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (- 1 (cos x))> |
#<alt (cos x)> |
#<alt (- (/ 1 (* x x)) (/ (/ (cos x) x) x))> |
#<alt (/ 1 (* x x))> |
#<alt (* x x)> |
#<alt (/ (/ (cos x) x) x)> |
#<alt (- (/ -1 x) (/ -1 (/ x (cos x))))> |
#<alt (/ (- (/ -1 x) (/ -1 (/ x (cos x)))) (- 0 x))> |
#<alt (/ -1 (/ x (cos x)))> |
#<alt (* x -1/6)> |
#<alt (/ (cos x) x)> |
#<alt (/ x (cos x))> |
| Outputs |
|---|
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/288 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/288 (* -1/3456 (pow x 2)))) 1/24)))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ (- 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ (- 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) (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 (/ -2 x)> |
#<alt (/ (- (* -1/6 (pow x 2)) 2) x)> |
#<alt (/ (- (* -1/6 (pow x 2)) 2) x)> |
#<alt (/ (- (* -1/6 (pow x 2)) 2) x)> |
#<alt (* -1/6 x)> |
#<alt (* -1 (* x (+ 1/6 (* 2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (+ 1/6 (* 2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (+ 1/6 (* 2 (/ 1 (pow x 2))))))> |
#<alt (* -1/6 x)> |
#<alt (* -1 (* x (+ 1/6 (* 2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (+ 1/6 (* 2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (+ 1/6 (* 2 (/ 1 (pow x 2))))))> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -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 x)> |
#<alt (* x (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ 1 (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 (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 (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 x)> |
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))> |
#<alt (* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))> |
#<alt (* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))> |
#<alt (* -1 (/ (+ 1 (* -1 (cos x))) x))> |
#<alt (* -1 (/ (+ 1 (* -1 (cos x))) x))> |
#<alt (* -1 (/ (+ 1 (* -1 (cos x))) x))> |
#<alt (* -1 (/ (+ 1 (* -1 (cos x))) x))> |
#<alt (* -1 (/ (- 1 (cos x)) x))> |
#<alt (* -1 (/ (- 1 (cos x)) x))> |
#<alt (* -1 (/ (- 1 (cos x)) x))> |
#<alt (* -1 (/ (- 1 (cos x)) x))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (/ (+ 1 (* -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 (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 x)> |
#<alt (/ (- (* 1/2 (pow x 2)) 1) x)> |
#<alt (/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x)> |
#<alt (/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) 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 (/ (cos x) x))> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* -1/2 (pow x 2))) x)> |
#<alt (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)> |
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)> |
#<alt (/ (cos x) x)> |
#<alt (/ (cos x) x)> |
#<alt (/ (cos x) x)> |
#<alt (/ (cos x) x)> |
#<alt (/ (cos x) x)> |
#<alt (/ (cos x) x)> |
#<alt (/ (cos x) x)> |
#<alt (/ (cos x) x)> |
#<alt x> |
#<alt (* x (+ 1 (* 1/2 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/2 (* 5/24 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 5/24 (* 61/720 (pow x 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))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/ (- (/ -1 x) (/ -1 (/ x (cos x)))) (- 0 x)) |
| 0.0ms | x | @ | -inf | (/ x (cos x)) |
| 0.0ms | x | @ | inf | (/ (/ -1 x) (+ (/ -2 x) (* x -1/6))) |
| 0.0ms | x | @ | inf | (/ x (cos x)) |
| 0.0ms | x | @ | inf | (- (/ -1 x) (/ -1 (/ x (cos x)))) |
| 1× | batch-egg-rewrite |
| 3 226× | /-lowering-/.f32 |
| 3 226× | /-lowering-/.f64 |
| 3 074× | accelerator-lowering-fma.f32 |
| 3 074× | accelerator-lowering-fma.f64 |
| 2 242× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 99 |
| 1 | 188 | 95 |
| 2 | 2036 | 93 |
| 0 | 9500 | 91 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ -1 x) (+ (/ -2 x) (* x -1/6))) |
(/ -1 x) |
(+ (/ -2 x) (* x -1/6)) |
(/ -2 x) |
(* (/ (- 1 (cos x)) x) (/ 1 x)) |
(/ (- 1 (cos x)) x) |
(- 1 (cos x)) |
(cos x) |
(- (/ 1 (* x x)) (/ (/ (cos x) x) x)) |
(/ 1 (* x x)) |
(* x x) |
(/ (/ (cos x) x) x) |
(- (/ -1 x) (/ -1 (/ x (cos x)))) |
(/ (- (/ -1 x) (/ -1 (/ x (cos x)))) (- 0 x)) |
(/ -1 (/ x (cos x))) |
(* x -1/6) |
(/ (cos x) x) |
(/ x (cos x)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))) |
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(*.f64 (/.f64 x (cos.f64 x)) #s(literal -1 binary64)) |
(*.f64 (/.f64 x (cos.f64 x)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 x x)))) |
(*.f64 (/.f64 x (/.f64 (cos.f64 x) x)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(*.f64 (pow.f64 (/.f64 (cos.f64 x) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
| 1× | egg-herbie |
| 15 200× | accelerator-lowering-fma.f32 |
| 15 200× | accelerator-lowering-fma.f64 |
| 4 112× | *-lowering-*.f32 |
| 4 112× | *-lowering-*.f64 |
| 3 336× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 144 | 1452 |
| 1 | 373 | 1452 |
| 2 | 924 | 1446 |
| 3 | 2686 | 1414 |
| 4 | 5311 | 1414 |
| 5 | 7994 | 1414 |
| 0 | 8025 | 1333 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/288 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/288 (* -1/3456 (pow x 2)))) 1/24))) |
(/ 6 (pow x 2)) |
(/ (- 6 (* 72 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) (pow x 2)) |
(/ 6 (pow x 2)) |
(/ (- 6 (* 72 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) (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) |
(/ -2 x) |
(/ (- (* -1/6 (pow x 2)) 2) x) |
(/ (- (* -1/6 (pow x 2)) 2) x) |
(/ (- (* -1/6 (pow x 2)) 2) x) |
(* -1/6 x) |
(* -1 (* x (+ 1/6 (* 2 (/ 1 (pow x 2)))))) |
(* -1 (* x (+ 1/6 (* 2 (/ 1 (pow x 2)))))) |
(* -1 (* x (+ 1/6 (* 2 (/ 1 (pow x 2)))))) |
(* -1/6 x) |
(* -1 (* x (+ 1/6 (* 2 (/ 1 (pow x 2)))))) |
(* -1 (* x (+ 1/6 (* 2 (/ 1 (pow x 2)))))) |
(* -1 (* x (+ 1/6 (* 2 (/ 1 (pow x 2)))))) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -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 x) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ 1 (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 x) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(* -1 (/ (+ 1 (* -1 (cos x))) x)) |
(* -1 (/ (+ 1 (* -1 (cos x))) x)) |
(* -1 (/ (+ 1 (* -1 (cos x))) x)) |
(* -1 (/ (+ 1 (* -1 (cos x))) x)) |
(* -1 (/ (- 1 (cos x)) x)) |
(* -1 (/ (- 1 (cos x)) x)) |
(* -1 (/ (- 1 (cos x)) x)) |
(* -1 (/ (- 1 (cos x)) x)) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ -1 x) |
(/ (- (* 1/2 (pow x 2)) 1) x) |
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x) |
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) x) |
(* -1 (/ (cos x) x)) |
(* -1 (/ (cos x) x)) |
(* -1 (/ (cos x) x)) |
(* -1 (/ (cos x) x)) |
(* -1 (/ (cos x) x)) |
(* -1 (/ (cos x) x)) |
(* -1 (/ (cos x) x)) |
(* -1 (/ (cos x) x)) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(/ 1 x) |
(/ (+ 1 (* -1/2 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
x |
(* x (+ 1 (* 1/2 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/2 (* 5/24 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 5/24 (* 61/720 (pow x 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))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) |
(+ 1/2 (* (pow x 2) (- (* 1/288 (pow x 2)) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/288 binary64)))))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/288 (* -1/3456 (pow x 2)))) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/288 binary64) (*.f64 (*.f64 x x) #s(literal -1/3456 binary64)))))))) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ (- 6 (* 72 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 864 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -72 binary64) (*.f64 x x)))) (*.f64 x x)) |
(/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 864 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -10368 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ (- 6 (* 72 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 864 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -72 binary64) (*.f64 x x)))) (*.f64 x x)) |
(/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 864 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -10368 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x 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) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (* -1/6 (pow x 2)) 2) x) |
(+.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* -1/6 (pow x 2)) 2) x) |
(+.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* -1/6 (pow x 2)) 2) x) |
(+.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1 (* x (+ 1/6 (* 2 (/ 1 (pow x 2)))))) |
(+.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(* -1 (* x (+ 1/6 (* 2 (/ 1 (pow x 2)))))) |
(+.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(* -1 (* x (+ 1/6 (* 2 (/ 1 (pow x 2)))))) |
(+.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1 (* x (+ 1/6 (* 2 (/ 1 (pow x 2)))))) |
(+.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(* -1 (* x (+ 1/6 (* 2 (/ 1 (pow x 2)))))) |
(+.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(* -1 (* x (+ 1/6 (* 2 (/ 1 (pow x 2)))))) |
(+.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))))))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 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 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 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) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 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))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64)))))))) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))))))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x)) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) (*.f64 x x)) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64)))))))) (*.f64 x x)) |
(/ (cos x) (pow x 2)) |
(/.f64 (/.f64 (cos.f64 x) x) x) |
(/ (cos x) (pow x 2)) |
(/.f64 (/.f64 (cos.f64 x) x) x) |
(/ (cos x) (pow x 2)) |
(/.f64 (/.f64 (cos.f64 x) x) x) |
(/ (cos x) (pow x 2)) |
(/.f64 (/.f64 (cos.f64 x) x) x) |
(/ (cos x) (pow x 2)) |
(/.f64 (/.f64 (cos.f64 x) x) x) |
(/ (cos x) (pow x 2)) |
(/.f64 (/.f64 (cos.f64 x) x) x) |
(/ (cos x) (pow x 2)) |
(/.f64 (/.f64 (cos.f64 x) x) x) |
(/ (cos x) (pow x 2)) |
(/.f64 (/.f64 (cos.f64 x) x) x) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))))) |
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 x x) #s(literal 1/40320 binary64))))))))) |
(* -1 (/ (+ 1 (* -1 (cos x))) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(* -1 (/ (+ 1 (* -1 (cos x))) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(* -1 (/ (+ 1 (* -1 (cos x))) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(* -1 (/ (+ 1 (* -1 (cos x))) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(* -1 (/ (- 1 (cos x)) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(* -1 (/ (- 1 (cos x)) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(* -1 (/ (- 1 (cos x)) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(* -1 (/ (- 1 (cos x)) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))))))) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (* 1/2 (pow x 2)) 1) x) |
(+.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) |
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x) |
(+.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))))) |
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) x) |
(+.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) |
(* -1 (/ (cos x) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x)) |
(* -1 (/ (cos x) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x)) |
(* -1 (/ (cos x) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x)) |
(* -1 (/ (cos x) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x)) |
(* -1 (/ (cos x) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x)) |
(* -1 (/ (cos x) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x)) |
(* -1 (/ (cos x) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x)) |
(* -1 (/ (cos x) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1/2 (pow x 2))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64)))))))) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
x |
(* x (+ 1 (* 1/2 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* x (+ 1 (* (pow x 2) (+ 1/2 (* 5/24 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))) |
(* x (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 5/24 (* 61/720 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal 61/720 binary64)))))))))) |
(/ 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)) |
Compiled 34 006 to 2 553 computations (92.5% saved)
25 alts after pruning (14 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 611 | 11 | 1 622 |
| Fresh | 2 | 3 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 7 | 7 |
| Total | 1 614 | 25 | 1 639 |
| Status | Accuracy | Program |
|---|---|---|
| 52.4% | (/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) x) x) | |
| ✓ | 52.4% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| 79.7% | (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) x) | |
| ✓ | 52.4% | (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 x)))) |
| 79.8% | (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))))) | |
| 32.9% | (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x #s(literal -1/6 binary64))) | |
| 52.4% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) | |
| ✓ | 52.4% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x)))) (-.f64 #s(literal 0 binary64) x)) |
| 33.4% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal 61/720 binary64)))))))))))) (-.f64 #s(literal 0 binary64) x)) | |
| 33.4% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))))) (-.f64 #s(literal 0 binary64) x)) | |
| 33.4% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) x)) | |
| ✓ | 45.1% | (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) |
| ✓ | 51.1% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 31.5% | (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) (*.f64 x x)) | |
| 51.8% | (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) | |
| 33.0% | (/.f64 #s(literal 6 binary64) (*.f64 x x)) | |
| 45.1% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (-.f64 x (*.f64 x (cos.f64 x))))) | |
| 79.8% | (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))) | |
| ✓ | 51.0% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x)) |
| ✓ | 99.7% | (*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
| ✓ | 52.4% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x)) |
| 45.1% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (+.f64 (cos.f64 x) #s(literal -1 binary64))) | |
| ✓ | 51.0% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
| ✓ | 50.9% | #s(literal 1/2 binary64) |
| ✓ | 30.0% | #s(literal 0 binary64) |
Compiled 825 to 360 computations (56.4% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x #s(literal -1/6 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) x) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))) |
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) x) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))))) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal 61/720 binary64)))))))))))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(*.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 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(/.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 (cos.f64 x) x)) x) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 x)))) |
(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 x) x)) x) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x)) |
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) |
(/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) x) x) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (-.f64 x (*.f64 x (cos.f64 x))))) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x)))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
2 calls:
| 18.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 15.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x #s(literal -1/6 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) x) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))) |
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) x) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))))) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal 61/720 binary64)))))))))))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(*.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 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(/.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 (cos.f64 x) x)) x) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 x)))) |
(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 x) x)) x) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x)) |
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) |
(/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) x) x) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (-.f64 x (*.f64 x (cos.f64 x))))) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x)))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(literal 1/2 binary64) |
(/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) x) x) |
2 calls:
| 14.0ms | x |
| 10.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 99.7% | 2 | x |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x #s(literal -1/6 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) x) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))) |
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) x) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))))) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal 61/720 binary64)))))))))))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(*.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 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(/.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 (cos.f64 x) x)) x) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 x)))) |
(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 x) x)) x) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x)) |
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) |
| Outputs |
|---|
#s(literal 1/2 binary64) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
1 calls:
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x #s(literal -1/6 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) x) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))) |
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) x) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))))) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal 61/720 binary64)))))))))))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| Outputs |
|---|
#s(literal 1/2 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x #s(literal -1/6 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) x) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))) |
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) x) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))))) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal 61/720 binary64)))))))))))) (-.f64 #s(literal 0 binary64) x)) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.8% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x #s(literal -1/6 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) x) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))) |
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.8% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x #s(literal -1/6 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) x) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
| Outputs |
|---|
#s(literal 1/2 binary64) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.9% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 0 binary64) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.6% | 2 | x |
Compiled 2 to 1 computations (50% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(literal 0 binary64) |
| Outputs |
|---|
#s(literal 0 binary64) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 30.0% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 5.434670211358786e-10 | 6381.930146793615 |
| 9.0ms | 64× | 1 | valid |
| 5.0ms | 96× | 0 | valid |
Compiled 182 to 130 computations (28.6% saved)
ival-mult: 4.0ms (40.1% of total)ival-cos: 3.0ms (30.1% of total)adjust: 1.0ms (10% of total)ival-div: 1.0ms (10% of total)ival-sub: 1.0ms (10% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 5.434670211358786e-10 | 6381.930146793615 |
| 13.0ms | 64× | 1 | valid |
| 4.0ms | 96× | 0 | valid |
Compiled 142 to 110 computations (22.5% saved)
ival-div: 8.0ms (56.3% of total)ival-cos: 2.0ms (14.1% of total)adjust: 1.0ms (7% of total)ival-mult: 1.0ms (7% of total)ival-sub: 1.0ms (7% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 5.434670211358786e-10 | 6381.930146793615 |
| 8.0ms | 64× | 1 | valid |
| 4.0ms | 96× | 0 | valid |
Compiled 142 to 110 computations (22.5% saved)
ival-cos: 4.0ms (45.8% of total)adjust: 1.0ms (11.5% of total)ival-div: 1.0ms (11.5% of total)ival-mult: 1.0ms (11.5% of total)ival-sub: 1.0ms (11.5% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 5.434670211358786e-10 | 6381.930146793615 |
| 11.0ms | 160× | 0 | valid |
Compiled 112 to 90 computations (19.6% saved)
ival-cos: 5.0ms (67% of total)ival-sub: 1.0ms (13.4% of total)ival-div: 1.0ms (13.4% of total)ival-mult: 1.0ms (13.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 2.6658618643215298e+76 | 3.206684291073635e+78 |
| 8.0ms | 112× | 0 | valid |
Compiled 54 to 52 computations (3.7% saved)
ival-cos: 4.0ms (69.9% of total)ival-sub: 1.0ms (17.5% of total)ival-div: 1.0ms (17.5% of total)ival-mult: 1.0ms (17.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 10× | *-commutative_binary64 |
| 6× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 93 |
| 1 | 53 | 93 |
| 2 | 56 | 93 |
| 3 | 58 | 93 |
| 4 | 59 | 93 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(if (<=.f64 x #s(literal 2582544170319337/18446744073709551616 binary64)) #s(literal 1/2 binary64) (/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) x) x)) |
(if (<=.f64 x #s(literal 2582544170319337/18446744073709551616 binary64)) #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) |
(if (<=.f64 x #s(literal 2582544170319337/18446744073709551616 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))) |
(if (<=.f64 x #s(literal 7/2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(if (<=.f64 x #s(literal 140000000000000000160666652390804640313986050345482420611089958357404152233984 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(if (<=.f64 x #s(literal 2582544170319337/18446744073709551616 binary64)) #s(literal 1/2 binary64) (/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) x) x)) |
(if (<=.f64 x #s(literal 2582544170319337/18446744073709551616 binary64)) #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) |
(if (<=.f64 x #s(literal 2582544170319337/18446744073709551616 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))) |
(if (<=.f64 x #s(literal 7/2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(if (<=.f64 x #s(literal 140000000000000000160666652390804640313986050345482420611089958357404152233984 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
| 16 752× | accelerator-lowering-fma.f32 |
| 16 752× | accelerator-lowering-fma.f64 |
| 15 200× | accelerator-lowering-fma.f32 |
| 15 200× | accelerator-lowering-fma.f64 |
| 14 578× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 94 |
| 1 | 153 | 94 |
| 2 | 1111 | 94 |
| 0 | 8853 | 94 |
| 0 | 143 | 1556 |
| 1 | 397 | 1544 |
| 2 | 954 | 1544 |
| 3 | 2799 | 1538 |
| 4 | 3959 | 1538 |
| 5 | 6769 | 1538 |
| 0 | 8225 | 1448 |
| 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 | 6 | 17 |
| 1 | 36 | 17 |
| 2 | 264 | 17 |
| 3 | 2800 | 17 |
| 0 | 9643 | 17 |
| 0 | 22 | 91 |
| 1 | 145 | 84 |
| 2 | 1272 | 82 |
| 0 | 8948 | 82 |
| 0 | 144 | 1452 |
| 1 | 373 | 1452 |
| 2 | 924 | 1446 |
| 3 | 2686 | 1414 |
| 4 | 5311 | 1414 |
| 5 | 7994 | 1414 |
| 0 | 8025 | 1333 |
| 0 | 26 | 99 |
| 1 | 188 | 95 |
| 2 | 2036 | 93 |
| 0 | 9500 | 91 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 282 to 176 computations (37.6% saved)
Compiled 242 to 124 computations (48.8% saved)
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