
Time bar (total: 19.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 50.6% | 49.4% | 0% | 0% | 0% | 0 |
| 0% | 0% | 50.6% | 49.4% | 0% | 0% | 0% | 1 |
| 0% | 0% | 50.6% | 49.4% | 0% | 0% | 0% | 2 |
| 0% | 0% | 25.3% | 49.4% | 0% | 25.3% | 0% | 3 |
| 0% | 0% | 25.3% | 49.4% | 0% | 25.3% | 0% | 4 |
| 0% | 0% | 19% | 49.4% | 0% | 31.6% | 0% | 5 |
| 0% | 0% | 15.8% | 49.4% | 0% | 34.8% | 0% | 6 |
| 0% | 0% | 11.1% | 49.4% | 0% | 39.5% | 0% | 7 |
| 0% | 0% | 8.7% | 49.4% | 0% | 41.9% | 0% | 8 |
| 0% | 0% | 5.9% | 49.4% | 0% | 44.6% | 0% | 9 |
| 0% | 0% | 4.5% | 49.4% | 0% | 46% | 0% | 10 |
| 0% | 0% | 3.1% | 49.4% | 0% | 47.5% | 0% | 11 |
| 0% | 0% | 2.7% | 49.4% | 0% | 47.9% | 0% | 12 |
Compiled 27 to 19 computations (29.6% saved)
| 4.2s | 26 270× | 0 | invalid |
| 3.4s | 5 613× | 2 | valid |
| 602.0ms | 2 506× | 1 | valid |
| 17.0ms | 137× | 0 | valid |
ival-cos: 3.1s (47.8% of total)const: 696.0ms (10.9% of total)adjust: 515.0ms (8.1% of total)ival-fabs: 403.0ms (6.3% of total)ival-mult: 392.0ms (6.1% of total)ival-sub: 355.0ms (5.6% of total)ival-<: 335.0ms (5.2% of total)ival-<=: 247.0ms (3.9% of total)ival-add: 224.0ms (3.5% of total)ival-and: 104.0ms (1.6% of total)exact: 44.0ms (0.7% of total)ival-assert: 14.0ms (0.2% of total)| 1× | egg-herbie |
| 108× | sub-neg |
| 80× | lower-fma.f64 |
| 80× | lower-fma.f32 |
| 80× | associate--r+ |
| 66× | cancel-sign-sub-inv |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 41 |
| 1 | 38 | 37 |
| 2 | 81 | 35 |
| 3 | 152 | 35 |
| 4 | 278 | 35 |
| 5 | 370 | 35 |
| 6 | 448 | 35 |
| 7 | 485 | 35 |
| 8 | 531 | 35 |
| 9 | 546 | 35 |
| 10 | 554 | 35 |
| 0 | 6 | 7 |
| 0 | 10 | 7 |
| 1 | 13 | 7 |
| 2 | 18 | 7 |
| 3 | 24 | 7 |
| 4 | 32 | 7 |
| 5 | 47 | 7 |
| 6 | 80 | 7 |
| 7 | 107 | 7 |
| 8 | 151 | 7 |
| 9 | 166 | 7 |
| 10 | 174 | 7 |
| 0 | 174 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Outputs |
|---|
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 132 | 1 | (-2.2458669428694582e-160 1.8459190091938433e-163) | 0 | - | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 3 | 0 | - | 0 | - | (cos.f64 (+.f64 x eps)) |
| 0 | 0 | - | 0 | - | eps |
| 0 | 0 | - | 0 | - | (+.f64 x eps) |
| 0 | 0 | - | 0 | - | (cos.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) | cancellation | 133 | 0 |
cos.f64 | (cos.f64 (+.f64 x eps)) | sensitivity | 3 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 132 | 0 |
| - | 1 | 123 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 132 | 0 | 0 |
| - | 1 | 0 | 123 |
| number | freq |
|---|---|
| 0 | 123 |
| 1 | 130 |
| 2 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 137.0ms | 362× | 2 | valid |
| 20.0ms | 136× | 1 | valid |
| 1.0ms | 14× | 0 | valid |
Compiled 58 to 28 computations (51.7% saved)
ival-cos: 106.0ms (79% of total)adjust: 18.0ms (13.4% of total)ival-sub: 6.0ms (4.5% of total)ival-add: 3.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.0% | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cos.f64 x) |
| ✓ | cost-diff | 0 | (+.f64 x eps) |
| ✓ | cost-diff | 0 | (cos.f64 (+.f64 x eps)) |
| ✓ | cost-diff | 0 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 80× | lower-fma.f64 |
| 80× | lower-fma.f32 |
| 48× | lower-*.f64 |
| 48× | lower-*.f32 |
| 36× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 10 | 18 |
| 1 | 13 | 18 |
| 2 | 18 | 18 |
| 3 | 24 | 18 |
| 4 | 32 | 18 |
| 5 | 47 | 18 |
| 6 | 80 | 18 |
| 7 | 107 | 18 |
| 8 | 151 | 18 |
| 9 | 166 | 18 |
| 10 | 174 | 18 |
| 0 | 174 | 18 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(cos.f64 (+.f64 x eps)) |
(+.f64 x eps) |
x |
eps |
(cos.f64 x) |
| Outputs |
|---|
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(cos.f64 (+.f64 x eps)) |
(+.f64 x eps) |
x |
eps |
(cos.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x eps) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 99.8% | (cos.f64 (+.f64 x eps)) |
| ✓ | accuracy | 54.3% | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 66.0ms | 181× | 2 | valid |
| 8.0ms | 68× | 1 | valid |
| 1.0ms | 7× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-cos: 49.0ms (77.4% of total)adjust: 10.0ms (15.8% of total)ival-sub: 3.0ms (4.7% of total)ival-add: 2.0ms (3.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))> |
#<alt (cos.f64 (+.f64 x eps))> |
#<alt (cos.f64 x)> |
#<alt (+.f64 x eps)> |
| Outputs |
|---|
#<alt (- (cos eps) 1)> |
#<alt (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)> |
#<alt (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)> |
#<alt (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)> |
#<alt (- (cos (+ eps x)) (cos x))> |
#<alt (- (cos (+ eps x)) (cos x))> |
#<alt (- (cos (+ eps x)) (cos x))> |
#<alt (- (cos (+ eps x)) (cos x))> |
#<alt (- (cos (- eps (* -1 x))) (cos x))> |
#<alt (- (cos (- eps (* -1 x))) (cos x))> |
#<alt (- (cos (- eps (* -1 x))) (cos x))> |
#<alt (- (cos (- eps (* -1 x))) (cos x))> |
#<alt (* -1 (* eps (sin x)))> |
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))> |
#<alt (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))> |
#<alt (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))> |
#<alt (- (cos (+ eps x)) (cos x))> |
#<alt (- (cos (+ eps x)) (cos x))> |
#<alt (- (cos (+ eps x)) (cos x))> |
#<alt (- (cos (+ eps x)) (cos x))> |
#<alt (- (cos (- x (* -1 eps))) (cos x))> |
#<alt (- (cos (- x (* -1 eps))) (cos x))> |
#<alt (- (cos (- x (* -1 eps))) (cos x))> |
#<alt (- (cos (- x (* -1 eps))) (cos x))> |
#<alt (cos eps)> |
#<alt (+ (cos eps) (* -1 (* x (sin eps))))> |
#<alt (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))> |
#<alt (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))> |
#<alt (cos (+ eps x))> |
#<alt (cos (+ eps x))> |
#<alt (cos (+ eps x))> |
#<alt (cos (+ eps x))> |
#<alt (cos (- eps (* -1 x)))> |
#<alt (cos (- eps (* -1 x)))> |
#<alt (cos (- eps (* -1 x)))> |
#<alt (cos (- eps (* -1 x)))> |
#<alt (cos x)> |
#<alt (+ (cos x) (* -1 (* eps (sin x))))> |
#<alt (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))> |
#<alt (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))> |
#<alt (cos (+ eps x))> |
#<alt (cos (+ eps x))> |
#<alt (cos (+ eps x))> |
#<alt (cos (+ eps x))> |
#<alt (cos (- x (* -1 eps)))> |
#<alt (cos (- x (* -1 eps)))> |
#<alt (cos (- x (* -1 eps)))> |
#<alt (cos (- x (* -1 eps)))> |
#<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 eps> |
#<alt (+ eps x)> |
#<alt (+ eps x)> |
#<alt (+ eps x)> |
#<alt x> |
#<alt (* x (+ 1 (/ eps x)))> |
#<alt (* x (+ 1 (/ eps x)))> |
#<alt (* x (+ 1 (/ eps x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))> |
#<alt x> |
#<alt (+ eps x)> |
#<alt (+ eps x)> |
#<alt (+ eps x)> |
#<alt eps> |
#<alt (* eps (+ 1 (/ x eps)))> |
#<alt (* eps (+ 1 (/ x eps)))> |
#<alt (* eps (+ 1 (/ x eps)))> |
#<alt eps> |
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))> |
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))> |
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))> |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | inf | (- (cos (+ x eps)) (cos x)) |
| 0.0ms | x | @ | 0 | (- (cos (+ x eps)) (cos x)) |
| 0.0ms | eps | @ | 0 | (- (cos (+ x eps)) (cos x)) |
| 0.0ms | x | @ | -inf | (- (cos (+ x eps)) (cos x)) |
| 0.0ms | x | @ | inf | (+ x eps) |
| 1× | batch-egg-rewrite |
| 4 936× | lower-fma.f64 |
| 4 936× | lower-fma.f32 |
| 4 656× | lower-*.f64 |
| 4 656× | lower-*.f32 |
| 2 192× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 10 | 16 |
| 1 | 54 | 16 |
| 2 | 380 | 16 |
| 3 | 4694 | 16 |
| 0 | 8209 | 16 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(cos.f64 (+.f64 x eps)) |
(cos.f64 x) |
(+.f64 x eps) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) #s(literal -1 binary64))) |
(+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) |
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 (neg.f64 eps)) (neg.f64 (cos.f64 x)))) |
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))) |
(+.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps))) |
(+.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) |
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) |
(-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(-.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) #s(literal 0 binary64)) (cos.f64 x)) |
(fma.f64 (cos.f64 (+.f64 x eps)) (/.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) |
(fma.f64 (cos.f64 (+.f64 x eps)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
(fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 (neg.f64 eps)) (neg.f64 (cos.f64 x)))) |
(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))) |
(fma.f64 (cos.f64 x) #s(literal -1 binary64) (cos.f64 (+.f64 x eps))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (fma.f64 (sin.f64 x) (sin.f64 (neg.f64 eps)) (neg.f64 (cos.f64 x)))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (-.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))) |
(fma.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(fma.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 x eps))) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
(fma.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 x eps))) #s(literal 1/2 binary64) (fma.f64 (sin.f64 x) (sin.f64 (neg.f64 eps)) (neg.f64 (cos.f64 x)))) |
(fma.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 x eps))) #s(literal 1/2 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))) |
(fma.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 (-.f64 x eps))))) (neg.f64 (cos.f64 x))) |
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(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 x eps))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 eps eps)) (-.f64 x eps))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x eps) (neg.f64 (-.f64 x eps)))) (neg.f64 (neg.f64 (-.f64 x eps)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 eps x))) (neg.f64 (-.f64 eps x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps))) (/.f64 (*.f64 x x) (-.f64 x eps))) (*.f64 (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))) (/.f64 (*.f64 eps eps) (-.f64 x eps)))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps)) (fma.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps))) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))) (fma.f64 x (/.f64 x (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (fma.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (fma.f64 x x (*.f64 eps eps))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 eps x) (*.f64 (+.f64 x eps) (-.f64 eps x))) #s(literal -1 binary64)) |
(*.f64 (+.f64 x eps) (*.f64 (-.f64 x eps) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) |
(*.f64 (+.f64 x eps) (/.f64 (-.f64 x eps) (-.f64 x eps))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) |
(*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (*.f64 (+.f64 x eps) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) |
(*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (/.f64 (+.f64 x eps) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) |
(*.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) |
(*.f64 (*.f64 (+.f64 x eps) (neg.f64 (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x eps)))) |
(*.f64 #s(literal 1 binary64) (+.f64 x eps)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x eps) (-.f64 x eps))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)) (/.f64 #s(literal 1 binary64) (-.f64 eps x))) |
(*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (+.f64 x eps)) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (fma.f64 (*.f64 eps (-.f64 eps x)) (*.f64 (*.f64 eps (-.f64 eps x)) (*.f64 eps (-.f64 eps x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 eps (-.f64 eps x)) (-.f64 (*.f64 eps (-.f64 eps x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (fma.f64 x x (*.f64 eps (+.f64 x eps)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x eps) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x eps) (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps eps)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)))) |
| 1× | egg-herbie |
| 14 158× | lower-fma.f64 |
| 14 158× | lower-fma.f32 |
| 4 148× | lower-*.f64 |
| 4 148× | lower-*.f32 |
| 3 720× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 498 |
| 1 | 277 | 495 |
| 2 | 609 | 495 |
| 3 | 2401 | 494 |
| 4 | 7937 | 494 |
| 0 | 8087 | 474 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (cos eps) 1) |
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1) |
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1) |
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1) |
(- (cos (+ eps x)) (cos x)) |
(- (cos (+ eps x)) (cos x)) |
(- (cos (+ eps x)) (cos x)) |
(- (cos (+ eps x)) (cos x)) |
(- (cos (- eps (* -1 x))) (cos x)) |
(- (cos (- eps (* -1 x))) (cos x)) |
(- (cos (- eps (* -1 x))) (cos x)) |
(- (cos (- eps (* -1 x))) (cos x)) |
(* -1 (* eps (sin x))) |
(* eps (- (* -1/2 (* eps (cos x))) (sin x))) |
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) |
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) |
(- (cos (+ eps x)) (cos x)) |
(- (cos (+ eps x)) (cos x)) |
(- (cos (+ eps x)) (cos x)) |
(- (cos (+ eps x)) (cos x)) |
(- (cos (- x (* -1 eps))) (cos x)) |
(- (cos (- x (* -1 eps))) (cos x)) |
(- (cos (- x (* -1 eps))) (cos x)) |
(- (cos (- x (* -1 eps))) (cos x)) |
(cos eps) |
(+ (cos eps) (* -1 (* x (sin eps)))) |
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps)))) |
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps)))) |
(cos (+ eps x)) |
(cos (+ eps x)) |
(cos (+ eps x)) |
(cos (+ eps x)) |
(cos (- eps (* -1 x))) |
(cos (- eps (* -1 x))) |
(cos (- eps (* -1 x))) |
(cos (- eps (* -1 x))) |
(cos x) |
(+ (cos x) (* -1 (* eps (sin x)))) |
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) |
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) |
(cos (+ eps x)) |
(cos (+ eps x)) |
(cos (+ eps x)) |
(cos (+ eps x)) |
(cos (- x (* -1 eps))) |
(cos (- x (* -1 eps))) |
(cos (- x (* -1 eps))) |
(cos (- x (* -1 eps))) |
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) |
eps |
(+ eps x) |
(+ eps x) |
(+ eps x) |
x |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
x |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
x |
(+ eps x) |
(+ eps x) |
(+ eps x) |
eps |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
eps |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
| Outputs |
|---|
(- (cos eps) 1) |
(+.f64 (cos.f64 eps) #s(literal -1 binary64)) |
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1) |
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) |
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1) |
(-.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) |
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1) |
(+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 eps) (*.f64 x (*.f64 (sin.f64 eps) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))))) |
(- (cos (+ eps x)) (cos x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(- (cos (+ eps x)) (cos x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(- (cos (+ eps x)) (cos x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(- (cos (+ eps x)) (cos x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(- (cos (- eps (* -1 x))) (cos x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(- (cos (- eps (* -1 x))) (cos x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(- (cos (- eps (* -1 x))) (cos x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(- (cos (- eps (* -1 x))) (cos x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(* -1 (* eps (sin x))) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(* eps (- (* -1/2 (* eps (cos x))) (sin x))) |
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))) |
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) |
(*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (sin.f64 (neg.f64 x)))) |
(- (cos (+ eps x)) (cos x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(- (cos (+ eps x)) (cos x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(- (cos (+ eps x)) (cos x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(- (cos (+ eps x)) (cos x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(- (cos (- x (* -1 eps))) (cos x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(- (cos (- x (* -1 eps))) (cos x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(- (cos (- x (* -1 eps))) (cos x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(- (cos (- x (* -1 eps))) (cos x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(cos eps) |
(cos.f64 eps) |
(+ (cos eps) (* -1 (* x (sin eps)))) |
(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) |
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps)))) |
(fma.f64 x (sin.f64 (neg.f64 eps)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 eps))) |
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps)))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 eps) (*.f64 x (*.f64 (sin.f64 eps) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(cos (+ eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos (- eps (* -1 x))) |
(cos.f64 (+.f64 eps x)) |
(cos (- eps (* -1 x))) |
(cos.f64 (+.f64 eps x)) |
(cos (- eps (* -1 x))) |
(cos.f64 (+.f64 eps x)) |
(cos (- eps (* -1 x))) |
(cos.f64 (+.f64 eps x)) |
(cos x) |
(cos.f64 x) |
(+ (cos x) (* -1 (* eps (sin x)))) |
(-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) |
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) |
(-.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 x)) (*.f64 eps (sin.f64 x))) |
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) |
(fma.f64 (fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(cos (+ eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos (- x (* -1 eps))) |
(cos.f64 (+.f64 eps x)) |
(cos (- x (* -1 eps))) |
(cos.f64 (+.f64 eps x)) |
(cos (- x (* -1 eps))) |
(cos.f64 (+.f64 eps x)) |
(cos (- x (* -1 eps))) |
(cos.f64 (+.f64 eps x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
eps |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
x |
(* x (+ 1 (/ eps x))) |
(+.f64 eps x) |
(* x (+ 1 (/ eps x))) |
(+.f64 eps x) |
(* x (+ 1 (/ eps x))) |
(+.f64 eps x) |
x |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(+.f64 eps x) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(+.f64 eps x) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(+.f64 eps x) |
x |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
eps |
(* eps (+ 1 (/ x eps))) |
(+.f64 eps x) |
(* eps (+ 1 (/ x eps))) |
(+.f64 eps x) |
(* eps (+ 1 (/ x eps))) |
(+.f64 eps x) |
eps |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(+.f64 eps x) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(+.f64 eps x) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(+.f64 eps x) |
| 1× | egg-herbie |
| 2× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 630 | 6837 |
| 1 | 631 | 6837 |
| 0 | 631 | 6837 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) #s(literal -1 binary64))) |
(+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) |
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 (neg.f64 eps)) (neg.f64 (cos.f64 x)))) |
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))) |
(+.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps))) |
(+.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) |
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) |
(-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(-.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) #s(literal 0 binary64)) (cos.f64 x)) |
(fma.f64 (cos.f64 (+.f64 x eps)) (/.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) |
(fma.f64 (cos.f64 (+.f64 x eps)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
(fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 (neg.f64 eps)) (neg.f64 (cos.f64 x)))) |
(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))) |
(fma.f64 (cos.f64 x) #s(literal -1 binary64) (cos.f64 (+.f64 x eps))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (fma.f64 (sin.f64 x) (sin.f64 (neg.f64 eps)) (neg.f64 (cos.f64 x)))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (-.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))) |
(fma.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(fma.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 x eps))) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
(fma.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 x eps))) #s(literal 1/2 binary64) (fma.f64 (sin.f64 x) (sin.f64 (neg.f64 eps)) (neg.f64 (cos.f64 x)))) |
(fma.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 x eps))) #s(literal 1/2 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))) |
(fma.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 (-.f64 x eps))))) (neg.f64 (cos.f64 x))) |
(fma.f64 #s(literal -1 binary64) (cos.f64 x) (cos.f64 (+.f64 x eps))) |
(fma.f64 (*.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 x eps))) (neg.f64 (cos.f64 x))) |
(fma.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 x eps)) (*.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) |
(fma.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(fma.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 (-.f64 x eps))))) #s(literal 1 binary64)) (neg.f64 (cos.f64 x))) |
(fma.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 x eps))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 x eps))) #s(literal 1 binary64)) (neg.f64 (cos.f64 x))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))))) |
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (neg.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) |
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(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 (-.f64 x eps)))))) |
(*.f64 (*.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 x eps)))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 (-.f64 x eps))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 x eps))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 x eps))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x))) |
(cos.f64 x) |
(cos.f64 (neg.f64 x)) |
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x))) |
(pow.f64 (cos.f64 x) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps))) #s(literal -1 binary64))) |
(+.f64 x eps) |
(+.f64 eps x) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (neg.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))) |
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps x)) (/.f64 (*.f64 x x) (-.f64 eps x))) |
(fma.f64 x (/.f64 x (-.f64 x eps)) (neg.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (neg.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x eps) (-.f64 x eps))) (+.f64 x eps) (neg.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (fma.f64 x x (*.f64 eps (+.f64 x eps))) (neg.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)))) |
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) |
(neg.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (neg.f64 (-.f64 x eps)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) |
(neg.f64 (/.f64 (*.f64 (+.f64 x eps) (neg.f64 (-.f64 x eps))) (-.f64 x eps))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) |
(/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 x eps)) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) |
(/.f64 (*.f64 (+.f64 x eps) (neg.f64 (-.f64 x eps))) (neg.f64 (-.f64 x eps))) |
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x eps))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps x) (*.f64 (+.f64 x eps) (-.f64 eps x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (*.f64 (-.f64 x eps) (fma.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)) (-.f64 eps x)) |
(/.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (*.f64 (-.f64 x eps) (fma.f64 x x (*.f64 eps eps)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (-.f64 x eps) (-.f64 x eps))) |
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 x eps))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 eps eps)) (-.f64 x eps))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x eps) (neg.f64 (-.f64 x eps)))) (neg.f64 (neg.f64 (-.f64 x eps)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 eps x))) (neg.f64 (-.f64 eps x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps))) (/.f64 (*.f64 x x) (-.f64 x eps))) (*.f64 (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))) (/.f64 (*.f64 eps eps) (-.f64 x eps)))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps)) (fma.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps))) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))) (fma.f64 x (/.f64 x (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (fma.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (fma.f64 x x (*.f64 eps eps))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 eps x) (*.f64 (+.f64 x eps) (-.f64 eps x))) #s(literal -1 binary64)) |
(*.f64 (+.f64 x eps) (*.f64 (-.f64 x eps) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) |
(*.f64 (+.f64 x eps) (/.f64 (-.f64 x eps) (-.f64 x eps))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) |
(*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (*.f64 (+.f64 x eps) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) |
(*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (/.f64 (+.f64 x eps) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) |
(*.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) |
(*.f64 (*.f64 (+.f64 x eps) (neg.f64 (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x eps)))) |
(*.f64 #s(literal 1 binary64) (+.f64 x eps)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x eps) (-.f64 x eps))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)) (/.f64 #s(literal 1 binary64) (-.f64 eps x))) |
(*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (+.f64 x eps)) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (fma.f64 (*.f64 eps (-.f64 eps x)) (*.f64 (*.f64 eps (-.f64 eps x)) (*.f64 eps (-.f64 eps x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 eps (-.f64 eps x)) (-.f64 (*.f64 eps (-.f64 eps x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (fma.f64 x x (*.f64 eps (+.f64 x eps)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x eps) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x eps) (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps eps)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) #s(literal -1 binary64))) |
(+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) |
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 (neg.f64 eps)) (neg.f64 (cos.f64 x)))) |
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))) |
(+.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps))) |
(+.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) |
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) |
(-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(-.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) #s(literal 0 binary64)) (cos.f64 x)) |
(fma.f64 (cos.f64 (+.f64 x eps)) (/.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (*.f64 (-.f64 x eps) (fma.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)) (-.f64 eps x)) |
(/.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (*.f64 (-.f64 x eps) (fma.f64 x x (*.f64 eps eps)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (-.f64 x eps) (-.f64 x eps))) |
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 x eps))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 eps eps)) (-.f64 x eps))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x eps) (neg.f64 (-.f64 x eps)))) (neg.f64 (neg.f64 (-.f64 x eps)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 eps x))) (neg.f64 (-.f64 eps x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps))) (/.f64 (*.f64 x x) (-.f64 x eps))) (*.f64 (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))) (/.f64 (*.f64 eps eps) (-.f64 x eps)))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps)) (fma.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps))) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))) (fma.f64 x (/.f64 x (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (fma.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (fma.f64 x x (*.f64 eps eps))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 eps x) (*.f64 (+.f64 x eps) (-.f64 eps x))) #s(literal -1 binary64)) |
(*.f64 (+.f64 x eps) (*.f64 (-.f64 x eps) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) |
(*.f64 (+.f64 x eps) (/.f64 (-.f64 x eps) (-.f64 x eps))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) |
(*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (*.f64 (+.f64 x eps) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) |
(*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (/.f64 (+.f64 x eps) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) |
(*.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) |
(*.f64 (*.f64 (+.f64 x eps) (neg.f64 (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x eps)))) |
(*.f64 #s(literal 1 binary64) (+.f64 x eps)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x eps) (-.f64 x eps))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)) (/.f64 #s(literal 1 binary64) (-.f64 eps x))) |
(*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (+.f64 x eps)) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (fma.f64 (*.f64 eps (-.f64 eps x)) (*.f64 (*.f64 eps (-.f64 eps x)) (*.f64 eps (-.f64 eps x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 eps (-.f64 eps x)) (-.f64 (*.f64 eps (-.f64 eps x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (fma.f64 x x (*.f64 eps (+.f64 x eps)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x eps) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x eps) (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps eps)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)))) |
Compiled 1 372 to 90 computations (93.4% saved)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 145 | 11 | 156 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 145 | 12 | 157 |
| Status | Accuracy | Program |
|---|---|---|
| 54.2% | (-.f64 (fma.f64 (fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) (cos.f64 x)) | |
| 52.5% | (-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| ▶ | 52.5% | (-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
| 52.4% | (-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| ✓ | 54.0% | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 52.2% | (-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64)) | |
| ▶ | 52.5% | (-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) |
| ▶ | 52.2% | (+.f64 (cos.f64 eps) #s(literal -1 binary64)) |
| ▶ | 79.1% | (*.f64 (sin.f64 x) (neg.f64 eps)) |
| ▶ | 99.7% | (*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (sin.f64 (neg.f64 x)))) |
| 99.3% | (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) | |
| 98.8% | (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))) |
Compiled 343 to 232 computations (32.4% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 eps) |
| ✓ | cost-diff | 0 | (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (cos.f64 eps) |
| ✓ | cost-diff | 0 | (-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 x eps) |
| ✓ | cost-diff | 0 | (cos.f64 (+.f64 x eps)) |
| ✓ | cost-diff | 0 | (-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (neg.f64 eps) |
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sin.f64 x) (neg.f64 eps)) |
| ✓ | cost-diff | 0 | (cos.f64 eps) |
| ✓ | cost-diff | 0 | (+.f64 (cos.f64 eps) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) |
| ✓ | cost-diff | 0 | (*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (sin.f64 (neg.f64 x)))) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) |
| ✓ | cost-diff | 6208 | (fma.f64 eps (fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (sin.f64 (neg.f64 x))) |
| 12 544× | lower-fma.f32 |
| 12 534× | lower-fma.f64 |
| 3 542× | lower-*.f32 |
| 3 526× | lower-*.f64 |
| 1 910× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 194 |
| 0 | 64 | 194 |
| 1 | 133 | 194 |
| 2 | 304 | 194 |
| 3 | 714 | 194 |
| 4 | 1550 | 194 |
| 5 | 2933 | 194 |
| 6 | 5089 | 194 |
| 7 | 6243 | 194 |
| 8 | 7241 | 194 |
| 9 | 7822 | 194 |
| 0 | 8031 | 190 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (sin.f64 (neg.f64 x)))) |
eps |
(fma.f64 eps (fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (sin.f64 (neg.f64 x))) |
(fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) |
(cos.f64 x) |
x |
(+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) |
#s(literal -1/2 binary64) |
(*.f64 eps (*.f64 eps #s(literal 1/24 binary64))) |
(*.f64 eps #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) |
(*.f64 #s(literal 1/6 binary64) (sin.f64 x)) |
#s(literal 1/6 binary64) |
(sin.f64 x) |
(sin.f64 (neg.f64 x)) |
(neg.f64 x) |
(+.f64 (cos.f64 eps) #s(literal -1 binary64)) |
(cos.f64 eps) |
eps |
#s(literal -1 binary64) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(sin.f64 x) |
x |
(neg.f64 eps) |
eps |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(cos.f64 (+.f64 x eps)) |
(+.f64 x eps) |
x |
eps |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(*.f64 x #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) |
(cos.f64 eps) |
eps |
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) |
x |
(sin.f64 eps) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (sin.f64 (neg.f64 x)))) |
(*.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
eps |
(fma.f64 eps (fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (sin.f64 (neg.f64 x))) |
(fma.f64 eps (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) |
(fma.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) |
(cos.f64 x) |
x |
(+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) |
(fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 eps (*.f64 eps #s(literal 1/24 binary64))) |
(*.f64 eps #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) |
(*.f64 #s(literal 1/6 binary64) (sin.f64 x)) |
#s(literal 1/6 binary64) |
(sin.f64 x) |
(sin.f64 (neg.f64 x)) |
(neg.f64 x) |
(+.f64 (cos.f64 eps) #s(literal -1 binary64)) |
(cos.f64 eps) |
eps |
#s(literal -1 binary64) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(sin.f64 x) |
x |
(neg.f64 eps) |
eps |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(+.f64 (cos.f64 (+.f64 eps x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(cos.f64 (+.f64 x eps)) |
(cos.f64 (+.f64 eps x)) |
(+.f64 x eps) |
(+.f64 eps x) |
x |
eps |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(*.f64 x #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) |
(cos.f64 eps) |
eps |
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) |
x |
(sin.f64 eps) |
#s(literal 1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 eps) |
| ✓ | accuracy | 100.0% | (cos.f64 eps) |
| ✓ | accuracy | 100.0% | (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) |
| ✓ | accuracy | 54.6% | (-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
| ✓ | accuracy | 99.8% | (cos.f64 (+.f64 x eps)) |
| ✓ | accuracy | 99.4% | (*.f64 x #s(literal 1/24 binary64)) |
| ✓ | accuracy | 55.1% | (-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 100.0% | (neg.f64 eps) |
| ✓ | accuracy | 100.0% | (*.f64 (sin.f64 x) (neg.f64 eps)) |
| ✓ | accuracy | 100.0% | (cos.f64 eps) |
| ✓ | accuracy | 55.6% | (+.f64 (cos.f64 eps) #s(literal -1 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (sin.f64 (neg.f64 x)))) |
| ✓ | accuracy | 99.8% | (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) |
| ✓ | accuracy | 99.5% | (*.f64 eps #s(literal 1/24 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) |
| 669.0ms | 185× | 2 | valid |
| 75.0ms | 66× | 1 | valid |
| 2.0ms | 5× | 0 | valid |
Compiled 209 to 40 computations (80.9% saved)
ival-cos: 142.0ms (46.2% of total)adjust: 64.0ms (20.8% of total)const: 38.0ms (12.4% of total)ival-mult: 27.0ms (8.8% of total)ival-add: 19.0ms (6.2% of total)ival-sin: 10.0ms (3.3% of total)ival-sub: 5.0ms (1.6% of total)ival-neg: 2.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 #s(literal 1/6 binary64) (sin.f64 x))> |
#<alt (*.f64 eps #s(literal 1/24 binary64))> |
#<alt (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))> |
#<alt (*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (sin.f64 (neg.f64 x))))> |
#<alt (+.f64 (cos.f64 eps) #s(literal -1 binary64))> |
#<alt (cos.f64 eps)> |
#<alt (*.f64 (sin.f64 x) (neg.f64 eps))> |
#<alt (neg.f64 eps)> |
#<alt (sin.f64 x)> |
#<alt (-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))> |
#<alt (*.f64 x #s(literal 1/24 binary64))> |
#<alt (cos.f64 (+.f64 x eps))> |
#<alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))> |
#<alt (-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))> |
#<alt (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))> |
#<alt (sin.f64 eps)> |
| Outputs |
|---|
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* -1/36 (pow x 2))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/36))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/30240 (pow x 2)))) 1/36))))> |
#<alt (* 1/6 (sin x))> |
#<alt (* 1/6 (sin x))> |
#<alt (* 1/6 (sin x))> |
#<alt (* 1/6 (sin x))> |
#<alt (* 1/6 (sin x))> |
#<alt (* 1/6 (sin x))> |
#<alt (* 1/6 (sin x))> |
#<alt (* 1/6 (sin x))> |
#<alt (* 1/24 eps)> |
#<alt (* 1/24 eps)> |
#<alt (* 1/24 eps)> |
#<alt (* 1/24 eps)> |
#<alt (* 1/24 eps)> |
#<alt (* 1/24 eps)> |
#<alt (* 1/24 eps)> |
#<alt (* 1/24 eps)> |
#<alt (* 1/24 eps)> |
#<alt (* 1/24 eps)> |
#<alt (* 1/24 eps)> |
#<alt (* 1/24 eps)> |
#<alt (* 1/6 (* eps (sin x)))> |
#<alt (* 1/6 (* eps (sin x)))> |
#<alt (* 1/6 (* eps (sin x)))> |
#<alt (* 1/6 (* eps (sin x)))> |
#<alt (* 1/6 (* eps (sin x)))> |
#<alt (* 1/6 (* eps (sin x)))> |
#<alt (* 1/6 (* eps (sin x)))> |
#<alt (* 1/6 (* eps (sin x)))> |
#<alt (* 1/6 (* eps (sin x)))> |
#<alt (* 1/6 (* eps (sin x)))> |
#<alt (* 1/6 (* eps (sin x)))> |
#<alt (* 1/6 (* eps (sin x)))> |
#<alt (* 1/6 (* eps x))> |
#<alt (* x (+ (* -1/36 (* eps (pow x 2))) (* 1/6 eps)))> |
#<alt (* x (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/36 eps) (* 1/720 (* eps (pow x 2)))))))> |
#<alt (* x (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/36 eps) (* (pow x 2) (+ (* -1/30240 (* eps (pow x 2))) (* 1/720 eps)))))))> |
#<alt (* 1/6 (* eps (sin x)))> |
#<alt (* 1/6 (* eps (sin x)))> |
#<alt (* 1/6 (* eps (sin x)))> |
#<alt (* 1/6 (* eps (sin x)))> |
#<alt (* 1/6 (* eps (sin x)))> |
#<alt (* 1/6 (* eps (sin x)))> |
#<alt (* 1/6 (* eps (sin x)))> |
#<alt (* 1/6 (* eps (sin x)))> |
#<alt (* eps (sin (neg x)))> |
#<alt (* eps (+ (sin (neg x)) (* -1/2 (* eps (cos x)))))> |
#<alt (* eps (+ (sin (neg x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))> |
#<alt (* eps (+ (sin (neg x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))> |
#<alt (* 1/24 (* (pow eps 4) (cos x)))> |
#<alt (* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))> |
#<alt (* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))> |
#<alt (* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (+ (* 1/6 (/ (sin x) eps)) (/ (sin (neg x)) (pow eps 3))))))> |
#<alt (* 1/24 (* (pow eps 4) (cos x)))> |
#<alt (* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))> |
#<alt (* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))> |
#<alt (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (cos x)) (/ (sin (neg x)) eps)) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))> |
#<alt (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))> |
#<alt (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))> |
#<alt (+ (* x (+ (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/6 (pow eps 2)) 1)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))> |
#<alt (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))> |
#<alt (* eps (+ (sin (neg x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))))))> |
#<alt (* eps (+ (sin (neg x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))))))> |
#<alt (* eps (+ (sin (neg x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))))))> |
#<alt (* eps (+ (sin (neg x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))))))> |
#<alt (* eps (+ (sin (* -1 x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))))))> |
#<alt (* eps (+ (sin (* -1 x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))))))> |
#<alt (* eps (+ (sin (* -1 x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))))))> |
#<alt (* eps (+ (sin (* -1 x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))))))> |
#<alt (* -1/2 (pow eps 2))> |
#<alt (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))> |
#<alt (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))> |
#<alt (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))> |
#<alt (- (cos eps) 1)> |
#<alt (- (cos eps) 1)> |
#<alt (- (cos eps) 1)> |
#<alt (- (cos eps) 1)> |
#<alt (- (cos eps) 1)> |
#<alt (- (cos eps) 1)> |
#<alt (- (cos eps) 1)> |
#<alt (- (cos eps) 1)> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow eps 2)))> |
#<alt (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))> |
#<alt (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))> |
#<alt (cos eps)> |
#<alt (cos eps)> |
#<alt (cos eps)> |
#<alt (cos eps)> |
#<alt (cos eps)> |
#<alt (cos eps)> |
#<alt (cos eps)> |
#<alt (cos eps)> |
#<alt (* -1 (* eps x))> |
#<alt (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))> |
#<alt (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))> |
#<alt (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))> |
#<alt (* -1 (* eps (sin x)))> |
#<alt (* -1 (* eps (sin x)))> |
#<alt (* -1 (* eps (sin x)))> |
#<alt (* -1 (* eps (sin x)))> |
#<alt (* -1 (* eps (sin x)))> |
#<alt (* -1 (* eps (sin x)))> |
#<alt (* -1 (* eps (sin x)))> |
#<alt (* -1 (* eps (sin x)))> |
#<alt (* -1 (* eps (sin x)))> |
#<alt (* -1 (* eps (sin x)))> |
#<alt (* -1 (* eps (sin x)))> |
#<alt (* -1 (* eps (sin x)))> |
#<alt (* -1 (* eps (sin x)))> |
#<alt (* -1 (* eps (sin x)))> |
#<alt (* -1 (* eps (sin x)))> |
#<alt (* -1 (* eps (sin x)))> |
#<alt (* -1 (* eps (sin x)))> |
#<alt (* -1 (* eps (sin x)))> |
#<alt (* -1 (* eps (sin x)))> |
#<alt (* -1 (* eps (sin x)))> |
#<alt (* -1 eps)> |
#<alt (* -1 eps)> |
#<alt (* -1 eps)> |
#<alt (* -1 eps)> |
#<alt (* -1 eps)> |
#<alt (* -1 eps)> |
#<alt (* -1 eps)> |
#<alt (* -1 eps)> |
#<alt (* -1 eps)> |
#<alt (* -1 eps)> |
#<alt (* -1 eps)> |
#<alt (* -1 eps)> |
#<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 (- (cos eps) 1)> |
#<alt (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)> |
#<alt (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)> |
#<alt (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)> |
#<alt (* -1/24 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (cos (+ eps x)) (pow x 4))) (+ 1/24 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (cos (+ eps x)) (pow x 4))) (+ 1/24 (/ 1 (pow x 4)))))> |
#<alt (* -1/24 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (cos (- eps (* -1 x))) (pow x 4))) (+ 1/24 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (cos (- eps (* -1 x))) (pow x 4))) (+ 1/24 (/ 1 (pow x 4)))))> |
#<alt (- (cos x) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))> |
#<alt (- (+ (cos x) (* -1 (* eps (sin x)))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))> |
#<alt (- (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))> |
#<alt (- (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))> |
#<alt (- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))> |
#<alt (- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))> |
#<alt (- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))> |
#<alt (- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))> |
#<alt (- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))> |
#<alt (- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))> |
#<alt (- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))> |
#<alt (- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (cos eps)> |
#<alt (+ (cos eps) (* -1 (* x (sin eps))))> |
#<alt (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))> |
#<alt (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))> |
#<alt (cos (+ eps x))> |
#<alt (cos (+ eps x))> |
#<alt (cos (+ eps x))> |
#<alt (cos (+ eps x))> |
#<alt (cos (- eps (* -1 x)))> |
#<alt (cos (- eps (* -1 x)))> |
#<alt (cos (- eps (* -1 x)))> |
#<alt (cos (- eps (* -1 x)))> |
#<alt (cos x)> |
#<alt (+ (cos x) (* -1 (* eps (sin x))))> |
#<alt (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))> |
#<alt (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))> |
#<alt (cos (+ eps x))> |
#<alt (cos (+ eps x))> |
#<alt (cos (+ eps x))> |
#<alt (cos (+ eps x))> |
#<alt (cos (- x (* -1 eps)))> |
#<alt (cos (- x (* -1 eps)))> |
#<alt (cos (- x (* -1 eps)))> |
#<alt (cos (- x (* -1 eps)))> |
#<alt (* -1/2 x)> |
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))> |
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))> |
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))> |
#<alt (* -1 (* eps x))> |
#<alt (* eps (- (* -1/2 eps) x))> |
#<alt (* eps (- (* eps (- (* 1/6 (* eps x)) 1/2)) x))> |
#<alt (* eps (- (* eps (- (* eps (- (* 1/24 eps) (* -1/6 x))) 1/2)) x))> |
#<alt (- (cos eps) (+ 1 (* x (sin eps))))> |
#<alt (- (cos eps) (+ 1 (* x (sin eps))))> |
#<alt (- (cos eps) (+ 1 (* x (sin eps))))> |
#<alt (- (cos eps) (+ 1 (* x (sin eps))))> |
#<alt (- (cos eps) (+ 1 (* x (sin eps))))> |
#<alt (- (cos eps) (+ 1 (* x (sin eps))))> |
#<alt (- (cos eps) (+ 1 (* x (sin eps))))> |
#<alt (- (cos eps) (+ 1 (* x (sin eps))))> |
#<alt (- (cos eps) 1)> |
#<alt (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)> |
#<alt (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)> |
#<alt (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)> |
#<alt (* -1 (* x (sin eps)))> |
#<alt (* x (- (/ (cos eps) x) (+ (sin eps) (/ 1 x))))> |
#<alt (* x (- (/ (cos eps) x) (+ (sin eps) (/ 1 x))))> |
#<alt (* x (- (/ (cos eps) x) (+ (sin eps) (/ 1 x))))> |
#<alt (* -1 (* x (sin eps)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos eps) 1) x)) (* -1 (sin eps)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos eps) 1) x)) (* -1 (sin eps)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos eps) 1) x)) (* -1 (sin eps)))))> |
#<alt 1> |
#<alt (+ 1 (* x (sin eps)))> |
#<alt (+ 1 (* x (sin eps)))> |
#<alt (+ 1 (* x (sin eps)))> |
#<alt (* x (sin eps))> |
#<alt (* x (+ (sin eps) (/ 1 x)))> |
#<alt (* x (+ (sin eps) (/ 1 x)))> |
#<alt (* x (+ (sin eps) (/ 1 x)))> |
#<alt (* x (sin eps))> |
#<alt (* -1 (* x (- (* -1 (sin eps)) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 (sin eps)) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 (sin eps)) (/ 1 x))))> |
#<alt 1> |
#<alt (+ 1 (* eps x))> |
#<alt (+ 1 (* eps (+ x (* -1/6 (* (pow eps 2) x)))))> |
#<alt (+ 1 (* eps (+ x (* (pow eps 2) (+ (* -1/6 x) (* 1/120 (* (pow eps 2) x)))))))> |
#<alt (+ 1 (* x (sin eps)))> |
#<alt (+ 1 (* x (sin eps)))> |
#<alt (+ 1 (* x (sin eps)))> |
#<alt (+ 1 (* x (sin eps)))> |
#<alt (+ 1 (* x (sin eps)))> |
#<alt (+ 1 (* x (sin eps)))> |
#<alt (+ 1 (* x (sin eps)))> |
#<alt (+ 1 (* x (sin eps)))> |
#<alt eps> |
#<alt (* eps (+ 1 (* -1/6 (pow eps 2))))> |
#<alt (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))> |
#<alt (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))> |
#<alt (sin eps)> |
#<alt (sin eps)> |
#<alt (sin eps)> |
#<alt (sin eps)> |
#<alt (sin eps)> |
#<alt (sin eps)> |
#<alt (sin eps)> |
#<alt (sin eps)> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | x | @ | 0 | (* 1/6 (sin x)) |
| 3.0ms | x | @ | 0 | (* x (+ (* x (* x 1/24)) -1/2)) |
| 1.0ms | x | @ | -inf | (* eps (* 1/6 (sin x))) |
| 1.0ms | x | @ | inf | (* eps (+ (* eps (+ (* (cos x) (+ -1/2 (* eps (* eps 1/24)))) (* eps (* 1/6 (sin x))))) (sin (neg x)))) |
| 1.0ms | x | @ | -inf | (* eps (+ (* eps (+ (* (cos x) (+ -1/2 (* eps (* eps 1/24)))) (* eps (* 1/6 (sin x))))) (sin (neg x)))) |
| 1× | batch-egg-rewrite |
| 4 570× | lower-fma.f32 |
| 4 560× | lower-fma.f64 |
| 4 542× | lower-*.f32 |
| 4 526× | lower-*.f64 |
| 3 528× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 97 |
| 0 | 64 | 97 |
| 1 | 251 | 97 |
| 2 | 2011 | 97 |
| 0 | 8391 | 96 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/6 binary64) (sin.f64 x)) |
(*.f64 eps #s(literal 1/24 binary64)) |
(*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) |
(*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (sin.f64 (neg.f64 x)))) |
(+.f64 (cos.f64 eps) #s(literal -1 binary64)) |
(cos.f64 eps) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(neg.f64 eps) |
(sin.f64 x) |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 x #s(literal 1/24 binary64)) |
(cos.f64 (+.f64 x eps)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) |
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) |
(sin.f64 eps) |
| Outputs |
|---|
(*.f64 #s(literal 1/6 binary64) (sin.f64 x)) |
(*.f64 (sin.f64 x) #s(literal 1/6 binary64)) |
(*.f64 eps #s(literal 1/24 binary64)) |
(*.f64 #s(literal 1/24 binary64) eps) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps)) |
(*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) eps) |
(*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) eps) (sin.f64 x)) |
(+.f64 (neg.f64 (*.f64 (sin.f64 x) eps)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps))) |
(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) (neg.f64 (*.f64 (sin.f64 x) eps))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) (neg.f64 (*.f64 (sin.f64 x) eps)))) (/.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 x) eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) (neg.f64 (*.f64 (sin.f64 x) eps))))) |
(fma.f64 (sin.f64 x) (neg.f64 eps) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps))) |
(fma.f64 eps (sin.f64 (neg.f64 x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps))) |
(fma.f64 eps (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) (neg.f64 (*.f64 (sin.f64 x) eps))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps) (neg.f64 (*.f64 (sin.f64 x) eps))) |
(fma.f64 (sin.f64 (neg.f64 x)) eps (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps))) |
(fma.f64 (neg.f64 eps) (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps))) |
(fma.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) eps (neg.f64 (*.f64 (sin.f64 x) eps))) |
(fma.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (neg.f64 (*.f64 (sin.f64 x) eps))) |
(fma.f64 (*.f64 (sin.f64 x) #s(literal -1 binary64)) eps (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 x) eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) (neg.f64 (*.f64 (sin.f64 x) eps)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (*.f64 (sin.f64 x) eps)) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) (neg.f64 (*.f64 (sin.f64 x) eps)))) |
(/.f64 (*.f64 eps (+.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))))) (fma.f64 (sin.f64 (neg.f64 x)) (-.f64 (sin.f64 (neg.f64 x)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))) (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 eps (-.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) (sin.f64 (neg.f64 x)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) eps) (fma.f64 (sin.f64 (neg.f64 x)) (-.f64 (sin.f64 (neg.f64 x)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))) (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) eps) (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) (sin.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 x) eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) (neg.f64 (*.f64 (sin.f64 x) eps))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (*.f64 (sin.f64 x) eps)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) (neg.f64 (*.f64 (sin.f64 x) eps))))) |
(/.f64 (neg.f64 (*.f64 eps (+.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))) (neg.f64 (fma.f64 (sin.f64 (neg.f64 x)) (-.f64 (sin.f64 (neg.f64 x)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))) (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 eps (-.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (neg.f64 (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) (sin.f64 (neg.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) eps)) (neg.f64 (fma.f64 (sin.f64 (neg.f64 x)) (-.f64 (sin.f64 (neg.f64 x)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))) (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) eps)) (neg.f64 (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) (sin.f64 (neg.f64 x))))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 x) eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (sin.f64 x) eps)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)))))) |
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (sin.f64 (neg.f64 x)))) |
(*.f64 (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (sin.f64 (neg.f64 x))) eps) |
(+.f64 (cos.f64 eps) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (cos.f64 eps)) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 (neg.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) (cos.f64 eps))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) #s(literal -1 binary64))))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (-.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))))) |
(*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps))) |
(+.f64 (*.f64 x (sin.f64 eps)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (fma.f64 x (sin.f64 eps) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)))) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps))))) |
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (sin.f64 eps) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)) #s(literal 1 binary64)) |
(fma.f64 (sin.f64 eps) x #s(literal 1 binary64)) |
(fma.f64 (sin.f64 eps) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (sin.f64 eps)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) #s(literal -1 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (*.f64 x (sin.f64 eps))))) |
(/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) #s(literal -1 binary64)) (fma.f64 x (sin.f64 eps) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (*.f64 x (sin.f64 eps)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (fma.f64 x (sin.f64 eps) #s(literal -1 binary64))) (*.f64 (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (sin.f64 eps) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)))))) |
(*.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)))) |
(sin.f64 eps) |
| 1× | egg-herbie |
| 12 908× | lower-fma.f64 |
| 12 908× | lower-fma.f32 |
| 5 794× | lower-*.f64 |
| 5 794× | lower-*.f32 |
| 4 786× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 343 | 2435 |
| 1 | 1020 | 2379 |
| 2 | 2772 | 2346 |
| 3 | 7232 | 2346 |
| 0 | 8427 | 2178 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 x) |
(* x (+ 1/6 (* -1/36 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/36)))) |
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/30240 (pow x 2)))) 1/36)))) |
(* 1/6 (sin x)) |
(* 1/6 (sin x)) |
(* 1/6 (sin x)) |
(* 1/6 (sin x)) |
(* 1/6 (sin x)) |
(* 1/6 (sin x)) |
(* 1/6 (sin x)) |
(* 1/6 (sin x)) |
(* 1/24 eps) |
(* 1/24 eps) |
(* 1/24 eps) |
(* 1/24 eps) |
(* 1/24 eps) |
(* 1/24 eps) |
(* 1/24 eps) |
(* 1/24 eps) |
(* 1/24 eps) |
(* 1/24 eps) |
(* 1/24 eps) |
(* 1/24 eps) |
(* 1/6 (* eps (sin x))) |
(* 1/6 (* eps (sin x))) |
(* 1/6 (* eps (sin x))) |
(* 1/6 (* eps (sin x))) |
(* 1/6 (* eps (sin x))) |
(* 1/6 (* eps (sin x))) |
(* 1/6 (* eps (sin x))) |
(* 1/6 (* eps (sin x))) |
(* 1/6 (* eps (sin x))) |
(* 1/6 (* eps (sin x))) |
(* 1/6 (* eps (sin x))) |
(* 1/6 (* eps (sin x))) |
(* 1/6 (* eps x)) |
(* x (+ (* -1/36 (* eps (pow x 2))) (* 1/6 eps))) |
(* x (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/36 eps) (* 1/720 (* eps (pow x 2))))))) |
(* x (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/36 eps) (* (pow x 2) (+ (* -1/30240 (* eps (pow x 2))) (* 1/720 eps))))))) |
(* 1/6 (* eps (sin x))) |
(* 1/6 (* eps (sin x))) |
(* 1/6 (* eps (sin x))) |
(* 1/6 (* eps (sin x))) |
(* 1/6 (* eps (sin x))) |
(* 1/6 (* eps (sin x))) |
(* 1/6 (* eps (sin x))) |
(* 1/6 (* eps (sin x))) |
(* eps (sin (neg x))) |
(* eps (+ (sin (neg x)) (* -1/2 (* eps (cos x))))) |
(* eps (+ (sin (neg x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))) |
(* eps (+ (sin (neg x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))))) |
(* 1/24 (* (pow eps 4) (cos x))) |
(* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))) |
(* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))) |
(* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (+ (* 1/6 (/ (sin x) eps)) (/ (sin (neg x)) (pow eps 3)))))) |
(* 1/24 (* (pow eps 4) (cos x))) |
(* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x)))) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (cos x)) (/ (sin (neg x)) eps)) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x)))) |
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) |
(+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) |
(+ (* x (+ (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/6 (pow eps 2)) 1)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) |
(+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) |
(* eps (+ (sin (neg x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))))) |
(* eps (+ (sin (neg x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))))) |
(* eps (+ (sin (neg x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))))) |
(* eps (+ (sin (neg x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))))) |
(* eps (+ (sin (* -1 x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))))) |
(* eps (+ (sin (* -1 x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))))) |
(* eps (+ (sin (* -1 x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))))) |
(* eps (+ (sin (* -1 x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))))) |
(* -1/2 (pow eps 2)) |
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) |
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)) |
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2)) |
(- (cos eps) 1) |
(- (cos eps) 1) |
(- (cos eps) 1) |
(- (cos eps) 1) |
(- (cos eps) 1) |
(- (cos eps) 1) |
(- (cos eps) 1) |
(- (cos eps) 1) |
1 |
(+ 1 (* -1/2 (pow eps 2))) |
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) |
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))) |
(cos eps) |
(cos eps) |
(cos eps) |
(cos eps) |
(cos eps) |
(cos eps) |
(cos eps) |
(cos eps) |
(* -1 (* eps x)) |
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2))))) |
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))))) |
(* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2))))))))) |
(* -1 (* eps (sin x))) |
(* -1 (* eps (sin x))) |
(* -1 (* eps (sin x))) |
(* -1 (* eps (sin x))) |
(* -1 (* eps (sin x))) |
(* -1 (* eps (sin x))) |
(* -1 (* eps (sin x))) |
(* -1 (* eps (sin x))) |
(* -1 (* eps (sin x))) |
(* -1 (* eps (sin x))) |
(* -1 (* eps (sin x))) |
(* -1 (* eps (sin x))) |
(* -1 (* eps (sin x))) |
(* -1 (* eps (sin x))) |
(* -1 (* eps (sin x))) |
(* -1 (* eps (sin x))) |
(* -1 (* eps (sin x))) |
(* -1 (* eps (sin x))) |
(* -1 (* eps (sin x))) |
(* -1 (* eps (sin x))) |
(* -1 eps) |
(* -1 eps) |
(* -1 eps) |
(* -1 eps) |
(* -1 eps) |
(* -1 eps) |
(* -1 eps) |
(* -1 eps) |
(* -1 eps) |
(* -1 eps) |
(* -1 eps) |
(* -1 eps) |
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) |
(- (cos eps) 1) |
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1) |
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1) |
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1) |
(* -1/24 (pow x 4)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (cos (+ eps x)) (pow x 4))) (+ 1/24 (/ 1 (pow x 4))))) |
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (cos (+ eps x)) (pow x 4))) (+ 1/24 (/ 1 (pow x 4))))) |
(* -1/24 (pow x 4)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (cos (- eps (* -1 x))) (pow x 4))) (+ 1/24 (/ 1 (pow x 4))))) |
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (cos (- eps (* -1 x))) (pow x 4))) (+ 1/24 (/ 1 (pow x 4))))) |
(- (cos x) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(- (+ (cos x) (* -1 (* eps (sin x)))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(- (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(- (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(cos eps) |
(+ (cos eps) (* -1 (* x (sin eps)))) |
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps)))) |
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps)))) |
(cos (+ eps x)) |
(cos (+ eps x)) |
(cos (+ eps x)) |
(cos (+ eps x)) |
(cos (- eps (* -1 x))) |
(cos (- eps (* -1 x))) |
(cos (- eps (* -1 x))) |
(cos (- eps (* -1 x))) |
(cos x) |
(+ (cos x) (* -1 (* eps (sin x)))) |
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) |
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) |
(cos (+ eps x)) |
(cos (+ eps x)) |
(cos (+ eps x)) |
(cos (+ eps x)) |
(cos (- x (* -1 eps))) |
(cos (- x (* -1 eps))) |
(cos (- x (* -1 eps))) |
(cos (- x (* -1 eps))) |
(* -1/2 x) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))) |
(* -1 (* eps x)) |
(* eps (- (* -1/2 eps) x)) |
(* eps (- (* eps (- (* 1/6 (* eps x)) 1/2)) x)) |
(* eps (- (* eps (- (* eps (- (* 1/24 eps) (* -1/6 x))) 1/2)) x)) |
(- (cos eps) (+ 1 (* x (sin eps)))) |
(- (cos eps) (+ 1 (* x (sin eps)))) |
(- (cos eps) (+ 1 (* x (sin eps)))) |
(- (cos eps) (+ 1 (* x (sin eps)))) |
(- (cos eps) (+ 1 (* x (sin eps)))) |
(- (cos eps) (+ 1 (* x (sin eps)))) |
(- (cos eps) (+ 1 (* x (sin eps)))) |
(- (cos eps) (+ 1 (* x (sin eps)))) |
(- (cos eps) 1) |
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1) |
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1) |
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1) |
(* -1 (* x (sin eps))) |
(* x (- (/ (cos eps) x) (+ (sin eps) (/ 1 x)))) |
(* x (- (/ (cos eps) x) (+ (sin eps) (/ 1 x)))) |
(* x (- (/ (cos eps) x) (+ (sin eps) (/ 1 x)))) |
(* -1 (* x (sin eps))) |
(* -1 (* x (- (* -1 (/ (- (cos eps) 1) x)) (* -1 (sin eps))))) |
(* -1 (* x (- (* -1 (/ (- (cos eps) 1) x)) (* -1 (sin eps))))) |
(* -1 (* x (- (* -1 (/ (- (cos eps) 1) x)) (* -1 (sin eps))))) |
1 |
(+ 1 (* x (sin eps))) |
(+ 1 (* x (sin eps))) |
(+ 1 (* x (sin eps))) |
(* x (sin eps)) |
(* x (+ (sin eps) (/ 1 x))) |
(* x (+ (sin eps) (/ 1 x))) |
(* x (+ (sin eps) (/ 1 x))) |
(* x (sin eps)) |
(* -1 (* x (- (* -1 (sin eps)) (/ 1 x)))) |
(* -1 (* x (- (* -1 (sin eps)) (/ 1 x)))) |
(* -1 (* x (- (* -1 (sin eps)) (/ 1 x)))) |
1 |
(+ 1 (* eps x)) |
(+ 1 (* eps (+ x (* -1/6 (* (pow eps 2) x))))) |
(+ 1 (* eps (+ x (* (pow eps 2) (+ (* -1/6 x) (* 1/120 (* (pow eps 2) x))))))) |
(+ 1 (* x (sin eps))) |
(+ 1 (* x (sin eps))) |
(+ 1 (* x (sin eps))) |
(+ 1 (* x (sin eps))) |
(+ 1 (* x (sin eps))) |
(+ 1 (* x (sin eps))) |
(+ 1 (* x (sin eps))) |
(+ 1 (* x (sin eps))) |
eps |
(* eps (+ 1 (* -1/6 (pow eps 2)))) |
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) |
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
| Outputs |
|---|
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* -1/36 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/36)))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/36 binary64))) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/30240 (pow x 2)))) 1/36)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/720 binary64)) #s(literal -1/36 binary64)) #s(literal 1/6 binary64))) |
(* 1/6 (sin x)) |
(*.f64 #s(literal 1/6 binary64) (sin.f64 x)) |
(* 1/6 (sin x)) |
(*.f64 #s(literal 1/6 binary64) (sin.f64 x)) |
(* 1/6 (sin x)) |
(*.f64 #s(literal 1/6 binary64) (sin.f64 x)) |
(* 1/6 (sin x)) |
(*.f64 #s(literal 1/6 binary64) (sin.f64 x)) |
(* 1/6 (sin x)) |
(*.f64 #s(literal 1/6 binary64) (sin.f64 x)) |
(* 1/6 (sin x)) |
(*.f64 #s(literal 1/6 binary64) (sin.f64 x)) |
(* 1/6 (sin x)) |
(*.f64 #s(literal 1/6 binary64) (sin.f64 x)) |
(* 1/6 (sin x)) |
(*.f64 #s(literal 1/6 binary64) (sin.f64 x)) |
(* 1/24 eps) |
(*.f64 #s(literal 1/24 binary64) eps) |
(* 1/24 eps) |
(*.f64 #s(literal 1/24 binary64) eps) |
(* 1/24 eps) |
(*.f64 #s(literal 1/24 binary64) eps) |
(* 1/24 eps) |
(*.f64 #s(literal 1/24 binary64) eps) |
(* 1/24 eps) |
(*.f64 #s(literal 1/24 binary64) eps) |
(* 1/24 eps) |
(*.f64 #s(literal 1/24 binary64) eps) |
(* 1/24 eps) |
(*.f64 #s(literal 1/24 binary64) eps) |
(* 1/24 eps) |
(*.f64 #s(literal 1/24 binary64) eps) |
(* 1/24 eps) |
(*.f64 #s(literal 1/24 binary64) eps) |
(* 1/24 eps) |
(*.f64 #s(literal 1/24 binary64) eps) |
(* 1/24 eps) |
(*.f64 #s(literal 1/24 binary64) eps) |
(* 1/24 eps) |
(*.f64 #s(literal 1/24 binary64) eps) |
(* 1/6 (* eps (sin x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps)) |
(* 1/6 (* eps (sin x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps)) |
(* 1/6 (* eps (sin x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps)) |
(* 1/6 (* eps (sin x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps)) |
(* 1/6 (* eps (sin x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps)) |
(* 1/6 (* eps (sin x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps)) |
(* 1/6 (* eps (sin x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps)) |
(* 1/6 (* eps (sin x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps)) |
(* 1/6 (* eps (sin x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps)) |
(* 1/6 (* eps (sin x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps)) |
(* 1/6 (* eps (sin x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps)) |
(* 1/6 (* eps (sin x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps)) |
(* 1/6 (* eps x)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x eps)) |
(* x (+ (* -1/36 (* eps (pow x 2))) (* 1/6 eps))) |
(*.f64 x (*.f64 eps (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 1/6 binary64)))) |
(* x (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/36 eps) (* 1/720 (* eps (pow x 2))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/36 binary64))) (*.f64 #s(literal 1/6 binary64) eps))) |
(* x (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/36 eps) (* (pow x 2) (+ (* -1/30240 (* eps (pow x 2))) (* 1/720 eps))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 eps (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/720 binary64)))) (*.f64 #s(literal -1/36 binary64) eps)) (*.f64 #s(literal 1/6 binary64) eps))) |
(* 1/6 (* eps (sin x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps)) |
(* 1/6 (* eps (sin x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps)) |
(* 1/6 (* eps (sin x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps)) |
(* 1/6 (* eps (sin x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps)) |
(* 1/6 (* eps (sin x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps)) |
(* 1/6 (* eps (sin x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps)) |
(* 1/6 (* eps (sin x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps)) |
(* 1/6 (* eps (sin x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps)) |
(* eps (sin (neg x))) |
(neg.f64 (*.f64 (sin.f64 x) eps)) |
(* eps (+ (sin (neg x)) (* -1/2 (* eps (cos x))))) |
(*.f64 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))) |
(* eps (+ (sin (neg x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) |
(* eps (+ (sin (neg x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
(* 1/24 (* (pow eps 4) (cos x))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
(* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal 1/24 binary64) (cos.f64 x)))) |
(* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))) (/.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) eps))) |
(* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (+ (* 1/6 (/ (sin x) eps)) (/ (sin (neg x)) (pow eps 3)))))) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))) (/.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) eps)) (/.f64 (sin.f64 x) (*.f64 eps (*.f64 eps eps))))) |
(* 1/24 (* (pow eps 4) (cos x))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
(* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal 1/24 binary64) (cos.f64 x)))) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x)))) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) (/.f64 (fma.f64 (sin.f64 x) #s(literal -1/6 binary64) (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) eps)) eps))) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (cos x)) (/ (sin (neg x)) eps)) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x)))) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps) (*.f64 (sin.f64 x) #s(literal -1/6 binary64))) eps))) |
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) |
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))))) |
(+ (* x (+ (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/6 (pow eps 2)) 1)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) |
(fma.f64 x (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) |
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x eps) (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/4 binary64)))) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(* eps (+ (sin (neg x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
(* eps (+ (sin (neg x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
(* eps (+ (sin (neg x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
(* eps (+ (sin (neg x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
(* eps (+ (sin (* -1 x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
(* eps (+ (sin (* -1 x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
(* eps (+ (sin (* -1 x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
(* eps (+ (sin (* -1 x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
(* -1/2 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) |
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)) |
(*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2)) |
(*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
(- (cos eps) 1) |
(+.f64 #s(literal -1 binary64) (cos.f64 eps)) |
(- (cos eps) 1) |
(+.f64 #s(literal -1 binary64) (cos.f64 eps)) |
(- (cos eps) 1) |
(+.f64 #s(literal -1 binary64) (cos.f64 eps)) |
(- (cos eps) 1) |
(+.f64 #s(literal -1 binary64) (cos.f64 eps)) |
(- (cos eps) 1) |
(+.f64 #s(literal -1 binary64) (cos.f64 eps)) |
(- (cos eps) 1) |
(+.f64 #s(literal -1 binary64) (cos.f64 eps)) |
(- (cos eps) 1) |
(+.f64 #s(literal -1 binary64) (cos.f64 eps)) |
(- (cos eps) 1) |
(+.f64 #s(literal -1 binary64) (cos.f64 eps)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow eps 2))) |
(fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) |
(fma.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))) |
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos eps) |
(cos.f64 eps) |
(cos eps) |
(cos.f64 eps) |
(cos eps) |
(cos.f64 eps) |
(cos eps) |
(cos.f64 eps) |
(cos eps) |
(cos.f64 eps) |
(cos eps) |
(cos.f64 eps) |
(cos eps) |
(cos.f64 eps) |
(cos eps) |
(cos.f64 eps) |
(* -1 (* eps x)) |
(*.f64 x (neg.f64 eps)) |
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2))))) |
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 eps (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 eps))) |
(* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2))))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x eps)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 #s(literal 1/6 binary64) eps)) (neg.f64 eps))) |
(* -1 (* eps (sin x))) |
(neg.f64 (*.f64 (sin.f64 x) eps)) |
(* -1 (* eps (sin x))) |
(neg.f64 (*.f64 (sin.f64 x) eps)) |
(* -1 (* eps (sin x))) |
(neg.f64 (*.f64 (sin.f64 x) eps)) |
(* -1 (* eps (sin x))) |
(neg.f64 (*.f64 (sin.f64 x) eps)) |
(* -1 (* eps (sin x))) |
(neg.f64 (*.f64 (sin.f64 x) eps)) |
(* -1 (* eps (sin x))) |
(neg.f64 (*.f64 (sin.f64 x) eps)) |
(* -1 (* eps (sin x))) |
(neg.f64 (*.f64 (sin.f64 x) eps)) |
(* -1 (* eps (sin x))) |
(neg.f64 (*.f64 (sin.f64 x) eps)) |
(* -1 (* eps (sin x))) |
(neg.f64 (*.f64 (sin.f64 x) eps)) |
(* -1 (* eps (sin x))) |
(neg.f64 (*.f64 (sin.f64 x) eps)) |
(* -1 (* eps (sin x))) |
(neg.f64 (*.f64 (sin.f64 x) eps)) |
(* -1 (* eps (sin x))) |
(neg.f64 (*.f64 (sin.f64 x) eps)) |
(* -1 (* eps (sin x))) |
(neg.f64 (*.f64 (sin.f64 x) eps)) |
(* -1 (* eps (sin x))) |
(neg.f64 (*.f64 (sin.f64 x) eps)) |
(* -1 (* eps (sin x))) |
(neg.f64 (*.f64 (sin.f64 x) eps)) |
(* -1 (* eps (sin x))) |
(neg.f64 (*.f64 (sin.f64 x) eps)) |
(* -1 (* eps (sin x))) |
(neg.f64 (*.f64 (sin.f64 x) eps)) |
(* -1 (* eps (sin x))) |
(neg.f64 (*.f64 (sin.f64 x) eps)) |
(* -1 (* eps (sin x))) |
(neg.f64 (*.f64 (sin.f64 x) eps)) |
(* -1 (* eps (sin x))) |
(neg.f64 (*.f64 (sin.f64 x) eps)) |
(* -1 eps) |
(neg.f64 eps) |
(* -1 eps) |
(neg.f64 eps) |
(* -1 eps) |
(neg.f64 eps) |
(* -1 eps) |
(neg.f64 eps) |
(* -1 eps) |
(neg.f64 eps) |
(* -1 eps) |
(neg.f64 eps) |
(* -1 eps) |
(neg.f64 eps) |
(* -1 eps) |
(neg.f64 eps) |
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(neg.f64 eps) |
(* -1 eps) |
(neg.f64 eps) |
(* -1 eps) |
(neg.f64 eps) |
(* -1 eps) |
(neg.f64 eps) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(- (cos eps) 1) |
(+.f64 #s(literal -1 binary64) (cos.f64 eps)) |
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1) |
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) |
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1) |
(fma.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) (sin.f64 eps)) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) |
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)) (*.f64 (sin.f64 eps) (fma.f64 x (*.f64 #s(literal 1/6 binary64) x) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) |
(* -1/24 (pow x 4)) |
(*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (cos (+ eps x)) (pow x 4))) (+ 1/24 (/ 1 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (cos.f64 (+.f64 x eps)) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))) |
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (cos (+ eps x)) (pow x 4))) (+ 1/24 (/ 1 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (cos.f64 (+.f64 x eps)) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))) |
(* -1/24 (pow x 4)) |
(*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (cos (- eps (* -1 x))) (pow x 4))) (+ 1/24 (/ 1 (pow x 4))))) |
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(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (cos (- eps (* -1 x))) (pow x 4))) (+ 1/24 (/ 1 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (cos.f64 (+.f64 x eps)) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))) |
(- (cos x) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(-.f64 (cos.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(- (+ (cos x) (* -1 (* eps (sin x)))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(-.f64 (cos.f64 x) (fma.f64 (sin.f64 x) eps (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(- (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(-.f64 (fma.f64 (sin.f64 x) (neg.f64 eps) (fma.f64 (fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 x) #s(literal -1 binary64))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) |
(- (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(fma.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (-.f64 (cos.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(cos eps) |
(cos.f64 eps) |
(+ (cos eps) (* -1 (* x (sin eps)))) |
(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) |
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps)))) |
(fma.f64 x (-.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))) (sin.f64 eps)) (cos.f64 eps)) |
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps)))) |
(fma.f64 x (fma.f64 (sin.f64 eps) (fma.f64 x (*.f64 #s(literal 1/6 binary64) x) #s(literal -1 binary64)) (*.f64 x (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (cos.f64 eps)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 x eps)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 x eps)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 x eps)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 x eps)) |
(cos (- eps (* -1 x))) |
(cos.f64 (+.f64 x eps)) |
(cos (- eps (* -1 x))) |
(cos.f64 (+.f64 x eps)) |
(cos (- eps (* -1 x))) |
(cos.f64 (+.f64 x eps)) |
(cos (- eps (* -1 x))) |
(cos.f64 (+.f64 x eps)) |
(cos x) |
(cos.f64 x) |
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(-.f64 (cos.f64 x) (*.f64 (sin.f64 x) eps)) |
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) |
(fma.f64 (fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) eps))) |
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) |
(fma.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (cos.f64 x)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 x eps)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 x eps)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 x eps)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 x eps)) |
(cos (- x (* -1 eps))) |
(cos.f64 (+.f64 x eps)) |
(cos (- x (* -1 eps))) |
(cos.f64 (+.f64 x eps)) |
(cos (- x (* -1 eps))) |
(cos.f64 (+.f64 x eps)) |
(cos (- x (* -1 eps))) |
(cos.f64 (+.f64 x eps)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
(* -1 (* eps x)) |
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(* eps (- (* -1/2 eps) x)) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
(* eps (- (* eps (- (* 1/6 (* eps x)) 1/2)) x)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x)) |
(* eps (- (* eps (- (* eps (- (* 1/24 eps) (* -1/6 x))) 1/2)) x)) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) #s(literal -1/2 binary64)) (neg.f64 x))) |
(- (cos eps) (+ 1 (* x (sin eps)))) |
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) |
(- (cos eps) (+ 1 (* x (sin eps)))) |
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) |
(- (cos eps) (+ 1 (* x (sin eps)))) |
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) |
(- (cos eps) (+ 1 (* x (sin eps)))) |
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) |
(- (cos eps) (+ 1 (* x (sin eps)))) |
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) |
(- (cos eps) (+ 1 (* x (sin eps)))) |
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) |
(- (cos eps) (+ 1 (* x (sin eps)))) |
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) |
(- (cos eps) (+ 1 (* x (sin eps)))) |
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) |
(- (cos eps) 1) |
(+.f64 #s(literal -1 binary64) (cos.f64 eps)) |
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1) |
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) |
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1) |
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) |
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1) |
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) |
(* -1 (* x (sin eps))) |
(neg.f64 (*.f64 x (sin.f64 eps))) |
(* x (- (/ (cos eps) x) (+ (sin eps) (/ 1 x)))) |
(fma.f64 x (-.f64 (/.f64 (cos.f64 eps) x) (sin.f64 eps)) #s(literal -1 binary64)) |
(* x (- (/ (cos eps) x) (+ (sin eps) (/ 1 x)))) |
(fma.f64 x (-.f64 (/.f64 (cos.f64 eps) x) (sin.f64 eps)) #s(literal -1 binary64)) |
(* x (- (/ (cos eps) x) (+ (sin eps) (/ 1 x)))) |
(fma.f64 x (-.f64 (/.f64 (cos.f64 eps) x) (sin.f64 eps)) #s(literal -1 binary64)) |
(* -1 (* x (sin eps))) |
(neg.f64 (*.f64 x (sin.f64 eps))) |
(* -1 (* x (- (* -1 (/ (- (cos eps) 1) x)) (* -1 (sin eps))))) |
(fma.f64 x (-.f64 (/.f64 (cos.f64 eps) x) (sin.f64 eps)) #s(literal -1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (cos eps) 1) x)) (* -1 (sin eps))))) |
(fma.f64 x (-.f64 (/.f64 (cos.f64 eps) x) (sin.f64 eps)) #s(literal -1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (cos eps) 1) x)) (* -1 (sin eps))))) |
(fma.f64 x (-.f64 (/.f64 (cos.f64 eps) x) (sin.f64 eps)) #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (sin eps))) |
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) |
(+ 1 (* x (sin eps))) |
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) |
(+ 1 (* x (sin eps))) |
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) |
(* x (sin eps)) |
(*.f64 x (sin.f64 eps)) |
(* x (+ (sin eps) (/ 1 x))) |
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) |
(* x (+ (sin eps) (/ 1 x))) |
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) |
(* x (+ (sin eps) (/ 1 x))) |
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) |
(* x (sin eps)) |
(*.f64 x (sin.f64 eps)) |
(* -1 (* x (- (* -1 (sin eps)) (/ 1 x)))) |
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (sin eps)) (/ 1 x)))) |
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (sin eps)) (/ 1 x)))) |
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* eps x)) |
(fma.f64 x eps #s(literal 1 binary64)) |
(+ 1 (* eps (+ x (* -1/6 (* (pow eps 2) x))))) |
(fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64)) eps) #s(literal 1 binary64)) |
(+ 1 (* eps (+ x (* (pow eps 2) (+ (* -1/6 x) (* 1/120 (* (pow eps 2) x))))))) |
(fma.f64 eps (fma.f64 (*.f64 x (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) #s(literal 1 binary64)) |
(+ 1 (* x (sin eps))) |
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) |
(+ 1 (* x (sin eps))) |
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) |
(+ 1 (* x (sin eps))) |
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) |
(+ 1 (* x (sin eps))) |
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) |
(+ 1 (* x (sin eps))) |
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) |
(+ 1 (* x (sin eps))) |
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) |
(+ 1 (* x (sin eps))) |
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) |
(+ 1 (* x (sin eps))) |
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) |
eps |
(* eps (+ 1 (* -1/6 (pow eps 2)))) |
(fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64)) eps) |
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) |
(fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) eps) |
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
| 1× | egg-herbie |
| 2× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 789 | 11441 |
| 1 | 790 | 11441 |
| 0 | 790 | 11441 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(*.f64 #s(literal 1/6 binary64) (sin.f64 x)) |
(*.f64 (sin.f64 x) #s(literal 1/6 binary64)) |
(*.f64 eps #s(literal 1/24 binary64)) |
(*.f64 #s(literal 1/24 binary64) eps) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps)) |
(*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) eps) |
(*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) eps) (sin.f64 x)) |
(+.f64 (neg.f64 (*.f64 (sin.f64 x) eps)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps))) |
(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) (neg.f64 (*.f64 (sin.f64 x) eps))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) (neg.f64 (*.f64 (sin.f64 x) eps)))) (/.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 x) eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) (neg.f64 (*.f64 (sin.f64 x) eps))))) |
(fma.f64 (sin.f64 x) (neg.f64 eps) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps))) |
(fma.f64 eps (sin.f64 (neg.f64 x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps))) |
(fma.f64 eps (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) (neg.f64 (*.f64 (sin.f64 x) eps))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps) (neg.f64 (*.f64 (sin.f64 x) eps))) |
(fma.f64 (sin.f64 (neg.f64 x)) eps (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps))) |
(fma.f64 (neg.f64 eps) (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps))) |
(fma.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) eps (neg.f64 (*.f64 (sin.f64 x) eps))) |
(fma.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (neg.f64 (*.f64 (sin.f64 x) eps))) |
(fma.f64 (*.f64 (sin.f64 x) #s(literal -1 binary64)) eps (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 x) eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) (neg.f64 (*.f64 (sin.f64 x) eps)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (*.f64 (sin.f64 x) eps)) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) (neg.f64 (*.f64 (sin.f64 x) eps)))) |
(/.f64 (*.f64 eps (+.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))))) (fma.f64 (sin.f64 (neg.f64 x)) (-.f64 (sin.f64 (neg.f64 x)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))) (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 eps (-.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) (sin.f64 (neg.f64 x)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) eps) (fma.f64 (sin.f64 (neg.f64 x)) (-.f64 (sin.f64 (neg.f64 x)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))) (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) eps) (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) (sin.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 x) eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) (neg.f64 (*.f64 (sin.f64 x) eps))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (*.f64 (sin.f64 x) eps)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) (neg.f64 (*.f64 (sin.f64 x) eps))))) |
(/.f64 (neg.f64 (*.f64 eps (+.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))) (neg.f64 (fma.f64 (sin.f64 (neg.f64 x)) (-.f64 (sin.f64 (neg.f64 x)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))) (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 eps (-.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (neg.f64 (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) (sin.f64 (neg.f64 x))))) |
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(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) (fma.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))) (*.f64 (fma.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (fma.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))) (*.f64 (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 (neg.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) (cos.f64 eps))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) #s(literal -1 binary64))))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (-.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))))) |
(*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps))) |
(+.f64 (*.f64 x (sin.f64 eps)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (fma.f64 x (sin.f64 eps) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)))) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps))))) |
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (sin.f64 eps) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)) #s(literal 1 binary64)) |
(fma.f64 (sin.f64 eps) x #s(literal 1 binary64)) |
(fma.f64 (sin.f64 eps) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (sin.f64 eps)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) #s(literal -1 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (*.f64 x (sin.f64 eps))))) |
(/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) #s(literal -1 binary64)) (fma.f64 x (sin.f64 eps) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (*.f64 x (sin.f64 eps)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (fma.f64 x (sin.f64 eps) #s(literal -1 binary64))) (*.f64 (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (sin.f64 eps) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)))))) |
(*.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)))) |
(sin.f64 eps) |
| Outputs |
|---|
(*.f64 #s(literal 1/6 binary64) (sin.f64 x)) |
(*.f64 (sin.f64 x) #s(literal 1/6 binary64)) |
(*.f64 eps #s(literal 1/24 binary64)) |
(*.f64 #s(literal 1/24 binary64) eps) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps)) |
(*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) eps) |
(*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) eps) (sin.f64 x)) |
(+.f64 (neg.f64 (*.f64 (sin.f64 x) eps)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps))) |
(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) (neg.f64 (*.f64 (sin.f64 x) eps))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) (neg.f64 (*.f64 (sin.f64 x) eps)))) (/.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 x) eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) (neg.f64 (*.f64 (sin.f64 x) eps))))) |
(fma.f64 (sin.f64 x) (neg.f64 eps) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps))) |
(fma.f64 eps (sin.f64 (neg.f64 x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps))) |
(fma.f64 eps (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) (neg.f64 (*.f64 (sin.f64 x) eps))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps) (neg.f64 (*.f64 (sin.f64 x) eps))) |
(fma.f64 (sin.f64 (neg.f64 x)) eps (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps))) |
(fma.f64 (neg.f64 eps) (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps))) |
(fma.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) eps (neg.f64 (*.f64 (sin.f64 x) eps))) |
(fma.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (neg.f64 (*.f64 (sin.f64 x) eps))) |
(fma.f64 (*.f64 (sin.f64 x) #s(literal -1 binary64)) eps (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps))) |
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(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 (cos.f64 eps) (neg.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))))) (/.f64 (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (cos.f64 eps) (neg.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) #s(literal 2 binary64)) (+.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) #s(literal 1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) (cos.f64 eps)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (-.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (-.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (cos.f64 eps) (neg.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (cos.f64 eps) (neg.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (cos.f64 eps) (neg.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 eps) (neg.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) (fma.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))) (*.f64 (fma.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (fma.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))) (*.f64 (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 (neg.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) (cos.f64 eps))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) #s(literal -1 binary64))))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (-.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))))) |
(*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps))) |
(+.f64 (*.f64 x (sin.f64 eps)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (fma.f64 x (sin.f64 eps) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)))) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps))))) |
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (sin.f64 eps) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)) #s(literal 1 binary64)) |
(fma.f64 (sin.f64 eps) x #s(literal 1 binary64)) |
(fma.f64 (sin.f64 eps) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (sin.f64 eps)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) #s(literal -1 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (*.f64 x (sin.f64 eps))))) |
(/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) #s(literal -1 binary64)) (fma.f64 x (sin.f64 eps) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (*.f64 x (sin.f64 eps)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (fma.f64 x (sin.f64 eps) #s(literal -1 binary64))) (*.f64 (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (sin.f64 eps) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)))))) |
(*.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)))) |
(sin.f64 eps) |
Compiled 8 730 to 331 computations (96.2% saved)
23 alts after pruning (20 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 576 | 18 | 594 |
| Fresh | 4 | 2 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 583 | 23 | 606 |
| Status | Accuracy | Program |
|---|---|---|
| 97.1% | (fma.f64 x (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) | |
| 97.4% | (fma.f64 x (fma.f64 x (fma.f64 (*.f64 x eps) (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/4 binary64)))) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) | |
| 52.5% | (-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| ✓ | 54.0% | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| ▶ | 52.2% | (-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64)) |
| ▶ | 52.0% | (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
| 78.1% | (*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps)) | |
| ▶ | 78.0% | (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps)) |
| 78.0% | (*.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (neg.f64 eps)) | |
| 22.9% | (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps) (*.f64 (sin.f64 x) #s(literal -1/6 binary64))) eps))) | |
| 22.0% | (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))) (/.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) eps)) (/.f64 (sin.f64 x) (*.f64 eps (*.f64 eps eps))))) | |
| ✓ | 79.1% | (*.f64 (sin.f64 x) (neg.f64 eps)) |
| ▶ | 78.0% | (*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
| 78.0% | (*.f64 x (neg.f64 eps)) | |
| ▶ | 99.7% | (*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
| 99.3% | (*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) | |
| ✓ | 99.7% | (*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (sin.f64 (neg.f64 x)))) |
| 98.7% | (*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) x))) (sin.f64 (neg.f64 x)))) | |
| 96.8% | (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) #s(literal -1/2 binary64)) (neg.f64 x))) | |
| 96.8% | (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x)) | |
| 98.8% | (*.f64 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))) | |
| 96.8% | (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) | |
| 53.2% | (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) |
Compiled 809 to 472 computations (41.7% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 x eps) |
| ✓ | cost-diff | 0 | (cos.f64 (+.f64 x eps)) |
| ✓ | cost-diff | 0 | (-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
| ✓ | cost-diff | 128 | (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
| ✓ | cost-diff | 192 | (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
| 15 318× | lower-fma.f32 |
| 15 306× | lower-fma.f64 |
| 3 714× | lower-*.f32 |
| 3 696× | lower-*.f64 |
| 2 558× | lower-+.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 186 |
| 0 | 60 | 180 |
| 1 | 126 | 180 |
| 2 | 313 | 180 |
| 3 | 823 | 180 |
| 4 | 1985 | 179 |
| 5 | 3461 | 179 |
| 6 | 6945 | 179 |
| 0 | 8023 | 179 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
eps |
(fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))) |
(sin.f64 x) |
x |
(fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 eps eps) |
#s(literal -1 binary64) |
(*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(cos.f64 x) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
x |
(*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))) |
eps |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) |
(*.f64 x x) |
#s(literal 1/6 binary64) |
#s(literal -1 binary64) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 x (*.f64 x x)) |
(neg.f64 eps) |
eps |
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64)) |
(cos.f64 (+.f64 x eps)) |
(+.f64 x eps) |
x |
eps |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (cos.f64 x) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))) |
eps |
(fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))) |
(fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (cos.f64 x) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) |
(sin.f64 x) |
x |
(fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) |
(fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 eps eps) |
#s(literal -1 binary64) |
(*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 (cos.f64 x) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(*.f64 (cos.f64 x) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) |
(cos.f64 x) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
#s(literal 0 binary64) |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 eps (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
x |
(*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))) |
(*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
eps |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(*.f64 x x) |
#s(literal 1/6 binary64) |
#s(literal -1 binary64) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps)) |
(*.f64 (*.f64 eps x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 x (*.f64 x x)) |
(neg.f64 eps) |
eps |
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64)) |
(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x))) |
(cos.f64 (+.f64 x eps)) |
(cos.f64 (+.f64 eps x)) |
(+.f64 x eps) |
(+.f64 eps x) |
x |
eps |
#s(literal 1 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x eps) |
| ✓ | accuracy | 99.8% | (cos.f64 (+.f64 x eps)) |
| ✓ | accuracy | 99.7% | (-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (neg.f64 eps) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps)) |
| ✓ | accuracy | 100.0% | (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 100.0% | (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
| ✓ | accuracy | 100.0% | (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))) |
| ✓ | accuracy | 100.0% | (*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
| 101.0ms | 247× | 1 | exit |
| 3.0ms | 9× | 0 | valid |
Compiled 208 to 39 computations (81.3% saved)
ival-mult: 34.0ms (41.2% of total)adjust: 16.0ms (19.4% of total)const: 12.0ms (14.5% of total)ival-add: 8.0ms (9.7% of total)ival-cos: 6.0ms (7.3% of total)ival-sin: 3.0ms (3.6% of total)ival-sub: 1.0ms (1.2% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))))> |
#<alt (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))> |
#<alt (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))> |
#<alt (cos.f64 x)> |
#<alt (+.f64 #s(literal 1 binary64) #s(literal -1 binary64))> |
#<alt (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))> |
#<alt (*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))))> |
#<alt (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)))> |
#<alt (*.f64 x x)> |
#<alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)> |
#<alt (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps))> |
#<alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))> |
#<alt (neg.f64 eps)> |
#<alt (-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))> |
#<alt (cos.f64 (+.f64 x eps))> |
#<alt (+.f64 x eps)> |
| Outputs |
|---|
#<alt (* -1 (* eps (sin x)))> |
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))> |
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))> |
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))> |
#<alt (* 1/24 (* (pow eps 4) (cos x)))> |
#<alt (* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))> |
#<alt (* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))> |
#<alt (* (pow eps 4) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))> |
#<alt (* 1/24 (* (pow eps 4) (cos x)))> |
#<alt (* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))> |
#<alt (* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))> |
#<alt (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))> |
#<alt (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))> |
#<alt (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))> |
#<alt (+ (* x (+ (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/6 (pow eps 2)) 1)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))> |
#<alt (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (* -1/6 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))> |
#<alt (* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))> |
#<alt (* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))> |
#<alt (* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))> |
#<alt (* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))> |
#<alt (* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))> |
#<alt (* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))> |
#<alt (* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))> |
#<alt (* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))> |
#<alt (* eps (- (* 1/24 (pow eps 2)) 1/2))> |
#<alt (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))> |
#<alt (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* -1/2 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/6 (pow eps 2))) 1)))> |
#<alt (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* -1/6 (* x (- (* 1/6 (pow eps 2)) 1)))))) 1)))> |
#<alt (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))> |
#<alt (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))> |
#<alt (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))> |
#<alt (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))> |
#<alt (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))> |
#<alt (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))> |
#<alt (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))> |
#<alt (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))> |
#<alt (* -1 (sin x))> |
#<alt (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))> |
#<alt (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))> |
#<alt (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))))> |
#<alt (* 1/24 (* (pow eps 3) (cos x)))> |
#<alt (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))> |
#<alt (* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))> |
#<alt (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))> |
#<alt (* 1/24 (* (pow eps 3) (cos x)))> |
#<alt (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))> |
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))> |
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))> |
#<alt (* -1/2 (* eps (cos x)))> |
#<alt (* eps (+ (* -1/2 (cos x)) (* 1/24 (* (pow eps 2) (cos x)))))> |
#<alt (* eps (+ (* -1/2 (cos x)) (* 1/24 (* (pow eps 2) (cos x)))))> |
#<alt (* eps (+ (* -1/2 (cos x)) (* 1/24 (* (pow eps 2) (cos x)))))> |
#<alt (* 1/24 (* (pow eps 3) (cos x)))> |
#<alt (* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (* 1/24 (cos x))))> |
#<alt (* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (* 1/24 (cos x))))> |
#<alt (* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (* 1/24 (cos x))))> |
#<alt (* 1/24 (* (pow eps 3) (cos x)))> |
#<alt (* -1 (* (pow eps 3) (+ (* -1/24 (cos x)) (* 1/2 (/ (cos x) (pow eps 2))))))> |
#<alt (* -1 (* (pow eps 3) (+ (* -1/24 (cos x)) (* 1/2 (/ (cos x) (pow eps 2))))))> |
#<alt (* -1 (* (pow eps 3) (+ (* -1/24 (cos x)) (* 1/2 (/ (cos x) (pow eps 2))))))> |
#<alt (* eps (- (* 1/24 (pow eps 2)) 1/2))> |
#<alt (+ (* -1/2 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))> |
#<alt (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* (pow x 2) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/24 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))))))> |
#<alt (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* (pow x 2) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* (pow x 2) (+ (* -1/720 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))))> |
#<alt (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))> |
#<alt (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))> |
#<alt (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))> |
#<alt (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))> |
#<alt (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))> |
#<alt (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))> |
#<alt (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))> |
#<alt (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))> |
#<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> |
#<alt (- (* 1/6 (pow x 2)) 1)> |
#<alt (- (* 1/6 (pow x 2)) 1)> |
#<alt (- (* 1/6 (pow x 2)) 1)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))> |
#<alt (* -1 (* eps x))> |
#<alt (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))> |
#<alt (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))> |
#<alt (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))> |
#<alt (* 1/6 (* eps (pow x 3)))> |
#<alt (* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))> |
#<alt (* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))> |
#<alt (* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))> |
#<alt (* 1/6 (* eps (pow x 3)))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/6 eps) (/ eps (pow x 2)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/6 eps) (/ eps (pow x 2)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/6 eps) (/ eps (pow x 2)))))> |
#<alt (* eps (* x (- (* 1/6 (pow x 2)) 1)))> |
#<alt (* eps (* x (- (* 1/6 (pow x 2)) 1)))> |
#<alt (* eps (* x (- (* 1/6 (pow x 2)) 1)))> |
#<alt (* eps (* x (- (* 1/6 (pow x 2)) 1)))> |
#<alt (* eps (* x (- (* 1/6 (pow x 2)) 1)))> |
#<alt (* eps (* x (- (* 1/6 (pow x 2)) 1)))> |
#<alt (* eps (* x (- (* 1/6 (pow x 2)) 1)))> |
#<alt (* eps (* x (- (* 1/6 (pow x 2)) 1)))> |
#<alt (* eps (* x (- (* 1/6 (pow x 2)) 1)))> |
#<alt (* eps (* x (- (* 1/6 (pow x 2)) 1)))> |
#<alt (* eps (* x (- (* 1/6 (pow x 2)) 1)))> |
#<alt (* eps (* x (- (* 1/6 (pow x 2)) 1)))> |
#<alt (* eps (- (* 1/6 (pow x 2)) 1))> |
#<alt (* eps (- (* 1/6 (pow x 2)) 1))> |
#<alt (* eps (- (* 1/6 (pow x 2)) 1))> |
#<alt (* eps (- (* 1/6 (pow x 2)) 1))> |
#<alt (* eps (- (* 1/6 (pow x 2)) 1))> |
#<alt (* eps (- (* 1/6 (pow x 2)) 1))> |
#<alt (* eps (- (* 1/6 (pow x 2)) 1))> |
#<alt (* eps (- (* 1/6 (pow x 2)) 1))> |
#<alt (* eps (- (* 1/6 (pow x 2)) 1))> |
#<alt (* eps (- (* 1/6 (pow x 2)) 1))> |
#<alt (* eps (- (* 1/6 (pow x 2)) 1))> |
#<alt (* eps (- (* 1/6 (pow x 2)) 1))> |
#<alt (* -1 eps)> |
#<alt (+ (* -1 eps) (* 1/6 (* eps (pow x 2))))> |
#<alt (+ (* -1 eps) (* 1/6 (* eps (pow x 2))))> |
#<alt (+ (* -1 eps) (* 1/6 (* eps (pow x 2))))> |
#<alt (* 1/6 (* eps (pow x 2)))> |
#<alt (* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))> |
#<alt (* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))> |
#<alt (* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))> |
#<alt (* 1/6 (* eps (pow x 2)))> |
#<alt (* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))> |
#<alt (* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))> |
#<alt (* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))> |
#<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 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) (- (* 1/120 (pow x 2)) 1/6))))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))> |
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))> |
#<alt (* -1 (* eps x))> |
#<alt (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))> |
#<alt (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))> |
#<alt (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))> |
#<alt (* -1/120 (* eps (pow x 5)))> |
#<alt (* (pow x 5) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))> |
#<alt (* (pow x 5) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))> |
#<alt (* (pow x 5) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))> |
#<alt (* -1/120 (* eps (pow x 5)))> |
#<alt (* -1 (* (pow x 5) (+ (* -1/6 (/ eps (pow x 2))) (* 1/120 eps))))> |
#<alt (* -1 (* (pow x 5) (+ (* -1/6 (/ eps (pow x 2))) (+ (* 1/120 eps) (/ eps (pow x 4))))))> |
#<alt (* -1 (* (pow x 5) (+ (* -1/6 (/ eps (pow x 2))) (+ (* 1/120 eps) (/ eps (pow x 4))))))> |
#<alt (* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))> |
#<alt (* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))> |
#<alt (* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))> |
#<alt (* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))> |
#<alt (* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))> |
#<alt (* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))> |
#<alt (* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))> |
#<alt (* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))> |
#<alt (* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))> |
#<alt (* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))> |
#<alt (* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))> |
#<alt (* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))> |
#<alt -1/6> |
#<alt (- (* 1/120 (pow x 2)) 1/6)> |
#<alt (- (* 1/120 (pow x 2)) 1/6)> |
#<alt (- (* 1/120 (pow x 2)) 1/6)> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1 eps)> |
#<alt (* -1 eps)> |
#<alt (* -1 eps)> |
#<alt (* -1 eps)> |
#<alt (* -1 eps)> |
#<alt (* -1 eps)> |
#<alt (* -1 eps)> |
#<alt (* -1 eps)> |
#<alt (* -1 eps)> |
#<alt (* -1 eps)> |
#<alt (* -1 eps)> |
#<alt (* -1 eps)> |
#<alt (- (cos eps) 1)> |
#<alt (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)> |
#<alt (- (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps)))) 1)> |
#<alt (- (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps)))) 1)> |
#<alt (- (cos (+ eps x)) 1)> |
#<alt (- (cos (+ eps x)) 1)> |
#<alt (- (cos (+ eps x)) 1)> |
#<alt (- (cos (+ eps x)) 1)> |
#<alt (- (cos (- eps (* -1 x))) 1)> |
#<alt (- (cos (- eps (* -1 x))) 1)> |
#<alt (- (cos (- eps (* -1 x))) 1)> |
#<alt (- (cos (- eps (* -1 x))) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (+ (cos x) (* -1 (* eps (sin x)))) 1)> |
#<alt (- (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) 1)> |
#<alt (- (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) 1)> |
#<alt (- (cos (+ eps x)) 1)> |
#<alt (- (cos (+ eps x)) 1)> |
#<alt (- (cos (+ eps x)) 1)> |
#<alt (- (cos (+ eps x)) 1)> |
#<alt (- (cos (- x (* -1 eps))) 1)> |
#<alt (- (cos (- x (* -1 eps))) 1)> |
#<alt (- (cos (- x (* -1 eps))) 1)> |
#<alt (- (cos (- x (* -1 eps))) 1)> |
#<alt (cos eps)> |
#<alt (+ (cos eps) (* -1 (* x (sin eps))))> |
#<alt (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))> |
#<alt (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))> |
#<alt (cos (+ eps x))> |
#<alt (cos (+ eps x))> |
#<alt (cos (+ eps x))> |
#<alt (cos (+ eps x))> |
#<alt (cos (- eps (* -1 x)))> |
#<alt (cos (- eps (* -1 x)))> |
#<alt (cos (- eps (* -1 x)))> |
#<alt (cos (- eps (* -1 x)))> |
#<alt (cos x)> |
#<alt (+ (cos x) (* -1 (* eps (sin x))))> |
#<alt (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))> |
#<alt (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))> |
#<alt (cos (+ eps x))> |
#<alt (cos (+ eps x))> |
#<alt (cos (+ eps x))> |
#<alt (cos (+ eps x))> |
#<alt (cos (- x (* -1 eps)))> |
#<alt (cos (- x (* -1 eps)))> |
#<alt (cos (- x (* -1 eps)))> |
#<alt (cos (- x (* -1 eps)))> |
#<alt eps> |
#<alt (+ eps x)> |
#<alt (+ eps x)> |
#<alt (+ eps x)> |
#<alt x> |
#<alt (* x (+ 1 (/ eps x)))> |
#<alt (* x (+ 1 (/ eps x)))> |
#<alt (* x (+ 1 (/ eps x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))> |
#<alt x> |
#<alt (+ eps x)> |
#<alt (+ eps x)> |
#<alt (+ eps x)> |
#<alt eps> |
#<alt (* eps (+ 1 (/ x eps)))> |
#<alt (* eps (+ 1 (/ x eps)))> |
#<alt (* eps (+ 1 (/ x eps)))> |
#<alt eps> |
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))> |
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))> |
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))> |
72 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | eps | @ | inf | (* eps (* (cos x) (+ (* 1/24 (* eps eps)) -1/2))) |
| 1.0ms | eps | @ | 0 | (* (+ (* (+ (* (* x x) 1/120) -1/6) (* x (* x x))) x) (neg eps)) |
| 1.0ms | x | @ | inf | (* eps (+ (* (sin x) (+ (* 1/6 (* eps eps)) -1)) (* eps (* (cos x) (+ (* 1/24 (* eps eps)) -1/2))))) |
| 1.0ms | eps | @ | 0 | (* x (* eps (+ (* (* x x) 1/6) -1))) |
| 1.0ms | x | @ | -inf | (* eps (+ (* (sin x) (+ (* 1/6 (* eps eps)) -1)) (* eps (* (cos x) (+ (* 1/24 (* eps eps)) -1/2))))) |
| 1× | batch-egg-rewrite |
| 5 758× | lower-*.f32 |
| 5 740× | lower-*.f64 |
| 4 074× | lower-/.f64 |
| 4 074× | lower-/.f32 |
| 3 656× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 133 |
| 0 | 60 | 129 |
| 1 | 226 | 129 |
| 2 | 1646 | 129 |
| 0 | 8116 | 129 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
(fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))) |
(*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(cos.f64 x) |
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) |
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))) |
(*.f64 x x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps)) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(neg.f64 eps) |
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64)) |
(cos.f64 (+.f64 x eps)) |
(+.f64 x eps) |
| Outputs |
|---|
(+.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) (/.f64 (pow.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))) |
(fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps))) |
(fma.f64 eps (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) |
(fma.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (sin.f64 x) eps) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 eps eps) (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps))) |
(fma.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) eps (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps))) |
(fma.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) eps (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 eps (cos.f64 x)) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) eps) (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps))) |
(fma.f64 (*.f64 eps (sin.f64 x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (sin.f64 x) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 eps (+.f64 (pow.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) (-.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))))))) |
(/.f64 (*.f64 eps (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (neg.f64 (pow.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) #s(literal 2 binary64))))) (-.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) #s(literal 3 binary64))) eps) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) (-.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))))))) |
(/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (neg.f64 (pow.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) #s(literal 2 binary64)))) eps) (-.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 eps (+.f64 (pow.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) (-.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 eps (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (neg.f64 (pow.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) #s(literal 2 binary64)))))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) #s(literal 3 binary64))) eps)) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) (-.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (neg.f64 (pow.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) #s(literal 2 binary64)))) eps)) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))))) |
(*.f64 (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x)))) eps) |
(+.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x)))) |
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(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x)))))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 (+.f64 eps 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 #s(literal 2 binary64) (+.f64 eps x))))) (*.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))))) |
(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) #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 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))) (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 x x) (-.f64 x eps))) (cos.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)))) (*.f64 (sin.f64 (/.f64 (*.f64 x x) (-.f64 x eps))) (sin.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps))))) |
(cos.f64 (+.f64 eps x)) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (cos.f64 (-.f64 x eps))) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (cos.f64 (-.f64 x eps)))) |
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) |
(fma.f64 (cos.f64 (/.f64 (*.f64 x x) (-.f64 x eps))) (cos.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps))) (*.f64 (sin.f64 (/.f64 (*.f64 x x) (-.f64 x eps))) (sin.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64))) (cos.f64 (-.f64 x eps))) |
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x))))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)))) (neg.f64 (cos.f64 (-.f64 x eps)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))))) |
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) |
(*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)) |
(+.f64 eps x) |
(+.f64 x eps) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))) |
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps x)) (/.f64 (*.f64 x x) (-.f64 eps x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x eps) (*.f64 (+.f64 eps x) (-.f64 x eps))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x eps) (*.f64 (+.f64 eps x) (-.f64 x eps)))) |
(/.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) |
(/.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x)))) |
(/.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x eps)) |
(/.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 x eps))) (neg.f64 (-.f64 x eps))) |
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (-.f64 eps x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (-.f64 x eps) (-.f64 x eps))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))))) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) (fma.f64 (*.f64 eps eps) (*.f64 eps eps) (*.f64 (*.f64 x x) (*.f64 eps eps)))) (-.f64 x eps))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 eps eps)) (-.f64 x eps))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)))) (neg.f64 (neg.f64 (-.f64 x eps)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 x x))) (neg.f64 (-.f64 eps x))) |
(pow.f64 (/.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x eps) (*.f64 (+.f64 eps x) (-.f64 x eps))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))) |
(*.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) |
| 1× | egg-herbie |
| 14 398× | lower-fma.f64 |
| 14 398× | lower-fma.f32 |
| 6 616× | lower-*.f64 |
| 6 616× | lower-*.f32 |
| 4 310× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 320 | 3280 |
| 1 | 980 | 3176 |
| 2 | 3109 | 3061 |
| 0 | 8092 | 2858 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* eps (sin x))) |
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))) |
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))) |
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))))) |
(* 1/24 (* (pow eps 4) (cos x))) |
(* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))) |
(* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))) |
(* (pow eps 4) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))) |
(* 1/24 (* (pow eps 4) (cos x))) |
(* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x)))) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x)))) |
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) |
(+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) |
(+ (* x (+ (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/6 (pow eps 2)) 1)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) |
(+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (* -1/6 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) |
(* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(* eps (- (* 1/24 (pow eps 2)) 1/2)) |
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1))) |
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* -1/2 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/6 (pow eps 2))) 1))) |
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* -1/6 (* x (- (* 1/6 (pow eps 2)) 1)))))) 1))) |
(+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))) |
(+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))) |
(+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))) |
(+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))) |
(+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))) |
(+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))) |
(+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))) |
(+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))) |
(* -1 (sin x)) |
(+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))) |
(+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))) |
(+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))) |
(* 1/24 (* (pow eps 3) (cos x))) |
(* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))) |
(* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))) |
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))) |
(* 1/24 (* (pow eps 3) (cos x))) |
(* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x))))) |
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x))))) |
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x))))) |
(* -1/2 (* eps (cos x))) |
(* eps (+ (* -1/2 (cos x)) (* 1/24 (* (pow eps 2) (cos x))))) |
(* eps (+ (* -1/2 (cos x)) (* 1/24 (* (pow eps 2) (cos x))))) |
(* eps (+ (* -1/2 (cos x)) (* 1/24 (* (pow eps 2) (cos x))))) |
(* 1/24 (* (pow eps 3) (cos x))) |
(* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (* 1/24 (cos x)))) |
(* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (* 1/24 (cos x)))) |
(* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (* 1/24 (cos x)))) |
(* 1/24 (* (pow eps 3) (cos x))) |
(* -1 (* (pow eps 3) (+ (* -1/24 (cos x)) (* 1/2 (/ (cos x) (pow eps 2)))))) |
(* -1 (* (pow eps 3) (+ (* -1/24 (cos x)) (* 1/2 (/ (cos x) (pow eps 2)))))) |
(* -1 (* (pow eps 3) (+ (* -1/24 (cos x)) (* 1/2 (/ (cos x) (pow eps 2)))))) |
(* eps (- (* 1/24 (pow eps 2)) 1/2)) |
(+ (* -1/2 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/24 (pow eps 2)) 1/2))) |
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* (pow x 2) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/24 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))))) |
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* (pow x 2) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* (pow x 2) (+ (* -1/720 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2)))))))) |
(* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) |
(* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) |
(* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) |
(* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) |
(* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) |
(* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) |
(* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) |
(* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
-1 |
(- (* 1/6 (pow x 2)) 1) |
(- (* 1/6 (pow x 2)) 1) |
(- (* 1/6 (pow x 2)) 1) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1/6 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1/6 (/ 1 (pow x 2)))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1/6 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1/6 (/ 1 (pow x 2)))) |
(* -1 (* eps x)) |
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2))))) |
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2))))) |
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2))))) |
(* 1/6 (* eps (pow x 3))) |
(* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps))) |
(* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps))) |
(* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps))) |
(* 1/6 (* eps (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -1/6 eps) (/ eps (pow x 2))))) |
(* -1 (* (pow x 3) (+ (* -1/6 eps) (/ eps (pow x 2))))) |
(* -1 (* (pow x 3) (+ (* -1/6 eps) (/ eps (pow x 2))))) |
(* eps (* x (- (* 1/6 (pow x 2)) 1))) |
(* eps (* x (- (* 1/6 (pow x 2)) 1))) |
(* eps (* x (- (* 1/6 (pow x 2)) 1))) |
(* eps (* x (- (* 1/6 (pow x 2)) 1))) |
(* eps (* x (- (* 1/6 (pow x 2)) 1))) |
(* eps (* x (- (* 1/6 (pow x 2)) 1))) |
(* eps (* x (- (* 1/6 (pow x 2)) 1))) |
(* eps (* x (- (* 1/6 (pow x 2)) 1))) |
(* eps (* x (- (* 1/6 (pow x 2)) 1))) |
(* eps (* x (- (* 1/6 (pow x 2)) 1))) |
(* eps (* x (- (* 1/6 (pow x 2)) 1))) |
(* eps (* x (- (* 1/6 (pow x 2)) 1))) |
(* eps (- (* 1/6 (pow x 2)) 1)) |
(* eps (- (* 1/6 (pow x 2)) 1)) |
(* eps (- (* 1/6 (pow x 2)) 1)) |
(* eps (- (* 1/6 (pow x 2)) 1)) |
(* eps (- (* 1/6 (pow x 2)) 1)) |
(* eps (- (* 1/6 (pow x 2)) 1)) |
(* eps (- (* 1/6 (pow x 2)) 1)) |
(* eps (- (* 1/6 (pow x 2)) 1)) |
(* eps (- (* 1/6 (pow x 2)) 1)) |
(* eps (- (* 1/6 (pow x 2)) 1)) |
(* eps (- (* 1/6 (pow x 2)) 1)) |
(* eps (- (* 1/6 (pow x 2)) 1)) |
(* -1 eps) |
(+ (* -1 eps) (* 1/6 (* eps (pow x 2)))) |
(+ (* -1 eps) (* 1/6 (* eps (pow x 2)))) |
(+ (* -1 eps) (* 1/6 (* eps (pow x 2)))) |
(* 1/6 (* eps (pow x 2))) |
(* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps))) |
(* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps))) |
(* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps))) |
(* 1/6 (* eps (pow x 2))) |
(* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps))) |
(* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps))) |
(* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps))) |
(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) |
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) (- (* 1/120 (pow x 2)) 1/6)))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4)))))) |
(* -1 (* eps x)) |
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2))))) |
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))))) |
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))))) |
(* -1/120 (* eps (pow x 5))) |
(* (pow x 5) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))) |
(* (pow x 5) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))) |
(* (pow x 5) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))) |
(* -1/120 (* eps (pow x 5))) |
(* -1 (* (pow x 5) (+ (* -1/6 (/ eps (pow x 2))) (* 1/120 eps)))) |
(* -1 (* (pow x 5) (+ (* -1/6 (/ eps (pow x 2))) (+ (* 1/120 eps) (/ eps (pow x 4)))))) |
(* -1 (* (pow x 5) (+ (* -1/6 (/ eps (pow x 2))) (+ (* 1/120 eps) (/ eps (pow x 4)))))) |
(* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))))) |
(* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))))) |
(* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))))) |
(* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))))) |
(* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))))) |
(* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))))) |
(* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))))) |
(* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))))) |
(* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))))) |
(* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))))) |
(* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))))) |
(* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))))) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* 1/120 (pow x 2)) 1/6) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* -1 eps) |
(* -1 eps) |
(* -1 eps) |
(* -1 eps) |
(* -1 eps) |
(* -1 eps) |
(* -1 eps) |
(* -1 eps) |
(* -1 eps) |
(* -1 eps) |
(* -1 eps) |
(* -1 eps) |
(- (cos eps) 1) |
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1) |
(- (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps)))) 1) |
(- (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps)))) 1) |
(- (cos (+ eps x)) 1) |
(- (cos (+ eps x)) 1) |
(- (cos (+ eps x)) 1) |
(- (cos (+ eps x)) 1) |
(- (cos (- eps (* -1 x))) 1) |
(- (cos (- eps (* -1 x))) 1) |
(- (cos (- eps (* -1 x))) 1) |
(- (cos (- eps (* -1 x))) 1) |
(- (cos x) 1) |
(- (+ (cos x) (* -1 (* eps (sin x)))) 1) |
(- (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) 1) |
(- (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) 1) |
(- (cos (+ eps x)) 1) |
(- (cos (+ eps x)) 1) |
(- (cos (+ eps x)) 1) |
(- (cos (+ eps x)) 1) |
(- (cos (- x (* -1 eps))) 1) |
(- (cos (- x (* -1 eps))) 1) |
(- (cos (- x (* -1 eps))) 1) |
(- (cos (- x (* -1 eps))) 1) |
(cos eps) |
(+ (cos eps) (* -1 (* x (sin eps)))) |
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps)))) |
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps)))) |
(cos (+ eps x)) |
(cos (+ eps x)) |
(cos (+ eps x)) |
(cos (+ eps x)) |
(cos (- eps (* -1 x))) |
(cos (- eps (* -1 x))) |
(cos (- eps (* -1 x))) |
(cos (- eps (* -1 x))) |
(cos x) |
(+ (cos x) (* -1 (* eps (sin x)))) |
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) |
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) |
(cos (+ eps x)) |
(cos (+ eps x)) |
(cos (+ eps x)) |
(cos (+ eps x)) |
(cos (- x (* -1 eps))) |
(cos (- x (* -1 eps))) |
(cos (- x (* -1 eps))) |
(cos (- x (* -1 eps))) |
eps |
(+ eps x) |
(+ eps x) |
(+ eps x) |
x |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
x |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
x |
(+ eps x) |
(+ eps x) |
(+ eps x) |
eps |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
eps |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
| Outputs |
|---|
(* -1 (* eps (sin x))) |
(neg.f64 (*.f64 eps (sin.f64 x))) |
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))) |
(*.f64 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))) |
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))) |
(*.f64 eps (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))))) |
(*.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(* 1/24 (* (pow eps 4) (cos x))) |
(*.f64 (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 4 binary64)))) |
(* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (sin.f64 x) (/.f64 #s(literal 1/6 binary64) eps) (*.f64 (cos.f64 x) #s(literal 1/24 binary64)))) |
(* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (sin.f64 x) (/.f64 #s(literal 1/6 binary64) eps) (*.f64 (cos.f64 x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))))) |
(* (pow eps 4) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))) (*.f64 (/.f64 (sin.f64 x) eps) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps)))))) |
(* 1/24 (* (pow eps 4) (cos x))) |
(*.f64 (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 4 binary64)))) |
(* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (sin.f64 x) (/.f64 #s(literal 1/6 binary64) eps) (*.f64 (cos.f64 x) #s(literal 1/24 binary64)))) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x)))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) eps) (*.f64 (sin.f64 x) #s(literal -1/6 binary64))) eps))) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x)))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) (/.f64 (-.f64 (*.f64 (sin.f64 x) #s(literal -1/6 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps)) eps))) |
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) |
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) |
(+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(+ (* x (+ (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/6 (pow eps 2)) 1)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) |
(fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 x #s(literal -1/2 binary64)))) |
(+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (* -1/6 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 (*.f64 eps x) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) |
(* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(*.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(*.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(*.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(*.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(*.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(*.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(*.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(*.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(* eps (- (* 1/24 (pow eps 2)) 1/2)) |
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1))) |
(fma.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* -1/2 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/6 (pow eps 2))) 1))) |
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(* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
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(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 |
#s(literal -1 binary64) |
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(* eps (- (* 1/6 (pow x 2)) 1)) |
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(* eps (- (* 1/6 (pow x 2)) 1)) |
(*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(* eps (- (* 1/6 (pow x 2)) 1)) |
(*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(* eps (- (* 1/6 (pow x 2)) 1)) |
(*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(* eps (- (* 1/6 (pow x 2)) 1)) |
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(*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
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(*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
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(* 1/6 (* eps (pow x 2))) |
(*.f64 eps (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
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(* 1/6 (* eps (pow x 2))) |
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(*.f64 (*.f64 x x) (-.f64 (*.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (*.f64 x x)))) |
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(pow x 2) |
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x |
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(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
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(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
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(* 1/120 (pow x 5)) |
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(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
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-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/120 (pow x 2)) 1/6) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
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(- (* 1/120 (pow x 2)) 1/6) |
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(* 1/120 (pow x 2)) |
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(- (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps)))) 1) |
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(- (cos (+ eps x)) 1) |
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(- (cos x) 1) |
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(- (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) 1) |
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(- (cos (+ eps x)) 1) |
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(- (cos (- x (* -1 eps))) 1) |
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(cos.f64 eps) |
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(fma.f64 x (-.f64 (*.f64 (cos.f64 eps) (*.f64 x #s(literal -1/2 binary64))) (sin.f64 eps)) (cos.f64 eps)) |
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps)))) |
(fma.f64 x (fma.f64 x (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (*.f64 (sin.f64 eps) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (cos.f64 eps)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos (- eps (* -1 x))) |
(cos.f64 (+.f64 eps x)) |
(cos (- eps (* -1 x))) |
(cos.f64 (+.f64 eps x)) |
(cos (- eps (* -1 x))) |
(cos.f64 (+.f64 eps x)) |
(cos (- eps (* -1 x))) |
(cos.f64 (+.f64 eps x)) |
(cos x) |
(cos.f64 x) |
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(fma.f64 eps (neg.f64 (sin.f64 x)) (*.f64 (fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 x))) |
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) |
(fma.f64 eps (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (cos.f64 x)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos (- x (* -1 eps))) |
(cos.f64 (+.f64 eps x)) |
(cos (- x (* -1 eps))) |
(cos.f64 (+.f64 eps x)) |
(cos (- x (* -1 eps))) |
(cos.f64 (+.f64 eps x)) |
(cos (- x (* -1 eps))) |
(cos.f64 (+.f64 eps x)) |
eps |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
x |
(* x (+ 1 (/ eps x))) |
(fma.f64 x (/.f64 eps x) x) |
(* x (+ 1 (/ eps x))) |
(fma.f64 x (/.f64 eps x) x) |
(* x (+ 1 (/ eps x))) |
(fma.f64 x (/.f64 eps x) x) |
x |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(fma.f64 x (/.f64 eps x) x) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(fma.f64 x (/.f64 eps x) x) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(fma.f64 x (/.f64 eps x) x) |
x |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
eps |
(* eps (+ 1 (/ x eps))) |
(fma.f64 eps (/.f64 x eps) eps) |
(* eps (+ 1 (/ x eps))) |
(fma.f64 eps (/.f64 x eps) eps) |
(* eps (+ 1 (/ x eps))) |
(fma.f64 eps (/.f64 x eps) eps) |
eps |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(fma.f64 eps (/.f64 x eps) eps) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(fma.f64 eps (/.f64 x eps) eps) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(fma.f64 eps (/.f64 x eps) eps) |
| 1× | egg-herbie |
| 2× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1314 | 18022 |
| 1 | 1315 | 18022 |
| 0 | 1315 | 18022 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) (/.f64 (pow.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))) |
(fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps))) |
(fma.f64 eps (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) |
(fma.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (sin.f64 x) eps) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 eps eps) (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps))) |
(fma.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) eps (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps))) |
(fma.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) eps (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 eps (cos.f64 x)) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) eps) (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps))) |
(fma.f64 (*.f64 eps (sin.f64 x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (sin.f64 x) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 eps (+.f64 (pow.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) (-.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))))))) |
(/.f64 (*.f64 eps (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (neg.f64 (pow.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) #s(literal 2 binary64))))) (-.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) #s(literal 3 binary64))) eps) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) (-.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))))))) |
(/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (neg.f64 (pow.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) #s(literal 2 binary64)))) eps) (-.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 eps (+.f64 (pow.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) (-.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 eps (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (neg.f64 (pow.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) #s(literal 2 binary64)))))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) #s(literal 3 binary64))) eps)) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) (-.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (neg.f64 (pow.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) #s(literal 2 binary64)))) eps)) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))))) |
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(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))))) (neg.f64 (-.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))))) (*.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x)))))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 (+.f64 eps 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 #s(literal 2 binary64) (+.f64 eps x))))) (*.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))))) |
(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) #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 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))) (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 x x) (-.f64 x eps))) (cos.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)))) (*.f64 (sin.f64 (/.f64 (*.f64 x x) (-.f64 x eps))) (sin.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps))))) |
(cos.f64 (+.f64 eps x)) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (cos.f64 (-.f64 x eps))) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (cos.f64 (-.f64 x eps)))) |
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) |
(fma.f64 (cos.f64 (/.f64 (*.f64 x x) (-.f64 x eps))) (cos.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps))) (*.f64 (sin.f64 (/.f64 (*.f64 x x) (-.f64 x eps))) (sin.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64))) (cos.f64 (-.f64 x eps))) |
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x))))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)))) (neg.f64 (cos.f64 (-.f64 x eps)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))))) |
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) |
(*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)) |
(+.f64 eps x) |
(+.f64 x eps) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))) |
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps x)) (/.f64 (*.f64 x x) (-.f64 eps x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x eps) (*.f64 (+.f64 eps x) (-.f64 x eps))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x eps) (*.f64 (+.f64 eps x) (-.f64 x eps)))) |
(/.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) |
(/.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x)))) |
(/.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x eps)) |
(/.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 x eps))) (neg.f64 (-.f64 x eps))) |
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (-.f64 eps x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (-.f64 x eps) (-.f64 x eps))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))))) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) (fma.f64 (*.f64 eps eps) (*.f64 eps eps) (*.f64 (*.f64 x x) (*.f64 eps eps)))) (-.f64 x eps))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 eps eps)) (-.f64 x eps))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)))) (neg.f64 (neg.f64 (-.f64 x eps)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 x x))) (neg.f64 (-.f64 eps x))) |
(pow.f64 (/.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x eps) (*.f64 (+.f64 eps x) (-.f64 x eps))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))) |
(*.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) |
| Outputs |
|---|
(+.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) (/.f64 (pow.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))) |
(fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps))) |
(fma.f64 eps (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) |
(fma.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps))) |
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(cos.f64 (+.f64 eps x)) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (cos.f64 (-.f64 x eps))) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (cos.f64 (-.f64 x eps)))) |
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) |
(fma.f64 (cos.f64 (/.f64 (*.f64 x x) (-.f64 x eps))) (cos.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps))) (*.f64 (sin.f64 (/.f64 (*.f64 x x) (-.f64 x eps))) (sin.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64))) (cos.f64 (-.f64 x eps))) |
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x))))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)))) (neg.f64 (cos.f64 (-.f64 x eps)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))))) |
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) |
(*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)) |
(+.f64 eps x) |
(+.f64 x eps) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))) |
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps x)) (/.f64 (*.f64 x x) (-.f64 eps x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x eps) (*.f64 (+.f64 eps x) (-.f64 x eps))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x eps) (*.f64 (+.f64 eps x) (-.f64 x eps)))) |
(/.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) |
(/.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x)))) |
(/.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x eps)) |
(/.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 x eps))) (neg.f64 (-.f64 x eps))) |
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (-.f64 eps x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (-.f64 x eps) (-.f64 x eps))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))))) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) (fma.f64 (*.f64 eps eps) (*.f64 eps eps) (*.f64 (*.f64 x x) (*.f64 eps eps)))) (-.f64 x eps))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 eps eps)) (-.f64 x eps))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)))) (neg.f64 (neg.f64 (-.f64 x eps)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 x x))) (neg.f64 (-.f64 eps x))) |
(pow.f64 (/.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x eps) (*.f64 (+.f64 eps x) (-.f64 x eps))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))) |
(*.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) |
Compiled 9 040 to 299 computations (96.7% saved)
32 alts after pruning (26 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 596 | 14 | 610 |
| Fresh | 3 | 12 | 15 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 2 | 3 |
| Total | 601 | 32 | 633 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.1% | (fma.f64 x (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
| 96.9% | (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 x #s(literal -1/2 binary64)))) | |
| 52.5% | (-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| ✓ | 54.0% | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 52.2% | (-.f64 (cos.f64 x) #s(literal 1 binary64)) | |
| ✓ | 52.0% | (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
| 78.1% | (*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps)) | |
| ✓ | 78.0% | (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps)) |
| 22.9% | (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))) (*.f64 (/.f64 (sin.f64 x) eps) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps)))))) | |
| 22.9% | (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps) (*.f64 (sin.f64 x) #s(literal -1/6 binary64))) eps))) | |
| 22.0% | (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))) (/.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) eps)) (/.f64 (sin.f64 x) (*.f64 eps (*.f64 eps eps))))) | |
| ✓ | 79.1% | (*.f64 (sin.f64 x) (neg.f64 eps)) |
| 31.2% | (*.f64 x (*.f64 (*.f64 x x) (-.f64 (*.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (*.f64 x x))))) | |
| ✓ | 78.0% | (*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
| 78.0% | (*.f64 x (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) | |
| 51.9% | (*.f64 x (*.f64 eps (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) | |
| ▶ | 78.0% | (*.f64 x (neg.f64 eps)) |
| 96.9% | (*.f64 eps (fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x x)) eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) | |
| 97.9% | (*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x x)) eps)))) | |
| 98.2% | (*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) | |
| 97.7% | (*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) | |
| ▶ | 97.8% | (*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
| ✓ | 99.7% | (*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
| ▶ | 99.3% | (*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) |
| 97.2% | (*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)))) #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) | |
| 96.8% | (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) #s(literal -1/2 binary64)) (neg.f64 x))) | |
| ▶ | 96.8% | (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x)) |
| 98.8% | (*.f64 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))) | |
| 96.8% | (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) | |
| 32.4% | (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))) (*.f64 (/.f64 (sin.f64 x) eps) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))))))) | |
| 78.0% | (*.f64 eps (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) | |
| 53.2% | (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) |
Compiled 1 229 to 713 computations (42% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 eps eps) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 640 | (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) |
| ✓ | cost-diff | 704 | (fma.f64 x (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x) |
| ✓ | cost-diff | 0 | (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x)) |
| ✓ | cost-diff | 0 | (neg.f64 eps) |
| ✓ | cost-diff | 0 | (*.f64 x (neg.f64 eps)) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
| ✓ | cost-diff | 0 | (*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) |
| 17 504× | lower-fma.f32 |
| 17 486× | lower-fma.f64 |
| 5 978× | lower-+.f64 |
| 5 978× | lower-+.f32 |
| 3 886× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 359 |
| 0 | 73 | 359 |
| 1 | 179 | 359 |
| 2 | 551 | 350 |
| 3 | 1851 | 350 |
| 4 | 5125 | 349 |
| 5 | 7890 | 349 |
| 0 | 8896 | 345 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) |
eps |
(fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(sin.f64 x) |
x |
(fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 eps eps) |
#s(literal -1 binary64) |
(*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 x)) |
#s(literal -1/2 binary64) |
(cos.f64 x) |
(*.f64 x (neg.f64 eps)) |
x |
(neg.f64 eps) |
eps |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x)) |
eps |
(-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x) |
(*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 x eps) |
x |
#s(literal -1/2 binary64) |
(fma.f64 x (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
x |
(fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(*.f64 eps eps) |
eps |
(fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
(*.f64 x #s(literal -1/2 binary64)) |
(*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) |
#s(literal 1/6 binary64) |
#s(literal -1 binary64) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
eps |
(fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))) |
(sin.f64 x) |
x |
(fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 eps eps) |
#s(literal -1 binary64) |
(*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 x x) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) |
| Outputs |
|---|
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) |
(*.f64 eps (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
eps |
(fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(sin.f64 x) |
x |
(fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) |
(fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 eps eps) |
#s(literal -1 binary64) |
(*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 x)) |
#s(literal -1/2 binary64) |
(cos.f64 x) |
(*.f64 x (neg.f64 eps)) |
(*.f64 eps (neg.f64 x)) |
x |
(neg.f64 eps) |
eps |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x)) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 x))) |
eps |
(-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x) |
(fma.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 x)) |
(*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) |
(*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) |
(fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 x eps) |
(*.f64 eps x) |
x |
#s(literal -1/2 binary64) |
(fma.f64 x (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
x |
(fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) |
(*.f64 eps (fma.f64 eps (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/4 binary64)) (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 eps eps) |
eps |
(fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
(*.f64 x #s(literal -1/2 binary64)) |
(*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) |
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) |
(fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
#s(literal 1/6 binary64) |
#s(literal -1 binary64) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
(*.f64 eps (fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (*.f64 eps (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))) eps) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
eps |
(fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))) |
(fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (*.f64 eps (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))) eps) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(sin.f64 x) |
x |
(fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) |
(fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 eps eps) |
#s(literal -1 binary64) |
(*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (*.f64 eps (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))) eps)) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 x x) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))) |
| ✓ | accuracy | 100.0% | (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
| ✓ | accuracy | 100.0% | (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) |
| ✓ | accuracy | 100.0% | (fma.f64 x (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x) |
| ✓ | accuracy | 100.0% | (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x)) |
| ✓ | accuracy | 100.0% | (*.f64 x (neg.f64 eps)) |
| ✓ | accuracy | 100.0% | (neg.f64 eps) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 100.0% | (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) |
| ✓ | accuracy | 100.0% | (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
| ✓ | accuracy | 99.8% | (*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) |
| 82.0ms | 253× | 0 | valid |
| 2.0ms | 1× | 3 | valid |
| 1.0ms | 1× | 2 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 404 to 46 computations (88.6% saved)
ival-mult: 37.0ms (58.9% of total)ival-add: 11.0ms (17.5% of total)const: 7.0ms (11.1% of total)ival-cos: 3.0ms (4.8% of total)ival-sin: 2.0ms (3.2% of total)ival-sub: 1.0ms (1.6% of total)ival-neg: 1.0ms (1.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))> |
#<alt (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))> |
#<alt (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))> |
#<alt (cos.f64 x)> |
#<alt (neg.f64 eps)> |
#<alt (*.f64 x (neg.f64 eps))> |
#<alt (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x))> |
#<alt (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64)))> |
#<alt (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x)> |
#<alt (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))> |
#<alt (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))> |
#<alt (fma.f64 x (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))> |
#<alt (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))))> |
#<alt (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))> |
#<alt (*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))))> |
#<alt (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))> |
#<alt (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))> |
#<alt (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))> |
| Outputs |
|---|
#<alt (* -1 (* eps (sin x)))> |
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))> |
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))> |
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))> |
#<alt (* 1/6 (* (pow eps 3) (sin x)))> |
#<alt (* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))> |
#<alt (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))> |
#<alt (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))> |
#<alt (* 1/6 (* (pow eps 3) (sin x)))> |
#<alt (* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))> |
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))> |
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))> |
#<alt (* -1/2 (pow eps 2))> |
#<alt (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))> |
#<alt (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))> |
#<alt (+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/6 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))) (* 1/4 (pow eps 2)))))))> |
#<alt (* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))> |
#<alt (* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))> |
#<alt (* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))> |
#<alt (* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))> |
#<alt (* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))> |
#<alt (* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))> |
#<alt (* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))> |
#<alt (* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))> |
#<alt (* -1/2 eps)> |
#<alt (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))> |
#<alt (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))> |
#<alt (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/6 (* x (- (* 1/6 (pow eps 2)) 1))) (* 1/4 eps)))) 1)))> |
#<alt (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))> |
#<alt (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))> |
#<alt (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))> |
#<alt (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))> |
#<alt (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))> |
#<alt (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))> |
#<alt (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))> |
#<alt (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))> |
#<alt (* -1 (sin x))> |
#<alt (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))> |
#<alt (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))> |
#<alt (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))> |
#<alt (* 1/6 (* (pow eps 2) (sin x)))> |
#<alt (* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))> |
#<alt (* 1/6 (* (pow eps 2) (sin x)))> |
#<alt (* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))> |
#<alt (* -1/2 (* eps (cos x)))> |
#<alt (* -1/2 (* eps (cos x)))> |
#<alt (* -1/2 (* eps (cos x)))> |
#<alt (* -1/2 (* eps (cos x)))> |
#<alt (* -1/2 (* eps (cos x)))> |
#<alt (* -1/2 (* eps (cos x)))> |
#<alt (* -1/2 (* eps (cos x)))> |
#<alt (* -1/2 (* eps (cos x)))> |
#<alt (* -1/2 (* eps (cos x)))> |
#<alt (* -1/2 (* eps (cos x)))> |
#<alt (* -1/2 (* eps (cos x)))> |
#<alt (* -1/2 (* eps (cos x)))> |
#<alt (* -1/2 eps)> |
#<alt (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))> |
#<alt (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))> |
#<alt (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))> |
#<alt (* -1/2 (* eps (cos x)))> |
#<alt (* -1/2 (* eps (cos x)))> |
#<alt (* -1/2 (* eps (cos x)))> |
#<alt (* -1/2 (* eps (cos x)))> |
#<alt (* -1/2 (* eps (cos x)))> |
#<alt (* -1/2 (* eps (cos x)))> |
#<alt (* -1/2 (* eps (cos x)))> |
#<alt (* -1/2 (* eps (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 eps)> |
#<alt (* -1 eps)> |
#<alt (* -1 eps)> |
#<alt (* -1 eps)> |
#<alt (* -1 eps)> |
#<alt (* -1 eps)> |
#<alt (* -1 eps)> |
#<alt (* -1 eps)> |
#<alt (* -1 eps)> |
#<alt (* -1 eps)> |
#<alt (* -1 eps)> |
#<alt (* -1 eps)> |
#<alt (* -1 (* eps x))> |
#<alt (* -1 (* eps x))> |
#<alt (* -1 (* eps x))> |
#<alt (* -1 (* eps x))> |
#<alt (* -1 (* eps x))> |
#<alt (* -1 (* eps x))> |
#<alt (* -1 (* eps x))> |
#<alt (* -1 (* eps x))> |
#<alt (* -1 (* eps x))> |
#<alt (* -1 (* eps x))> |
#<alt (* -1 (* eps x))> |
#<alt (* -1 (* eps x))> |
#<alt (* -1 (* eps x))> |
#<alt (* -1 (* eps x))> |
#<alt (* -1 (* eps x))> |
#<alt (* -1 (* eps x))> |
#<alt (* -1 (* eps x))> |
#<alt (* -1 (* eps x))> |
#<alt (* -1 (* eps x))> |
#<alt (* -1 (* eps x))> |
#<alt (* -1 (* eps x))> |
#<alt (* -1 (* eps x))> |
#<alt (* -1 (* eps x))> |
#<alt (* -1 (* eps x))> |
#<alt (* -1 (* eps x))> |
#<alt (* eps (+ (* -1 x) (* -1/2 eps)))> |
#<alt (* eps (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2))))> |
#<alt (* eps (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2))))> |
#<alt (* 1/6 (* (pow eps 3) x))> |
#<alt (* (pow eps 3) (- (* 1/6 x) (* 1/2 (/ 1 eps))))> |
#<alt (* (pow eps 3) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))> |
#<alt (* (pow eps 3) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))> |
#<alt (* 1/6 (* (pow eps 3) x))> |
#<alt (* -1 (* (pow eps 3) (+ (* -1/6 x) (* 1/2 (/ 1 eps)))))> |
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ x eps)) 1/2) eps)) (* -1/6 x))))> |
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ x eps)) 1/2) eps)) (* -1/6 x))))> |
#<alt (* -1/2 (pow eps 2))> |
#<alt (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))> |
#<alt (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))> |
#<alt (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))> |
#<alt (* eps (* x (- (* 1/6 (pow eps 2)) 1)))> |
#<alt (* x (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1))))> |
#<alt (* x (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1))))> |
#<alt (* x (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1))))> |
#<alt (* -1 (* eps (* x (+ 1 (* -1/6 (pow eps 2))))))> |
#<alt (* -1 (* x (+ (* 1/2 (/ (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))))> |
#<alt (* -1 (* x (+ (* 1/2 (/ (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))))> |
#<alt (* -1 (* x (+ (* 1/2 (/ (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))))> |
#<alt (* -1/2 eps)> |
#<alt (* eps (- (* 1/6 (* eps x)) 1/2))> |
#<alt (* eps (- (* 1/6 (* eps x)) 1/2))> |
#<alt (* eps (- (* 1/6 (* eps x)) 1/2))> |
#<alt (* 1/6 (* (pow eps 2) x))> |
#<alt (* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))> |
#<alt (* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))> |
#<alt (* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))> |
#<alt (* 1/6 (* (pow eps 2) x))> |
#<alt (* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))> |
#<alt (* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))> |
#<alt (* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))> |
#<alt (* -1/2 eps)> |
#<alt (+ (* -1/2 eps) (* 1/6 (* (pow eps 2) x)))> |
#<alt (+ (* -1/2 eps) (* 1/6 (* (pow eps 2) x)))> |
#<alt (+ (* -1/2 eps) (* 1/6 (* (pow eps 2) x)))> |
#<alt (* 1/6 (* (pow eps 2) x))> |
#<alt (* x (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))))> |
#<alt (* x (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))))> |
#<alt (* x (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))))> |
#<alt (* 1/6 (* (pow eps 2) x))> |
#<alt (* -1 (* x (+ (* -1/6 (pow eps 2)) (* 1/2 (/ eps x)))))> |
#<alt (* -1 (* x (+ (* -1/6 (pow eps 2)) (* 1/2 (/ eps x)))))> |
#<alt (* -1 (* x (+ (* -1/6 (pow eps 2)) (* 1/2 (/ eps x)))))> |
#<alt (* -1 x)> |
#<alt (- (* -1/2 eps) x)> |
#<alt (- (* eps (- (* 1/6 (* eps x)) 1/2)) x)> |
#<alt (- (* eps (- (* 1/6 (* eps x)) 1/2)) x)> |
#<alt (* 1/6 (* (pow eps 2) x))> |
#<alt (* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))> |
#<alt (* (pow eps 2) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))> |
#<alt (* (pow eps 2) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))> |
#<alt (* 1/6 (* (pow eps 2) x))> |
#<alt (* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (/ x eps)) eps)) (* 1/6 x)))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (/ x eps)) eps)) (* 1/6 x)))> |
#<alt (* -1/2 eps)> |
#<alt (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))> |
#<alt (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))> |
#<alt (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))> |
#<alt (* x (- (* 1/6 (pow eps 2)) 1))> |
#<alt (* x (- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1))> |
#<alt (* x (- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1))> |
#<alt (* x (- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1))> |
#<alt (* -1 (* x (+ 1 (* -1/6 (pow eps 2)))))> |
#<alt (* -1 (* x (+ 1 (+ (* -1/6 (pow eps 2)) (* 1/2 (/ eps x))))))> |
#<alt (* -1 (* x (+ 1 (+ (* -1/6 (pow eps 2)) (* 1/2 (/ eps x))))))> |
#<alt (* -1 (* x (+ 1 (+ (* -1/6 (pow eps 2)) (* 1/2 (/ eps x))))))> |
#<alt -1/2> |
#<alt (- (* 1/6 (* eps x)) 1/2)> |
#<alt (- (* 1/6 (* eps x)) 1/2)> |
#<alt (- (* 1/6 (* eps x)) 1/2)> |
#<alt (* 1/6 (* eps x))> |
#<alt (* x (- (* 1/6 eps) (* 1/2 (/ 1 x))))> |
#<alt (* x (- (* 1/6 eps) (* 1/2 (/ 1 x))))> |
#<alt (* x (- (* 1/6 eps) (* 1/2 (/ 1 x))))> |
#<alt (* 1/6 (* eps x))> |
#<alt (* -1 (* x (+ (* -1/6 eps) (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* x (+ (* -1/6 eps) (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* x (+ (* -1/6 eps) (* 1/2 (/ 1 x)))))> |
#<alt -1/2> |
#<alt (- (* 1/6 (* eps x)) 1/2)> |
#<alt (- (* 1/6 (* eps x)) 1/2)> |
#<alt (- (* 1/6 (* eps x)) 1/2)> |
#<alt (* 1/6 (* eps x))> |
#<alt (* eps (- (* 1/6 x) (* 1/2 (/ 1 eps))))> |
#<alt (* eps (- (* 1/6 x) (* 1/2 (/ 1 eps))))> |
#<alt (* eps (- (* 1/6 x) (* 1/2 (/ 1 eps))))> |
#<alt (* 1/6 (* eps x))> |
#<alt (* -1 (* eps (+ (* -1/6 x) (* 1/2 (/ 1 eps)))))> |
#<alt (* -1 (* eps (+ (* -1/6 x) (* 1/2 (/ 1 eps)))))> |
#<alt (* -1 (* eps (+ (* -1/6 x) (* 1/2 (/ 1 eps)))))> |
#<alt (* -1/2 (pow eps 2))> |
#<alt (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))> |
#<alt (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))> |
#<alt (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))> |
#<alt (* 1/24 (pow eps 4))> |
#<alt (* (pow eps 4) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 4) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 4) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))> |
#<alt (* 1/24 (pow eps 4))> |
#<alt (* (pow eps 4) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 4) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 4) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))> |
#<alt (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))> |
#<alt (+ (* x (+ (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/6 (pow eps 2)) 1)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))> |
#<alt (+ (* x (+ (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/6 (pow eps 2)) 1)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))> |
#<alt (* -1/2 (* (pow eps 2) (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))> |
#<alt (* (pow x 2) (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x)))> |
#<alt (* (pow x 2) (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x) (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x) (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2)))))> |
#<alt (* -1/2 (* (pow eps 2) (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))> |
#<alt (* (pow x 2) (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x)))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* -1 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) x))) x)) (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* -1 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) x))) x)) (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))> |
#<alt (* -1 (* eps x))> |
#<alt (* eps (+ (* -1 x) (* eps (- (* 1/4 (pow x 2)) 1/2))))> |
#<alt (* eps (+ (* -1 x) (* eps (- (+ (* 1/6 (* eps x)) (* 1/4 (pow x 2))) 1/2))))> |
#<alt (* eps (+ (* -1 x) (* eps (- (+ (* 1/4 (pow x 2)) (* eps (+ (* 1/6 x) (* eps (+ 1/24 (* -1/48 (pow x 2))))))) 1/2))))> |
#<alt (* (pow eps 4) (+ 1/24 (* -1/48 (pow x 2))))> |
#<alt (* (pow eps 4) (+ 1/24 (+ (* -1/48 (pow x 2)) (* 1/6 (/ x eps)))))> |
#<alt (* (pow eps 4) (- (+ 1/24 (+ (* -1/48 (pow x 2)) (+ (* 1/6 (/ x eps)) (* 1/4 (/ (pow x 2) (pow eps 2)))))) (/ 1/2 (pow eps 2))))> |
#<alt (* (pow eps 4) (- (+ 1/24 (+ (* -1 (/ x (pow eps 3))) (+ (* -1/48 (pow x 2)) (+ (* 1/6 (/ x eps)) (* 1/4 (/ (pow x 2) (pow eps 2))))))) (/ 1/2 (pow eps 2))))> |
#<alt (* (pow eps 4) (+ 1/24 (* -1/48 (pow x 2))))> |
#<alt (* (pow eps 4) (+ 1/24 (+ (* -1/48 (pow x 2)) (* 1/6 (/ x eps)))))> |
#<alt (* (pow eps 4) (+ 1/24 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/4 (pow x 2)) 1/2) eps)) (* -1/6 x)) eps)) (* -1/48 (pow x 2)))))> |
#<alt (* (pow eps 4) (+ 1/24 (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))) 1/2) eps)) (* -1/6 x)) eps)) (* -1/48 (pow x 2)))))> |
#<alt (* -1 eps)> |
#<alt (* eps (- (* 1/4 (* eps x)) 1))> |
#<alt (* eps (- (* eps (+ (* 1/6 eps) (* 1/4 x))) 1))> |
#<alt (* eps (- (* eps (+ (* 1/4 x) (* eps (+ 1/6 (* -1/48 (* eps x)))))) 1))> |
#<alt (* -1/48 (* (pow eps 4) x))> |
#<alt (* (pow eps 4) (+ (* -1/48 x) (* 1/6 (/ 1 eps))))> |
#<alt (* (pow eps 4) (+ (* -1/48 x) (+ (* 1/4 (/ x (pow eps 2))) (* 1/6 (/ 1 eps)))))> |
#<alt (* (pow eps 4) (- (+ (* -1/48 x) (+ (* 1/4 (/ x (pow eps 2))) (* 1/6 (/ 1 eps)))) (/ 1 (pow eps 3))))> |
#<alt (* -1/48 (* (pow eps 4) x))> |
#<alt (* (pow eps 4) (+ (* -1/48 x) (* 1/6 (/ 1 eps))))> |
#<alt (* (pow eps 4) (+ (* -1 (/ (- (* -1/4 (/ x eps)) 1/6) eps)) (* -1/48 x)))> |
#<alt (* (pow eps 4) (+ (* -1 (/ (- (* -1 (/ (- (* 1/4 x) (/ 1 eps)) eps)) 1/6) eps)) (* -1/48 x)))> |
#<alt (* eps (- (* 1/6 (pow eps 2)) 1))> |
#<alt (+ (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/6 (pow eps 2)) 1)))> |
#<alt (+ (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/6 (pow eps 2)) 1)))> |
#<alt (+ (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/6 (pow eps 2)) 1)))> |
#<alt (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))> |
#<alt (* x (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x)))> |
#<alt (* x (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x)))> |
#<alt (* x (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x)))> |
#<alt (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))> |
#<alt (* -1 (* x (+ (* -1 (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x)) (* 1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x)) (* 1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x)) (* 1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))> |
#<alt (* -1 eps)> |
#<alt (* eps (- (* 1/6 (pow eps 2)) 1))> |
#<alt (* eps (- (* 1/6 (pow eps 2)) 1))> |
#<alt (* eps (- (* 1/6 (pow eps 2)) 1))> |
#<alt (* 1/6 (pow eps 3))> |
#<alt (* (pow eps 3) (- 1/6 (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 3) (- 1/6 (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 3) (- 1/6 (/ 1 (pow eps 2))))> |
#<alt (* 1/6 (pow eps 3))> |
#<alt (* -1 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/6)))> |
#<alt (* -1 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/6)))> |
#<alt (* -1 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/6)))> |
#<alt (* -1 (* eps (sin x)))> |
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))> |
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (* eps (sin x)))))))> |
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* eps (+ (* 1/24 (* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) (* 1/6 (sin x))))))))> |
#<alt (* 1/24 (* (pow eps 4) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))> |
#<alt (* (pow eps 4) (+ (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (/ (sin x) eps))))> |
#<alt (* (pow eps 4) (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))) (+ (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (/ (sin x) eps)))))> |
#<alt (* (pow eps 4) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))) (+ (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (/ (sin x) eps))))))> |
#<alt (* 1/24 (* (pow eps 4) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))> |
#<alt (* (pow eps 4) (+ (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (/ (sin x) eps))))> |
#<alt (* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) eps))) eps)) (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))> |
#<alt (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))> |
#<alt (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))> |
#<alt (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))> |
#<alt (+ (* x (+ (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/6 (pow eps 2)) 1)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))> |
#<alt (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (* -1/6 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))> |
#<alt (* 1/24 (* (pow eps 2) (* (pow x 4) (- (* 1/24 (pow eps 2)) 1/2))))> |
#<alt (* (pow x 4) (+ (* -1/2 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (* 1/24 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))> |
#<alt (* (pow x 4) (+ (* -1/2 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) (pow x 4)))))> |
#<alt (* (pow x 4) (+ (* -1/2 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) (pow x 4)))))> |
#<alt (* 1/24 (* (pow eps 2) (* (pow x 4) (- (* 1/24 (pow eps 2)) 1/2))))> |
#<alt (* (pow x 4) (+ (* -1/2 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (* 1/24 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))> |
#<alt (* (pow x 4) (+ (* -1/2 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) (pow x 4)))))> |
#<alt (* (pow x 4) (+ (* -1/2 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) (pow x 4)))))> |
#<alt (* -1/2 (* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))> |
#<alt (* eps (+ (* -1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/24 (* (pow eps 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))> |
#<alt (* eps (+ (* -1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/24 (* (pow eps 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))> |
#<alt (* eps (+ (* -1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/24 (* (pow eps 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))> |
#<alt (* 1/24 (* (pow eps 3) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))> |
#<alt (* (pow eps 3) (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))) (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))> |
#<alt (* (pow eps 3) (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))) (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))> |
#<alt (* (pow eps 3) (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))) (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))> |
#<alt (* 1/24 (* (pow eps 3) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))> |
#<alt (* -1 (* (pow eps 3) (+ (* -1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))))))> |
#<alt (* -1 (* (pow eps 3) (+ (* -1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))))))> |
#<alt (* -1 (* (pow eps 3) (+ (* -1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))))))> |
#<alt (* eps (- (* 1/24 (pow eps 2)) 1/2))> |
#<alt (+ (* -1/2 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))> |
#<alt (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* (pow x 2) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/24 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))))))> |
#<alt (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* (pow x 2) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/24 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))))))> |
#<alt (* 1/24 (* eps (* (pow x 4) (- (* 1/24 (pow eps 2)) 1/2))))> |
#<alt (* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2)))))> |
#<alt (* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 4)))))> |
#<alt (* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 4)))))> |
#<alt (* 1/24 (* eps (* (pow x 4) (- (* 1/24 (pow eps 2)) 1/2))))> |
#<alt (* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2)))))> |
#<alt (* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 4)))))> |
#<alt (* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 4)))))> |
#<alt (* eps (- (* 1/24 (pow eps 2)) 1/2))> |
#<alt (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))> |
#<alt (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* -1/2 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/6 (pow eps 2))) 1)))> |
#<alt (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* -1/6 (* x (- (* 1/6 (pow eps 2)) 1)))))) 1)))> |
#<alt (* 1/24 (* eps (* (pow x 4) (- (* 1/24 (pow eps 2)) 1/2))))> |
#<alt (* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2)))))> |
#<alt (* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 4)) (/ (* (sin x) (- (* 1/6 (pow eps 2)) 1)) (pow x 4))))))> |
#<alt (* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 4)) (/ (* (sin x) (- (* 1/6 (pow eps 2)) 1)) (pow x 4))))))> |
#<alt (* 1/24 (* eps (* (pow x 4) (- (* 1/24 (pow eps 2)) 1/2))))> |
#<alt (* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2)))))> |
#<alt (* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 4)) (/ (* (sin x) (- (* 1/6 (pow eps 2)) 1)) (pow x 4))))))> |
#<alt (* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 4)) (/ (* (sin x) (- (* 1/6 (pow eps 2)) 1)) (pow x 4))))))> |
#<alt (* -1 (sin x))> |
#<alt (+ (* -1 (sin x)) (* -1/2 (* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))> |
#<alt (+ (* -1 (sin x)) (* eps (+ (* -1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (* eps (sin x))))))> |
#<alt (+ (* -1 (sin x)) (* eps (+ (* -1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* eps (+ (* 1/24 (* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) (* 1/6 (sin x)))))))> |
#<alt (* 1/24 (* (pow eps 3) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))> |
#<alt (* (pow eps 3) (+ (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (/ (sin x) eps))))> |
#<alt (* (pow eps 3) (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))) (+ (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (/ (sin x) eps)))))> |
#<alt (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))) (+ (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (/ (sin x) eps))))))> |
#<alt (* 1/24 (* (pow eps 3) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))> |
#<alt (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))> |
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))> |
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (/ (sin x) eps)) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))> |
#<alt (* -1/2 x)> |
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))> |
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))> |
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))> |
93 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | eps | @ | inf | (+ (* x (+ (* (* (* eps eps) (+ (* 1/24 (* eps eps)) -1/2)) (* x -1/2)) (* eps (+ (* 1/6 (* eps eps)) -1)))) (* (* eps eps) (+ (* 1/24 (* eps eps)) -1/2))) |
| 5.0ms | eps | @ | 0 | (* eps (+ (* (sin x) (+ (* 1/6 (* eps eps)) -1)) (* eps (* -1/2 (cos x))))) |
| 1.0ms | x | @ | -inf | (* eps (+ (* (sin x) (+ (* 1/6 (* eps eps)) -1)) (* eps (* -1/2 (cos x))))) |
| 1.0ms | x | @ | inf | (* eps (+ (* (sin x) (+ (* 1/6 (* eps eps)) -1)) (* eps (* -1/2 (cos x))))) |
| 1.0ms | x | @ | inf | (* eps (+ (* (sin x) (+ (* 1/6 (* eps eps)) -1)) (* eps (* (+ (* x (* x (+ (* 1/24 (* x x)) -1/2))) 1) (+ (* 1/24 (* eps eps)) -1/2))))) |
| 1× | batch-egg-rewrite |
| 6 976× | lower-fma.f32 |
| 6 958× | lower-fma.f64 |
| 5 148× | lower-*.f32 |
| 5 116× | lower-*.f64 |
| 3 216× | lower-/.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 244 |
| 0 | 73 | 244 |
| 1 | 298 | 244 |
| 2 | 2565 | 241 |
| 0 | 8819 | 241 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) |
(fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) |
(cos.f64 x) |
(neg.f64 eps) |
(*.f64 x (neg.f64 eps)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x)) |
(*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) |
(-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 x (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) |
(*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
(*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))) |
(*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(+.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) (/.f64 (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))) |
(fma.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(fma.f64 eps (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(fma.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(fma.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (sin.f64 x) eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps eps) (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 x) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(fma.f64 (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) eps (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) eps) (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 eps (sin.f64 x)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) |
(/.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))))) |
(/.f64 (*.f64 eps (-.f64 (*.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) eps) (fma.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) eps) (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))) |
(/.f64 (neg.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 eps (-.f64 (*.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))) (neg.f64 (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) eps)) (neg.f64 (fma.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) eps)) (neg.f64 (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))))) |
(*.f64 eps (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) eps) |
(+.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(+.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))) (+.f64 (neg.f64 (sin.f64 x)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) |
(+.f64 (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))) (neg.f64 (sin.f64 x))) |
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) (/.f64 (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) (/.f64 (*.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) |
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
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(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 eps eps) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) |
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(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x) |
| 1× | egg-herbie |
| 13 190× | lower-fma.f64 |
| 13 190× | lower-fma.f32 |
| 7 374× | lower-*.f64 |
| 7 374× | lower-*.f32 |
| 2 826× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 514 | 6052 |
| 1 | 1715 | 5861 |
| 2 | 5721 | 5375 |
| 0 | 8260 | 4938 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* eps (sin x))) |
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))) |
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))) |
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))) |
(* 1/6 (* (pow eps 3) (sin x))) |
(* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))) |
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))) |
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))) |
(* 1/6 (* (pow eps 3) (sin x))) |
(* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))))) |
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))))) |
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))))) |
(* -1/2 (pow eps 2)) |
(+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1)))) |
(+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1))))) |
(+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/6 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))) (* 1/4 (pow eps 2))))))) |
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(* -1/2 eps) |
(+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) |
(+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1))) |
(+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/6 (* x (- (* 1/6 (pow eps 2)) 1))) (* 1/4 eps)))) 1))) |
(+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))) |
(+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))) |
(+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))) |
(+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))) |
(+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))) |
(+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))) |
(+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))) |
(+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))) |
(* -1 (sin x)) |
(+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))) |
(+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))) |
(+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))) |
(* 1/6 (* (pow eps 2) (sin x))) |
(* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))) |
(* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))) |
(* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))) |
(* 1/6 (* (pow eps 2) (sin x))) |
(* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x)))) |
(* -1/2 (* eps (cos x))) |
(* -1/2 (* eps (cos x))) |
(* -1/2 (* eps (cos x))) |
(* -1/2 (* eps (cos x))) |
(* -1/2 (* eps (cos x))) |
(* -1/2 (* eps (cos x))) |
(* -1/2 (* eps (cos x))) |
(* -1/2 (* eps (cos x))) |
(* -1/2 (* eps (cos x))) |
(* -1/2 (* eps (cos x))) |
(* -1/2 (* eps (cos x))) |
(* -1/2 (* eps (cos x))) |
(* -1/2 eps) |
(+ (* -1/2 eps) (* 1/4 (* eps (pow x 2)))) |
(+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps)))) |
(+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2)))))))) |
(* -1/2 (* eps (cos x))) |
(* -1/2 (* eps (cos x))) |
(* -1/2 (* eps (cos x))) |
(* -1/2 (* eps (cos x))) |
(* -1/2 (* eps (cos x))) |
(* -1/2 (* eps (cos x))) |
(* -1/2 (* eps (cos x))) |
(* -1/2 (* eps (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 eps) |
(* -1 eps) |
(* -1 eps) |
(* -1 eps) |
(* -1 eps) |
(* -1 eps) |
(* -1 eps) |
(* -1 eps) |
(* -1 eps) |
(* -1 eps) |
(* -1 eps) |
(* -1 eps) |
(* -1 (* eps x)) |
(* -1 (* eps x)) |
(* -1 (* eps x)) |
(* -1 (* eps x)) |
(* -1 (* eps x)) |
(* -1 (* eps x)) |
(* -1 (* eps x)) |
(* -1 (* eps x)) |
(* -1 (* eps x)) |
(* -1 (* eps x)) |
(* -1 (* eps x)) |
(* -1 (* eps x)) |
(* -1 (* eps x)) |
(* -1 (* eps x)) |
(* -1 (* eps x)) |
(* -1 (* eps x)) |
(* -1 (* eps x)) |
(* -1 (* eps x)) |
(* -1 (* eps x)) |
(* -1 (* eps x)) |
(* -1 (* eps x)) |
(* -1 (* eps x)) |
(* -1 (* eps x)) |
(* -1 (* eps x)) |
(* -1 (* eps x)) |
(* eps (+ (* -1 x) (* -1/2 eps))) |
(* eps (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2)))) |
(* eps (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2)))) |
(* 1/6 (* (pow eps 3) x)) |
(* (pow eps 3) (- (* 1/6 x) (* 1/2 (/ 1 eps)))) |
(* (pow eps 3) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps)))) |
(* (pow eps 3) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps)))) |
(* 1/6 (* (pow eps 3) x)) |
(* -1 (* (pow eps 3) (+ (* -1/6 x) (* 1/2 (/ 1 eps))))) |
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ x eps)) 1/2) eps)) (* -1/6 x)))) |
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ x eps)) 1/2) eps)) (* -1/6 x)))) |
(* -1/2 (pow eps 2)) |
(+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1)))) |
(+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1)))) |
(+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1)))) |
(* eps (* x (- (* 1/6 (pow eps 2)) 1))) |
(* x (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))) |
(* x (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))) |
(* x (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))) |
(* -1 (* eps (* x (+ 1 (* -1/6 (pow eps 2)))))) |
(* -1 (* x (+ (* 1/2 (/ (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2))))))) |
(* -1 (* x (+ (* 1/2 (/ (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2))))))) |
(* -1 (* x (+ (* 1/2 (/ (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2))))))) |
(* -1/2 eps) |
(* eps (- (* 1/6 (* eps x)) 1/2)) |
(* eps (- (* 1/6 (* eps x)) 1/2)) |
(* eps (- (* 1/6 (* eps x)) 1/2)) |
(* 1/6 (* (pow eps 2) x)) |
(* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps)))) |
(* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps)))) |
(* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps)))) |
(* 1/6 (* (pow eps 2) x)) |
(* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps)))) |
(* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps)))) |
(* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps)))) |
(* -1/2 eps) |
(+ (* -1/2 eps) (* 1/6 (* (pow eps 2) x))) |
(+ (* -1/2 eps) (* 1/6 (* (pow eps 2) x))) |
(+ (* -1/2 eps) (* 1/6 (* (pow eps 2) x))) |
(* 1/6 (* (pow eps 2) x)) |
(* x (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2)))) |
(* x (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2)))) |
(* x (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2)))) |
(* 1/6 (* (pow eps 2) x)) |
(* -1 (* x (+ (* -1/6 (pow eps 2)) (* 1/2 (/ eps x))))) |
(* -1 (* x (+ (* -1/6 (pow eps 2)) (* 1/2 (/ eps x))))) |
(* -1 (* x (+ (* -1/6 (pow eps 2)) (* 1/2 (/ eps x))))) |
(* -1 x) |
(- (* -1/2 eps) x) |
(- (* eps (- (* 1/6 (* eps x)) 1/2)) x) |
(- (* eps (- (* 1/6 (* eps x)) 1/2)) x) |
(* 1/6 (* (pow eps 2) x)) |
(* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps)))) |
(* (pow eps 2) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps)))) |
(* (pow eps 2) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps)))) |
(* 1/6 (* (pow eps 2) x)) |
(* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps)))) |
(* (pow eps 2) (+ (* -1 (/ (+ 1/2 (/ x eps)) eps)) (* 1/6 x))) |
(* (pow eps 2) (+ (* -1 (/ (+ 1/2 (/ x eps)) eps)) (* 1/6 x))) |
(* -1/2 eps) |
(+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) |
(+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) |
(+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) |
(* x (- (* 1/6 (pow eps 2)) 1)) |
(* x (- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1)) |
(* x (- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1)) |
(* x (- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1)) |
(* -1 (* x (+ 1 (* -1/6 (pow eps 2))))) |
(* -1 (* x (+ 1 (+ (* -1/6 (pow eps 2)) (* 1/2 (/ eps x)))))) |
(* -1 (* x (+ 1 (+ (* -1/6 (pow eps 2)) (* 1/2 (/ eps x)))))) |
(* -1 (* x (+ 1 (+ (* -1/6 (pow eps 2)) (* 1/2 (/ eps x)))))) |
-1/2 |
(- (* 1/6 (* eps x)) 1/2) |
(- (* 1/6 (* eps x)) 1/2) |
(- (* 1/6 (* eps x)) 1/2) |
(* 1/6 (* eps x)) |
(* x (- (* 1/6 eps) (* 1/2 (/ 1 x)))) |
(* x (- (* 1/6 eps) (* 1/2 (/ 1 x)))) |
(* x (- (* 1/6 eps) (* 1/2 (/ 1 x)))) |
(* 1/6 (* eps x)) |
(* -1 (* x (+ (* -1/6 eps) (* 1/2 (/ 1 x))))) |
(* -1 (* x (+ (* -1/6 eps) (* 1/2 (/ 1 x))))) |
(* -1 (* x (+ (* -1/6 eps) (* 1/2 (/ 1 x))))) |
-1/2 |
(- (* 1/6 (* eps x)) 1/2) |
(- (* 1/6 (* eps x)) 1/2) |
(- (* 1/6 (* eps x)) 1/2) |
(* 1/6 (* eps x)) |
(* eps (- (* 1/6 x) (* 1/2 (/ 1 eps)))) |
(* eps (- (* 1/6 x) (* 1/2 (/ 1 eps)))) |
(* eps (- (* 1/6 x) (* 1/2 (/ 1 eps)))) |
(* 1/6 (* eps x)) |
(* -1 (* eps (+ (* -1/6 x) (* 1/2 (/ 1 eps))))) |
(* -1 (* eps (+ (* -1/6 x) (* 1/2 (/ 1 eps))))) |
(* -1 (* eps (+ (* -1/6 x) (* 1/2 (/ 1 eps))))) |
(* -1/2 (pow eps 2)) |
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) |
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) |
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) |
(* 1/24 (pow eps 4)) |
(* (pow eps 4) (- 1/24 (* 1/2 (/ 1 (pow eps 2))))) |
(* (pow eps 4) (- 1/24 (* 1/2 (/ 1 (pow eps 2))))) |
(* (pow eps 4) (- 1/24 (* 1/2 (/ 1 (pow eps 2))))) |
(* 1/24 (pow eps 4)) |
(* (pow eps 4) (- 1/24 (* 1/2 (/ 1 (pow eps 2))))) |
(* (pow eps 4) (- 1/24 (* 1/2 (/ 1 (pow eps 2))))) |
(* (pow eps 4) (- 1/24 (* 1/2 (/ 1 (pow eps 2))))) |
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) |
(+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) |
(+ (* x (+ (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/6 (pow eps 2)) 1)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) |
(+ (* x (+ (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/6 (pow eps 2)) 1)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) |
(* -1/2 (* (pow eps 2) (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))) |
(* (pow x 2) (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x))) |
(* (pow x 2) (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x) (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))))) |
(* (pow x 2) (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x) (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))))) |
(* -1/2 (* (pow eps 2) (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))) |
(* (pow x 2) (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* -1 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) x))) x)) (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* -1 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) x))) x)) (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))) |
(* -1 (* eps x)) |
(* eps (+ (* -1 x) (* eps (- (* 1/4 (pow x 2)) 1/2)))) |
(* eps (+ (* -1 x) (* eps (- (+ (* 1/6 (* eps x)) (* 1/4 (pow x 2))) 1/2)))) |
(* eps (+ (* -1 x) (* eps (- (+ (* 1/4 (pow x 2)) (* eps (+ (* 1/6 x) (* eps (+ 1/24 (* -1/48 (pow x 2))))))) 1/2)))) |
(* (pow eps 4) (+ 1/24 (* -1/48 (pow x 2)))) |
(* (pow eps 4) (+ 1/24 (+ (* -1/48 (pow x 2)) (* 1/6 (/ x eps))))) |
(* (pow eps 4) (- (+ 1/24 (+ (* -1/48 (pow x 2)) (+ (* 1/6 (/ x eps)) (* 1/4 (/ (pow x 2) (pow eps 2)))))) (/ 1/2 (pow eps 2)))) |
(* (pow eps 4) (- (+ 1/24 (+ (* -1 (/ x (pow eps 3))) (+ (* -1/48 (pow x 2)) (+ (* 1/6 (/ x eps)) (* 1/4 (/ (pow x 2) (pow eps 2))))))) (/ 1/2 (pow eps 2)))) |
(* (pow eps 4) (+ 1/24 (* -1/48 (pow x 2)))) |
(* (pow eps 4) (+ 1/24 (+ (* -1/48 (pow x 2)) (* 1/6 (/ x eps))))) |
(* (pow eps 4) (+ 1/24 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/4 (pow x 2)) 1/2) eps)) (* -1/6 x)) eps)) (* -1/48 (pow x 2))))) |
(* (pow eps 4) (+ 1/24 (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))) 1/2) eps)) (* -1/6 x)) eps)) (* -1/48 (pow x 2))))) |
(* -1 eps) |
(* eps (- (* 1/4 (* eps x)) 1)) |
(* eps (- (* eps (+ (* 1/6 eps) (* 1/4 x))) 1)) |
(* eps (- (* eps (+ (* 1/4 x) (* eps (+ 1/6 (* -1/48 (* eps x)))))) 1)) |
(* -1/48 (* (pow eps 4) x)) |
(* (pow eps 4) (+ (* -1/48 x) (* 1/6 (/ 1 eps)))) |
(* (pow eps 4) (+ (* -1/48 x) (+ (* 1/4 (/ x (pow eps 2))) (* 1/6 (/ 1 eps))))) |
(* (pow eps 4) (- (+ (* -1/48 x) (+ (* 1/4 (/ x (pow eps 2))) (* 1/6 (/ 1 eps)))) (/ 1 (pow eps 3)))) |
(* -1/48 (* (pow eps 4) x)) |
(* (pow eps 4) (+ (* -1/48 x) (* 1/6 (/ 1 eps)))) |
(* (pow eps 4) (+ (* -1 (/ (- (* -1/4 (/ x eps)) 1/6) eps)) (* -1/48 x))) |
(* (pow eps 4) (+ (* -1 (/ (- (* -1 (/ (- (* 1/4 x) (/ 1 eps)) eps)) 1/6) eps)) (* -1/48 x))) |
(* eps (- (* 1/6 (pow eps 2)) 1)) |
(+ (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/6 (pow eps 2)) 1))) |
(+ (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/6 (pow eps 2)) 1))) |
(+ (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/6 (pow eps 2)) 1))) |
(* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) |
(* x (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x))) |
(* x (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x))) |
(* x (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x))) |
(* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) |
(* -1 (* x (+ (* -1 (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x)) (* 1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))) |
(* -1 (* x (+ (* -1 (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x)) (* 1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))) |
(* -1 (* x (+ (* -1 (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x)) (* 1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))) |
(* -1 eps) |
(* eps (- (* 1/6 (pow eps 2)) 1)) |
(* eps (- (* 1/6 (pow eps 2)) 1)) |
(* eps (- (* 1/6 (pow eps 2)) 1)) |
(* 1/6 (pow eps 3)) |
(* (pow eps 3) (- 1/6 (/ 1 (pow eps 2)))) |
(* (pow eps 3) (- 1/6 (/ 1 (pow eps 2)))) |
(* (pow eps 3) (- 1/6 (/ 1 (pow eps 2)))) |
(* 1/6 (pow eps 3)) |
(* -1 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/6))) |
(* -1 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/6))) |
(* -1 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/6))) |
(* -1 (* eps (sin x))) |
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))) |
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (* eps (sin x))))))) |
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* eps (+ (* 1/24 (* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) (* 1/6 (sin x)))))))) |
(* 1/24 (* (pow eps 4) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
(* (pow eps 4) (+ (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (/ (sin x) eps)))) |
(* (pow eps 4) (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))) (+ (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (/ (sin x) eps))))) |
(* (pow eps 4) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))) (+ (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (/ (sin x) eps)))))) |
(* 1/24 (* (pow eps 4) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
(* (pow eps 4) (+ (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (/ (sin x) eps)))) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) eps))) eps)) (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) |
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) |
(+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) |
(+ (* x (+ (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/6 (pow eps 2)) 1)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) |
(+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (* -1/6 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) |
(* 1/24 (* (pow eps 2) (* (pow x 4) (- (* 1/24 (pow eps 2)) 1/2)))) |
(* (pow x 4) (+ (* -1/2 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (* 1/24 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))) |
(* (pow x 4) (+ (* -1/2 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) (pow x 4))))) |
(* (pow x 4) (+ (* -1/2 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) (pow x 4))))) |
(* 1/24 (* (pow eps 2) (* (pow x 4) (- (* 1/24 (pow eps 2)) 1/2)))) |
(* (pow x 4) (+ (* -1/2 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (* 1/24 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))) |
(* (pow x 4) (+ (* -1/2 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) (pow x 4))))) |
(* (pow x 4) (+ (* -1/2 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) (pow x 4))))) |
(* -1/2 (* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
(* eps (+ (* -1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/24 (* (pow eps 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))) |
(* eps (+ (* -1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/24 (* (pow eps 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))) |
(* eps (+ (* -1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/24 (* (pow eps 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))) |
(* 1/24 (* (pow eps 3) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
(* (pow eps 3) (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))) (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) |
(* (pow eps 3) (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))) (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) |
(* (pow eps 3) (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))) (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) |
(* 1/24 (* (pow eps 3) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
(* -1 (* (pow eps 3) (+ (* -1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2)))))) |
(* -1 (* (pow eps 3) (+ (* -1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2)))))) |
(* -1 (* (pow eps 3) (+ (* -1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2)))))) |
(* eps (- (* 1/24 (pow eps 2)) 1/2)) |
(+ (* -1/2 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/24 (pow eps 2)) 1/2))) |
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* (pow x 2) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/24 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))))) |
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* (pow x 2) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/24 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))))) |
(* 1/24 (* eps (* (pow x 4) (- (* 1/24 (pow eps 2)) 1/2)))) |
(* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))))) |
(* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 4))))) |
(* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 4))))) |
(* 1/24 (* eps (* (pow x 4) (- (* 1/24 (pow eps 2)) 1/2)))) |
(* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))))) |
(* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 4))))) |
(* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 4))))) |
(* eps (- (* 1/24 (pow eps 2)) 1/2)) |
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1))) |
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* -1/2 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/6 (pow eps 2))) 1))) |
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* -1/6 (* x (- (* 1/6 (pow eps 2)) 1)))))) 1))) |
(* 1/24 (* eps (* (pow x 4) (- (* 1/24 (pow eps 2)) 1/2)))) |
(* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))))) |
(* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 4)) (/ (* (sin x) (- (* 1/6 (pow eps 2)) 1)) (pow x 4)))))) |
(* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 4)) (/ (* (sin x) (- (* 1/6 (pow eps 2)) 1)) (pow x 4)))))) |
(* 1/24 (* eps (* (pow x 4) (- (* 1/24 (pow eps 2)) 1/2)))) |
(* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))))) |
(* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 4)) (/ (* (sin x) (- (* 1/6 (pow eps 2)) 1)) (pow x 4)))))) |
(* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 4)) (/ (* (sin x) (- (* 1/6 (pow eps 2)) 1)) (pow x 4)))))) |
(* -1 (sin x)) |
(+ (* -1 (sin x)) (* -1/2 (* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) |
(+ (* -1 (sin x)) (* eps (+ (* -1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (* eps (sin x)))))) |
(+ (* -1 (sin x)) (* eps (+ (* -1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* eps (+ (* 1/24 (* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) (* 1/6 (sin x))))))) |
(* 1/24 (* (pow eps 3) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
(* (pow eps 3) (+ (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (/ (sin x) eps)))) |
(* (pow eps 3) (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))) (+ (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (/ (sin x) eps))))) |
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))) (+ (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (/ (sin x) eps)))))) |
(* 1/24 (* (pow eps 3) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
(* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))) |
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))) |
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (/ (sin x) eps)) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))) |
(* -1/2 x) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))) |
| Outputs |
|---|
(* -1 (* eps (sin x))) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))) |
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))) |
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))) |
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))) |
(* 1/6 (* (pow eps 3) (sin x))) |
(*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps)))) |
(* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) |
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))) (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps)))) |
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))) (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps)))) |
(* 1/6 (* (pow eps 3) (sin x))) |
(*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps)))) |
(* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) |
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))) (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps)))) |
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))) (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps)))) |
(* -1/2 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) |
(+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1)))) |
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) |
(+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1))))) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) (*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))) |
(+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/6 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))) (* 1/4 (pow eps 2))))))) |
(fma.f64 x (fma.f64 x (*.f64 eps (fma.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64)))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))) |
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))) |
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))) |
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))) |
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))) |
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))) |
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))) |
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))) |
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))) |
(* -1/2 eps) |
(*.f64 eps #s(literal -1/2 binary64)) |
(+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) |
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(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
(* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 4)) (/ (* (sin x) (- (* 1/6 (pow eps 2)) 1)) (pow x 4)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (/.f64 eps (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 4)) (/ (* (sin x) (- (* 1/6 (pow eps 2)) 1)) (pow x 4)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (/.f64 eps (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* -1 (sin x)) |
(neg.f64 (sin.f64 x)) |
(+ (* -1 (sin x)) (* -1/2 (* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) |
(-.f64 (*.f64 eps (fma.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (sin.f64 x)) |
(+ (* -1 (sin x)) (* eps (+ (* -1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (* eps (sin x)))))) |
(fma.f64 eps (fma.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(+ (* -1 (sin x)) (* eps (+ (* -1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* eps (+ (* 1/24 (* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) (* 1/6 (sin x))))))) |
(fma.f64 eps (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (neg.f64 (sin.f64 x))) |
(* 1/24 (* (pow eps 3) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/24 binary64))) |
(* (pow eps 3) (+ (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (/ (sin x) eps)))) |
(*.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 (sin.f64 x) (/.f64 #s(literal 1/6 binary64) eps) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/24 binary64))))) |
(* (pow eps 3) (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))) (+ (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (/ (sin x) eps))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps))) |
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))) (+ (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (/ (sin x) eps)))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))) (*.f64 (/.f64 (sin.f64 x) eps) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps)))))) |
(* 1/24 (* (pow eps 3) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/24 binary64))) |
(* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))) |
(*.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 (sin.f64 x) (/.f64 #s(literal 1/6 binary64) eps) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/24 binary64))))) |
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))) |
(*.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (/.f64 (fma.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) eps)) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps)))) |
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (/ (sin x) eps)) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))) |
(*.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sin.f64 x) eps)) (neg.f64 eps))) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps)))) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
| 1× | egg-herbie |
| 2× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1566 | 41557 |
| 1 | 1567 | 41557 |
| 0 | 1567 | 41557 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(+.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) (/.f64 (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))) |
(fma.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(fma.f64 eps (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(fma.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(fma.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (sin.f64 x) eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps eps) (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 x) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(fma.f64 (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) eps (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) eps) (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 eps (sin.f64 x)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) |
(/.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))))) |
(/.f64 (*.f64 eps (-.f64 (*.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) eps) (fma.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) eps) (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) |
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(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) x)) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(+.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) (/.f64 (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))) |
(fma.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(fma.f64 eps (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(fma.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(fma.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (sin.f64 x) eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps eps) (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 x) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(fma.f64 (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) eps (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) eps) (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 eps (sin.f64 x)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) |
(/.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))))) |
(/.f64 (*.f64 eps (-.f64 (*.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) eps) (fma.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) eps) (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))) |
(/.f64 (neg.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 eps (-.f64 (*.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))) (neg.f64 (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) eps)) (neg.f64 (fma.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) eps)) (neg.f64 (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))))) |
(*.f64 eps (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) eps) |
(+.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(+.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))) (+.f64 (neg.f64 (sin.f64 x)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) |
(+.f64 (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))) (neg.f64 (sin.f64 x))) |
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) (/.f64 (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) (/.f64 (*.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) |
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(fma.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) (+.f64 (neg.f64 (sin.f64 x)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 eps eps) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) |
(fma.f64 (*.f64 eps eps) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) |
(fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (sin.f64 x) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
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(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)) x)) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/48 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) x)) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x) |
Compiled 15 824 to 478 computations (97% saved)
40 alts after pruning (30 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 749 | 19 | 768 |
| Fresh | 10 | 11 | 21 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 760 | 40 | 800 |
| Status | Accuracy | Program |
|---|---|---|
| 97.1% | (fma.f64 x (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) | |
| 97.0% | (fma.f64 x (neg.f64 eps) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) | |
| ✓ | 54.0% | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 52.2% | (-.f64 (cos.f64 x) #s(literal 1 binary64)) | |
| ✓ | 52.0% | (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
| 78.1% | (*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps)) | |
| ✓ | 78.0% | (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps)) |
| 78.0% | (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps x)) | |
| 3.9% | (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) | |
| 22.9% | (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps) (*.f64 (sin.f64 x) #s(literal -1/6 binary64))) eps))) | |
| 22.0% | (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))) (/.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) eps)) (/.f64 (sin.f64 x) (*.f64 eps (*.f64 eps eps))))) | |
| 77.3% | (*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (fma.f64 x #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps)))) | |
| 53.3% | (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) | |
| ✓ | 79.1% | (*.f64 (sin.f64 x) (neg.f64 eps)) |
| 31.2% | (*.f64 x (*.f64 (*.f64 x x) (-.f64 (*.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (*.f64 x x))))) | |
| ✓ | 78.0% | (*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
| 78.0% | (*.f64 x (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) | |
| 51.9% | (*.f64 x (*.f64 eps (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) | |
| 52.0% | (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps)))) | |
| ✓ | 78.0% | (*.f64 x (neg.f64 eps)) |
| 78.9% | (*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/24 binary64))))) | |
| 98.2% | (*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) | |
| 97.8% | (*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) | |
| 97.7% | (*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) | |
| ✓ | 97.8% | (*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
| ✓ | 99.7% | (*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
| 97.6% | (*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))) | |
| ✓ | 99.3% | (*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) |
| 98.2% | (*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) | |
| 97.2% | (*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal -1/6 binary64) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) | |
| 97.2% | (*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 eps #s(literal -1/2 binary64)))) | |
| 96.9% | (*.f64 eps (fma.f64 eps (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1/2 binary64)) (neg.f64 x))) | |
| 97.6% | (*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (sin.f64 x))) | |
| 96.9% | (*.f64 eps (-.f64 (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) x)) | |
| ✓ | 96.8% | (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x)) |
| 98.8% | (*.f64 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))) | |
| 96.8% | (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) | |
| 52.3% | (*.f64 eps (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/24 binary64))))) | |
| 46.1% | (*.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))) (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps))))) | |
| 53.2% | (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) |
Compiled 1 932 to 741 computations (61.6% saved)
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
(*.f64 x (neg.f64 eps)) |
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps)))) |
(*.f64 x (*.f64 eps (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(*.f64 eps (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps x)) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (neg.f64 eps)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) x)) |
(fma.f64 x (neg.f64 eps) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) #s(literal -1/2 binary64)) (neg.f64 x))) |
(*.f64 eps (fma.f64 eps (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1/2 binary64)) (neg.f64 x))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps)) |
(*.f64 x (*.f64 (*.f64 x x) (-.f64 (*.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (*.f64 x x))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps)) |
(*.f64 eps (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/24 binary64))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (fma.f64 x #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps)))) |
(fma.f64 x (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 eps (fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x x)) eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 eps #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
(fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 x #s(literal -1/2 binary64)))) |
(fma.f64 x (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)))) #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal -1/6 binary64) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) |
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x eps) (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/4 binary64)))) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(+.f64 (cos.f64 eps) #s(literal -1 binary64)) |
(-.f64 (cos.f64 x) #s(literal 1 binary64)) |
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64)) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (sin.f64 x))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x x)) eps)))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/24 binary64))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) |
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))) |
(*.f64 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) |
(*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) x))) (sin.f64 (neg.f64 x)))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
(*.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))) (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps))))) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))) (*.f64 (/.f64 (sin.f64 x) eps) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))))))) |
(-.f64 (fma.f64 (fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) (cos.f64 x)) |
(*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (sin.f64 (neg.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))) (*.f64 (/.f64 (sin.f64 x) eps) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps)))))) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))) (/.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) eps)) (/.f64 (sin.f64 x) (*.f64 eps (*.f64 eps eps))))) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps) (*.f64 (sin.f64 x) #s(literal -1/6 binary64))) eps))) |
| Outputs |
|---|
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
3 calls:
| 15.0ms | x |
| 15.0ms | eps |
| 14.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | eps |
| 99.7% | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
(*.f64 x (neg.f64 eps)) |
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps)))) |
(*.f64 x (*.f64 eps (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(*.f64 eps (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps x)) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (neg.f64 eps)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) x)) |
(fma.f64 x (neg.f64 eps) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) #s(literal -1/2 binary64)) (neg.f64 x))) |
(*.f64 eps (fma.f64 eps (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1/2 binary64)) (neg.f64 x))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps)) |
(*.f64 x (*.f64 (*.f64 x x) (-.f64 (*.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (*.f64 x x))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps)) |
(*.f64 eps (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/24 binary64))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (fma.f64 x #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps)))) |
(fma.f64 x (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 eps (fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x x)) eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 eps #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
(fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 x #s(literal -1/2 binary64)))) |
(fma.f64 x (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)))) #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal -1/6 binary64) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) |
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x eps) (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/4 binary64)))) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(+.f64 (cos.f64 eps) #s(literal -1 binary64)) |
(-.f64 (cos.f64 x) #s(literal 1 binary64)) |
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64)) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (sin.f64 x))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x x)) eps)))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/24 binary64))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) |
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))) |
(*.f64 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) |
(*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) x))) (sin.f64 (neg.f64 x)))) |
| Outputs |
|---|
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) |
3 calls:
| 14.0ms | x |
| 13.0ms | eps |
| 11.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | x |
| 99.3% | 1 | eps |
| 99.3% | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
(*.f64 x (neg.f64 eps)) |
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps)))) |
(*.f64 x (*.f64 eps (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(*.f64 eps (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps x)) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (neg.f64 eps)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) x)) |
(fma.f64 x (neg.f64 eps) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) #s(literal -1/2 binary64)) (neg.f64 x))) |
(*.f64 eps (fma.f64 eps (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1/2 binary64)) (neg.f64 x))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps)) |
(*.f64 x (*.f64 (*.f64 x x) (-.f64 (*.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (*.f64 x x))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps)) |
(*.f64 eps (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/24 binary64))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (fma.f64 x #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps)))) |
(fma.f64 x (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 eps (fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x x)) eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 eps #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
(fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 x #s(literal -1/2 binary64)))) |
(fma.f64 x (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)))) #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal -1/6 binary64) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) |
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x eps) (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/4 binary64)))) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(+.f64 (cos.f64 eps) #s(literal -1 binary64)) |
(-.f64 (cos.f64 x) #s(literal 1 binary64)) |
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64)) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (sin.f64 x))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x x)) eps)))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/24 binary64))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) |
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))) |
(*.f64 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
| Outputs |
|---|
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
3 calls:
| 14.0ms | x |
| 13.0ms | eps |
| 10.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | x |
| 99.3% | 1 | eps |
| 99.3% | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
(*.f64 x (neg.f64 eps)) |
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps)))) |
(*.f64 x (*.f64 eps (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(*.f64 eps (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps x)) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (neg.f64 eps)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) x)) |
(fma.f64 x (neg.f64 eps) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) #s(literal -1/2 binary64)) (neg.f64 x))) |
(*.f64 eps (fma.f64 eps (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1/2 binary64)) (neg.f64 x))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps)) |
(*.f64 x (*.f64 (*.f64 x x) (-.f64 (*.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (*.f64 x x))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps)) |
(*.f64 eps (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/24 binary64))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (fma.f64 x #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps)))) |
(fma.f64 x (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 eps (fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x x)) eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 eps #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
(fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 x #s(literal -1/2 binary64)))) |
(fma.f64 x (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)))) #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal -1/6 binary64) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) |
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x eps) (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/4 binary64)))) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(+.f64 (cos.f64 eps) #s(literal -1 binary64)) |
(-.f64 (cos.f64 x) #s(literal 1 binary64)) |
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64)) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (sin.f64 x))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x x)) eps)))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/24 binary64))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) |
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))) |
(*.f64 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))) |
| Outputs |
|---|
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))) |
3 calls:
| 17.0ms | x |
| 13.0ms | eps |
| 10.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 1 | x |
| 98.8% | 1 | eps |
| 98.8% | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
(*.f64 x (neg.f64 eps)) |
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps)))) |
(*.f64 x (*.f64 eps (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(*.f64 eps (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps x)) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (neg.f64 eps)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) x)) |
(fma.f64 x (neg.f64 eps) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) #s(literal -1/2 binary64)) (neg.f64 x))) |
(*.f64 eps (fma.f64 eps (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1/2 binary64)) (neg.f64 x))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps)) |
(*.f64 x (*.f64 (*.f64 x x) (-.f64 (*.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (*.f64 x x))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps)) |
(*.f64 eps (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/24 binary64))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (fma.f64 x #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps)))) |
(fma.f64 x (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 eps (fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x x)) eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 eps #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
(fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 x #s(literal -1/2 binary64)))) |
(fma.f64 x (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)))) #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal -1/6 binary64) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) |
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x eps) (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/4 binary64)))) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(+.f64 (cos.f64 eps) #s(literal -1 binary64)) |
(-.f64 (cos.f64 x) #s(literal 1 binary64)) |
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64)) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (sin.f64 x))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x x)) eps)))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/24 binary64))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) |
3 calls:
| 12.0ms | x |
| 12.0ms | eps |
| 10.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 1 | x |
| 98.2% | 1 | eps |
| 98.2% | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
(*.f64 x (neg.f64 eps)) |
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps)))) |
(*.f64 x (*.f64 eps (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(*.f64 eps (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps x)) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (neg.f64 eps)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) x)) |
(fma.f64 x (neg.f64 eps) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) #s(literal -1/2 binary64)) (neg.f64 x))) |
(*.f64 eps (fma.f64 eps (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1/2 binary64)) (neg.f64 x))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps)) |
(*.f64 x (*.f64 (*.f64 x x) (-.f64 (*.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (*.f64 x x))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps)) |
(*.f64 eps (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/24 binary64))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (fma.f64 x #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps)))) |
(fma.f64 x (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 eps (fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x x)) eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 eps #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
(fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 x #s(literal -1/2 binary64)))) |
(fma.f64 x (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)))) #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal -1/6 binary64) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) |
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x eps) (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/4 binary64)))) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(+.f64 (cos.f64 eps) #s(literal -1 binary64)) |
(-.f64 (cos.f64 x) #s(literal 1 binary64)) |
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64)) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) |
3 calls:
| 12.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 10.0ms | x |
| 10.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 1 | x |
| 98.2% | 1 | eps |
| 98.2% | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
(*.f64 x (neg.f64 eps)) |
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps)))) |
(*.f64 x (*.f64 eps (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(*.f64 eps (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps x)) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (neg.f64 eps)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) x)) |
(fma.f64 x (neg.f64 eps) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) #s(literal -1/2 binary64)) (neg.f64 x))) |
(*.f64 eps (fma.f64 eps (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1/2 binary64)) (neg.f64 x))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps)) |
(*.f64 x (*.f64 (*.f64 x x) (-.f64 (*.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (*.f64 x x))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps)) |
(*.f64 eps (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/24 binary64))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (fma.f64 x #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps)))) |
(fma.f64 x (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 eps (fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x x)) eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 eps #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
(fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 x #s(literal -1/2 binary64)))) |
(fma.f64 x (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)))) #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal -1/6 binary64) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) |
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x eps) (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/4 binary64)))) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(+.f64 (cos.f64 eps) #s(literal -1 binary64)) |
(-.f64 (cos.f64 x) #s(literal 1 binary64)) |
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64)) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x eps) (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/4 binary64)))) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
3 calls:
| 11.0ms | x |
| 9.0ms | eps |
| 8.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 97.4% | 1 | x |
| 97.4% | 1 | eps |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
(*.f64 x (neg.f64 eps)) |
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps)))) |
(*.f64 x (*.f64 eps (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(*.f64 eps (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps x)) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (neg.f64 eps)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) x)) |
(fma.f64 x (neg.f64 eps) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) #s(literal -1/2 binary64)) (neg.f64 x))) |
(*.f64 eps (fma.f64 eps (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1/2 binary64)) (neg.f64 x))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps)) |
(*.f64 x (*.f64 (*.f64 x x) (-.f64 (*.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (*.f64 x x))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps)) |
(*.f64 eps (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/24 binary64))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (fma.f64 x #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps)))) |
(fma.f64 x (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 eps (fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x x)) eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 eps #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
(fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 x #s(literal -1/2 binary64)))) |
(fma.f64 x (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)))) #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal -1/6 binary64) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) |
| Outputs |
|---|
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)))) #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) |
3 calls:
| 9.0ms | eps |
| 8.0ms | x |
| 6.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 1 | x |
| 97.2% | 1 | eps |
| 97.2% | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
(*.f64 x (neg.f64 eps)) |
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps)))) |
(*.f64 x (*.f64 eps (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(*.f64 eps (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps x)) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (neg.f64 eps)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) x)) |
(fma.f64 x (neg.f64 eps) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) #s(literal -1/2 binary64)) (neg.f64 x))) |
(*.f64 eps (fma.f64 eps (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1/2 binary64)) (neg.f64 x))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps)) |
(*.f64 x (*.f64 (*.f64 x x) (-.f64 (*.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (*.f64 x x))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps)) |
(*.f64 eps (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/24 binary64))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (fma.f64 x #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps)))) |
(fma.f64 x (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 eps (fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x x)) eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 eps #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
(fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 x #s(literal -1/2 binary64)))) |
(fma.f64 x (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
| Outputs |
|---|
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 eps #s(literal -1/2 binary64)))) |
3 calls:
| 7.0ms | x |
| 7.0ms | eps |
| 6.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 1 | x |
| 97.2% | 1 | eps |
| 97.2% | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
(*.f64 x (neg.f64 eps)) |
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps)))) |
(*.f64 x (*.f64 eps (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(*.f64 eps (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps x)) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (neg.f64 eps)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) x)) |
(fma.f64 x (neg.f64 eps) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) #s(literal -1/2 binary64)) (neg.f64 x))) |
(*.f64 eps (fma.f64 eps (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1/2 binary64)) (neg.f64 x))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps)) |
(*.f64 x (*.f64 (*.f64 x x) (-.f64 (*.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (*.f64 x x))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps)) |
(*.f64 eps (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/24 binary64))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (fma.f64 x #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps)))) |
(fma.f64 x (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 eps (fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x x)) eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
| Outputs |
|---|
(fma.f64 x (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
3 calls:
| 6.0ms | x |
| 6.0ms | eps |
| 5.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 1 | eps |
| 97.1% | 1 | x |
| 97.1% | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
(*.f64 x (neg.f64 eps)) |
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps)))) |
(*.f64 x (*.f64 eps (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(*.f64 eps (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps x)) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (neg.f64 eps)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) x)) |
(fma.f64 x (neg.f64 eps) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) #s(literal -1/2 binary64)) (neg.f64 x))) |
(*.f64 eps (fma.f64 eps (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1/2 binary64)) (neg.f64 x))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps)) |
(*.f64 x (*.f64 (*.f64 x x) (-.f64 (*.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (*.f64 x x))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps)) |
(*.f64 eps (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/24 binary64))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (fma.f64 x #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps)))) |
| Outputs |
|---|
(fma.f64 x (neg.f64 eps) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
3 calls:
| 7.0ms | eps |
| 6.0ms | x |
| 5.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 1 | x |
| 97.0% | 1 | eps |
| 97.0% | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
(*.f64 x (neg.f64 eps)) |
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps)))) |
(*.f64 x (*.f64 eps (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(*.f64 eps (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps x)) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (neg.f64 eps)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) x)) |
| Outputs |
|---|
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) x)) |
3 calls:
| 4.0ms | x |
| 4.0ms | eps |
| 3.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 1 | x |
| 96.9% | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 96.9% | 1 | eps |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
(*.f64 x (neg.f64 eps)) |
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps)))) |
(*.f64 x (*.f64 eps (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(*.f64 eps (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps x)) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (neg.f64 eps)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x)) |
| Outputs |
|---|
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x)) |
3 calls:
| 4.0ms | x |
| 4.0ms | eps |
| 3.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 1 | x |
| 96.8% | 1 | eps |
| 96.8% | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
(*.f64 x (neg.f64 eps)) |
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps)))) |
(*.f64 x (*.f64 eps (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(*.f64 eps (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps x)) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (neg.f64 eps)) |
| Outputs |
|---|
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
3 calls:
| 4.0ms | x |
| 4.0ms | eps |
| 3.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 1 | eps |
| 96.8% | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 96.8% | 1 | x |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
(*.f64 x (neg.f64 eps)) |
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) |
| Outputs |
|---|
(*.f64 x (neg.f64 eps)) |
3 calls:
| 2.0ms | eps |
| 2.0ms | x |
| 1.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.0% | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 78.0% | 1 | x |
| 78.0% | 1 | eps |
Compiled 15 to 10 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
3 calls:
| 1.0ms | x |
| 1.0ms | eps |
| 1.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.0% | 1 | x |
| 52.0% | 1 | eps |
| 52.0% | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 15 to 10 computations (33.3% saved)
| 1× | egg-herbie |
| 80× | *-commutative_binary64 |
| 18× | +-commutative_binary64 |
| 16× | sub-neg_binary64 |
| 8× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 287 |
| 1 | 132 | 287 |
| 2 | 146 | 287 |
| 3 | 153 | 287 |
| 4 | 156 | 287 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) |
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x eps) (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/4 binary64)))) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)))) #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 eps #s(literal -1/2 binary64)))) |
(fma.f64 x (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(fma.f64 x (neg.f64 eps) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) x)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x)) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
(*.f64 x (neg.f64 eps)) |
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
| Outputs |
|---|
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) |
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x eps) (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/4 binary64)))) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps x) (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/4 binary64)))) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)))) #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)))) #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 eps #s(literal -1/2 binary64)))) |
(fma.f64 x (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(fma.f64 x (neg.f64 eps) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) x)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps x) #s(literal -1/2 binary64))) x)) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
(*.f64 x (neg.f64 eps)) |
(neg.f64 (*.f64 eps x)) |
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) #s(literal 1 binary64)) |
| 14 398× | lower-fma.f64 |
| 14 398× | lower-fma.f32 |
| 14 158× | lower-fma.f64 |
| 14 158× | lower-fma.f32 |
| 13 190× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 514 | 6052 |
| 1 | 1715 | 5861 |
| 2 | 5721 | 5375 |
| 0 | 8260 | 4938 |
| 0 | 320 | 3280 |
| 1 | 980 | 3176 |
| 2 | 3109 | 3061 |
| 0 | 8092 | 2858 |
| 0 | 343 | 2435 |
| 1 | 1020 | 2379 |
| 2 | 2772 | 2346 |
| 3 | 7232 | 2346 |
| 0 | 8427 | 2178 |
| 0 | 105 | 498 |
| 1 | 277 | 495 |
| 2 | 609 | 495 |
| 3 | 2401 | 494 |
| 4 | 7937 | 494 |
| 0 | 8087 | 474 |
| 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 |
Compiled 476 to 223 computations (53.2% saved)
Compiled 664 to 228 computations (65.7% saved)
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