
Time bar (total: 16.6s)
| 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% | 74.7% | 0% | 0% | 0% | 3 |
| 0% | 0% | 25.3% | 74.7% | 0% | 0% | 0% | 4 |
| 0% | 0% | 19% | 81% | 0% | 0% | 0% | 5 |
| 0% | 0% | 15.8% | 84.2% | 0% | 0% | 0% | 6 |
| 0% | 0% | 11.1% | 88.9% | 0% | 0% | 0% | 7 |
| 0% | 0% | 8.7% | 91.3% | 0% | 0% | 0% | 8 |
| 0% | 0% | 5.9% | 94.1% | 0% | 0% | 0% | 9 |
| 0% | 0% | 4.5% | 95.5% | 0% | 0% | 0% | 10 |
| 0% | 0% | 3.1% | 96.9% | 0% | 0% | 0% | 11 |
| 0% | 0% | 2.7% | 97.3% | 0% | 0% | 0% | 12 |
Compiled 28 to 18 computations (35.7% saved)
ival-cos: 9.0ms (25.2% of total)...c/correct-round.rkt:119:19: 7.0ms (19.6% of total)ival-add: 4.0ms (11.2% of total)ival-<: 4.0ms (11.2% of total)ival-mult: 3.0ms (8.4% of total)ival-fabs: 3.0ms (8.4% of total)ival-<=: 3.0ms (8.4% of total)ival-sub: 2.0ms (5.6% of total)ival-and: 1.0ms (2.8% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 3.5s | 26295× | 0 | precondition |
| 3.2s | 5718× | 2 | valid |
| 681.0ms | 2458× | 1 | valid |
| 16.0ms | 80× | 0 | valid |
ival-cos: 2.2s (39% of total)...c/correct-round.rkt:119:19: 869.0ms (15.2% of total)ival-<: 438.0ms (7.7% of total)ival-mult: 384.0ms (6.7% of total)ival-<=: 362.0ms (6.3% of total)ival-add: 336.0ms (5.9% of total)ival-sub: 323.0ms (5.7% of total)ival-fabs: 309.0ms (5.4% of total)backward-pass: 264.0ms (4.6% of total)ival-and: 148.0ms (2.6% of total)const: 50.0ms (0.9% of total)| 2× | egg-herbie |
| 414× | fnmadd-define |
| 382× | sum3-define |
| 370× | fmsub-define |
| 356× | fnmsub-define |
| 316× | fmm-def |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 48 |
| 1 | 43 | 44 |
| 2 | 89 | 42 |
| 3 | 178 | 42 |
| 4 | 438 | 42 |
| 5 | 863 | 42 |
| 6 | 1279 | 42 |
| 7 | 1611 | 42 |
| 8 | 1749 | 42 |
| 9 | 1832 | 42 |
| 10 | 1850 | 42 |
| 0 | 6 | 7 |
| 1 | 9 | 7 |
| 2 | 14 | 7 |
| 3 | 21 | 7 |
| 4 | 31 | 7 |
| 5 | 63 | 7 |
| 6 | 122 | 7 |
| 7 | 210 | 7 |
| 8 | 295 | 7 |
| 9 | 401 | 7 |
| 10 | 479 | 7 |
| 11 | 485 | 7 |
| 0 | 485 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(- (cos (+ x eps)) (cos x)) |
| Outputs |
|---|
(- (cos (+ x eps)) (cos x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Inputs |
|---|
(- (cos (+ x eps)) (cos x)) |
(- (cos (+ (neg x) eps)) (cos (neg x))) |
(- (cos (+ x (neg eps))) (cos x)) |
(neg (- (cos (+ (neg x) eps)) (cos (neg x)))) |
(neg (- (cos (+ x (neg eps))) (cos x))) |
(- (cos (+ eps x)) (cos eps)) |
| Outputs |
|---|
(- (cos (+ x eps)) (cos x)) |
(- (cos (+ (neg x) eps)) (cos (neg x))) |
(- (cos (- eps x)) (cos x)) |
(- (cos (+ x (neg eps))) (cos x)) |
(- (cos (- eps x)) (cos x)) |
(neg (- (cos (+ (neg x) eps)) (cos (neg x)))) |
(- (cos x) (cos (- eps x))) |
(neg (- (cos (+ x (neg eps))) (cos x))) |
(- (cos x) (cos (- eps x))) |
(- (cos (+ eps x)) (cos eps)) |
(- (cos (+ x eps)) (cos eps)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 125 | 0 | - | 0 | - | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 3 | 0 | - | 2 | (4.009635370991742 0.6432748087946674) | (cos.f64 (+.f64 x eps)) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (+.f64 x eps) |
| 0 | 0 | - | 0 | - | (cos.f64 x) |
| 0 | 0 | - | 0 | - | eps |
| 175.0ms | 368× | 2 | valid |
| 21.0ms | 132× | 1 | valid |
| 7.0ms | 12× | 0 | valid |
Compiled 51 to 20 computations (60.8% saved)
ival-cos: 102.0ms (67.7% of total)ival-sub: 20.0ms (13.3% of total)backward-pass: 15.0ms (10% of total)ival-add: 13.0ms (8.6% of total)const: 1.0ms (0.7% of total)Compiled 9 to 6 computations (33.3% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 56.3% | (-.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)) |
| 124× | fnmadd-define |
| 122× | sum3-define |
| 80× | fma-lowering-fma.f32 |
| 80× | fnmsub-define |
| 80× | fmsub-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 1 | 9 | 18 |
| 2 | 14 | 18 |
| 3 | 21 | 18 |
| 4 | 31 | 18 |
| 5 | 63 | 18 |
| 6 | 122 | 18 |
| 7 | 210 | 18 |
| 8 | 295 | 18 |
| 9 | 401 | 18 |
| 10 | 479 | 18 |
| 11 | 485 | 18 |
| 0 | 485 | 18 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- (cos (+ x eps)) (cos x)) |
(cos (+ x eps)) |
(+ x eps) |
x |
eps |
(cos x) |
| Outputs |
|---|
(- (cos (+ x eps)) (cos x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(cos (+ x eps)) |
(cos.f64 (+.f64 x eps)) |
(+ x eps) |
(+.f64 x eps) |
x |
eps |
(cos x) |
(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 | 56.5% | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 78.0ms | 184× | 2 | valid |
| 11.0ms | 66× | 1 | valid |
| 1.0ms | 6× | 0 | valid |
Compiled 21 to 7 computations (66.7% saved)
ival-cos: 51.0ms (77.6% of total)backward-pass: 7.0ms (10.6% of total)ival-add: 4.0ms (6.1% of total)ival-sub: 4.0ms (6.1% of total)const: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (cos (+ x eps)) (cos x))> |
#<alt (cos (+ x eps))> |
#<alt (+ x eps)> |
#<alt (cos x)> |
| 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 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)))> |
#<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)> |
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 |
| 2774× | *-lowering-*.f32 |
| 2774× | *-lowering-*.f64 |
| 2148× | /-lowering-/.f32 |
| 2148× | /-lowering-/.f64 |
| 1850× | sum5-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 1 | 50 | 16 |
| 2 | 412 | 16 |
| 3 | 5247 | 16 |
| 0 | 8061 | 16 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (cos (+ x eps)) (cos x)) |
(cos (+ x eps)) |
(+ x eps) |
(cos x) |
| Outputs |
|---|
(+.f64 (cos.f64 (+.f64 x eps)) (-.f64 #s(literal 0 binary64) (cos.f64 x))) |
(+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (+.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (sin.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 #s(literal 0 binary64) (cos.f64 x)))) |
(+.f64 (cos.f64 (+.f64 x eps)) (-.f64 (+.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (sin.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))) |
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (sin.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))) |
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (sin.f64 eps))) (-.f64 #s(literal 0 binary64) (cos.f64 x)))) |
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (sin.f64 eps))) (cos.f64 x))) |
(+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (cos.f64 (+.f64 x eps))) |
(+.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 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)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))))) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) |
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) |
(+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (sin.f64 eps)))) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))))) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))))) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) |
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) |
(-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(-.f64 (+.f64 (-.f64 #s(literal 0 binary64) (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 x) (cos.f64 eps) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))) |
(fma.f64 #s(literal -1 binary64) (cos.f64 x) (cos.f64 (+.f64 x eps))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))))) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) |
(neg.f64 (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))))) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 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))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))))) (*.f64 (cos.f64 x) (+.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))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (-.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (cos.f64 (+.f64 x eps)))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))))) (neg.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) |
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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) (-.f64 #s(literal 0 binary64) (sin.f64 eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (sin.f64 eps))) (*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (sin.f64 eps)))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (sin.f64 eps))))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))))) (*.f64 (+.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (sin.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps))) (+.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (sin.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps))))) (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (sin.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (sin.f64 eps))) (*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (sin.f64 eps))))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (sin.f64 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 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (*.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 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))) |
(neg.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x)))))) |
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (-.f64 #s(literal 0 binary64) (-.f64 x eps)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 eps eps))) (-.f64 x eps))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (-.f64 x eps)) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 eps eps))) (-.f64 #s(literal 0 binary64) (-.f64 x eps))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) (*.f64 (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.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 eps eps) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)))) |
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (-.f64 eps x)) |
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps)))) (*.f64 (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))))) |
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps)))) (*.f64 (-.f64 x eps) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 eps eps) (+.f64 (*.f64 x x) (*.f64 eps eps)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (-.f64 x eps) (+.f64 (*.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 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 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 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))) |
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))) |
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 eps eps) (+.f64 (*.f64 x x) (*.f64 eps eps)))) (-.f64 x eps))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) (*.f64 eps eps)) (-.f64 x eps))) |
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) #s(literal 1 binary64)) (-.f64 x eps)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 eps eps)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 x eps)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 x x))) (neg.f64 (-.f64 eps x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.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 (*.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)))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps)))) |
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 eps eps) (+.f64 (*.f64 x x) (*.f64 eps eps))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (+.f64 (*.f64 x x) (*.f64 eps eps))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #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 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))) |
(*.f64 (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))) (*.f64 (+.f64 x eps) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x)))))) |
(*.f64 (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))) (/.f64 (+.f64 x eps) (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x eps)))) |
(*.f64 #s(literal 1 binary64) (+.f64 x eps)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x)))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (-.f64 (*.f64 x x) (*.f64 eps eps))) |
(*.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 eps x))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (-.f64 (*.f64 x x) (*.f64 eps eps))) (+.f64 x eps)) |
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (-.f64 eps x)) (*.f64 (*.f64 eps (-.f64 eps x)) (*.f64 eps (-.f64 eps x)))))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 eps (-.f64 eps x)) (-.f64 (*.f64 eps (-.f64 eps x)) (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 eps (-.f64 eps x)) (*.f64 eps (-.f64 eps x))))) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 x x) (*.f64 eps (+.f64 x eps)))) |
(cos.f64 x) |
| 1× | egg-herbie |
| 3196× | *-lowering-*.f32 |
| 3196× | *-lowering-*.f64 |
| 1368× | fnmadd-define |
| 1248× | neg-lowering-neg.f64 |
| 1248× | neg-lowering-neg.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 481 |
| 1 | 304 | 458 |
| 2 | 777 | 457 |
| 3 | 2938 | 457 |
| 0 | 8476 | 457 |
| 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))) |
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))) |
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) |
| Outputs |
|---|
(- (cos eps) 1) |
(+.f64 (cos.f64 eps) #s(literal -1 binary64)) |
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1) |
(-.f64 (cos.f64 eps) (+.f64 (*.f64 x (sin.f64 eps)) #s(literal 1 binary64))) |
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1) |
(+.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 eps) #s(literal -1/2 binary64)))) (sin.f64 eps)))) |
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1) |
(+.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 eps) #s(literal -1/2 binary64)))) (*.f64 (sin.f64 eps) (+.f64 (*.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 #s(literal 0 binary64) (*.f64 eps (sin.f64 x))) |
(* eps (- (* -1/2 (* eps (cos x))) (sin x))) |
(*.f64 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))) |
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) |
(*.f64 eps (+.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.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 (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.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)))) |
(+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 (cos.f64 eps) (*.f64 x #s(literal -1/2 binary64))) (sin.f64 eps)))) |
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps)))) |
(+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 (cos.f64 eps) (*.f64 x #s(literal -1/2 binary64))) (*.f64 (sin.f64 eps) (+.f64 (*.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 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))) |
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) |
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.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)) |
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 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
Compiled 6681 to 740 computations (88.9% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 250 | 7 | 257 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 250 | 8 | 258 |
| Status | Accuracy | Program |
|---|---|---|
| 56.5% | (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) | |
| ✓ | 56.3% | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| ▶ | 80.9% | (-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x))) |
| ▶ | 54.1% | (+.f64 (cos.f64 eps) #s(literal -1 binary64)) |
| ▶ | 99.6% | (*.f64 (*.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
| 99.5% | (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x))) | |
| ▶ | 99.2% | (*.f64 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))) |
| ▶ | 99.5% | (*.f64 eps (+.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64))))) |
Compiled 229 to 158 computations (31% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) |
| ✓ | cost-diff | 0 | (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 eps (+.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) |
| ✓ | cost-diff | 0 | (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)) |
| ✓ | cost-diff | 0 | (*.f64 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))) |
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 eps (sin.f64 x)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x))) |
| ✓ | cost-diff | 0 | (cos.f64 eps) |
| ✓ | cost-diff | 0 | (+.f64 (cos.f64 eps) #s(literal -1 binary64)) |
| ✓ | cost-diff | 128 | (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 128 | (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) |
| ✓ | cost-diff | 128 | (*.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 128 | (*.f64 (*.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
| 1858× | fmsub-define |
| 1832× | sum3-define |
| 1732× | fma-define |
| 1708× | sum5-define |
| 1600× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 195 |
| 1 | 79 | 185 |
| 2 | 251 | 185 |
| 3 | 1098 | 185 |
| 4 | 2608 | 185 |
| 5 | 3478 | 185 |
| 6 | 6225 | 185 |
| 0 | 8013 | 185 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* (sin (/ (+ eps 0) 2)) (sin (/ (+ eps (* x 2)) 2))) -2) |
(* (sin (/ (+ eps 0) 2)) (sin (/ (+ eps (* x 2)) 2))) |
(sin (/ (+ eps 0) 2)) |
(/ (+ eps 0) 2) |
(+ eps 0) |
eps |
0 |
2 |
(sin (/ (+ eps (* x 2)) 2)) |
(/ (+ eps (* x 2)) 2) |
(+ eps (* x 2)) |
(* x 2) |
x |
-2 |
(+ (cos eps) -1) |
(cos eps) |
eps |
-1 |
(- 0 (* eps (sin x))) |
0 |
(* eps (sin x)) |
eps |
(sin x) |
x |
(* eps (- (* eps (* -1/2 (cos x))) (sin x))) |
eps |
(- (* eps (* -1/2 (cos x))) (sin x)) |
(* eps (* -1/2 (cos x))) |
(* -1/2 (cos x)) |
-1/2 |
(cos x) |
x |
(sin x) |
(* eps (+ (* eps (* -1/2 (cos x))) (* (sin x) (+ (* eps (* eps 1/6)) -1)))) |
eps |
(+ (* eps (* -1/2 (cos x))) (* (sin x) (+ (* eps (* eps 1/6)) -1))) |
(* eps (* -1/2 (cos x))) |
(* -1/2 (cos x)) |
-1/2 |
(cos x) |
x |
(* (sin x) (+ (* eps (* eps 1/6)) -1)) |
(sin x) |
(+ (* eps (* eps 1/6)) -1) |
(* eps (* eps 1/6)) |
(* eps 1/6) |
1/6 |
-1 |
| Outputs |
|---|
(* (* (sin (/ (+ eps 0) 2)) (sin (/ (+ eps (* x 2)) 2))) -2) |
(*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) #s(literal -2 binary64))) |
(* (sin (/ (+ eps 0) 2)) (sin (/ (+ eps (* x 2)) 2))) |
(*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) |
(sin (/ (+ eps 0) 2)) |
(sin.f64 (/.f64 eps #s(literal 2 binary64))) |
(/ (+ eps 0) 2) |
(/.f64 eps #s(literal 2 binary64)) |
(+ eps 0) |
eps |
eps |
0 |
#s(literal 0 binary64) |
2 |
#s(literal 2 binary64) |
(sin (/ (+ eps (* x 2)) 2)) |
(sin.f64 (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) |
(/ (+ eps (* x 2)) 2) |
(/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) |
(+ eps (* x 2)) |
(+.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* x 2) |
(*.f64 #s(literal 2 binary64) x) |
x |
-2 |
#s(literal -2 binary64) |
(+ (cos eps) -1) |
(+.f64 (cos.f64 eps) #s(literal -1 binary64)) |
(cos eps) |
(cos.f64 eps) |
eps |
-1 |
#s(literal -1 binary64) |
(- 0 (* eps (sin x))) |
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x))) |
0 |
#s(literal 0 binary64) |
(* eps (sin x)) |
(*.f64 eps (sin.f64 x)) |
eps |
(sin x) |
(sin.f64 x) |
x |
(* eps (- (* eps (* -1/2 (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))) (sin x)) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)) |
(* eps (* -1/2 (cos x))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) |
(* -1/2 (cos x)) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 x)) |
-1/2 |
#s(literal -1/2 binary64) |
(cos x) |
(cos.f64 x) |
x |
(sin x) |
(sin.f64 x) |
(* eps (+ (* eps (* -1/2 (cos x))) (* (sin x) (+ (* eps (* eps 1/6)) -1)))) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))) |
eps |
(+ (* eps (* -1/2 (cos x))) (* (sin x) (+ (* eps (* eps 1/6)) -1))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64)))))) |
(* eps (* -1/2 (cos x))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) |
(* -1/2 (cos x)) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 x)) |
-1/2 |
#s(literal -1/2 binary64) |
(cos x) |
(cos.f64 x) |
x |
(* (sin x) (+ (* eps (* eps 1/6)) -1)) |
(*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))) |
(sin x) |
(sin.f64 x) |
(+ (* eps (* eps 1/6)) -1) |
(+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64)))) |
(* eps (* eps 1/6)) |
(*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) |
(* eps 1/6) |
(*.f64 eps #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
-1 |
#s(literal -1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (+.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))) |
| ✓ | accuracy | 99.9% | (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 eps (+.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64))))) |
| ✓ | accuracy | 99.5% | (*.f64 eps #s(literal 1/6 binary64)) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 100.0% | (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)) |
| ✓ | accuracy | 99.8% | (*.f64 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x))) |
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 100.0% | (*.f64 eps (sin.f64 x)) |
| ✓ | accuracy | 100.0% | (cos.f64 eps) |
| ✓ | accuracy | 55.8% | (+.f64 (cos.f64 eps) #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
| ✓ | accuracy | 99.8% | (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) |
| 225.0ms | 251× | 1 | valid |
| 9.0ms | 3× | 3 | valid |
| 1.0ms | 1× | 2 | valid |
| 0.0ms | 1× | 0 | valid |
Compiled 217 to 34 computations (84.3% saved)
ival-mult: 38.0ms (28.9% of total)backward-pass: 21.0ms (16% of total)ival-sin: 16.0ms (12.2% of total)ival-cos: 13.0ms (9.9% of total)ival-add: 13.0ms (9.9% of total)ival-div: 11.0ms (8.4% of total)ival-sub: 10.0ms (7.6% of total)...c/correct-round.rkt:119:19: 8.0ms (6.1% of total)const: 2.0ms (1.5% of total)| Inputs |
|---|
#<alt (* (* (sin (/ (+ eps 0) 2)) (sin (/ (+ eps (* x 2)) 2))) -2)> |
#<alt (* (sin (/ (+ eps 0) 2)) (sin (/ (+ eps (* x 2)) 2)))> |
#<alt (sin (/ (+ eps 0) 2))> |
#<alt (/ (+ eps 0) 2)> |
#<alt (+ (cos eps) -1)> |
#<alt (cos eps)> |
#<alt (- 0 (* eps (sin x)))> |
#<alt (* eps (sin x))> |
#<alt (sin x)> |
#<alt (* eps (- (* eps (* -1/2 (cos x))) (sin x)))> |
#<alt (- (* eps (* -1/2 (cos x))) (sin x))> |
#<alt (* eps (* -1/2 (cos x)))> |
#<alt (* -1/2 (cos x))> |
#<alt (* eps (+ (* eps (* -1/2 (cos x))) (* (sin x) (+ (* eps (* eps 1/6)) -1))))> |
#<alt (+ (* eps (* -1/2 (cos x))) (* (sin x) (+ (* eps (* eps 1/6)) -1)))> |
#<alt (sin (/ (+ eps (* x 2)) 2))> |
#<alt (cos x)> |
#<alt (* eps 1/6)> |
#<alt (* eps (* eps 1/6))> |
| Outputs |
|---|
#<alt (* -1 (* eps (sin x)))> |
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))> |
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))> |
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))> |
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))> |
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))> |
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))> |
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))> |
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))> |
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#<alt (+ (* x (+ (* x (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* -1/6 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))> |
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#<alt (* 1/2 eps)> |
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#<alt (* 1/2 eps)> |
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#<alt (* 1/2 eps)> |
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#<alt (* 1/2 eps)> |
#<alt (* 1/2 eps)> |
#<alt (* 1/2 eps)> |
#<alt (* 1/2 eps)> |
#<alt (* 1/2 eps)> |
#<alt (* 1/2 eps)> |
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#<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> |
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#<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)> |
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#<alt (* eps x)> |
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#<alt (* eps (sin x))> |
#<alt (* eps (sin x))> |
#<alt (* eps (sin x))> |
#<alt (* eps (sin x))> |
#<alt (* eps (sin x))> |
#<alt (* eps (sin x))> |
#<alt (* eps (sin x))> |
#<alt x> |
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#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (* -1 (* eps (sin x)))> |
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#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))> |
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#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))> |
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))> |
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#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))> |
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#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))> |
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#<alt (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))> |
#<alt (* -1/2 eps)> |
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#<alt (* -1/2 (* eps (cos x)))> |
#<alt (* -1/2 (* eps (cos x)))> |
#<alt (* -1/2 eps)> |
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#<alt (* -1/2 (* eps (cos x)))> |
#<alt (* -1/2 (* eps (cos x)))> |
#<alt (* -1/2 (* eps (cos x)))> |
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#<alt (* -1/2 (* eps (cos x)))> |
#<alt (* -1/2 (* eps (cos x)))> |
#<alt (* -1/2 (* eps (cos x)))> |
#<alt -1/2> |
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#<alt (* -1/2 (cos x))> |
#<alt (* -1/2 (cos x))> |
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#<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))> |
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#<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))))> |
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#<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))))> |
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#<alt (* -1 (sin x))> |
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#<alt (* 1/6 (* (pow eps 2) (sin x)))> |
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#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))> |
#<alt (* -1/2 eps)> |
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#<alt (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))> |
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#<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 (sin x)> |
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#<alt (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))> |
#<alt (+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))> |
#<alt (sin (* 1/2 (+ eps (* 2 x))))> |
#<alt (sin (* 1/2 (+ eps (* 2 x))))> |
#<alt (sin (* 1/2 (+ eps (* 2 x))))> |
#<alt (sin (* 1/2 (+ eps (* 2 x))))> |
#<alt (sin (* 1/2 (- (* 2 x) (* -1 eps))))> |
#<alt (sin (* 1/2 (- (* 2 x) (* -1 eps))))> |
#<alt (sin (* 1/2 (- (* 2 x) (* -1 eps))))> |
#<alt (sin (* 1/2 (- (* 2 x) (* -1 eps))))> |
#<alt (sin (* 1/2 eps))> |
#<alt (+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))> |
#<alt (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))> |
#<alt (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))> |
#<alt (sin (* 1/2 (+ eps (* 2 x))))> |
#<alt (sin (* 1/2 (+ eps (* 2 x))))> |
#<alt (sin (* 1/2 (+ eps (* 2 x))))> |
#<alt (sin (* 1/2 (+ eps (* 2 x))))> |
#<alt (sin (* 1/2 (- eps (* -2 x))))> |
#<alt (sin (* 1/2 (- eps (* -2 x))))> |
#<alt (sin (* 1/2 (- eps (* -2 x))))> |
#<alt (sin (* 1/2 (- eps (* -2 x))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (* 1/6 eps)> |
#<alt (* 1/6 eps)> |
#<alt (* 1/6 eps)> |
#<alt (* 1/6 eps)> |
#<alt (* 1/6 eps)> |
#<alt (* 1/6 eps)> |
#<alt (* 1/6 eps)> |
#<alt (* 1/6 eps)> |
#<alt (* 1/6 eps)> |
#<alt (* 1/6 eps)> |
#<alt (* 1/6 eps)> |
#<alt (* 1/6 eps)> |
#<alt (* 1/6 (pow eps 2))> |
#<alt (* 1/6 (pow eps 2))> |
#<alt (* 1/6 (pow eps 2))> |
#<alt (* 1/6 (pow eps 2))> |
#<alt (* 1/6 (pow eps 2))> |
#<alt (* 1/6 (pow eps 2))> |
#<alt (* 1/6 (pow eps 2))> |
#<alt (* 1/6 (pow eps 2))> |
#<alt (* 1/6 (pow eps 2))> |
#<alt (* 1/6 (pow eps 2))> |
#<alt (* 1/6 (pow eps 2))> |
#<alt (* 1/6 (pow eps 2))> |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (* eps (- (* eps (* -1/2 (cos x))) (sin x))) |
| 1.0ms | x | @ | -inf | (* (* (sin (/ (+ eps 0) 2)) (sin (/ (+ eps (* x 2)) 2))) -2) |
| 1.0ms | x | @ | inf | (* (* (sin (/ (+ eps 0) 2)) (sin (/ (+ eps (* x 2)) 2))) -2) |
| 1.0ms | eps | @ | 0 | (* (* (sin (/ (+ eps 0) 2)) (sin (/ (+ eps (* x 2)) 2))) -2) |
| 1.0ms | x | @ | inf | (* eps (+ (* eps (* -1/2 (cos x))) (* (sin x) (+ (* eps (* eps 1/6)) -1)))) |
| 1× | batch-egg-rewrite |
| 4020× | *-lowering-*.f32 |
| 4020× | *-lowering-*.f64 |
| 2552× | +-lowering-+.f64 |
| 2552× | +-lowering-+.f32 |
| 2374× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 130 |
| 1 | 178 | 124 |
| 2 | 1852 | 124 |
| 0 | 8466 | 124 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* (sin (/ (+ eps 0) 2)) (sin (/ (+ eps (* x 2)) 2))) -2) |
(* (sin (/ (+ eps 0) 2)) (sin (/ (+ eps (* x 2)) 2))) |
(sin (/ (+ eps 0) 2)) |
(/ (+ eps 0) 2) |
(+ (cos eps) -1) |
(cos eps) |
(- 0 (* eps (sin x))) |
(* eps (sin x)) |
(sin x) |
(* eps (- (* eps (* -1/2 (cos x))) (sin x))) |
(- (* eps (* -1/2 (cos x))) (sin x)) |
(* eps (* -1/2 (cos x))) |
(* -1/2 (cos x)) |
(* eps (+ (* eps (* -1/2 (cos x))) (* (sin x) (+ (* eps (* eps 1/6)) -1)))) |
(+ (* eps (* -1/2 (cos x))) (* (sin x) (+ (* eps (* eps 1/6)) -1))) |
(sin (/ (+ eps (* x 2)) 2)) |
(cos x) |
(* eps 1/6) |
(* eps (* eps 1/6)) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (/.f64 (-.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (/.f64 (-.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))) #s(literal -2 binary64)) #s(literal 2 binary64)) |
(*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) #s(literal -2 binary64))) |
(*.f64 (sin.f64 (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) #s(literal -2 binary64))) |
(*.f64 (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sin.f64 (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) #s(literal -2 binary64)) (sin.f64 (/.f64 eps #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (cos.f64 (/.f64 (-.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (cos.f64 (/.f64 (-.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (/.f64 (-.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))))) |
(/.f64 (-.f64 (cos.f64 (/.f64 (-.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 (cos.f64 (/.f64 (-.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))) #s(literal -2 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (/.f64 (-.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))) #s(literal -1 binary64)) |
(*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) |
(*.f64 (sin.f64 (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (sin.f64 (/.f64 eps #s(literal 2 binary64)))) |
(*.f64 (-.f64 (cos.f64 (/.f64 (-.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))) #s(literal 1/2 binary64)) |
(sin.f64 (/.f64 eps #s(literal 2 binary64))) |
(neg.f64 (sin.f64 (/.f64 eps #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) eps)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 eps #s(literal -2 binary64))) |
(/.f64 eps #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) eps))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))) |
(/.f64 (*.f64 eps eps) (*.f64 #s(literal 2 binary64) eps)) |
(/.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 2 binary64) (*.f64 eps eps))) |
(/.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) eps)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) eps) |
(pow.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 eps #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 eps #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) eps)) |
(+.f64 (cos.f64 eps) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (cos.f64 eps)) |
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 (cos.f64 eps) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 eps) #s(literal -1 binary64))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 eps) #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) eps)))) (*.f64 (cos.f64 eps) #s(literal -1 binary64))))) |
(/.f64 #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) eps)))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 eps) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) #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) eps)))) #s(literal -1 binary64)) (+.f64 (cos.f64 eps) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (-.f64 #s(literal -1 binary64) (cos.f64 eps))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.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 #s(literal 2 binary64) eps)))) #s(literal -1 binary64))) (neg.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 eps) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 eps) #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) eps)))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 eps) #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) eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (cos.f64 eps) #s(literal 1 binary64)) (*.f64 (sin.f64 eps) #s(literal 0 binary64))) |
(+.f64 (fma.f64 (cos.f64 eps) #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 0 binary64) (sin.f64 eps)))) (fma.f64 #s(literal 0 binary64) (sin.f64 eps) (*.f64 #s(literal 0 binary64) (sin.f64 eps)))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 eps) #s(literal 0 binary64)))) (fma.f64 (neg.f64 (sin.f64 eps)) #s(literal 0 binary64) (*.f64 (sin.f64 eps) #s(literal 0 binary64)))) |
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 (/.f64 #s(literal 0 binary64) eps))) (*.f64 (sin.f64 eps) (sin.f64 (/.f64 #s(literal 0 binary64) eps)))) |
(cos.f64 eps) |
(-.f64 (*.f64 (cos.f64 eps) #s(literal 1 binary64)) (*.f64 (sin.f64 eps) #s(literal 0 binary64))) |
(-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 eps)) (*.f64 #s(literal 0 binary64) (sin.f64 eps))) |
(fma.f64 (cos.f64 eps) #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 eps) #s(literal 0 binary64)))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 eps) (neg.f64 (*.f64 #s(literal 0 binary64) (sin.f64 eps)))) |
(+.f64 #s(literal 0 binary64) (*.f64 eps (-.f64 #s(literal 0 binary64) (sin.f64 x)))) |
(+.f64 (*.f64 eps (-.f64 #s(literal 0 binary64) (sin.f64 x))) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x))) (/.f64 (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 eps (sin.f64 x)))) |
(fma.f64 eps (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)) #s(literal 0 binary64)) |
(fma.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) eps) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) eps #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 eps (-.f64 #s(literal 0 binary64) (sin.f64 x))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (/.f64 #s(literal 1 binary64) (*.f64 eps (sin.f64 x))) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) eps) (sin.f64 x) #s(literal 0 binary64)) |
(neg.f64 (*.f64 eps (sin.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (pow.f64 (*.f64 eps (-.f64 #s(literal 0 binary64) (sin.f64 x))) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (sin.f64 x)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))) |
(/.f64 (pow.f64 (*.f64 eps (-.f64 #s(literal 0 binary64) (sin.f64 x))) #s(literal 3 binary64)) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) |
(/.f64 (pow.f64 (*.f64 eps (-.f64 #s(literal 0 binary64) (sin.f64 x))) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 #s(literal 0 binary64) (*.f64 eps (-.f64 #s(literal 0 binary64) (sin.f64 x))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (*.f64 eps (sin.f64 x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (-.f64 #s(literal 0 binary64) (*.f64 eps (-.f64 #s(literal 0 binary64) (sin.f64 x))))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 eps (-.f64 #s(literal 0 binary64) (sin.f64 x))) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (*.f64 eps (-.f64 #s(literal 0 binary64) (sin.f64 x)))) |
(pow.f64 (/.f64 (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (pow.f64 (*.f64 eps (-.f64 #s(literal 0 binary64) (sin.f64 x))) #s(literal 3 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 eps (sin.f64 x)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) #s(literal -1 binary64)) |
(*.f64 eps (-.f64 #s(literal 0 binary64) (sin.f64 x))) |
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x))) |
(*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) eps)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) eps) |
(*.f64 (pow.f64 (*.f64 eps (-.f64 #s(literal 0 binary64) (sin.f64 x))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (/.f64 #s(literal 1 binary64) (*.f64 eps (sin.f64 x)))) |
(*.f64 (-.f64 #s(literal 0 binary64) eps) (sin.f64 x)) |
(+.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x))) |
(+.f64 (*.f64 eps (sin.f64 x)) #s(literal 0 binary64)) |
(+.f64 (*.f64 eps (sin.f64 x)) (*.f64 (sin.f64 x) #s(literal 0 binary64))) |
(+.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 eps (sin.f64 x))) |
(fma.f64 eps (sin.f64 x) #s(literal 0 binary64)) |
(fma.f64 eps (sin.f64 x) (*.f64 (sin.f64 x) #s(literal 0 binary64))) |
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(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/216 binary64)))) (sin.f64 x)) eps) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64)))) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) eps)))) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64)))) eps)) |
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/216 binary64)))) (sin.f64 x)) (*.f64 eps eps)) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (*.f64 eps eps))))) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64)))) (*.f64 eps eps))) |
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/216 binary64)))) (sin.f64 x)) (*.f64 eps eps)) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64)))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64)))) (*.f64 eps eps))) |
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (sin.f64 x)) eps) (*.f64 (+.f64 (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) eps)))) (*.f64 (+.f64 (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal 1 binary64)) eps)) |
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (sin.f64 x)) (*.f64 eps eps)) (*.f64 (+.f64 (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (*.f64 eps eps))))) (*.f64 (+.f64 (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 eps eps))) |
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (sin.f64 x)) (*.f64 eps eps)) (*.f64 (+.f64 (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) (*.f64 (+.f64 (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 eps eps))) |
(pow.f64 (/.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 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))) (-.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64))) (pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64)))))) (-.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64)))))))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64))) (pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.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 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))) (-.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps))))))) |
(*.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64)))))))) |
(sin.f64 (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) |
(neg.f64 (sin.f64 (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal -2 binary64)))) |
(cos.f64 x) |
(+.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 1/6 binary64))) |
(+.f64 (*.f64 eps #s(literal 1/6 binary64)) #s(literal 0 binary64)) |
(fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1/6 binary64) eps #s(literal 0 binary64)) |
(/.f64 (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) eps) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 eps eps)) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps)) |
(*.f64 eps #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) eps) |
(+.f64 (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) #s(literal 0 binary64))) |
(+.f64 (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) #s(literal 0 binary64)) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 1/6 binary64))) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64)))) |
(fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) #s(literal 0 binary64))) |
(fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 1/6 binary64)))) |
(fma.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 1/6 binary64)) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) (*.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 eps #s(literal 1/6 binary64)) eps (*.f64 (*.f64 eps #s(literal 1/6 binary64)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 eps #s(literal 1/6 binary64)) eps (*.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 eps #s(literal 1/6 binary64)) #s(literal 0 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 eps eps) #s(literal 1/6 binary64) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 eps eps) #s(literal 1/6 binary64) (*.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 eps eps)) |
(/.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (*.f64 eps eps)) eps) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps #s(literal 1/6 binary64))) (*.f64 eps eps)) |
(/.f64 (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 1/6 binary64))) eps) |
(*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) |
(*.f64 (*.f64 eps #s(literal 1/6 binary64)) eps) |
(*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) |
| 1× | egg-herbie |
| 5490× | *-lowering-*.f32 |
| 5490× | *-lowering-*.f64 |
| 4126× | +-lowering-+.f64 |
| 4126× | +-lowering-+.f32 |
| 1382× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 380 | 3250 |
| 1 | 1310 | 2852 |
| 2 | 4237 | 2792 |
| 0 | 8287 | 2792 |
| 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 (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x)))))) |
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x))))))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))) |
(* -2 (pow (sin (* 1/2 eps)) 2)) |
(+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2))) |
(+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2))))) |
(+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2)))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))) |
(* 1/2 (* eps (sin x))) |
(* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x)))) |
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x)))))))) |
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x)))))))))) |
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))) |
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))) |
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))) |
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))) |
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))) |
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))) |
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))) |
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))) |
(pow (sin (* 1/2 eps)) 2) |
(+ (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (pow (sin (* 1/2 eps)) 2)) |
(+ (* x (+ (* -1/2 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2)) |
(+ (* x (+ (* x (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* -1/6 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2)) |
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))) |
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))) |
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))) |
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))) |
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))) |
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))) |
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))) |
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))) |
(* 1/2 eps) |
(* eps (+ 1/2 (* -1/48 (pow eps 2)))) |
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))) |
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))) |
(sin (* 1/2 eps)) |
(sin (* 1/2 eps)) |
(sin (* 1/2 eps)) |
(sin (* 1/2 eps)) |
(sin (* 1/2 eps)) |
(sin (* 1/2 eps)) |
(sin (* 1/2 eps)) |
(sin (* 1/2 eps)) |
(* 1/2 eps) |
(* 1/2 eps) |
(* 1/2 eps) |
(* 1/2 eps) |
(* 1/2 eps) |
(* 1/2 eps) |
(* 1/2 eps) |
(* 1/2 eps) |
(* 1/2 eps) |
(* 1/2 eps) |
(* 1/2 eps) |
(* 1/2 eps) |
(* -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 (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 x)) |
(* x (- (* 1/6 (* eps (pow x 2))) eps)) |
(* x (- (* (pow x 2) (- (* -1/120 (* eps (pow x 2))) (* -1/6 eps))) eps)) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* 1/5040 (* eps (pow x 2))) (* 1/120 eps))) (* -1/6 eps))) eps)) |
(* -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))) |
(* eps (sin x)) |
(* eps (sin x)) |
(* eps (sin x)) |
(* eps (sin x)) |
(* eps (sin x)) |
(* eps (sin x)) |
(* eps (sin x)) |
(* eps (sin x)) |
(* eps (sin x)) |
(* eps (sin x)) |
(* eps (sin x)) |
(* eps (sin x)) |
(* eps x) |
(* x (+ eps (* -1/6 (* eps (pow x 2))))) |
(* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2))))))) |
(* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps))))))) |
(* eps (sin x)) |
(* eps (sin x)) |
(* eps (sin x)) |
(* eps (sin x)) |
(* eps (sin x)) |
(* eps (sin x)) |
(* eps (sin x)) |
(* eps (sin x)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(* -1 (* eps (sin x))) |
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))) |
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))) |
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))) |
(* -1/2 (* (pow eps 2) (cos x))) |
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))) |
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))) |
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))) |
(* -1/2 (* (pow eps 2) (cos x))) |
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))) |
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))) |
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))) |
(* -1/2 (pow eps 2)) |
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2))) |
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x))))) |
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2))))))) |
(* eps (- (* -1/2 (* eps (cos x))) (sin x))) |
(* eps (- (* -1/2 (* eps (cos x))) (sin x))) |
(* eps (- (* -1/2 (* eps (cos x))) (sin x))) |
(* eps (- (* -1/2 (* eps (cos x))) (sin x))) |
(* eps (- (* -1/2 (* eps (cos x))) (sin x))) |
(* eps (- (* -1/2 (* eps (cos x))) (sin x))) |
(* eps (- (* -1/2 (* eps (cos x))) (sin x))) |
(* eps (- (* -1/2 (* eps (cos x))) (sin x))) |
(* -1 (sin x)) |
(- (* -1/2 (* eps (cos x))) (sin x)) |
(- (* -1/2 (* eps (cos x))) (sin x)) |
(- (* -1/2 (* eps (cos x))) (sin x)) |
(* -1/2 (* eps (cos x))) |
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))) |
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))) |
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))) |
(* -1/2 (* eps (cos x))) |
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps)))) |
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps)))) |
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps)))) |
(* -1/2 eps) |
(+ (* -1 x) (* -1/2 eps)) |
(+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) |
(+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))) |
(- (* -1/2 (* eps (cos x))) (sin x)) |
(- (* -1/2 (* eps (cos x))) (sin x)) |
(- (* -1/2 (* eps (cos x))) (sin x)) |
(- (* -1/2 (* eps (cos x))) (sin x)) |
(- (* -1/2 (* eps (cos x))) (sin x)) |
(- (* -1/2 (* eps (cos x))) (sin x)) |
(- (* -1/2 (* eps (cos x))) (sin x)) |
(- (* -1/2 (* eps (cos x))) (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))) |
-1/2 |
(- (* 1/4 (pow x 2)) 1/2) |
(- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2) |
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2) |
(* -1/2 (cos x)) |
(* -1/2 (cos x)) |
(* -1/2 (cos x)) |
(* -1/2 (cos x)) |
(* -1/2 (cos x)) |
(* -1/2 (cos x)) |
(* -1/2 (cos x)) |
(* -1/2 (cos x)) |
(* -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 (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) |
(+ (* -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))) |
(sin x) |
(+ (sin x) (* 1/2 (* eps (cos x)))) |
(+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x))))) |
(+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x)))))))) |
(sin (* 1/2 (+ eps (* 2 x)))) |
(sin (* 1/2 (+ eps (* 2 x)))) |
(sin (* 1/2 (+ eps (* 2 x)))) |
(sin (* 1/2 (+ eps (* 2 x)))) |
(sin (* 1/2 (- (* 2 x) (* -1 eps)))) |
(sin (* 1/2 (- (* 2 x) (* -1 eps)))) |
(sin (* 1/2 (- (* 2 x) (* -1 eps)))) |
(sin (* 1/2 (- (* 2 x) (* -1 eps)))) |
(sin (* 1/2 eps)) |
(+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps)))) |
(+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps))))))) |
(+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps))))))))) |
(sin (* 1/2 (+ eps (* 2 x)))) |
(sin (* 1/2 (+ eps (* 2 x)))) |
(sin (* 1/2 (+ eps (* 2 x)))) |
(sin (* 1/2 (+ eps (* 2 x)))) |
(sin (* 1/2 (- eps (* -2 x)))) |
(sin (* 1/2 (- eps (* -2 x)))) |
(sin (* 1/2 (- eps (* -2 x)))) |
(sin (* 1/2 (- eps (* -2 x)))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* 1/6 eps) |
(* 1/6 eps) |
(* 1/6 eps) |
(* 1/6 eps) |
(* 1/6 eps) |
(* 1/6 eps) |
(* 1/6 eps) |
(* 1/6 eps) |
(* 1/6 eps) |
(* 1/6 eps) |
(* 1/6 eps) |
(* 1/6 eps) |
(* 1/6 (pow eps 2)) |
(* 1/6 (pow eps 2)) |
(* 1/6 (pow eps 2)) |
(* 1/6 (pow eps 2)) |
(* 1/6 (pow eps 2)) |
(* 1/6 (pow eps 2)) |
(* 1/6 (pow eps 2)) |
(* 1/6 (pow eps 2)) |
(* 1/6 (pow eps 2)) |
(* 1/6 (pow eps 2)) |
(* 1/6 (pow eps 2)) |
(* 1/6 (pow eps 2)) |
| Outputs |
|---|
(* -1 (* eps (sin x))) |
(-.f64 #s(literal 0 binary64) (*.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 (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x)))))) |
(*.f64 eps (+.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) |
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x))))))))) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64))))))) (sin.f64 x))) |
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))) |
(*.f64 (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))) |
(*.f64 (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))) |
(*.f64 (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))) |
(*.f64 (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))) |
(*.f64 (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))) |
(*.f64 (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))) |
(*.f64 (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))) |
(*.f64 (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(* -2 (pow (sin (* 1/2 eps)) 2)) |
(*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (+.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))))) |
(+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2))))) |
(+.f64 (*.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (*.f64 x x) #s(literal -2 binary64)))) |
(+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2)))))) |
(+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) (*.f64 x (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))) |
(*.f64 (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))) |
(*.f64 (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))) |
(*.f64 (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))) |
(*.f64 (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))) |
(*.f64 (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))) |
(*.f64 (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))) |
(*.f64 (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))) |
(*.f64 (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(* 1/2 (* eps (sin x))) |
(*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/2 binary64))) |
(* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x)))) |
(*.f64 eps (+.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (*.f64 eps (*.f64 (cos.f64 x) #s(literal 1/4 binary64))))) |
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x)))))))) |
(*.f64 eps (+.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (*.f64 eps (+.f64 (*.f64 eps (*.f64 (sin.f64 x) #s(literal -1/12 binary64))) (*.f64 (cos.f64 x) #s(literal 1/4 binary64)))))) |
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x)))))))))) |
(*.f64 eps (+.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (*.f64 eps (+.f64 (*.f64 (cos.f64 x) #s(literal 1/4 binary64)) (*.f64 eps (+.f64 (*.f64 (sin.f64 x) #s(literal -1/12 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/48 binary64)))))))) |
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))) |
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) |
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))) |
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) |
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))) |
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) |
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))) |
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) |
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))) |
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) |
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))) |
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) |
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))) |
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) |
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))) |
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(+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))) |
(+.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))) |
(+.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))) |
(+.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))) |
(+.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))) |
(+.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(sin x) |
(sin.f64 x) |
(+ (sin x) (* 1/2 (* eps (cos x)))) |
(+.f64 (sin.f64 x) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/2 binary64))) |
(+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x))))) |
(+.f64 (*.f64 (+.f64 (*.f64 eps (*.f64 eps #s(literal -1/8 binary64))) #s(literal 1 binary64)) (sin.f64 x)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/2 binary64))) |
(+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x)))))))) |
(+.f64 (sin.f64 x) (*.f64 eps (+.f64 (*.f64 eps (*.f64 (sin.f64 x) #s(literal -1/8 binary64))) (*.f64 (cos.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps #s(literal -1/48 binary64)))))))) |
(sin (* 1/2 (+ eps (* 2 x)))) |
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) |
(sin (* 1/2 (+ eps (* 2 x)))) |
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) |
(sin (* 1/2 (+ eps (* 2 x)))) |
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) |
(sin (* 1/2 (+ eps (* 2 x)))) |
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) |
(sin (* 1/2 (- (* 2 x) (* -1 eps)))) |
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) |
(sin (* 1/2 (- (* 2 x) (* -1 eps)))) |
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) |
(sin (* 1/2 (- (* 2 x) (* -1 eps)))) |
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) |
(sin (* 1/2 (- (* 2 x) (* -1 eps)))) |
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) |
(sin (* 1/2 eps)) |
(sin.f64 (*.f64 eps #s(literal 1/2 binary64))) |
(+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps)))) |
(+.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps))))))) |
(+.f64 (*.f64 x (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps))))))))) |
(+.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x (+.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))))) |
(sin (* 1/2 (+ eps (* 2 x)))) |
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) |
(sin (* 1/2 (+ eps (* 2 x)))) |
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) |
(sin (* 1/2 (+ eps (* 2 x)))) |
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) |
(sin (* 1/2 (+ eps (* 2 x)))) |
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) |
(sin (* 1/2 (- eps (* -2 x)))) |
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) |
(sin (* 1/2 (- eps (* -2 x)))) |
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) |
(sin (* 1/2 (- eps (* -2 x)))) |
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) |
(sin (* 1/2 (- eps (* -2 x)))) |
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))))))) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(* 1/6 eps) |
(*.f64 eps #s(literal 1/6 binary64)) |
(* 1/6 eps) |
(*.f64 eps #s(literal 1/6 binary64)) |
(* 1/6 eps) |
(*.f64 eps #s(literal 1/6 binary64)) |
(* 1/6 eps) |
(*.f64 eps #s(literal 1/6 binary64)) |
(* 1/6 eps) |
(*.f64 eps #s(literal 1/6 binary64)) |
(* 1/6 eps) |
(*.f64 eps #s(literal 1/6 binary64)) |
(* 1/6 eps) |
(*.f64 eps #s(literal 1/6 binary64)) |
(* 1/6 eps) |
(*.f64 eps #s(literal 1/6 binary64)) |
(* 1/6 eps) |
(*.f64 eps #s(literal 1/6 binary64)) |
(* 1/6 eps) |
(*.f64 eps #s(literal 1/6 binary64)) |
(* 1/6 eps) |
(*.f64 eps #s(literal 1/6 binary64)) |
(* 1/6 eps) |
(*.f64 eps #s(literal 1/6 binary64)) |
(* 1/6 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) |
(* 1/6 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) |
(* 1/6 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) |
(* 1/6 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) |
(* 1/6 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) |
(* 1/6 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) |
(* 1/6 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) |
(* 1/6 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) |
(* 1/6 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) |
(* 1/6 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) |
(* 1/6 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) |
(* 1/6 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) |
Compiled 20070 to 1817 computations (90.9% saved)
38 alts after pruning (35 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 829 | 34 | 863 |
| Fresh | 1 | 1 | 2 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 833 | 38 | 871 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (fma.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))) eps (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) eps))) |
| 19.1% | (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))) (*.f64 eps (*.f64 eps eps))) eps) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps))))) (*.f64 eps (*.f64 eps eps))) | |
| 24.2% | (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))) (*.f64 eps eps)) eps) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps))))) (*.f64 eps eps)) | |
| ▶ | 84.2% | (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x)) (*.f64 eps eps)) eps) |
| 56.5% | (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) | |
| ✓ | 56.3% | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 72.0% | (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) eps)) | |
| 79.6% | (-.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))))) | |
| 79.2% | (-.f64 #s(literal 0 binary64) (*.f64 eps x)) | |
| 54.1% | (+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) #s(literal -1 binary64)) | |
| 96.7% | (+.f64 (*.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))))) (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))) | |
| 99.2% | (+.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) eps)) (*.f64 eps (-.f64 #s(literal 0 binary64) (sin.f64 x)))) | |
| 99.5% | (+.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) eps)) (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))) | |
| ▶ | 54.1% | (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
| 99.5% | (*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/3840 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64)) | |
| 99.5% | (*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/3840 binary64))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64)) | |
| 99.4% | (*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps #s(literal -1/48 binary64))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64)) | |
| 99.2% | (*.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64)) | |
| 99.6% | (*.f64 (*.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64)) | |
| 99.6% | (*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) | |
| 31.7% | (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps)))))) | |
| 79.6% | (*.f64 x (-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (*.f64 eps (+.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal -1/120 binary64))))) (*.f64 eps #s(literal 1/6 binary64)))) eps)) | |
| ▶ | 79.3% | (*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 (*.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) eps)) |
| 79.5% | (*.f64 x (*.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) | |
| 32.9% | (*.f64 eps (/.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (sin.f64 x)) (*.f64 eps eps)) (*.f64 (+.f64 (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) (*.f64 (+.f64 (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 eps eps)))) | |
| 8.0% | (*.f64 eps (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64))) (pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64)))))) (-.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 #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))))))) | |
| 99.5% | (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64))))))) (sin.f64 x))) | |
| ▶ | 97.8% | (*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (sin.f64 x))) |
| ✓ | 99.2% | (*.f64 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))) |
| 98.2% | (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))) | |
| 96.1% | (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) | |
| ✓ | 99.5% | (*.f64 eps (+.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64))))) |
| 96.7% | (*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64)))))))) | |
| 96.1% | (*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 eps #s(literal 1/4 binary64))))))) | |
| 96.1% | (*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))) | |
| 99.1% | (*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))) | |
| 55.2% | (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) | |
| 80.9% | (neg.f64 (*.f64 eps (sin.f64 x))) |
Compiled 1557 to 978 computations (37.2% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x)) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x)) (*.f64 eps eps)) |
| ✓ | cost-diff | 256 | (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x)) (*.f64 eps eps)) eps) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (sin.f64 x)) |
| ✓ | cost-diff | 0 | (*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (sin.f64 x))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 (*.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 (*.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) eps) |
| ✓ | cost-diff | 0 | (*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 (*.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) eps)) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64)))) |
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))) |
| ✓ | cost-diff | 6400 | (fma.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))) eps (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) eps))) |
| 3322× | *-lowering-*.f32 |
| 3322× | *-lowering-*.f64 |
| 1834× | sum3-define |
| 1740× | +-lowering-+.f64 |
| 1740× | +-lowering-+.f32 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 223 |
| 1 | 110 | 215 |
| 2 | 321 | 212 |
| 3 | 918 | 210 |
| 4 | 2172 | 210 |
| 5 | 4014 | 209 |
| 0 | 8360 | 209 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (* (sin x) (+ -1 (* eps (* eps 1/6)))) eps) (* (* eps -1/2) (* (cos x) eps))) |
(* (sin x) (+ -1 (* eps (* eps 1/6)))) |
(sin x) |
x |
(+ -1 (* eps (* eps 1/6))) |
-1 |
(* eps (* eps 1/6)) |
eps |
(* eps 1/6) |
1/6 |
(* (* eps -1/2) (* (cos x) eps)) |
(* eps -1/2) |
-1/2 |
(* (cos x) eps) |
(cos x) |
(+ 1 -1) |
1 |
-1 |
(* x (- (* (* x x) (* eps (+ (* (* x x) -1/120) 1/6))) eps)) |
x |
(- (* (* x x) (* eps (+ (* (* x x) -1/120) 1/6))) eps) |
(* (* x x) (* eps (+ (* (* x x) -1/120) 1/6))) |
(* x x) |
(* eps (+ (* (* x x) -1/120) 1/6)) |
eps |
(+ (* (* x x) -1/120) 1/6) |
(* (* x x) -1/120) |
-1/120 |
1/6 |
(* eps (- (* eps (+ -1/2 (* 1/4 (* x x)))) (sin x))) |
eps |
(- (* eps (+ -1/2 (* 1/4 (* x x)))) (sin x)) |
(* eps (+ -1/2 (* 1/4 (* x x)))) |
(+ -1/2 (* 1/4 (* x x))) |
-1/2 |
(* 1/4 (* x x)) |
1/4 |
(* x x) |
x |
(sin x) |
(/ (* (- (* -1/2 (* (cos x) eps)) (sin x)) (* eps eps)) eps) |
(* (- (* -1/2 (* (cos x) eps)) (sin x)) (* eps eps)) |
(- (* -1/2 (* (cos x) eps)) (sin x)) |
(* -1/2 (* (cos x) eps)) |
-1/2 |
(* (cos x) eps) |
(cos x) |
x |
eps |
(sin x) |
(* eps eps) |
| Outputs |
|---|
(+ (* (* (sin x) (+ -1 (* eps (* eps 1/6)))) eps) (* (* eps -1/2) (* (cos x) eps))) |
(*.f64 eps (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (*.f64 (+.f64 (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 x)))) |
(* (sin x) (+ -1 (* eps (* eps 1/6)))) |
(*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))) |
(sin x) |
(sin.f64 x) |
x |
(+ -1 (* eps (* eps 1/6))) |
(+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64)))) |
-1 |
#s(literal -1 binary64) |
(* eps (* eps 1/6)) |
(*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) |
eps |
(* eps 1/6) |
(*.f64 eps #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(* (* eps -1/2) (* (cos x) eps)) |
(*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) |
(* eps -1/2) |
(*.f64 eps #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(* (cos x) eps) |
(*.f64 eps (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
(+ 1 -1) |
#s(literal 0 binary64) |
1 |
#s(literal 1 binary64) |
-1 |
#s(literal -1 binary64) |
(* x (- (* (* x x) (* eps (+ (* (* x x) -1/120) 1/6))) eps)) |
(*.f64 eps (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64)))))))) |
x |
(- (* (* x x) (* eps (+ (* (* x x) -1/120) 1/6))) eps) |
(*.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64))))))) |
(* (* x x) (* eps (+ (* (* x x) -1/120) 1/6))) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64))) (*.f64 eps (*.f64 x x))) |
(* x x) |
(*.f64 x x) |
(* eps (+ (* (* x x) -1/120) 1/6)) |
(*.f64 eps (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64)))) |
eps |
(+ (* (* x x) -1/120) 1/6) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64))) |
(* (* x x) -1/120) |
(*.f64 (*.f64 x x) #s(literal -1/120 binary64)) |
-1/120 |
#s(literal -1/120 binary64) |
1/6 |
#s(literal 1/6 binary64) |
(* eps (- (* eps (+ -1/2 (* 1/4 (* x x)))) (sin x))) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))) (sin.f64 x))) |
eps |
(- (* eps (+ -1/2 (* 1/4 (* x x)))) (sin x)) |
(-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))) (sin.f64 x)) |
(* eps (+ -1/2 (* 1/4 (* x x)))) |
(*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))) |
(+ -1/2 (* 1/4 (* x x))) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) |
-1/2 |
#s(literal -1/2 binary64) |
(* 1/4 (* x x)) |
(*.f64 x (*.f64 x #s(literal 1/4 binary64))) |
1/4 |
#s(literal 1/4 binary64) |
(* x x) |
(*.f64 x x) |
x |
(sin x) |
(sin.f64 x) |
(/ (* (- (* -1/2 (* (cos x) eps)) (sin x)) (* eps eps)) eps) |
(*.f64 eps (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x))) |
(* (- (* -1/2 (* (cos x) eps)) (sin x)) (* eps eps)) |
(*.f64 (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)) (*.f64 eps eps)) |
(- (* -1/2 (* (cos x) eps)) (sin x)) |
(-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)) |
(* -1/2 (* (cos x) eps)) |
(*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) |
-1/2 |
#s(literal -1/2 binary64) |
(* (cos x) eps) |
(*.f64 eps (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
x |
eps |
(sin x) |
(sin.f64 x) |
(* eps eps) |
(*.f64 eps eps) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 (cos.f64 x) eps) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x)) |
| ✓ | accuracy | 99.8% | (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x)) (*.f64 eps eps)) |
| ✓ | accuracy | 84.9% | (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x)) (*.f64 eps eps)) eps) |
| ✓ | accuracy | 100.0% | (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) |
| ✓ | accuracy | 99.9% | (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (sin.f64 x)) |
| ✓ | accuracy | 99.8% | (*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (sin.f64 x))) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 (*.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 (*.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal -1/120 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 eps (+.f64 (*.f64 (*.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))) eps (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) eps))) |
| ✓ | accuracy | 100.0% | (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))) |
| ✓ | accuracy | 99.9% | (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 eps #s(literal 1/6 binary64)) |
| 102.0ms | 251× | 0 | valid |
| 6.0ms | 3× | 3 | valid |
| 1.0ms | 1× | 2 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 263 to 37 computations (85.9% saved)
ival-mult: 32.0ms (50.1% of total)...c/correct-round.rkt:119:19: 8.0ms (12.5% of total)ival-add: 6.0ms (9.4% of total)ival-sub: 4.0ms (6.3% of total)ival-sin: 4.0ms (6.3% of total)compiled-spec: 4.0ms (6.3% of total)ival-cos: 3.0ms (4.7% of total)ival-div: 2.0ms (3.1% of total)const: 1.0ms (1.6% of total)backward-pass: 1.0ms (1.6% of total)| Inputs |
|---|
#<alt (+ (* (* (sin x) (+ -1 (* eps (* eps 1/6)))) eps) (* (* eps -1/2) (* (cos x) eps)))> |
#<alt (* (sin x) (+ -1 (* eps (* eps 1/6))))> |
#<alt (sin x)> |
#<alt (+ -1 (* eps (* eps 1/6)))> |
#<alt (+ 1 -1)> |
#<alt (* x (- (* (* x x) (* eps (+ (* (* x x) -1/120) 1/6))) eps))> |
#<alt (- (* (* x x) (* eps (+ (* (* x x) -1/120) 1/6))) eps)> |
#<alt (* (* x x) (* eps (+ (* (* x x) -1/120) 1/6)))> |
#<alt (* x x)> |
#<alt (* eps (- (* eps (+ -1/2 (* 1/4 (* x x)))) (sin x)))> |
#<alt (- (* eps (+ -1/2 (* 1/4 (* x x)))) (sin x))> |
#<alt (* eps (+ -1/2 (* 1/4 (* x x))))> |
#<alt (+ -1/2 (* 1/4 (* x x)))> |
#<alt (/ (* (- (* -1/2 (* (cos x) eps)) (sin x)) (* eps eps)) eps)> |
#<alt (* (- (* -1/2 (* (cos x) eps)) (sin x)) (* eps eps))> |
#<alt (- (* -1/2 (* (cos x) eps)) (sin x))> |
#<alt (* -1/2 (* (cos x) eps))> |
#<alt (* eps 1/6)> |
#<alt (* eps (* eps 1/6))> |
#<alt (* eps (+ (* (* x x) -1/120) 1/6))> |
#<alt (* (* x x) -1/120)> |
#<alt (+ (* (* x x) -1/120) 1/6)> |
#<alt (* (cos x) eps)> |
| Outputs |
|---|
#<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 (+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))> |
#<alt (+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))> |
#<alt (+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))> |
#<alt (+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))> |
#<alt (+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))> |
#<alt (+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))> |
#<alt (+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))> |
#<alt (+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))> |
#<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 (* x (- (* 1/6 (pow eps 2)) 1))> |
#<alt (* x (- (+ (* -1/6 (* (pow x 2) (- (* 1/6 (pow eps 2)) 1))) (* 1/6 (pow eps 2))) 1))> |
#<alt (* x (- (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/6 (- (* 1/6 (pow eps 2)) 1)) (* 1/120 (* (pow x 2) (- (* 1/6 (pow eps 2)) 1)))))) 1))> |
#<alt (* x (- (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/6 (- (* 1/6 (pow eps 2)) 1)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (- (* 1/6 (pow eps 2)) 1))) (* 1/120 (- (* 1/6 (pow eps 2)) 1))))))) 1))> |
#<alt (* (sin x) (- (* 1/6 (pow eps 2)) 1))> |
#<alt (* (sin x) (- (* 1/6 (pow eps 2)) 1))> |
#<alt (* (sin x) (- (* 1/6 (pow eps 2)) 1))> |
#<alt (* (sin x) (- (* 1/6 (pow eps 2)) 1))> |
#<alt (* (sin x) (- (* 1/6 (pow eps 2)) 1))> |
#<alt (* (sin x) (- (* 1/6 (pow eps 2)) 1))> |
#<alt (* (sin x) (- (* 1/6 (pow eps 2)) 1))> |
#<alt (* (sin x) (- (* 1/6 (pow eps 2)) 1))> |
#<alt (* -1 (sin x))> |
#<alt (+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x))))> |
#<alt (+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x))))> |
#<alt (+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x))))> |
#<alt (* 1/6 (* (pow eps 2) (sin x)))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))> |
#<alt (* 1/6 (* (pow eps 2) (sin x)))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt -1> |
#<alt (- (* 1/6 (pow eps 2)) 1)> |
#<alt (- (* 1/6 (pow eps 2)) 1)> |
#<alt (- (* 1/6 (pow eps 2)) 1)> |
#<alt (* 1/6 (pow eps 2))> |
#<alt (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))> |
#<alt (* 1/6 (pow eps 2))> |
#<alt (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))> |
#<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 (* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))> |
#<alt (* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))> |
#<alt (* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))> |
#<alt (* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))> |
#<alt (* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))> |
#<alt (* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))> |
#<alt (* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))> |
#<alt (* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))> |
#<alt (* -1 (* eps (* x (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))))))> |
#<alt (* -1 (* eps (* x (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))))))> |
#<alt (* -1 (* eps (* x (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))))))> |
#<alt (* -1 (* eps (* x (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))))))> |
#<alt (* -1 eps)> |
#<alt (- (* 1/6 (* eps (pow x 2))) eps)> |
#<alt (- (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))) eps)> |
#<alt (- (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))) eps)> |
#<alt (* -1/120 (* eps (pow x 4)))> |
#<alt (* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))> |
#<alt (* (pow x 4) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))> |
#<alt (* (pow x 4) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))> |
#<alt (* -1/120 (* eps (pow x 4)))> |
#<alt (* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))> |
#<alt (* (pow x 4) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))> |
#<alt (* (pow x 4) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))> |
#<alt (* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))> |
#<alt (* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))> |
#<alt (* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))> |
#<alt (* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))> |
#<alt (* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))> |
#<alt (* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))> |
#<alt (* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))> |
#<alt (* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))> |
#<alt (* -1 (* eps (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))))))> |
#<alt (* -1 (* eps (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))))))> |
#<alt (* -1 (* eps (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))))))> |
#<alt (* -1 (* eps (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))))))> |
#<alt (* 1/6 (* eps (pow x 2)))> |
#<alt (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))> |
#<alt (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))> |
#<alt (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))> |
#<alt (* -1/120 (* eps (pow x 4)))> |
#<alt (* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))> |
#<alt (* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))> |
#<alt (* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))> |
#<alt (* -1/120 (* eps (pow x 4)))> |
#<alt (* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))> |
#<alt (* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))> |
#<alt (* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))> |
#<alt (* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))> |
#<alt (* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))> |
#<alt (* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))> |
#<alt (* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))> |
#<alt (* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))> |
#<alt (* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))> |
#<alt (* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))> |
#<alt (* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))> |
#<alt (* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))> |
#<alt (* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))> |
#<alt (* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))> |
#<alt (* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* -1 (* eps (sin x)))> |
#<alt (* eps (+ (* -1 (sin x)) (* eps (- (* 1/4 (pow x 2)) 1/2))))> |
#<alt (* eps (+ (* -1 (sin x)) (* eps (- (* 1/4 (pow x 2)) 1/2))))> |
#<alt (* eps (+ (* -1 (sin x)) (* eps (- (* 1/4 (pow x 2)) 1/2))))> |
#<alt (* (pow eps 2) (- (* 1/4 (pow x 2)) 1/2))> |
#<alt (* (pow eps 2) (- (+ (* -1 (/ (sin x) eps)) (* 1/4 (pow x 2))) 1/2))> |
#<alt (* (pow eps 2) (- (+ (* -1 (/ (sin x) eps)) (* 1/4 (pow x 2))) 1/2))> |
#<alt (* (pow eps 2) (- (+ (* -1 (/ (sin x) eps)) (* 1/4 (pow x 2))) 1/2))> |
#<alt (* (pow eps 2) (- (* 1/4 (pow x 2)) 1/2))> |
#<alt (* (pow eps 2) (- (+ (* -1 (/ (sin x) eps)) (* 1/4 (pow x 2))) 1/2))> |
#<alt (* (pow eps 2) (- (+ (* -1 (/ (sin x) eps)) (* 1/4 (pow x 2))) 1/2))> |
#<alt (* (pow eps 2) (- (+ (* -1 (/ (sin x) eps)) (* 1/4 (pow x 2))) 1/2))> |
#<alt (* -1/2 (pow eps 2))> |
#<alt (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))> |
#<alt (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))> |
#<alt (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))> |
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/4 (pow eps 2)) (/ (* eps (- (* -1/2 eps) (sin x))) (pow x 2))))> |
#<alt (* (pow x 2) (+ (* 1/4 (pow eps 2)) (/ (* eps (- (* -1/2 eps) (sin x))) (pow x 2))))> |
#<alt (* (pow x 2) (+ (* 1/4 (pow eps 2)) (/ (* eps (- (* -1/2 eps) (sin x))) (pow x 2))))> |
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/4 (pow eps 2)) (/ (* eps (- (* -1/2 eps) (sin x))) (pow x 2))))> |
#<alt (* (pow x 2) (+ (* 1/4 (pow eps 2)) (/ (* eps (- (* -1/2 eps) (sin x))) (pow x 2))))> |
#<alt (* (pow x 2) (+ (* 1/4 (pow eps 2)) (/ (* eps (- (* -1/2 eps) (sin x))) (pow x 2))))> |
#<alt (* -1 (sin x))> |
#<alt (- (* eps (- (* 1/4 (pow x 2)) 1/2)) (sin x))> |
#<alt (- (* eps (- (* 1/4 (pow x 2)) 1/2)) (sin x))> |
#<alt (- (* eps (- (* 1/4 (pow x 2)) 1/2)) (sin x))> |
#<alt (* eps (- (* 1/4 (pow x 2)) 1/2))> |
#<alt (* eps (- (+ (* -1 (/ (sin x) eps)) (* 1/4 (pow x 2))) 1/2))> |
#<alt (* eps (- (+ (* -1 (/ (sin x) eps)) (* 1/4 (pow x 2))) 1/2))> |
#<alt (* eps (- (+ (* -1 (/ (sin x) eps)) (* 1/4 (pow x 2))) 1/2))> |
#<alt (* eps (- (* 1/4 (pow x 2)) 1/2))> |
#<alt (* -1 (* eps (+ (* -1 (- (* 1/4 (pow x 2)) 1/2)) (/ (sin x) eps))))> |
#<alt (* -1 (* eps (+ (* -1 (- (* 1/4 (pow x 2)) 1/2)) (/ (sin x) eps))))> |
#<alt (* -1 (* eps (+ (* -1 (- (* 1/4 (pow x 2)) 1/2)) (/ (sin x) eps))))> |
#<alt (* -1/2 eps)> |
#<alt (+ (* -1 x) (* -1/2 eps))> |
#<alt (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))> |
#<alt (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))> |
#<alt (* 1/4 (* eps (pow x 2)))> |
#<alt (* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)) (/ (sin x) (pow x 2))))> |
#<alt (* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)) (/ (sin x) (pow x 2))))> |
#<alt (* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)) (/ (sin x) (pow x 2))))> |
#<alt (* 1/4 (* eps (pow x 2)))> |
#<alt (* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)) (/ (sin x) (pow x 2))))> |
#<alt (* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)) (/ (sin x) (pow x 2))))> |
#<alt (* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)) (/ (sin x) (pow x 2))))> |
#<alt (* eps (- (* 1/4 (pow x 2)) 1/2))> |
#<alt (* eps (- (* 1/4 (pow x 2)) 1/2))> |
#<alt (* eps (- (* 1/4 (pow x 2)) 1/2))> |
#<alt (* eps (- (* 1/4 (pow x 2)) 1/2))> |
#<alt (* eps (- (* 1/4 (pow x 2)) 1/2))> |
#<alt (* eps (- (* 1/4 (pow x 2)) 1/2))> |
#<alt (* eps (- (* 1/4 (pow x 2)) 1/2))> |
#<alt (* eps (- (* 1/4 (pow x 2)) 1/2))> |
#<alt (* eps (- (* 1/4 (pow x 2)) 1/2))> |
#<alt (* eps (- (* 1/4 (pow x 2)) 1/2))> |
#<alt (* eps (- (* 1/4 (pow x 2)) 1/2))> |
#<alt (* eps (- (* 1/4 (pow x 2)) 1/2))> |
#<alt (* -1/2 eps)> |
#<alt (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))> |
#<alt (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))> |
#<alt (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))> |
#<alt (* 1/4 (* eps (pow x 2)))> |
#<alt (* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)))> |
#<alt (* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)))> |
#<alt (* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)))> |
#<alt (* 1/4 (* eps (pow x 2)))> |
#<alt (* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)))> |
#<alt (* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)))> |
#<alt (* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)))> |
#<alt -1/2> |
#<alt (- (* 1/4 (pow x 2)) 1/2)> |
#<alt (- (* 1/4 (pow x 2)) 1/2)> |
#<alt (- (* 1/4 (pow x 2)) 1/2)> |
#<alt (* 1/4 (pow x 2))> |
#<alt (* (pow x 2) (- 1/4 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/4 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/4 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/4 (pow x 2))> |
#<alt (* (pow x 2) (- 1/4 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/4 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/4 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* -1/2 (pow eps 2))> |
#<alt (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))> |
#<alt (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))> |
#<alt (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))> |
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))> |
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))> |
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))> |
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))> |
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))> |
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))> |
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))> |
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))> |
#<alt (* -1 (* eps (sin x)))> |
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))> |
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))> |
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))> |
#<alt (* -1/2 (* (pow eps 2) (cos x)))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))> |
#<alt (* -1/2 (* (pow eps 2) (cos x)))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))> |
#<alt (* -1/2 (pow eps 3))> |
#<alt (+ (* -1 (* (pow eps 2) x)) (* -1/2 (pow eps 3)))> |
#<alt (+ (* -1/2 (pow eps 3)) (* x (+ (* -1 (pow eps 2)) (* 1/4 (* (pow eps 3) x)))))> |
#<alt (+ (* -1/2 (pow eps 3)) (* x (+ (* -1 (pow eps 2)) (* x (+ (* 1/6 (* (pow eps 2) x)) (* 1/4 (pow eps 3)))))))> |
#<alt (* (pow eps 2) (- (* -1/2 (* eps (cos x))) (sin x)))> |
#<alt (* (pow eps 2) (- (* -1/2 (* eps (cos x))) (sin x)))> |
#<alt (* (pow eps 2) (- (* -1/2 (* eps (cos x))) (sin x)))> |
#<alt (* (pow eps 2) (- (* -1/2 (* eps (cos x))) (sin x)))> |
#<alt (* (pow eps 2) (- (* -1/2 (* eps (cos x))) (sin x)))> |
#<alt (* (pow eps 2) (- (* -1/2 (* eps (cos x))) (sin x)))> |
#<alt (* (pow eps 2) (- (* -1/2 (* eps (cos x))) (sin x)))> |
#<alt (* (pow eps 2) (- (* -1/2 (* eps (cos x))) (sin x)))> |
#<alt (* -1 (* (pow eps 2) (sin x)))> |
#<alt (* (pow eps 2) (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))> |
#<alt (* (pow eps 2) (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))> |
#<alt (* (pow eps 2) (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))> |
#<alt (* -1/2 (* (pow eps 3) (cos x)))> |
#<alt (* (pow eps 3) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))> |
#<alt (* (pow eps 3) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))> |
#<alt (* (pow eps 3) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))> |
#<alt (* -1/2 (* (pow eps 3) (cos x)))> |
#<alt (* -1 (* (pow eps 3) (+ (* 1/2 (cos x)) (/ (sin x) eps))))> |
#<alt (* -1 (* (pow eps 3) (+ (* 1/2 (cos x)) (/ (sin x) eps))))> |
#<alt (* -1 (* (pow eps 3) (+ (* 1/2 (cos x)) (/ (sin x) eps))))> |
#<alt (* -1/2 eps)> |
#<alt (+ (* -1 x) (* -1/2 eps))> |
#<alt (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))> |
#<alt (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))> |
#<alt (- (* -1/2 (* eps (cos x))) (sin x))> |
#<alt (- (* -1/2 (* eps (cos x))) (sin x))> |
#<alt (- (* -1/2 (* eps (cos x))) (sin x))> |
#<alt (- (* -1/2 (* eps (cos x))) (sin x))> |
#<alt (- (* -1/2 (* eps (cos x))) (sin x))> |
#<alt (- (* -1/2 (* eps (cos x))) (sin x))> |
#<alt (- (* -1/2 (* eps (cos x))) (sin x))> |
#<alt (- (* -1/2 (* eps (cos x))) (sin x))> |
#<alt (* -1 (sin x))> |
#<alt (- (* -1/2 (* eps (cos x))) (sin x))> |
#<alt (- (* -1/2 (* eps (cos x))) (sin x))> |
#<alt (- (* -1/2 (* eps (cos x))) (sin x))> |
#<alt (* -1/2 (* eps (cos x)))> |
#<alt (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))> |
#<alt (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))> |
#<alt (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))> |
#<alt (* -1/2 (* eps (cos x)))> |
#<alt (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))> |
#<alt (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))> |
#<alt (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))> |
#<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 (* -1/2 (* 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 (* 1/6 eps)> |
#<alt (* 1/6 eps)> |
#<alt (* 1/6 eps)> |
#<alt (* 1/6 eps)> |
#<alt (* 1/6 eps)> |
#<alt (* 1/6 eps)> |
#<alt (* 1/6 eps)> |
#<alt (* 1/6 eps)> |
#<alt (* 1/6 eps)> |
#<alt (* 1/6 eps)> |
#<alt (* 1/6 eps)> |
#<alt (* 1/6 eps)> |
#<alt (* 1/6 (pow eps 2))> |
#<alt (* 1/6 (pow eps 2))> |
#<alt (* 1/6 (pow eps 2))> |
#<alt (* 1/6 (pow eps 2))> |
#<alt (* 1/6 (pow eps 2))> |
#<alt (* 1/6 (pow eps 2))> |
#<alt (* 1/6 (pow eps 2))> |
#<alt (* 1/6 (pow eps 2))> |
#<alt (* 1/6 (pow eps 2))> |
#<alt (* 1/6 (pow eps 2))> |
#<alt (* 1/6 (pow eps 2))> |
#<alt (* 1/6 (pow eps 2))> |
#<alt (* eps (+ 1/6 (* -1/120 (pow x 2))))> |
#<alt (* eps (+ 1/6 (* -1/120 (pow x 2))))> |
#<alt (* eps (+ 1/6 (* -1/120 (pow x 2))))> |
#<alt (* eps (+ 1/6 (* -1/120 (pow x 2))))> |
#<alt (* eps (+ 1/6 (* -1/120 (pow x 2))))> |
#<alt (* eps (+ 1/6 (* -1/120 (pow x 2))))> |
#<alt (* eps (+ 1/6 (* -1/120 (pow x 2))))> |
#<alt (* eps (+ 1/6 (* -1/120 (pow x 2))))> |
#<alt (* eps (+ 1/6 (* -1/120 (pow x 2))))> |
#<alt (* eps (+ 1/6 (* -1/120 (pow x 2))))> |
#<alt (* eps (+ 1/6 (* -1/120 (pow x 2))))> |
#<alt (* eps (+ 1/6 (* -1/120 (pow x 2))))> |
#<alt (* 1/6 eps)> |
#<alt (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))> |
#<alt (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))> |
#<alt (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))> |
#<alt (* -1/120 (* eps (pow x 2)))> |
#<alt (* (pow x 2) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))> |
#<alt (* -1/120 (* eps (pow x 2)))> |
#<alt (* (pow x 2) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))> |
#<alt (* -1/120 (pow x 2))> |
#<alt (* -1/120 (pow x 2))> |
#<alt (* -1/120 (pow x 2))> |
#<alt (* -1/120 (pow x 2))> |
#<alt (* -1/120 (pow x 2))> |
#<alt (* -1/120 (pow x 2))> |
#<alt (* -1/120 (pow x 2))> |
#<alt (* -1/120 (pow x 2))> |
#<alt (* -1/120 (pow x 2))> |
#<alt (* -1/120 (pow x 2))> |
#<alt (* -1/120 (pow x 2))> |
#<alt (* -1/120 (pow x 2))> |
#<alt 1/6> |
#<alt (+ 1/6 (* -1/120 (pow x 2)))> |
#<alt (+ 1/6 (* -1/120 (pow x 2)))> |
#<alt (+ 1/6 (* -1/120 (pow x 2)))> |
#<alt (* -1/120 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120))> |
#<alt (* -1/120 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120))> |
#<alt eps> |
#<alt (+ eps (* -1/2 (* eps (pow x 2))))> |
#<alt (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))> |
#<alt (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))> |
#<alt (* eps (cos x))> |
#<alt (* eps (cos x))> |
#<alt (* eps (cos x))> |
#<alt (* eps (cos x))> |
#<alt (* eps (cos x))> |
#<alt (* eps (cos x))> |
#<alt (* eps (cos x))> |
#<alt (* eps (cos x))> |
#<alt (* eps (cos x))> |
#<alt (* eps (cos x))> |
#<alt (* eps (cos x))> |
#<alt (* eps (cos x))> |
#<alt (* eps (cos x))> |
#<alt (* eps (cos x))> |
#<alt (* eps (cos x))> |
#<alt (* eps (cos x))> |
#<alt (* eps (cos x))> |
#<alt (* eps (cos x))> |
#<alt (* eps (cos x))> |
#<alt (* eps (cos x))> |
108 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | eps | @ | 0 | (* eps (- (* eps (+ -1/2 (* 1/4 (* x x)))) (sin x))) |
| 1.0ms | eps | @ | 0 | (* x (- (* (* x x) (* eps (+ (* (* x x) -1/120) 1/6))) eps)) |
| 1.0ms | x | @ | inf | (+ (* (* (sin x) (+ -1 (* eps (* eps 1/6)))) eps) (* (* eps -1/2) (* (cos x) eps))) |
| 1.0ms | eps | @ | inf | (* x (- (* (* x x) (* eps (+ (* (* x x) -1/120) 1/6))) eps)) |
| 1.0ms | x | @ | -inf | (+ (* (* (sin x) (+ -1 (* eps (* eps 1/6)))) eps) (* (* eps -1/2) (* (cos x) eps))) |
| 1× | batch-egg-rewrite |
| 4874× | *-lowering-*.f32 |
| 4874× | *-lowering-*.f64 |
| 3242× | /-lowering-/.f32 |
| 3242× | /-lowering-/.f64 |
| 1866× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 174 |
| 1 | 204 | 166 |
| 2 | 1733 | 162 |
| 0 | 8620 | 162 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (* (sin x) (+ -1 (* eps (* eps 1/6)))) eps) (* (* eps -1/2) (* (cos x) eps))) |
(* (sin x) (+ -1 (* eps (* eps 1/6)))) |
(sin x) |
(+ -1 (* eps (* eps 1/6))) |
(+ 1 -1) |
(* x (- (* (* x x) (* eps (+ (* (* x x) -1/120) 1/6))) eps)) |
(- (* (* x x) (* eps (+ (* (* x x) -1/120) 1/6))) eps) |
(* (* x x) (* eps (+ (* (* x x) -1/120) 1/6))) |
(* x x) |
(* eps (- (* eps (+ -1/2 (* 1/4 (* x x)))) (sin x))) |
(- (* eps (+ -1/2 (* 1/4 (* x x)))) (sin x)) |
(* eps (+ -1/2 (* 1/4 (* x x)))) |
(+ -1/2 (* 1/4 (* x x))) |
(/ (* (- (* -1/2 (* (cos x) eps)) (sin x)) (* eps eps)) eps) |
(* (- (* -1/2 (* (cos x) eps)) (sin x)) (* eps eps)) |
(- (* -1/2 (* (cos x) eps)) (sin x)) |
(* -1/2 (* (cos x) eps)) |
(* eps 1/6) |
(* eps (* eps 1/6)) |
(* eps (+ (* (* x x) -1/120) 1/6)) |
(* (* x x) -1/120) |
(+ (* (* x x) -1/120) 1/6) |
(* (cos x) eps) |
| Outputs |
|---|
(+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))) (*.f64 (sin.f64 x) eps)) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))))) |
(+.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))) (*.f64 (sin.f64 x) eps))) |
(-.f64 (/.f64 (*.f64 (-.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 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))) (*.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))))) (*.f64 eps (-.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x))))) (*.f64 eps (/.f64 (pow.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))) (*.f64 (sin.f64 x) eps)))) (/.f64 (*.f64 (-.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 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))) (*.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))))) (-.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))) (*.f64 (sin.f64 x) eps))))) |
(fma.f64 (sin.f64 x) (*.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))))) |
(fma.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))))) |
(fma.f64 eps (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))) (*.f64 (sin.f64 x) eps))) |
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))))) |
(fma.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))) eps (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps (cos.f64 x))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))) (*.f64 (sin.f64 x) eps))) |
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x)) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))) (*.f64 (sin.f64 x) eps))) |
(fma.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))) (*.f64 (sin.f64 x) eps))) |
(fma.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))) (*.f64 (sin.f64 x) eps))) |
(fma.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) eps (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))) (*.f64 (sin.f64 x) eps))) |
(fma.f64 (*.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))) (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))))) |
(fma.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))) (*.f64 (sin.f64 x) eps))) |
(fma.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) eps) (cos.f64 x) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))) (*.f64 (sin.f64 x) eps))) |
(fma.f64 (*.f64 (*.f64 eps (cos.f64 x)) eps) #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))) (*.f64 (sin.f64 x) eps))) |
(fma.f64 (*.f64 eps (sin.f64 x)) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 (-.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 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))) (*.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))))) (*.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))) (-.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))) (*.f64 (sin.f64 x) eps))))) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))) (*.f64 (sin.f64 x) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 eps (-.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)))) (-.f64 (*.f64 (-.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 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))) (*.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))))) (pow.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (-.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 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))) (*.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))))) (*.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))) (-.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))) (*.f64 (sin.f64 x) eps))))) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))) (*.f64 (sin.f64 x) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (-.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)))) (-.f64 (*.f64 (-.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 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))) (*.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))))) (pow.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))) (*.f64 (sin.f64 x) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (-.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 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))) (*.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))))) (*.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))) (-.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))) (*.f64 (sin.f64 x) eps)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))) (*.f64 (sin.f64 x) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (-.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 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))) (*.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))))) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))) (*.f64 (sin.f64 x) eps)) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (-.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 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))) (*.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))))) (pow.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (*.f64 eps (-.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))) (*.f64 (sin.f64 x) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 (-.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 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))) (*.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))))) (*.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))) (-.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))) (*.f64 (sin.f64 x) eps))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))) (*.f64 (sin.f64 x) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (-.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 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))) (*.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))))) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))) (*.f64 (sin.f64 x) eps)) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (-.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 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))) (*.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))))) (pow.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (*.f64 eps (-.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (-.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 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))) (*.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))))))) (-.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))) (*.f64 (sin.f64 x) eps)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.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 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))) (*.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))))) (*.f64 eps (-.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x))))) (*.f64 (*.f64 eps (-.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)))) (pow.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 2 binary64)))) (*.f64 (*.f64 eps (-.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)))) (*.f64 eps (-.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)))))) |
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(/.f64 (neg.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/1728000 binary64))) #s(literal 1/216 binary64)))) (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))) |
(/.f64 (neg.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -1/120 binary64))) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/1728000 binary64))) #s(literal 1/216 binary64)) eps)) (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) eps)) (neg.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -1/120 binary64))) #s(literal -1/6 binary64)))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1/1728000 binary64))) (+.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/6 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x #s(literal -1/120 binary64)) eps)) (*.f64 x (*.f64 (*.f64 x #s(literal -1/120 binary64)) eps))) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x #s(literal -1/120 binary64)) eps)))))) |
(*.f64 eps (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/120 binary64))))) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/120 binary64)))) eps) |
(*.f64 x (*.f64 x #s(literal -1/120 binary64))) |
(*.f64 (*.f64 x x) #s(literal -1/120 binary64)) |
(*.f64 #s(literal -1/120 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal -1/120 binary64)) x) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/120 binary64)))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal -1/120 binary64))) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal -1/120 binary64))) #s(literal -1/6 binary64)))) |
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/120 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/120 binary64)))))) |
(fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x #s(literal -1/120 binary64)) x #s(literal 1/6 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/1728000 binary64))) #s(literal 1/216 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -1/120 binary64))) #s(literal -1/6 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/1728000 binary64))) #s(literal 1/216 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -1/120 binary64))) #s(literal -1/6 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/1728000 binary64))) #s(literal 1/216 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/1728000 binary64))) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal -1/120 binary64))) #s(literal -1/6 binary64))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/1728000 binary64))) #s(literal 1/216 binary64))) (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/1728000 binary64))) #s(literal 1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64))) (neg.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -1/120 binary64))) #s(literal -1/6 binary64)))) |
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/120 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal -1/120 binary64))) #s(literal -1/6 binary64))) (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -1/120 binary64))) #s(literal -1/6 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal -1/120 binary64))) #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/1728000 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/1728000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/1728000 binary64))))) #s(literal 1/10077696 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/1728000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/1728000 binary64)))) (-.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/373248000 binary64)))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/1728000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/1728000 binary64)))) #s(literal 1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/1728000 binary64))) #s(literal 1/216 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/1728000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/1728000 binary64)))) #s(literal 1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64))) (+.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)))) (+.f64 (*.f64 x (*.f64 x #s(literal -1/120 binary64))) #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64))) #s(literal 1/1296 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal -1/120 binary64))) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/1728000 binary64))) #s(literal 1/216 binary64)))) (neg.f64 (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -1/120 binary64))) #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64)))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/120 binary64)))))) |
(pow.f64 (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/1728000 binary64))) #s(literal 1/216 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -1/120 binary64))) #s(literal -1/6 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/1728000 binary64))) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))) |
(*.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal -1/120 binary64))) #s(literal -1/6 binary64)))) |
(*.f64 eps (cos.f64 x)) |
(*.f64 (cos.f64 x) eps) |
| 1× | egg-herbie |
| 5110× | *-lowering-*.f32 |
| 5110× | *-lowering-*.f64 |
| 3464× | +-lowering-+.f64 |
| 3464× | +-lowering-+.f32 |
| 1200× | distribute-lft-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 305 | 4500 |
| 1 | 1074 | 3847 |
| 2 | 3748 | 3732 |
| 0 | 8021 | 3732 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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))))))) |
(+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) |
(* -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))))) |
(* x (- (* 1/6 (pow eps 2)) 1)) |
(* x (- (+ (* -1/6 (* (pow x 2) (- (* 1/6 (pow eps 2)) 1))) (* 1/6 (pow eps 2))) 1)) |
(* x (- (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/6 (- (* 1/6 (pow eps 2)) 1)) (* 1/120 (* (pow x 2) (- (* 1/6 (pow eps 2)) 1)))))) 1)) |
(* x (- (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/6 (- (* 1/6 (pow eps 2)) 1)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (- (* 1/6 (pow eps 2)) 1))) (* 1/120 (- (* 1/6 (pow eps 2)) 1))))))) 1)) |
(* (sin x) (- (* 1/6 (pow eps 2)) 1)) |
(* (sin x) (- (* 1/6 (pow eps 2)) 1)) |
(* (sin x) (- (* 1/6 (pow eps 2)) 1)) |
(* (sin x) (- (* 1/6 (pow eps 2)) 1)) |
(* (sin x) (- (* 1/6 (pow eps 2)) 1)) |
(* (sin x) (- (* 1/6 (pow eps 2)) 1)) |
(* (sin x) (- (* 1/6 (pow eps 2)) 1)) |
(* (sin x) (- (* 1/6 (pow eps 2)) 1)) |
(* -1 (sin x)) |
(+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x)))) |
(+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x)))) |
(+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x)))) |
(* 1/6 (* (pow eps 2) (sin x))) |
(* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x)))) |
(* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x)))) |
(* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x)))) |
(* 1/6 (* (pow eps 2) (sin x))) |
(* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x)))) |
(* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x)))) |
(* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x)))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
-1 |
(- (* 1/6 (pow eps 2)) 1) |
(- (* 1/6 (pow eps 2)) 1) |
(- (* 1/6 (pow eps 2)) 1) |
(* 1/6 (pow eps 2)) |
(* (pow eps 2) (- 1/6 (/ 1 (pow eps 2)))) |
(* (pow eps 2) (- 1/6 (/ 1 (pow eps 2)))) |
(* (pow eps 2) (- 1/6 (/ 1 (pow eps 2)))) |
(* 1/6 (pow eps 2)) |
(* (pow eps 2) (- 1/6 (/ 1 (pow eps 2)))) |
(* (pow eps 2) (- 1/6 (/ 1 (pow eps 2)))) |
(* (pow eps 2) (- 1/6 (/ 1 (pow eps 2)))) |
(* -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)))))) |
(* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))) |
(* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))) |
(* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))) |
(* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))) |
(* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))) |
(* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))) |
(* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))) |
(* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))) |
(* -1 (* eps (* x (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))))))) |
(* -1 (* eps (* x (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))))))) |
(* -1 (* eps (* x (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))))))) |
(* -1 (* eps (* x (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))))))) |
(* -1 eps) |
(- (* 1/6 (* eps (pow x 2))) eps) |
(- (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))) eps) |
(- (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))) eps) |
(* -1/120 (* eps (pow x 4))) |
(* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))) |
(* (pow x 4) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))) |
(* (pow x 4) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))) |
(* -1/120 (* eps (pow x 4))) |
(* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))) |
(* (pow x 4) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))) |
(* (pow x 4) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))) |
(* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)) |
(* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)) |
(* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)) |
(* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)) |
(* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)) |
(* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)) |
(* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)) |
(* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)) |
(* -1 (* eps (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))))) |
(* -1 (* eps (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))))) |
(* -1 (* eps (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))))) |
(* -1 (* eps (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))))) |
(* 1/6 (* eps (pow x 2))) |
(* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))) |
(* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))) |
(* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))) |
(* -1/120 (* eps (pow x 4))) |
(* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))) |
(* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))) |
(* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))) |
(* -1/120 (* eps (pow x 4))) |
(* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))) |
(* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))) |
(* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))) |
(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))) |
(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))) |
(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))) |
(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))) |
(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))) |
(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))) |
(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))) |
(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))) |
(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))) |
(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))) |
(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))) |
(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -1 (* eps (sin x))) |
(* eps (+ (* -1 (sin x)) (* eps (- (* 1/4 (pow x 2)) 1/2)))) |
(* eps (+ (* -1 (sin x)) (* eps (- (* 1/4 (pow x 2)) 1/2)))) |
(* eps (+ (* -1 (sin x)) (* eps (- (* 1/4 (pow x 2)) 1/2)))) |
(* (pow eps 2) (- (* 1/4 (pow x 2)) 1/2)) |
(* (pow eps 2) (- (+ (* -1 (/ (sin x) eps)) (* 1/4 (pow x 2))) 1/2)) |
(* (pow eps 2) (- (+ (* -1 (/ (sin x) eps)) (* 1/4 (pow x 2))) 1/2)) |
(* (pow eps 2) (- (+ (* -1 (/ (sin x) eps)) (* 1/4 (pow x 2))) 1/2)) |
(* (pow eps 2) (- (* 1/4 (pow x 2)) 1/2)) |
(* (pow eps 2) (- (+ (* -1 (/ (sin x) eps)) (* 1/4 (pow x 2))) 1/2)) |
(* (pow eps 2) (- (+ (* -1 (/ (sin x) eps)) (* 1/4 (pow x 2))) 1/2)) |
(* (pow eps 2) (- (+ (* -1 (/ (sin x) eps)) (* 1/4 (pow x 2))) 1/2)) |
(* -1/2 (pow eps 2)) |
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2))) |
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x))))) |
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2))))))) |
(* 1/4 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/4 (pow eps 2)) (/ (* eps (- (* -1/2 eps) (sin x))) (pow x 2)))) |
(* (pow x 2) (+ (* 1/4 (pow eps 2)) (/ (* eps (- (* -1/2 eps) (sin x))) (pow x 2)))) |
(* (pow x 2) (+ (* 1/4 (pow eps 2)) (/ (* eps (- (* -1/2 eps) (sin x))) (pow x 2)))) |
(* 1/4 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/4 (pow eps 2)) (/ (* eps (- (* -1/2 eps) (sin x))) (pow x 2)))) |
(* (pow x 2) (+ (* 1/4 (pow eps 2)) (/ (* eps (- (* -1/2 eps) (sin x))) (pow x 2)))) |
(* (pow x 2) (+ (* 1/4 (pow eps 2)) (/ (* eps (- (* -1/2 eps) (sin x))) (pow x 2)))) |
(* -1 (sin x)) |
(- (* eps (- (* 1/4 (pow x 2)) 1/2)) (sin x)) |
(- (* eps (- (* 1/4 (pow x 2)) 1/2)) (sin x)) |
(- (* eps (- (* 1/4 (pow x 2)) 1/2)) (sin x)) |
(* eps (- (* 1/4 (pow x 2)) 1/2)) |
(* eps (- (+ (* -1 (/ (sin x) eps)) (* 1/4 (pow x 2))) 1/2)) |
(* eps (- (+ (* -1 (/ (sin x) eps)) (* 1/4 (pow x 2))) 1/2)) |
(* eps (- (+ (* -1 (/ (sin x) eps)) (* 1/4 (pow x 2))) 1/2)) |
(* eps (- (* 1/4 (pow x 2)) 1/2)) |
(* -1 (* eps (+ (* -1 (- (* 1/4 (pow x 2)) 1/2)) (/ (sin x) eps)))) |
(* -1 (* eps (+ (* -1 (- (* 1/4 (pow x 2)) 1/2)) (/ (sin x) eps)))) |
(* -1 (* eps (+ (* -1 (- (* 1/4 (pow x 2)) 1/2)) (/ (sin x) eps)))) |
(* -1/2 eps) |
(+ (* -1 x) (* -1/2 eps)) |
(+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) |
(+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))) |
(* 1/4 (* eps (pow x 2))) |
(* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)) (/ (sin x) (pow x 2)))) |
(* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)) (/ (sin x) (pow x 2)))) |
(* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)) (/ (sin x) (pow x 2)))) |
(* 1/4 (* eps (pow x 2))) |
(* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)) (/ (sin x) (pow x 2)))) |
(* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)) (/ (sin x) (pow x 2)))) |
(* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)) (/ (sin x) (pow x 2)))) |
(* eps (- (* 1/4 (pow x 2)) 1/2)) |
(* eps (- (* 1/4 (pow x 2)) 1/2)) |
(* eps (- (* 1/4 (pow x 2)) 1/2)) |
(* eps (- (* 1/4 (pow x 2)) 1/2)) |
(* eps (- (* 1/4 (pow x 2)) 1/2)) |
(* eps (- (* 1/4 (pow x 2)) 1/2)) |
(* eps (- (* 1/4 (pow x 2)) 1/2)) |
(* eps (- (* 1/4 (pow x 2)) 1/2)) |
(* eps (- (* 1/4 (pow x 2)) 1/2)) |
(* eps (- (* 1/4 (pow x 2)) 1/2)) |
(* eps (- (* 1/4 (pow x 2)) 1/2)) |
(* eps (- (* 1/4 (pow x 2)) 1/2)) |
(* -1/2 eps) |
(+ (* -1/2 eps) (* 1/4 (* eps (pow x 2)))) |
(+ (* -1/2 eps) (* 1/4 (* eps (pow x 2)))) |
(+ (* -1/2 eps) (* 1/4 (* eps (pow x 2)))) |
(* 1/4 (* eps (pow x 2))) |
(* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps))) |
(* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps))) |
(* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps))) |
(* 1/4 (* eps (pow x 2))) |
(* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps))) |
(* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps))) |
(* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps))) |
-1/2 |
(- (* 1/4 (pow x 2)) 1/2) |
(- (* 1/4 (pow x 2)) 1/2) |
(- (* 1/4 (pow x 2)) 1/2) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (- 1/4 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/4 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/4 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (- 1/4 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/4 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/4 (* 1/2 (/ 1 (pow x 2))))) |
(* -1/2 (pow eps 2)) |
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2))) |
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x))))) |
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2))))))) |
(* eps (- (* -1/2 (* eps (cos x))) (sin x))) |
(* eps (- (* -1/2 (* eps (cos x))) (sin x))) |
(* eps (- (* -1/2 (* eps (cos x))) (sin x))) |
(* eps (- (* -1/2 (* eps (cos x))) (sin x))) |
(* eps (- (* -1/2 (* eps (cos x))) (sin x))) |
(* eps (- (* -1/2 (* eps (cos x))) (sin x))) |
(* eps (- (* -1/2 (* eps (cos x))) (sin x))) |
(* eps (- (* -1/2 (* eps (cos x))) (sin x))) |
(* -1 (* eps (sin x))) |
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))) |
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))) |
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))) |
(* -1/2 (* (pow eps 2) (cos x))) |
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))) |
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))) |
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))) |
(* -1/2 (* (pow eps 2) (cos x))) |
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))) |
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))) |
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))) |
(* -1/2 (pow eps 3)) |
(+ (* -1 (* (pow eps 2) x)) (* -1/2 (pow eps 3))) |
(+ (* -1/2 (pow eps 3)) (* x (+ (* -1 (pow eps 2)) (* 1/4 (* (pow eps 3) x))))) |
(+ (* -1/2 (pow eps 3)) (* x (+ (* -1 (pow eps 2)) (* x (+ (* 1/6 (* (pow eps 2) x)) (* 1/4 (pow eps 3))))))) |
(* (pow eps 2) (- (* -1/2 (* eps (cos x))) (sin x))) |
(* (pow eps 2) (- (* -1/2 (* eps (cos x))) (sin x))) |
(* (pow eps 2) (- (* -1/2 (* eps (cos x))) (sin x))) |
(* (pow eps 2) (- (* -1/2 (* eps (cos x))) (sin x))) |
(* (pow eps 2) (- (* -1/2 (* eps (cos x))) (sin x))) |
(* (pow eps 2) (- (* -1/2 (* eps (cos x))) (sin x))) |
(* (pow eps 2) (- (* -1/2 (* eps (cos x))) (sin x))) |
(* (pow eps 2) (- (* -1/2 (* eps (cos x))) (sin x))) |
(* -1 (* (pow eps 2) (sin x))) |
(* (pow eps 2) (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))) |
(* (pow eps 2) (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))) |
(* (pow eps 2) (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))) |
(* -1/2 (* (pow eps 3) (cos x))) |
(* (pow eps 3) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))) |
(* (pow eps 3) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))) |
(* (pow eps 3) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))) |
(* -1/2 (* (pow eps 3) (cos x))) |
(* -1 (* (pow eps 3) (+ (* 1/2 (cos x)) (/ (sin x) eps)))) |
(* -1 (* (pow eps 3) (+ (* 1/2 (cos x)) (/ (sin x) eps)))) |
(* -1 (* (pow eps 3) (+ (* 1/2 (cos x)) (/ (sin x) eps)))) |
(* -1/2 eps) |
(+ (* -1 x) (* -1/2 eps)) |
(+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) |
(+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))) |
(- (* -1/2 (* eps (cos x))) (sin x)) |
(- (* -1/2 (* eps (cos x))) (sin x)) |
(- (* -1/2 (* eps (cos x))) (sin x)) |
(- (* -1/2 (* eps (cos x))) (sin x)) |
(- (* -1/2 (* eps (cos x))) (sin x)) |
(- (* -1/2 (* eps (cos x))) (sin x)) |
(- (* -1/2 (* eps (cos x))) (sin x)) |
(- (* -1/2 (* eps (cos x))) (sin x)) |
(* -1 (sin x)) |
(- (* -1/2 (* eps (cos x))) (sin x)) |
(- (* -1/2 (* eps (cos x))) (sin x)) |
(- (* -1/2 (* eps (cos x))) (sin x)) |
(* -1/2 (* eps (cos x))) |
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))) |
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))) |
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))) |
(* -1/2 (* eps (cos x))) |
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps)))) |
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps)))) |
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps)))) |
(* -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))) |
(* -1/2 (* 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))) |
(* 1/6 eps) |
(* 1/6 eps) |
(* 1/6 eps) |
(* 1/6 eps) |
(* 1/6 eps) |
(* 1/6 eps) |
(* 1/6 eps) |
(* 1/6 eps) |
(* 1/6 eps) |
(* 1/6 eps) |
(* 1/6 eps) |
(* 1/6 eps) |
(* 1/6 (pow eps 2)) |
(* 1/6 (pow eps 2)) |
(* 1/6 (pow eps 2)) |
(* 1/6 (pow eps 2)) |
(* 1/6 (pow eps 2)) |
(* 1/6 (pow eps 2)) |
(* 1/6 (pow eps 2)) |
(* 1/6 (pow eps 2)) |
(* 1/6 (pow eps 2)) |
(* 1/6 (pow eps 2)) |
(* 1/6 (pow eps 2)) |
(* 1/6 (pow eps 2)) |
(* eps (+ 1/6 (* -1/120 (pow x 2)))) |
(* eps (+ 1/6 (* -1/120 (pow x 2)))) |
(* eps (+ 1/6 (* -1/120 (pow x 2)))) |
(* eps (+ 1/6 (* -1/120 (pow x 2)))) |
(* eps (+ 1/6 (* -1/120 (pow x 2)))) |
(* eps (+ 1/6 (* -1/120 (pow x 2)))) |
(* eps (+ 1/6 (* -1/120 (pow x 2)))) |
(* eps (+ 1/6 (* -1/120 (pow x 2)))) |
(* eps (+ 1/6 (* -1/120 (pow x 2)))) |
(* eps (+ 1/6 (* -1/120 (pow x 2)))) |
(* eps (+ 1/6 (* -1/120 (pow x 2)))) |
(* eps (+ 1/6 (* -1/120 (pow x 2)))) |
(* 1/6 eps) |
(+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)) |
(+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)) |
(+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)) |
(* -1/120 (* eps (pow x 2))) |
(* (pow x 2) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))) |
(* (pow x 2) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))) |
(* (pow x 2) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))) |
(* -1/120 (* eps (pow x 2))) |
(* (pow x 2) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))) |
(* (pow x 2) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))) |
(* (pow x 2) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))) |
(* -1/120 (pow x 2)) |
(* -1/120 (pow x 2)) |
(* -1/120 (pow x 2)) |
(* -1/120 (pow x 2)) |
(* -1/120 (pow x 2)) |
(* -1/120 (pow x 2)) |
(* -1/120 (pow x 2)) |
(* -1/120 (pow x 2)) |
(* -1/120 (pow x 2)) |
(* -1/120 (pow x 2)) |
(* -1/120 (pow x 2)) |
(* -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))) |
(* -1/120 (pow x 2)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120)) |
(* -1/120 (pow x 2)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120)) |
eps |
(+ eps (* -1/2 (* eps (pow x 2)))) |
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2)))))) |
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps)))))) |
(* eps (cos x)) |
(* eps (cos x)) |
(* eps (cos x)) |
(* eps (cos x)) |
(* eps (cos x)) |
(* eps (cos x)) |
(* eps (cos x)) |
(* eps (cos x)) |
(* eps (cos x)) |
(* eps (cos x)) |
(* eps (cos x)) |
(* eps (cos x)) |
(* eps (cos x)) |
(* eps (cos x)) |
(* eps (cos x)) |
(* eps (cos x)) |
(* eps (cos x)) |
(* eps (cos x)) |
(* eps (cos x)) |
(* eps (cos x)) |
| Outputs |
|---|
(* -1/2 (pow eps 2)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) |
(+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1)))) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1))))) |
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(- (* -1/2 (* eps (cos x))) (sin x)) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)) |
(- (* -1/2 (* eps (cos x))) (sin x)) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)) |
(- (* -1/2 (* eps (cos x))) (sin x)) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)) |
(- (* -1/2 (* eps (cos x))) (sin x)) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)) |
(* -1 (sin x)) |
(-.f64 #s(literal 0 binary64) (sin.f64 x)) |
(- (* -1/2 (* eps (cos x))) (sin x)) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)) |
(- (* -1/2 (* eps (cos x))) (sin x)) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)) |
(- (* -1/2 (* eps (cos x))) (sin x)) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)) |
(* -1/2 (* eps (cos x))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) |
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))) |
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))) |
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))) |
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))) |
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))) |
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))) |
(* -1/2 (* eps (cos x))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) |
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps)))) |
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))) |
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps)))) |
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))) |
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps)))) |
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))) |
(* -1/2 eps) |
(*.f64 #s(literal -1/2 binary64) eps) |
(+ (* -1/2 eps) (* 1/4 (* eps (pow x 2)))) |
(*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))) |
(+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps)))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (*.f64 x (*.f64 eps (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))))) |
(+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2)))))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (*.f64 x x) (+.f64 (*.f64 eps #s(literal 1/4 binary64)) (*.f64 (*.f64 eps (*.f64 x x)) (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal 1/1440 binary64) (*.f64 x x))))))) |
(* -1/2 (* eps (cos x))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) |
(* -1/2 (* eps (cos x))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) |
(* -1/2 (* eps (cos x))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) |
(* -1/2 (* eps (cos x))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) |
(* -1/2 (* eps (cos x))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) |
(* -1/2 (* eps (cos x))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) |
(* -1/2 (* eps (cos x))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) |
(* -1/2 (* eps (cos x))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) |
(* -1/2 (* eps (cos x))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) |
(* -1/2 (* eps (cos x))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) |
(* -1/2 (* eps (cos x))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) |
(* -1/2 (* eps (cos x))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) |
(* -1/2 (* eps (cos x))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) |
(* -1/2 (* eps (cos x))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) |
(* -1/2 (* eps (cos x))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) |
(* -1/2 (* eps (cos x))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) |
(* -1/2 (* eps (cos x))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) |
(* -1/2 (* eps (cos x))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) |
(* -1/2 (* eps (cos x))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) |
(* -1/2 (* eps (cos x))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) |
(* 1/6 eps) |
(*.f64 eps #s(literal 1/6 binary64)) |
(* 1/6 eps) |
(*.f64 eps #s(literal 1/6 binary64)) |
(* 1/6 eps) |
(*.f64 eps #s(literal 1/6 binary64)) |
(* 1/6 eps) |
(*.f64 eps #s(literal 1/6 binary64)) |
(* 1/6 eps) |
(*.f64 eps #s(literal 1/6 binary64)) |
(* 1/6 eps) |
(*.f64 eps #s(literal 1/6 binary64)) |
(* 1/6 eps) |
(*.f64 eps #s(literal 1/6 binary64)) |
(* 1/6 eps) |
(*.f64 eps #s(literal 1/6 binary64)) |
(* 1/6 eps) |
(*.f64 eps #s(literal 1/6 binary64)) |
(* 1/6 eps) |
(*.f64 eps #s(literal 1/6 binary64)) |
(* 1/6 eps) |
(*.f64 eps #s(literal 1/6 binary64)) |
(* 1/6 eps) |
(*.f64 eps #s(literal 1/6 binary64)) |
(* 1/6 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) |
(* 1/6 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) |
(* 1/6 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) |
(* 1/6 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) |
(* 1/6 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) |
(* 1/6 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) |
(* 1/6 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) |
(* 1/6 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) |
(* 1/6 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) |
(* 1/6 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) |
(* 1/6 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) |
(* 1/6 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) |
(* eps (+ 1/6 (* -1/120 (pow x 2)))) |
(*.f64 eps (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64)))) |
(* eps (+ 1/6 (* -1/120 (pow x 2)))) |
(*.f64 eps (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64)))) |
(* eps (+ 1/6 (* -1/120 (pow x 2)))) |
(*.f64 eps (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64)))) |
(* eps (+ 1/6 (* -1/120 (pow x 2)))) |
(*.f64 eps (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64)))) |
(* eps (+ 1/6 (* -1/120 (pow x 2)))) |
(*.f64 eps (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64)))) |
(* eps (+ 1/6 (* -1/120 (pow x 2)))) |
(*.f64 eps (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64)))) |
(* eps (+ 1/6 (* -1/120 (pow x 2)))) |
(*.f64 eps (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64)))) |
(* eps (+ 1/6 (* -1/120 (pow x 2)))) |
(*.f64 eps (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64)))) |
(* eps (+ 1/6 (* -1/120 (pow x 2)))) |
(*.f64 eps (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64)))) |
(* eps (+ 1/6 (* -1/120 (pow x 2)))) |
(*.f64 eps (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64)))) |
(* eps (+ 1/6 (* -1/120 (pow x 2)))) |
(*.f64 eps (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64)))) |
(* eps (+ 1/6 (* -1/120 (pow x 2)))) |
(*.f64 eps (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64)))) |
(* 1/6 eps) |
(*.f64 eps #s(literal 1/6 binary64)) |
(+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)) |
(*.f64 eps (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64)))) |
(+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)) |
(*.f64 eps (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64)))) |
(+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)) |
(*.f64 eps (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64)))) |
(* -1/120 (* eps (pow x 2))) |
(*.f64 eps (*.f64 (*.f64 x x) #s(literal -1/120 binary64))) |
(* (pow x 2) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))) |
(*.f64 (*.f64 x x) (*.f64 eps (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
(* (pow x 2) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))) |
(*.f64 (*.f64 x x) (*.f64 eps (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
(* (pow x 2) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))) |
(*.f64 (*.f64 x x) (*.f64 eps (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
(* -1/120 (* eps (pow x 2))) |
(*.f64 eps (*.f64 (*.f64 x x) #s(literal -1/120 binary64))) |
(* (pow x 2) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))) |
(*.f64 (*.f64 x x) (*.f64 eps (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
(* (pow x 2) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))) |
(*.f64 (*.f64 x x) (*.f64 eps (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
(* (pow x 2) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))) |
(*.f64 (*.f64 x x) (*.f64 eps (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
(* -1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/120 binary64)) |
(* -1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/120 binary64)) |
(* -1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/120 binary64)) |
(* -1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/120 binary64)) |
(* -1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/120 binary64)) |
(* -1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/120 binary64)) |
(* -1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/120 binary64)) |
(* -1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/120 binary64)) |
(* -1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/120 binary64)) |
(* -1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/120 binary64)) |
(* -1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/120 binary64)) |
(* -1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/120 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -1/120 (pow x 2))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64))) |
(+ 1/6 (* -1/120 (pow x 2))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64))) |
(+ 1/6 (* -1/120 (pow x 2))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64))) |
(* -1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/120 binary64)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* -1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/120 binary64)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
eps |
(+ eps (* -1/2 (* eps (pow x 2)))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) |
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2)))))) |
(+.f64 eps (*.f64 (*.f64 eps (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) |
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps)))))) |
(+.f64 eps (*.f64 x (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (*.f64 eps (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))))))) |
(* eps (cos x)) |
(*.f64 eps (cos.f64 x)) |
(* eps (cos x)) |
(*.f64 eps (cos.f64 x)) |
(* eps (cos x)) |
(*.f64 eps (cos.f64 x)) |
(* eps (cos x)) |
(*.f64 eps (cos.f64 x)) |
(* eps (cos x)) |
(*.f64 eps (cos.f64 x)) |
(* eps (cos x)) |
(*.f64 eps (cos.f64 x)) |
(* eps (cos x)) |
(*.f64 eps (cos.f64 x)) |
(* eps (cos x)) |
(*.f64 eps (cos.f64 x)) |
(* eps (cos x)) |
(*.f64 eps (cos.f64 x)) |
(* eps (cos x)) |
(*.f64 eps (cos.f64 x)) |
(* eps (cos x)) |
(*.f64 eps (cos.f64 x)) |
(* eps (cos x)) |
(*.f64 eps (cos.f64 x)) |
(* eps (cos x)) |
(*.f64 eps (cos.f64 x)) |
(* eps (cos x)) |
(*.f64 eps (cos.f64 x)) |
(* eps (cos x)) |
(*.f64 eps (cos.f64 x)) |
(* eps (cos x)) |
(*.f64 eps (cos.f64 x)) |
(* eps (cos x)) |
(*.f64 eps (cos.f64 x)) |
(* eps (cos x)) |
(*.f64 eps (cos.f64 x)) |
(* eps (cos x)) |
(*.f64 eps (cos.f64 x)) |
(* eps (cos x)) |
(*.f64 eps (cos.f64 x)) |
Compiled 32345 to 2562 computations (92.1% saved)
41 alts after pruning (38 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1064 | 16 | 1080 |
| Fresh | 8 | 22 | 30 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1077 | 41 | 1118 |
| Status | Accuracy | Program |
|---|---|---|
| 24.2% | (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))) (*.f64 eps eps)) eps) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps))))) (*.f64 eps eps)) | |
| 84.2% | (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (*.f64 eps eps)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 eps eps))) eps) | |
| ▶ | 81.1% | (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x) (*.f64 eps eps)) eps) |
| 98.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x))))) | |
| 56.5% | (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) | |
| ✓ | 56.3% | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 79.6% | (-.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))))) | |
| 79.2% | (-.f64 #s(literal 0 binary64) (*.f64 eps x)) | |
| 54.1% | (+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) #s(literal -1 binary64)) | |
| 99.5% | (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))) (*.f64 (sin.f64 x) eps)) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))))) | |
| 96.7% | (+.f64 (*.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))))) (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))) | |
| 96.2% | (+.f64 (*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))) (*.f64 x (*.f64 eps (+.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))) | |
| 99.5% | (*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/3840 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64)) | |
| 99.5% | (*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/3840 binary64))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64)) | |
| 99.4% | (*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps #s(literal -1/48 binary64))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64)) | |
| 99.2% | (*.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64)) | |
| ▶ | 99.6% | (*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
| 31.7% | (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps)))))) | |
| 79.3% | (*.f64 (*.f64 eps x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64))))))) | |
| ▶ | 98.7% | (*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))) |
| 97.3% | (*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (/.f64 (sin.f64 x) eps)))) | |
| 54.5% | (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) | |
| 79.6% | (*.f64 x (-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (*.f64 eps (+.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal -1/120 binary64))))) (*.f64 eps #s(literal 1/6 binary64)))) eps)) | |
| 2.9% | (*.f64 x (*.f64 (*.f64 eps (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x)))) | |
| 79.5% | (*.f64 x (*.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) | |
| 32.9% | (*.f64 eps (/.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (sin.f64 x)) (*.f64 eps eps)) (*.f64 (+.f64 (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) (*.f64 (+.f64 (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 eps eps)))) | |
| 8.0% | (*.f64 eps (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64))) (pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64)))))) (-.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 #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))))))) | |
| 99.5% | (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64))))))) (sin.f64 x))) | |
| 96.9% | (*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))))))))) | |
| ▶ | 96.7% | (*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))) |
| 96.1% | (*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) x)) | |
| ✓ | 99.2% | (*.f64 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))) |
| 98.2% | (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))) | |
| 96.1% | (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) | |
| ✓ | 99.5% | (*.f64 eps (+.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64))))) |
| 96.7% | (*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64)))))))) | |
| 54.5% | (*.f64 eps (*.f64 x (*.f64 eps (*.f64 x #s(literal 1/4 binary64))))) | |
| 55.5% | (*.f64 eps (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))) | |
| 55.2% | (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) | |
| 80.9% | (neg.f64 (*.f64 eps (sin.f64 x))) | |
| ▶ | 54.1% | #s(literal 0 binary64) |
Compiled 1659 to 1040 computations (37.3% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) |
| ✓ | cost-diff | 0 | (*.f64 eps eps) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
| ✓ | cost-diff | 128 | (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))) |
| ✓ | cost-diff | 128 | (*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) eps) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x) (*.f64 eps eps)) |
| ✓ | cost-diff | 256 | (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x) (*.f64 eps eps)) eps) |
| ✓ | cost-diff | 0 | (*.f64 eps #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
| 2716× | +-lowering-+.f64 |
| 2716× | +-lowering-+.f32 |
| 2616× | *-lowering-*.f32 |
| 2616× | *-lowering-*.f64 |
| 1284× | sum3-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 233 |
| 1 | 104 | 214 |
| 2 | 286 | 210 |
| 3 | 916 | 208 |
| 4 | 3284 | 208 |
| 0 | 8161 | 208 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* (sin (* eps 1/2)) (sin (+ x (* eps 1/2)))) -2) |
(* (sin (* eps 1/2)) (sin (+ x (* eps 1/2)))) |
(sin (* eps 1/2)) |
(* eps 1/2) |
eps |
1/2 |
(sin (+ x (* eps 1/2))) |
(+ x (* eps 1/2)) |
x |
-2 |
0 |
(/ (* (- (* -1/2 eps) x) (* eps eps)) eps) |
(* (- (* -1/2 eps) x) (* eps eps)) |
(- (* -1/2 eps) x) |
(* -1/2 eps) |
-1/2 |
eps |
x |
(* eps eps) |
(* eps (- (* eps (+ -1/2 (* 1/4 (* x x)))) (* x (+ 1 (* x (* x (+ -1/6 (* (* x x) 1/120)))))))) |
eps |
(- (* eps (+ -1/2 (* 1/4 (* x x)))) (* x (+ 1 (* x (* x (+ -1/6 (* (* x x) 1/120))))))) |
(* eps (+ -1/2 (* 1/4 (* x x)))) |
(+ -1/2 (* 1/4 (* x x))) |
-1/2 |
(* 1/4 (* x x)) |
1/4 |
(* x x) |
x |
(* x (+ 1 (* x (* x (+ -1/6 (* (* x x) 1/120)))))) |
(+ 1 (* x (* x (+ -1/6 (* (* x x) 1/120))))) |
1 |
(* x (* x (+ -1/6 (* (* x x) 1/120)))) |
(* x (+ -1/6 (* (* x x) 1/120))) |
(+ -1/6 (* (* x x) 1/120)) |
-1/6 |
(* (* x x) 1/120) |
1/120 |
(* (* eps eps) (- (* -1/2 (cos x)) (/ (sin x) eps))) |
(* eps eps) |
eps |
(- (* -1/2 (cos x)) (/ (sin x) eps)) |
(* -1/2 (cos x)) |
-1/2 |
(cos x) |
x |
(/ (sin x) eps) |
(sin x) |
| Outputs |
|---|
(* (* (sin (* eps 1/2)) (sin (+ x (* eps 1/2)))) -2) |
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))) |
(* (sin (* eps 1/2)) (sin (+ x (* eps 1/2)))) |
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) |
(sin (* eps 1/2)) |
(sin.f64 (*.f64 eps #s(literal 1/2 binary64))) |
(* eps 1/2) |
(*.f64 eps #s(literal 1/2 binary64)) |
eps |
1/2 |
#s(literal 1/2 binary64) |
(sin (+ x (* eps 1/2))) |
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) |
(+ x (* eps 1/2)) |
(+.f64 x (*.f64 eps #s(literal 1/2 binary64))) |
x |
-2 |
#s(literal -2 binary64) |
0 |
#s(literal 0 binary64) |
(/ (* (- (* -1/2 eps) x) (* eps eps)) eps) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
(* (- (* -1/2 eps) x) (* eps eps)) |
(*.f64 eps (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))) |
(- (* -1/2 eps) x) |
(-.f64 (*.f64 eps #s(literal -1/2 binary64)) x) |
(* -1/2 eps) |
(*.f64 eps #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
eps |
x |
(* eps eps) |
(*.f64 eps eps) |
(* eps (- (* eps (+ -1/2 (* 1/4 (* x x)))) (* x (+ 1 (* x (* x (+ -1/6 (* (* x x) 1/120)))))))) |
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 eps #s(literal 1/4 binary64)) (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))))) |
eps |
(- (* eps (+ -1/2 (* 1/4 (* x x)))) (* x (+ 1 (* x (* x (+ -1/6 (* (* x x) 1/120))))))) |
(+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 eps #s(literal 1/4 binary64)) (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))) |
(* eps (+ -1/2 (* 1/4 (* x x)))) |
(*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
(+ -1/2 (* 1/4 (* x x))) |
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) |
-1/2 |
#s(literal -1/2 binary64) |
(* 1/4 (* x x)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
1/4 |
#s(literal 1/4 binary64) |
(* x x) |
(*.f64 x x) |
x |
(* x (+ 1 (* x (* x (+ -1/6 (* (* x x) 1/120)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
(+ 1 (* x (* x (+ -1/6 (* (* x x) 1/120))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
1 |
#s(literal 1 binary64) |
(* x (* x (+ -1/6 (* (* x x) 1/120)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* x (+ -1/6 (* (* x x) 1/120))) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(+ -1/6 (* (* x x) 1/120)) |
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
-1/6 |
#s(literal -1/6 binary64) |
(* (* x x) 1/120) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
(* (* eps eps) (- (* -1/2 (cos x)) (/ (sin x) eps))) |
(*.f64 eps (+.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (-.f64 #s(literal 0 binary64) (sin.f64 x)))) |
(* eps eps) |
(*.f64 eps eps) |
eps |
(- (* -1/2 (cos x)) (/ (sin x) eps)) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) |
(* -1/2 (cos x)) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 x)) |
-1/2 |
#s(literal -1/2 binary64) |
(cos x) |
(cos.f64 x) |
x |
(/ (sin x) eps) |
(/.f64 (sin.f64 x) eps) |
(sin x) |
(sin.f64 x) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) |
| ✓ | accuracy | 100.0% | (/.f64 (sin.f64 x) eps) |
| ✓ | accuracy | 99.3% | (*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))) |
| ✓ | accuracy | 99.8% | (*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 eps eps) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -1/2 binary64) eps) |
| ✓ | accuracy | 99.9% | (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x) (*.f64 eps eps)) |
| ✓ | accuracy | 84.9% | (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x) (*.f64 eps eps)) eps) |
| ✓ | accuracy | 100.0% | (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
| ✓ | accuracy | 99.8% | (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) |
| 99.0ms | 251× | 0 | valid |
| 8.0ms | 3× | 3 | valid |
| 2.0ms | 1× | 2 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 267 to 40 computations (85% saved)
ival-mult: 26.0ms (37.4% of total)ival-add: 12.0ms (17.2% of total)ival-sin: 12.0ms (17.2% of total)...c/correct-round.rkt:119:19: 7.0ms (10.1% of total)ival-div: 4.0ms (5.7% of total)ival-sub: 4.0ms (5.7% of total)ival-cos: 2.0ms (2.9% of total)const: 1.0ms (1.4% of total)backward-pass: 1.0ms (1.4% of total)| Inputs |
|---|
#<alt (* (* (sin (* eps 1/2)) (sin (+ x (* eps 1/2)))) -2)> |
#<alt (* (sin (* eps 1/2)) (sin (+ x (* eps 1/2))))> |
#<alt (sin (* eps 1/2))> |
#<alt (* eps 1/2)> |
#<alt (/ (* (- (* -1/2 eps) x) (* eps eps)) eps)> |
#<alt (* (- (* -1/2 eps) x) (* eps eps))> |
#<alt (- (* -1/2 eps) x)> |
#<alt (* -1/2 eps)> |
#<alt (* eps (- (* eps (+ -1/2 (* 1/4 (* x x)))) (* x (+ 1 (* x (* x (+ -1/6 (* (* x x) 1/120))))))))> |
#<alt (- (* eps (+ -1/2 (* 1/4 (* x x)))) (* x (+ 1 (* x (* x (+ -1/6 (* (* x x) 1/120)))))))> |
#<alt (* eps (+ -1/2 (* 1/4 (* x x))))> |
#<alt (+ -1/2 (* 1/4 (* x x)))> |
#<alt (* (* eps eps) (- (* -1/2 (cos x)) (/ (sin x) eps)))> |
#<alt (* eps eps)> |
#<alt (- (* -1/2 (cos x)) (/ (sin x) eps))> |
#<alt (* -1/2 (cos x))> |
#<alt (sin (+ x (* eps 1/2)))> |
#<alt (* x (+ -1/6 (* (* x x) 1/120)))> |
#<alt (* (* x x) 1/120)> |
#<alt (* x (* x (+ -1/6 (* (* x x) 1/120))))> |
#<alt (/ (sin x) eps)> |
#<alt (cos x)> |
| Outputs |
|---|
#<alt (* -1 (* eps (sin x)))> |
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))> |
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))> |
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))> |
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))> |
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))> |
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))> |
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))> |
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps)))))> |
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps)))))> |
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps)))))> |
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps)))))> |
#<alt (* -2 (pow (sin (* 1/2 eps)) 2))> |
#<alt (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))> |
#<alt (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))> |
#<alt (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))> |
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))> |
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))> |
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))> |
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))> |
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x)))))> |
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x)))))> |
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x)))))> |
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x)))))> |
#<alt (* 1/2 (* eps (sin x)))> |
#<alt (* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))> |
#<alt (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))> |
#<alt (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))> |
#<alt (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))> |
#<alt (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))> |
#<alt (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))> |
#<alt (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))> |
#<alt (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps))))> |
#<alt (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps))))> |
#<alt (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps))))> |
#<alt (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps))))> |
#<alt (pow (sin (* 1/2 eps)) 2)> |
#<alt (+ (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (pow (sin (* 1/2 eps)) 2))> |
#<alt (+ (* x (+ (* -1/2 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))> |
#<alt (+ (* x (+ (* x (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* -1/6 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))> |
#<alt (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))> |
#<alt (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))> |
#<alt (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))> |
#<alt (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))> |
#<alt (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x))))> |
#<alt (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x))))> |
#<alt (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x))))> |
#<alt (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x))))> |
#<alt (* 1/2 eps)> |
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#<alt (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))> |
#<alt (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))> |
#<alt (sin (* 1/2 eps))> |
#<alt (sin (* 1/2 eps))> |
#<alt (sin (* 1/2 eps))> |
#<alt (sin (* 1/2 eps))> |
#<alt (sin (* 1/2 eps))> |
#<alt (sin (* 1/2 eps))> |
#<alt (sin (* 1/2 eps))> |
#<alt (sin (* 1/2 eps))> |
#<alt (* 1/2 eps)> |
#<alt (* 1/2 eps)> |
#<alt (* 1/2 eps)> |
#<alt (* 1/2 eps)> |
#<alt (* 1/2 eps)> |
#<alt (* 1/2 eps)> |
#<alt (* 1/2 eps)> |
#<alt (* 1/2 eps)> |
#<alt (* 1/2 eps)> |
#<alt (* 1/2 eps)> |
#<alt (* 1/2 eps)> |
#<alt (* 1/2 eps)> |
#<alt (* -1 (* eps x))> |
#<alt (* eps (+ (* -1 x) (* -1/2 eps)))> |
#<alt (* eps (+ (* -1 x) (* -1/2 eps)))> |
#<alt (* eps (+ (* -1 x) (* -1/2 eps)))> |
#<alt (* -1/2 (pow eps 2))> |
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#<alt (* (pow eps 2) (- (* -1 (/ x eps)) 1/2))> |
#<alt (* (pow eps 2) (- (* -1 (/ x eps)) 1/2))> |
#<alt (* -1/2 (pow eps 2))> |
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#<alt (* (pow eps 2) (- (* -1 (/ x eps)) 1/2))> |
#<alt (* (pow eps 2) (- (* -1 (/ x eps)) 1/2))> |
#<alt (* -1/2 (pow eps 2))> |
#<alt (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))> |
#<alt (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))> |
#<alt (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))> |
#<alt (* -1 (* eps x))> |
#<alt (* x (+ (* -1 eps) (* -1/2 (/ (pow eps 2) x))))> |
#<alt (* x (+ (* -1 eps) (* -1/2 (/ (pow eps 2) x))))> |
#<alt (* x (+ (* -1 eps) (* -1/2 (/ (pow eps 2) x))))> |
#<alt (* -1 (* eps x))> |
#<alt (* -1 (* x (+ eps (* 1/2 (/ (pow eps 2) x)))))> |
#<alt (* -1 (* x (+ eps (* 1/2 (/ (pow eps 2) x)))))> |
#<alt (* -1 (* x (+ eps (* 1/2 (/ (pow eps 2) x)))))> |
#<alt (* -1 (* (pow eps 2) x))> |
#<alt (* (pow eps 2) (+ (* -1 x) (* -1/2 eps)))> |
#<alt (* (pow eps 2) (+ (* -1 x) (* -1/2 eps)))> |
#<alt (* (pow eps 2) (+ (* -1 x) (* -1/2 eps)))> |
#<alt (* -1/2 (pow eps 3))> |
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#<alt (* (pow eps 3) (- (* -1 (/ x eps)) 1/2))> |
#<alt (* (pow eps 3) (- (* -1 (/ x eps)) 1/2))> |
#<alt (* -1/2 (pow eps 3))> |
#<alt (* -1 (* (pow eps 3) (+ 1/2 (/ x eps))))> |
#<alt (* -1 (* (pow eps 3) (+ 1/2 (/ x eps))))> |
#<alt (* -1 (* (pow eps 3) (+ 1/2 (/ x eps))))> |
#<alt (* -1/2 (pow eps 3))> |
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#<alt (+ (* -1 (* (pow eps 2) x)) (* -1/2 (pow eps 3)))> |
#<alt (+ (* -1 (* (pow eps 2) x)) (* -1/2 (pow eps 3)))> |
#<alt (* -1 (* (pow eps 2) x))> |
#<alt (* x (+ (* -1 (pow eps 2)) (* -1/2 (/ (pow eps 3) x))))> |
#<alt (* x (+ (* -1 (pow eps 2)) (* -1/2 (/ (pow eps 3) x))))> |
#<alt (* x (+ (* -1 (pow eps 2)) (* -1/2 (/ (pow eps 3) x))))> |
#<alt (* -1 (* (pow eps 2) x))> |
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#<alt (* -1 (* x (+ (* 1/2 (/ (pow eps 3) x)) (pow eps 2))))> |
#<alt (* -1 (* x (+ (* 1/2 (/ (pow eps 3) x)) (pow eps 2))))> |
#<alt (* -1 x)> |
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#<alt (- (* -1/2 eps) x)> |
#<alt (- (* -1/2 eps) x)> |
#<alt (* -1/2 eps)> |
#<alt (* eps (- (* -1 (/ x eps)) 1/2))> |
#<alt (* eps (- (* -1 (/ x eps)) 1/2))> |
#<alt (* eps (- (* -1 (/ x eps)) 1/2))> |
#<alt (* -1/2 eps)> |
#<alt (* -1 (* eps (+ 1/2 (/ x eps))))> |
#<alt (* -1 (* eps (+ 1/2 (/ x eps))))> |
#<alt (* -1 (* eps (+ 1/2 (/ x eps))))> |
#<alt (* -1/2 eps)> |
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#<alt (+ (* -1 x) (* -1/2 eps))> |
#<alt (+ (* -1 x) (* -1/2 eps))> |
#<alt (* -1 x)> |
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#<alt (* x (- (* -1/2 (/ eps x)) 1))> |
#<alt (* x (- (* -1/2 (/ eps x)) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* 1/2 (/ eps x)))))> |
#<alt (* -1 (* x (+ 1 (* 1/2 (/ eps x)))))> |
#<alt (* -1 (* x (+ 1 (* 1/2 (/ eps x)))))> |
#<alt (* -1/2 eps)> |
#<alt (* -1/2 eps)> |
#<alt (* -1/2 eps)> |
#<alt (* -1/2 eps)> |
#<alt (* -1/2 eps)> |
#<alt (* -1/2 eps)> |
#<alt (* -1/2 eps)> |
#<alt (* -1/2 eps)> |
#<alt (* -1/2 eps)> |
#<alt (* -1/2 eps)> |
#<alt (* -1/2 eps)> |
#<alt (* -1/2 eps)> |
#<alt (* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))> |
#<alt (* eps (+ (* -1 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))) (* eps (- (* 1/4 (pow x 2)) 1/2))))> |
#<alt (* eps (+ (* -1 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))) (* eps (- (* 1/4 (pow x 2)) 1/2))))> |
#<alt (* eps (+ (* -1 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))) (* eps (- (* 1/4 (pow x 2)) 1/2))))> |
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#<alt (* (pow eps 2) (- (+ (* -1 (/ (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) eps)) (* 1/4 (pow x 2))) 1/2))> |
#<alt (* (pow eps 2) (- (+ (* -1 (/ (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) eps)) (* 1/4 (pow x 2))) 1/2))> |
#<alt (* (pow eps 2) (- (+ (* -1 (/ (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) eps)) (* 1/4 (pow x 2))) 1/2))> |
#<alt (* (pow eps 2) (- (* 1/4 (pow x 2)) 1/2))> |
#<alt (* (pow eps 2) (- (+ (* -1 (/ (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) eps)) (* 1/4 (pow x 2))) 1/2))> |
#<alt (* (pow eps 2) (- (+ (* -1 (/ (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) eps)) (* 1/4 (pow x 2))) 1/2))> |
#<alt (* (pow eps 2) (- (+ (* -1 (/ (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) eps)) (* 1/4 (pow x 2))) 1/2))> |
#<alt (* -1/2 (pow eps 2))> |
#<alt (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))> |
#<alt (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))> |
#<alt (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))> |
#<alt (* -1/120 (* eps (pow x 5)))> |
#<alt (* (pow x 5) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))> |
#<alt (* (pow x 5) (+ (* -1/120 eps) (+ (* 1/6 (/ eps (pow x 2))) (* 1/4 (/ (pow eps 2) (pow x 3))))))> |
#<alt (* (pow x 5) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (+ (* 1/6 (/ eps (pow x 2))) (* 1/4 (/ (pow eps 2) (pow x 3)))))))> |
#<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) (+ (* -1/4 (/ (pow eps 2) (pow x 3))) (+ (* -1/6 (/ eps (pow x 2))) (* 1/120 eps)))))> |
#<alt (* -1 (* (pow x 5) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/4 (pow eps 2))) (pow x 3))) (+ (* -1/6 (/ eps (pow x 2))) (* 1/120 eps)))))> |
#<alt (* -1 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))> |
#<alt (- (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))> |
#<alt (- (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))> |
#<alt (- (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))> |
#<alt (* eps (- (* 1/4 (pow x 2)) 1/2))> |
#<alt (* eps (- (+ (* -1 (/ (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) eps)) (* 1/4 (pow x 2))) 1/2))> |
#<alt (* eps (- (+ (* -1 (/ (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) eps)) (* 1/4 (pow x 2))) 1/2))> |
#<alt (* eps (- (+ (* -1 (/ (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) eps)) (* 1/4 (pow x 2))) 1/2))> |
#<alt (* eps (- (* 1/4 (pow x 2)) 1/2))> |
#<alt (* -1 (* eps (+ (* -1 (- (* 1/4 (pow x 2)) 1/2)) (/ (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) eps))))> |
#<alt (* -1 (* eps (+ (* -1 (- (* 1/4 (pow x 2)) 1/2)) (/ (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) eps))))> |
#<alt (* -1 (* eps (+ (* -1 (- (* 1/4 (pow x 2)) 1/2)) (/ (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) eps))))> |
#<alt (* -1/2 eps)> |
#<alt (+ (* -1 x) (* -1/2 eps))> |
#<alt (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))> |
#<alt (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))> |
#<alt (* -1/120 (pow x 5))> |
#<alt (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))> |
#<alt (* (pow x 5) (- (+ (* 1/4 (/ eps (pow x 3))) (* 1/6 (/ 1 (pow x 2)))) 1/120))> |
#<alt (* (pow x 5) (- (+ (* 1/4 (/ eps (pow x 3))) (* 1/6 (/ 1 (pow x 2)))) (+ 1/120 (/ 1 (pow x 4)))))> |
#<alt (* -1/120 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 5) (- (+ 1/120 (* -1/4 (/ eps (pow x 3)))) (* 1/6 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 5) (- (+ 1/120 (* -1 (/ (- (* 1/4 eps) (/ 1 x)) (pow x 3)))) (* 1/6 (/ 1 (pow x 2))))))> |
#<alt (* eps (- (* 1/4 (pow x 2)) 1/2))> |
#<alt (* eps (- (* 1/4 (pow x 2)) 1/2))> |
#<alt (* eps (- (* 1/4 (pow x 2)) 1/2))> |
#<alt (* eps (- (* 1/4 (pow x 2)) 1/2))> |
#<alt (* eps (- (* 1/4 (pow x 2)) 1/2))> |
#<alt (* eps (- (* 1/4 (pow x 2)) 1/2))> |
#<alt (* eps (- (* 1/4 (pow x 2)) 1/2))> |
#<alt (* eps (- (* 1/4 (pow x 2)) 1/2))> |
#<alt (* eps (- (* 1/4 (pow x 2)) 1/2))> |
#<alt (* eps (- (* 1/4 (pow x 2)) 1/2))> |
#<alt (* eps (- (* 1/4 (pow x 2)) 1/2))> |
#<alt (* eps (- (* 1/4 (pow x 2)) 1/2))> |
#<alt (* -1/2 eps)> |
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#<alt (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))> |
#<alt (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))> |
#<alt (* 1/4 (* eps (pow x 2)))> |
#<alt (* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)))> |
#<alt (* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)))> |
#<alt (* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)))> |
#<alt (* 1/4 (* eps (pow x 2)))> |
#<alt (* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)))> |
#<alt (* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)))> |
#<alt (* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)))> |
#<alt -1/2> |
#<alt (- (* 1/4 (pow x 2)) 1/2)> |
#<alt (- (* 1/4 (pow x 2)) 1/2)> |
#<alt (- (* 1/4 (pow x 2)) 1/2)> |
#<alt (* 1/4 (pow x 2))> |
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#<alt (* (pow x 2) (- 1/4 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/4 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/4 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* eps (sin x)))> |
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#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))> |
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))> |
#<alt (* -1/2 (* (pow eps 2) (cos x)))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))> |
#<alt (* -1/2 (* (pow eps 2) (cos x)))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))> |
#<alt (* -1/2 (pow eps 2))> |
#<alt (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))> |
#<alt (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))> |
#<alt (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))> |
#<alt (* (pow eps 2) (- (* -1/2 (cos x)) (/ (sin x) eps)))> |
#<alt (* (pow eps 2) (- (* -1/2 (cos x)) (/ (sin x) eps)))> |
#<alt (* (pow eps 2) (- (* -1/2 (cos x)) (/ (sin x) eps)))> |
#<alt (* (pow eps 2) (- (* -1/2 (cos x)) (/ (sin x) eps)))> |
#<alt (* (pow eps 2) (- (* -1/2 (cos x)) (/ (sin x) eps)))> |
#<alt (* (pow eps 2) (- (* -1/2 (cos x)) (/ (sin x) eps)))> |
#<alt (* (pow eps 2) (- (* -1/2 (cos x)) (/ (sin x) eps)))> |
#<alt (* (pow eps 2) (- (* -1/2 (cos x)) (/ (sin x) eps)))> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt -1/2> |
#<alt (- (* -1 (/ x eps)) 1/2)> |
#<alt (- (* x (- (* 1/4 x) (/ 1 eps))) 1/2)> |
#<alt (- (* x (- (* x (+ 1/4 (* 1/6 (/ x eps)))) (/ 1 eps))) 1/2)> |
#<alt (- (* -1/2 (cos x)) (/ (sin x) eps))> |
#<alt (- (* -1/2 (cos x)) (/ (sin x) eps))> |
#<alt (- (* -1/2 (cos x)) (/ (sin x) eps))> |
#<alt (- (* -1/2 (cos x)) (/ (sin x) eps))> |
#<alt (- (* -1/2 (cos x)) (/ (sin x) eps))> |
#<alt (- (* -1/2 (cos x)) (/ (sin x) eps))> |
#<alt (- (* -1/2 (cos x)) (/ (sin x) eps))> |
#<alt (- (* -1/2 (cos x)) (/ (sin x) eps))> |
#<alt (* -1 (/ (sin x) eps))> |
#<alt (/ (- (* -1/2 (* eps (cos x))) (sin x)) eps)> |
#<alt (/ (- (* -1/2 (* eps (cos x))) (sin x)) eps)> |
#<alt (/ (- (* -1/2 (* eps (cos x))) (sin x)) eps)> |
#<alt (* -1/2 (cos x))> |
#<alt (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))> |
#<alt (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))> |
#<alt (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))> |
#<alt (* -1/2 (cos x))> |
#<alt (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))> |
#<alt (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))> |
#<alt (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))> |
#<alt -1/2> |
#<alt (- (* 1/4 (pow x 2)) 1/2)> |
#<alt (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)> |
#<alt (- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)> |
#<alt (* -1/2 (cos x))> |
#<alt (* -1/2 (cos x))> |
#<alt (* -1/2 (cos x))> |
#<alt (* -1/2 (cos x))> |
#<alt (* -1/2 (cos x))> |
#<alt (* -1/2 (cos x))> |
#<alt (* -1/2 (cos x))> |
#<alt (* -1/2 (cos x))> |
#<alt (sin (* 1/2 eps))> |
#<alt (+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))> |
#<alt (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))> |
#<alt (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))> |
#<alt (sin (+ x (* 1/2 eps)))> |
#<alt (sin (+ x (* 1/2 eps)))> |
#<alt (sin (+ x (* 1/2 eps)))> |
#<alt (sin (+ x (* 1/2 eps)))> |
#<alt (sin (- (* 1/2 eps) (* -1 x)))> |
#<alt (sin (- (* 1/2 eps) (* -1 x)))> |
#<alt (sin (- (* 1/2 eps) (* -1 x)))> |
#<alt (sin (- (* 1/2 eps) (* -1 x)))> |
#<alt (sin x)> |
#<alt (+ (sin x) (* 1/2 (* eps (cos x))))> |
#<alt (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))> |
#<alt (+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))> |
#<alt (sin (+ x (* 1/2 eps)))> |
#<alt (sin (+ x (* 1/2 eps)))> |
#<alt (sin (+ x (* 1/2 eps)))> |
#<alt (sin (+ x (* 1/2 eps)))> |
#<alt (sin (- x (* -1/2 eps)))> |
#<alt (sin (- x (* -1/2 eps)))> |
#<alt (sin (- x (* -1/2 eps)))> |
#<alt (sin (- x (* -1/2 eps)))> |
#<alt (* -1/6 x)> |
#<alt (* x (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* x (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* x (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (/ x eps)> |
#<alt (* x (+ (* -1/6 (/ (pow x 2) eps)) (/ 1 eps)))> |
#<alt (* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) eps)) (* 1/6 (/ 1 eps)))) (/ 1 eps)))> |
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) eps)) (* 1/120 (/ 1 eps)))) (* 1/6 (/ 1 eps)))) (/ 1 eps)))> |
#<alt (/ (sin x) eps)> |
#<alt (/ (sin x) eps)> |
#<alt (/ (sin x) eps)> |
#<alt (/ (sin x) eps)> |
#<alt (/ (sin x) eps)> |
#<alt (/ (sin x) eps)> |
#<alt (/ (sin x) eps)> |
#<alt (/ (sin x) eps)> |
#<alt (/ (sin x) eps)> |
#<alt (/ (sin x) eps)> |
#<alt (/ (sin x) eps)> |
#<alt (/ (sin x) eps)> |
#<alt (/ (sin x) eps)> |
#<alt (/ (sin x) eps)> |
#<alt (/ (sin x) eps)> |
#<alt (/ (sin x) eps)> |
#<alt (/ (sin x) eps)> |
#<alt (/ (sin x) eps)> |
#<alt (/ (sin x) eps)> |
#<alt (/ (sin x) 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)> |
102 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | 0 | (* eps (- (* eps (+ -1/2 (* 1/4 (* x x)))) (* x (+ 1 (* x (* x (+ -1/6 (* (* x x) 1/120)))))))) |
| 1.0ms | x | @ | inf | (* (* eps eps) (- (* -1/2 (cos x)) (/ (sin x) eps))) |
| 1.0ms | x | @ | -inf | (* (* eps eps) (- (* -1/2 (cos x)) (/ (sin x) eps))) |
| 1.0ms | eps | @ | inf | (* (* (sin (* eps 1/2)) (sin (+ x (* eps 1/2)))) -2) |
| 1.0ms | x | @ | -inf | (* (* (sin (* eps 1/2)) (sin (+ x (* eps 1/2)))) -2) |
| 1× | batch-egg-rewrite |
| 3114× | *-lowering-*.f32 |
| 3114× | *-lowering-*.f64 |
| 2666× | fma-lowering-fma.f32 |
| 2666× | fma-lowering-fma.f64 |
| 2116× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 170 |
| 1 | 221 | 157 |
| 2 | 1925 | 152 |
| 0 | 8627 | 152 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* (sin (* eps 1/2)) (sin (+ x (* eps 1/2)))) -2) |
(* (sin (* eps 1/2)) (sin (+ x (* eps 1/2)))) |
(sin (* eps 1/2)) |
(* eps 1/2) |
(/ (* (- (* -1/2 eps) x) (* eps eps)) eps) |
(* (- (* -1/2 eps) x) (* eps eps)) |
(- (* -1/2 eps) x) |
(* -1/2 eps) |
(* eps (- (* eps (+ -1/2 (* 1/4 (* x x)))) (* x (+ 1 (* x (* x (+ -1/6 (* (* x x) 1/120)))))))) |
(- (* eps (+ -1/2 (* 1/4 (* x x)))) (* x (+ 1 (* x (* x (+ -1/6 (* (* x x) 1/120))))))) |
(* eps (+ -1/2 (* 1/4 (* x x)))) |
(+ -1/2 (* 1/4 (* x x))) |
(* (* eps eps) (- (* -1/2 (cos x)) (/ (sin x) eps))) |
(* eps eps) |
(- (* -1/2 (cos x)) (/ (sin x) eps)) |
(* -1/2 (cos x)) |
(sin (+ x (* eps 1/2))) |
(* x (+ -1/6 (* (* x x) 1/120))) |
(* (* x x) 1/120) |
(* x (* x (+ -1/6 (* (* x x) 1/120)))) |
(/ (sin x) eps) |
(cos x) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 (*.f64 eps #s(literal 1/2 binary64)) (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x))) (cos.f64 (+.f64 (*.f64 eps #s(literal 1/2 binary64)) (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x))))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 eps #s(literal 1/2 binary64)) (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x))) (cos.f64 (+.f64 (*.f64 eps #s(literal 1/2 binary64)) (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x)))) #s(literal -2 binary64)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 (*.f64 eps #s(literal 1/2 binary64)) (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x))) (cos.f64 (+.f64 (*.f64 eps #s(literal 1/2 binary64)) (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x)))))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 eps #s(literal 1/2 binary64)) (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x))) (cos.f64 (+.f64 (*.f64 eps #s(literal 1/2 binary64)) (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x)))) #s(literal -2 binary64))) #s(literal -2 binary64)) |
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x)) #s(literal -2 binary64))) |
(*.f64 (sin.f64 (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x)) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64))) |
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x))) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x)))) |
(*.f64 (*.f64 (sin.f64 (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x)) #s(literal -2 binary64)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x))) |
(+.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)))) |
(+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (cos.f64 (-.f64 (*.f64 eps #s(literal 1/2 binary64)) (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x))) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 (*.f64 eps #s(literal 1/2 binary64)) (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x))) #s(literal 2 binary64))) |
(fma.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)))) |
(fma.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (*.f64 eps #s(literal 1/2 binary64)) (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x))) (cos.f64 (+.f64 (*.f64 eps #s(literal 1/2 binary64)) (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x)))))) |
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 eps #s(literal 1/2 binary64)) (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x))) (cos.f64 (+.f64 (*.f64 eps #s(literal 1/2 binary64)) (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x) (*.f64 eps #s(literal 1/2 binary64)))) (cos.f64 (+.f64 (*.f64 eps #s(literal 1/2 binary64)) (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x)))) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (*.f64 eps #s(literal 1/2 binary64)) (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x))) (cos.f64 (+.f64 (*.f64 eps #s(literal 1/2 binary64)) (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x))))))) |
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 (*.f64 eps #s(literal 1/2 binary64)) (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x))) (cos.f64 (+.f64 (*.f64 eps #s(literal 1/2 binary64)) (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x))))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (cos.f64 (-.f64 (*.f64 eps #s(literal 1/2 binary64)) (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (*.f64 eps #s(literal 1/2 binary64)) (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x))))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x) (*.f64 eps #s(literal 1/2 binary64)))) (cos.f64 (+.f64 (*.f64 eps #s(literal 1/2 binary64)) (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x))))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 (*.f64 eps #s(literal 1/2 binary64)) (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x))) (cos.f64 (+.f64 (*.f64 eps #s(literal 1/2 binary64)) (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x)))))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (*.f64 eps #s(literal 1/2 binary64)) (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x))) (cos.f64 (+.f64 (*.f64 eps #s(literal 1/2 binary64)) (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x))))) #s(literal -1 binary64)) |
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x))) |
(*.f64 (sin.f64 (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 eps #s(literal 1/2 binary64)) (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x))) (cos.f64 (+.f64 (*.f64 eps #s(literal 1/2 binary64)) (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x)))) #s(literal 1/2 binary64)) |
(sin.f64 (*.f64 eps #s(literal 1/2 binary64))) |
(*.f64 eps #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) eps) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 eps (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))) (-.f64 #s(literal 0 binary64) eps))) |
(neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x) (neg.f64 (*.f64 eps eps))) eps)) |
(/.f64 (*.f64 eps (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))) eps) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x) (neg.f64 (*.f64 eps eps))) (-.f64 #s(literal 0 binary64) eps)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x))) (*.f64 eps eps)) (*.f64 (+.f64 (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)) (*.f64 x (+.f64 x (*.f64 eps #s(literal -1/2 binary64))))) eps)) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)) (*.f64 x x)) (*.f64 eps eps)) (*.f64 (+.f64 x (*.f64 eps #s(literal -1/2 binary64))) eps)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x) (neg.f64 (*.f64 eps eps)))) (neg.f64 (-.f64 #s(literal 0 binary64) eps))) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))) #s(literal 1 binary64)) eps) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x))) eps) (+.f64 (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)) (*.f64 x (+.f64 x (*.f64 eps #s(literal -1/2 binary64)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)) (*.f64 x x)) eps) (+.f64 x (*.f64 eps #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x))) eps)) (neg.f64 (+.f64 (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)) (*.f64 x (+.f64 x (*.f64 eps #s(literal -1/2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)) (*.f64 x x)) eps)) (neg.f64 (+.f64 x (*.f64 eps #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x))) (*.f64 eps eps))) (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)) (*.f64 x (+.f64 x (*.f64 eps #s(literal -1/2 binary64))))) eps))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)) (*.f64 x x)) (*.f64 eps eps))) (neg.f64 (*.f64 (+.f64 x (*.f64 eps #s(literal -1/2 binary64))) eps))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x) (neg.f64 (*.f64 eps eps))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) eps)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 eps (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) eps)) |
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(-.f64 (*.f64 (sin.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 eps #s(literal -1/2 binary64))))) (cos.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)) (+.f64 x (*.f64 eps #s(literal -1/2 binary64)))))) (*.f64 (cos.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 eps #s(literal -1/2 binary64))))) (sin.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)) (+.f64 x (*.f64 eps #s(literal -1/2 binary64))))))) |
(sin.f64 (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x)) |
(fma.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(fma.f64 (cos.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(fma.f64 (sin.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x))) |
(fma.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) #s(literal 2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) #s(literal 2 binary64)))) (neg.f64 (sin.f64 (+.f64 x (*.f64 eps #s(literal -1/2 binary64)))))) |
(+.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x #s(literal -1/6 binary64))) |
(fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/120 binary64)) (*.f64 x #s(literal -1/6 binary64))) |
(fma.f64 #s(literal -1/6 binary64) x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) x (*.f64 x #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64) (*.f64 x #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 x #s(literal 1/120 binary64)) (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) (+.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/6 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/6 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) (-.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(/.f64 (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64)))) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64))) x) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))) (neg.f64 (+.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/6 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/6 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) (neg.f64 (-.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64))))) (neg.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))) x)) (neg.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64))) x)) (neg.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x))))) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) x) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/120 binary64)) x) |
(+.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(+.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) x)) |
(+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (*.f64 x x))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) x (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) x)) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64)))) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64))))) (neg.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x x)) |
(*.f64 (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) x) |
(exp.f64 (*.f64 (log.f64 (/.f64 eps (sin.f64 x))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) eps)) |
(/.f64 #s(literal 1 binary64) (/.f64 eps (sin.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 eps (sin.f64 x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 eps (sin.f64 x))))) |
(/.f64 (sin.f64 x) eps) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) eps)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 eps (sin.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 eps (sin.f64 x)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) eps) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x))) (neg.f64 (-.f64 #s(literal 0 binary64) eps))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) eps)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) eps)))) |
(pow.f64 (/.f64 eps (sin.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 eps (sin.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) eps)) |
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) eps)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps))) |
(*.f64 (/.f64 #s(literal 1 binary64) eps) (sin.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) eps) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64))) |
(cos.f64 x) |
| 1× | egg-herbie |
| 5838× | *-lowering-*.f32 |
| 5838× | *-lowering-*.f64 |
| 3080× | +-lowering-+.f64 |
| 3080× | +-lowering-+.f32 |
| 1328× | distribute-lft-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 404 | 3827 |
| 1 | 1384 | 3411 |
| 2 | 4453 | 3372 |
| 0 | 8433 | 3372 |
| 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 (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x)))))) |
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x))))))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps))))) |
(* -2 (pow (sin (* 1/2 eps)) 2)) |
(+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2))) |
(+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2))))) |
(+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2)))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x))))) |
(* -2 (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x))))) |
(* 1/2 (* eps (sin x))) |
(* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x)))) |
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x)))))))) |
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x)))))))))) |
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))) |
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))) |
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))) |
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))) |
(* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps)))) |
(* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps)))) |
(* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps)))) |
(* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps)))) |
(pow (sin (* 1/2 eps)) 2) |
(+ (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (pow (sin (* 1/2 eps)) 2)) |
(+ (* x (+ (* -1/2 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2)) |
(+ (* x (+ (* x (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* -1/6 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2)) |
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))) |
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))) |
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))) |
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))) |
(* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x)))) |
(* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x)))) |
(* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x)))) |
(* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x)))) |
(* 1/2 eps) |
(* eps (+ 1/2 (* -1/48 (pow eps 2)))) |
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))) |
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))) |
(sin (* 1/2 eps)) |
(sin (* 1/2 eps)) |
(sin (* 1/2 eps)) |
(sin (* 1/2 eps)) |
(sin (* 1/2 eps)) |
(sin (* 1/2 eps)) |
(sin (* 1/2 eps)) |
(sin (* 1/2 eps)) |
(* 1/2 eps) |
(* 1/2 eps) |
(* 1/2 eps) |
(* 1/2 eps) |
(* 1/2 eps) |
(* 1/2 eps) |
(* 1/2 eps) |
(* 1/2 eps) |
(* 1/2 eps) |
(* 1/2 eps) |
(* 1/2 eps) |
(* 1/2 eps) |
(* -1 (* eps x)) |
(* eps (+ (* -1 x) (* -1/2 eps))) |
(* eps (+ (* -1 x) (* -1/2 eps))) |
(* eps (+ (* -1 x) (* -1/2 eps))) |
(* -1/2 (pow eps 2)) |
(* (pow eps 2) (- (* -1 (/ x eps)) 1/2)) |
(* (pow eps 2) (- (* -1 (/ x eps)) 1/2)) |
(* (pow eps 2) (- (* -1 (/ x eps)) 1/2)) |
(* -1/2 (pow eps 2)) |
(* (pow eps 2) (- (* -1 (/ x eps)) 1/2)) |
(* (pow eps 2) (- (* -1 (/ x eps)) 1/2)) |
(* (pow eps 2) (- (* -1 (/ x eps)) 1/2)) |
(* -1/2 (pow eps 2)) |
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2))) |
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2))) |
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2))) |
(* -1 (* eps x)) |
(* x (+ (* -1 eps) (* -1/2 (/ (pow eps 2) x)))) |
(* x (+ (* -1 eps) (* -1/2 (/ (pow eps 2) x)))) |
(* x (+ (* -1 eps) (* -1/2 (/ (pow eps 2) x)))) |
(* -1 (* eps x)) |
(* -1 (* x (+ eps (* 1/2 (/ (pow eps 2) x))))) |
(* -1 (* x (+ eps (* 1/2 (/ (pow eps 2) x))))) |
(* -1 (* x (+ eps (* 1/2 (/ (pow eps 2) x))))) |
(* -1 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* -1 x) (* -1/2 eps))) |
(* (pow eps 2) (+ (* -1 x) (* -1/2 eps))) |
(* (pow eps 2) (+ (* -1 x) (* -1/2 eps))) |
(* -1/2 (pow eps 3)) |
(* (pow eps 3) (- (* -1 (/ x eps)) 1/2)) |
(* (pow eps 3) (- (* -1 (/ x eps)) 1/2)) |
(* (pow eps 3) (- (* -1 (/ x eps)) 1/2)) |
(* -1/2 (pow eps 3)) |
(* -1 (* (pow eps 3) (+ 1/2 (/ x eps)))) |
(* -1 (* (pow eps 3) (+ 1/2 (/ x eps)))) |
(* -1 (* (pow eps 3) (+ 1/2 (/ x eps)))) |
(* -1/2 (pow eps 3)) |
(+ (* -1 (* (pow eps 2) x)) (* -1/2 (pow eps 3))) |
(+ (* -1 (* (pow eps 2) x)) (* -1/2 (pow eps 3))) |
(+ (* -1 (* (pow eps 2) x)) (* -1/2 (pow eps 3))) |
(* -1 (* (pow eps 2) x)) |
(* x (+ (* -1 (pow eps 2)) (* -1/2 (/ (pow eps 3) x)))) |
(* x (+ (* -1 (pow eps 2)) (* -1/2 (/ (pow eps 3) x)))) |
(* x (+ (* -1 (pow eps 2)) (* -1/2 (/ (pow eps 3) x)))) |
(* -1 (* (pow eps 2) x)) |
(* -1 (* x (+ (* 1/2 (/ (pow eps 3) x)) (pow eps 2)))) |
(* -1 (* x (+ (* 1/2 (/ (pow eps 3) x)) (pow eps 2)))) |
(* -1 (* x (+ (* 1/2 (/ (pow eps 3) x)) (pow eps 2)))) |
(* -1 x) |
(- (* -1/2 eps) x) |
(- (* -1/2 eps) x) |
(- (* -1/2 eps) x) |
(* -1/2 eps) |
(* eps (- (* -1 (/ x eps)) 1/2)) |
(* eps (- (* -1 (/ x eps)) 1/2)) |
(* eps (- (* -1 (/ x eps)) 1/2)) |
(* -1/2 eps) |
(* -1 (* eps (+ 1/2 (/ x eps)))) |
(* -1 (* eps (+ 1/2 (/ x eps)))) |
(* -1 (* eps (+ 1/2 (/ x eps)))) |
(* -1/2 eps) |
(+ (* -1 x) (* -1/2 eps)) |
(+ (* -1 x) (* -1/2 eps)) |
(+ (* -1 x) (* -1/2 eps)) |
(* -1 x) |
(* x (- (* -1/2 (/ eps x)) 1)) |
(* x (- (* -1/2 (/ eps x)) 1)) |
(* x (- (* -1/2 (/ eps x)) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ eps x))))) |
(* -1 (* x (+ 1 (* 1/2 (/ eps x))))) |
(* -1 (* x (+ 1 (* 1/2 (/ eps x))))) |
(* -1/2 eps) |
(* -1/2 eps) |
(* -1/2 eps) |
(* -1/2 eps) |
(* -1/2 eps) |
(* -1/2 eps) |
(* -1/2 eps) |
(* -1/2 eps) |
(* -1/2 eps) |
(* -1/2 eps) |
(* -1/2 eps) |
(* -1/2 eps) |
(* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
(* eps (+ (* -1 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))) (* eps (- (* 1/4 (pow x 2)) 1/2)))) |
(* eps (+ (* -1 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))) (* eps (- (* 1/4 (pow x 2)) 1/2)))) |
(* eps (+ (* -1 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))) (* eps (- (* 1/4 (pow x 2)) 1/2)))) |
(* (pow eps 2) (- (* 1/4 (pow x 2)) 1/2)) |
(* (pow eps 2) (- (+ (* -1 (/ (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) eps)) (* 1/4 (pow x 2))) 1/2)) |
(* (pow eps 2) (- (+ (* -1 (/ (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) eps)) (* 1/4 (pow x 2))) 1/2)) |
(* (pow eps 2) (- (+ (* -1 (/ (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) eps)) (* 1/4 (pow x 2))) 1/2)) |
(* (pow eps 2) (- (* 1/4 (pow x 2)) 1/2)) |
(* (pow eps 2) (- (+ (* -1 (/ (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) eps)) (* 1/4 (pow x 2))) 1/2)) |
(* (pow eps 2) (- (+ (* -1 (/ (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) eps)) (* 1/4 (pow x 2))) 1/2)) |
(* (pow eps 2) (- (+ (* -1 (/ (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) eps)) (* 1/4 (pow x 2))) 1/2)) |
(* -1/2 (pow eps 2)) |
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2))) |
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x))))) |
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2))))))) |
(* -1/120 (* eps (pow x 5))) |
(* (pow x 5) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))) |
(* (pow x 5) (+ (* -1/120 eps) (+ (* 1/6 (/ eps (pow x 2))) (* 1/4 (/ (pow eps 2) (pow x 3)))))) |
(* (pow x 5) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (+ (* 1/6 (/ eps (pow x 2))) (* 1/4 (/ (pow eps 2) (pow x 3))))))) |
(* -1/120 (* eps (pow x 5))) |
(* -1 (* (pow x 5) (+ (* -1/6 (/ eps (pow x 2))) (* 1/120 eps)))) |
(* -1 (* (pow x 5) (+ (* -1/4 (/ (pow eps 2) (pow x 3))) (+ (* -1/6 (/ eps (pow x 2))) (* 1/120 eps))))) |
(* -1 (* (pow x 5) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/4 (pow eps 2))) (pow x 3))) (+ (* -1/6 (/ eps (pow x 2))) (* 1/120 eps))))) |
(* -1 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))) |
(- (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))) |
(- (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))) |
(- (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))) |
(* eps (- (* 1/4 (pow x 2)) 1/2)) |
(* eps (- (+ (* -1 (/ (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) eps)) (* 1/4 (pow x 2))) 1/2)) |
(* eps (- (+ (* -1 (/ (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) eps)) (* 1/4 (pow x 2))) 1/2)) |
(* eps (- (+ (* -1 (/ (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) eps)) (* 1/4 (pow x 2))) 1/2)) |
(* eps (- (* 1/4 (pow x 2)) 1/2)) |
(* -1 (* eps (+ (* -1 (- (* 1/4 (pow x 2)) 1/2)) (/ (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) eps)))) |
(* -1 (* eps (+ (* -1 (- (* 1/4 (pow x 2)) 1/2)) (/ (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) eps)))) |
(* -1 (* eps (+ (* -1 (- (* 1/4 (pow x 2)) 1/2)) (/ (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) eps)))) |
(* -1/2 eps) |
(+ (* -1 x) (* -1/2 eps)) |
(+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) |
(+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))) |
(* -1/120 (pow x 5)) |
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)) |
(* (pow x 5) (- (+ (* 1/4 (/ eps (pow x 3))) (* 1/6 (/ 1 (pow x 2)))) 1/120)) |
(* (pow x 5) (- (+ (* 1/4 (/ eps (pow x 3))) (* 1/6 (/ 1 (pow x 2)))) (+ 1/120 (/ 1 (pow x 4))))) |
(* -1/120 (pow x 5)) |
(* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (- (+ 1/120 (* -1/4 (/ eps (pow x 3)))) (* 1/6 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (- (+ 1/120 (* -1 (/ (- (* 1/4 eps) (/ 1 x)) (pow x 3)))) (* 1/6 (/ 1 (pow x 2)))))) |
(* eps (- (* 1/4 (pow x 2)) 1/2)) |
(* eps (- (* 1/4 (pow x 2)) 1/2)) |
(* eps (- (* 1/4 (pow x 2)) 1/2)) |
(* eps (- (* 1/4 (pow x 2)) 1/2)) |
(* eps (- (* 1/4 (pow x 2)) 1/2)) |
(* eps (- (* 1/4 (pow x 2)) 1/2)) |
(* eps (- (* 1/4 (pow x 2)) 1/2)) |
(* eps (- (* 1/4 (pow x 2)) 1/2)) |
(* eps (- (* 1/4 (pow x 2)) 1/2)) |
(* eps (- (* 1/4 (pow x 2)) 1/2)) |
(* eps (- (* 1/4 (pow x 2)) 1/2)) |
(* eps (- (* 1/4 (pow x 2)) 1/2)) |
(* -1/2 eps) |
(+ (* -1/2 eps) (* 1/4 (* eps (pow x 2)))) |
(+ (* -1/2 eps) (* 1/4 (* eps (pow x 2)))) |
(+ (* -1/2 eps) (* 1/4 (* eps (pow x 2)))) |
(* 1/4 (* eps (pow x 2))) |
(* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps))) |
(* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps))) |
(* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps))) |
(* 1/4 (* eps (pow x 2))) |
(* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps))) |
(* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps))) |
(* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps))) |
-1/2 |
(- (* 1/4 (pow x 2)) 1/2) |
(- (* 1/4 (pow x 2)) 1/2) |
(- (* 1/4 (pow x 2)) 1/2) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (- 1/4 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/4 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/4 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (- 1/4 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/4 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/4 (* 1/2 (/ 1 (pow x 2))))) |
(* -1 (* eps (sin x))) |
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))) |
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))) |
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))) |
(* -1/2 (* (pow eps 2) (cos x))) |
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))) |
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))) |
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))) |
(* -1/2 (* (pow eps 2) (cos x))) |
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))) |
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))) |
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))) |
(* -1/2 (pow eps 2)) |
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2))) |
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x))))) |
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2))))))) |
(* (pow eps 2) (- (* -1/2 (cos x)) (/ (sin x) eps))) |
(* (pow eps 2) (- (* -1/2 (cos x)) (/ (sin x) eps))) |
(* (pow eps 2) (- (* -1/2 (cos x)) (/ (sin x) eps))) |
(* (pow eps 2) (- (* -1/2 (cos x)) (/ (sin x) eps))) |
(* (pow eps 2) (- (* -1/2 (cos x)) (/ (sin x) eps))) |
(* (pow eps 2) (- (* -1/2 (cos x)) (/ (sin x) eps))) |
(* (pow eps 2) (- (* -1/2 (cos x)) (/ (sin x) eps))) |
(* (pow eps 2) (- (* -1/2 (cos x)) (/ (sin x) eps))) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
-1/2 |
(- (* -1 (/ x eps)) 1/2) |
(- (* x (- (* 1/4 x) (/ 1 eps))) 1/2) |
(- (* x (- (* x (+ 1/4 (* 1/6 (/ x eps)))) (/ 1 eps))) 1/2) |
(- (* -1/2 (cos x)) (/ (sin x) eps)) |
(- (* -1/2 (cos x)) (/ (sin x) eps)) |
(- (* -1/2 (cos x)) (/ (sin x) eps)) |
(- (* -1/2 (cos x)) (/ (sin x) eps)) |
(- (* -1/2 (cos x)) (/ (sin x) eps)) |
(- (* -1/2 (cos x)) (/ (sin x) eps)) |
(- (* -1/2 (cos x)) (/ (sin x) eps)) |
(- (* -1/2 (cos x)) (/ (sin x) eps)) |
(* -1 (/ (sin x) eps)) |
(/ (- (* -1/2 (* eps (cos x))) (sin x)) eps) |
(/ (- (* -1/2 (* eps (cos x))) (sin x)) eps) |
(/ (- (* -1/2 (* eps (cos x))) (sin x)) eps) |
(* -1/2 (cos x)) |
(+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) |
(+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) |
(+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) |
(* -1/2 (cos x)) |
(+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) |
(+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) |
(+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) |
-1/2 |
(- (* 1/4 (pow x 2)) 1/2) |
(- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2) |
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2) |
(* -1/2 (cos x)) |
(* -1/2 (cos x)) |
(* -1/2 (cos x)) |
(* -1/2 (cos x)) |
(* -1/2 (cos x)) |
(* -1/2 (cos x)) |
(* -1/2 (cos x)) |
(* -1/2 (cos x)) |
(sin (* 1/2 eps)) |
(+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps)))) |
(+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps))))))) |
(+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps))))))))) |
(sin (+ x (* 1/2 eps))) |
(sin (+ x (* 1/2 eps))) |
(sin (+ x (* 1/2 eps))) |
(sin (+ x (* 1/2 eps))) |
(sin (- (* 1/2 eps) (* -1 x))) |
(sin (- (* 1/2 eps) (* -1 x))) |
(sin (- (* 1/2 eps) (* -1 x))) |
(sin (- (* 1/2 eps) (* -1 x))) |
(sin x) |
(+ (sin x) (* 1/2 (* eps (cos x)))) |
(+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x))))) |
(+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x)))))))) |
(sin (+ x (* 1/2 eps))) |
(sin (+ x (* 1/2 eps))) |
(sin (+ x (* 1/2 eps))) |
(sin (+ x (* 1/2 eps))) |
(sin (- x (* -1/2 eps))) |
(sin (- x (* -1/2 eps))) |
(sin (- x (* -1/2 eps))) |
(sin (- x (* -1/2 eps))) |
(* -1/6 x) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(* 1/120 (pow x 3)) |
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(/ x eps) |
(* x (+ (* -1/6 (/ (pow x 2) eps)) (/ 1 eps))) |
(* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) eps)) (* 1/6 (/ 1 eps)))) (/ 1 eps))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) eps)) (* 1/120 (/ 1 eps)))) (* 1/6 (/ 1 eps)))) (/ 1 eps))) |
(/ (sin x) eps) |
(/ (sin x) eps) |
(/ (sin x) eps) |
(/ (sin x) eps) |
(/ (sin x) eps) |
(/ (sin x) eps) |
(/ (sin x) eps) |
(/ (sin x) eps) |
(/ (sin x) eps) |
(/ (sin x) eps) |
(/ (sin x) eps) |
(/ (sin x) eps) |
(/ (sin x) eps) |
(/ (sin x) eps) |
(/ (sin x) eps) |
(/ (sin x) eps) |
(/ (sin x) eps) |
(/ (sin x) eps) |
(/ (sin x) eps) |
(/ (sin x) 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) |
| Outputs |
|---|
(* -1 (* eps (sin x))) |
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x))) |
(* 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 (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x)))))) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x))) |
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x))))))))) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64))))))) (sin.f64 x))) |
(* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))) |
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))) |
(* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))) |
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))) |
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(*.f64 x #s(literal -1/6 binary64)) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* 1/120 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* 1/120 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* 1/120 (pow x 4)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* 1/120 (pow x 4)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(/ x eps) |
(/.f64 x eps) |
(* x (+ (* -1/6 (/ (pow x 2) eps)) (/ 1 eps))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) eps))) |
(* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) eps)) (* 1/6 (/ 1 eps)))) (/ 1 eps))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal -1/6 binary64) eps) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) eps))))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) eps)) (* 1/120 (/ 1 eps)))) (* 1/6 (/ 1 eps)))) (/ 1 eps))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal -1/5040 binary64)) (/.f64 #s(literal 1/120 binary64) eps)))) (/.f64 #s(literal -1/6 binary64) eps))))) |
(/ (sin x) eps) |
(/.f64 (sin.f64 x) eps) |
(/ (sin x) eps) |
(/.f64 (sin.f64 x) eps) |
(/ (sin x) eps) |
(/.f64 (sin.f64 x) eps) |
(/ (sin x) eps) |
(/.f64 (sin.f64 x) eps) |
(/ (sin x) eps) |
(/.f64 (sin.f64 x) eps) |
(/ (sin x) eps) |
(/.f64 (sin.f64 x) eps) |
(/ (sin x) eps) |
(/.f64 (sin.f64 x) eps) |
(/ (sin x) eps) |
(/.f64 (sin.f64 x) eps) |
(/ (sin x) eps) |
(/.f64 (sin.f64 x) eps) |
(/ (sin x) eps) |
(/.f64 (sin.f64 x) eps) |
(/ (sin x) eps) |
(/.f64 (sin.f64 x) eps) |
(/ (sin x) eps) |
(/.f64 (sin.f64 x) eps) |
(/ (sin x) eps) |
(/.f64 (sin.f64 x) eps) |
(/ (sin x) eps) |
(/.f64 (sin.f64 x) eps) |
(/ (sin x) eps) |
(/.f64 (sin.f64 x) eps) |
(/ (sin x) eps) |
(/.f64 (sin.f64 x) eps) |
(/ (sin x) eps) |
(/.f64 (sin.f64 x) eps) |
(/ (sin x) eps) |
(/.f64 (sin.f64 x) eps) |
(/ (sin x) eps) |
(/.f64 (sin.f64 x) eps) |
(/ (sin x) eps) |
(/.f64 (sin.f64 x) eps) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
Compiled 31434 to 2197 computations (93% saved)
46 alts after pruning (39 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 869 | 17 | 886 |
| Fresh | 11 | 22 | 33 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 881 | 46 | 927 |
| Status | Accuracy | Program |
|---|---|---|
| 70.3% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 eps x))) eps) | |
| 24.2% | (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))) (*.f64 eps eps)) eps) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps))))) (*.f64 eps eps)) | |
| 81.1% | (/.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))) (*.f64 eps eps)) eps) | |
| 56.5% | (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) | |
| ✓ | 56.3% | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 79.2% | (-.f64 #s(literal 0 binary64) (*.f64 eps x)) | |
| 54.1% | (+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) #s(literal -1 binary64)) | |
| 99.5% | (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))) (*.f64 (sin.f64 x) eps)) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))))) | |
| 96.7% | (+.f64 (*.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))))) (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))) | |
| 96.1% | (*.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x) eps) | |
| 99.5% | (*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/3840 binary64)))))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) | |
| 99.5% | (*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/645120 binary64))))))))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) | |
| 99.4% | (*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 eps eps)))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) | |
| 99.2% | (*.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) | |
| ✓ | 99.6% | (*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
| 31.7% | (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps)))))) | |
| 79.3% | (*.f64 (*.f64 eps x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64))))))) | |
| ✓ | 98.7% | (*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))) |
| 98.7% | (*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) eps) (sin.f64 x)))) | |
| 80.6% | (*.f64 (*.f64 eps eps) (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) eps))) | |
| 97.7% | (*.f64 (*.f64 eps eps) (-.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps))) | |
| 95.7% | (*.f64 (*.f64 eps eps) (-.f64 #s(literal -1/2 binary64) (/.f64 x eps))) | |
| 95.6% | (*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) eps))))) | |
| 54.5% | (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) | |
| 55.2% | (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) | |
| 96.1% | (*.f64 x (-.f64 (/.f64 (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) x) eps)) | |
| 79.6% | (*.f64 x (-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (*.f64 eps (+.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal -1/120 binary64))))) (*.f64 eps #s(literal 1/6 binary64)))) eps)) | |
| 2.9% | (*.f64 x (*.f64 (*.f64 eps (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x)))) | |
| 79.5% | (*.f64 x (*.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) | |
| 32.9% | (*.f64 eps (/.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (sin.f64 x)) (*.f64 eps eps)) (*.f64 (+.f64 (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) (*.f64 (+.f64 (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 eps eps)))) | |
| 8.0% | (*.f64 eps (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64))) (pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64)))))) (-.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 #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))))))) | |
| 99.5% | (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64))))))) (sin.f64 x))) | |
| 96.9% | (*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))))))))) | |
| ✓ | 96.7% | (*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))) |
| 96.1% | (*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) x)) | |
| 79.4% | (*.f64 eps (-.f64 (*.f64 eps (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))) | |
| ✓ | 99.2% | (*.f64 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))) |
| 96.6% | (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))) | |
| 98.2% | (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))) | |
| ✓ | 99.5% | (*.f64 eps (+.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64))))) |
| 96.7% | (*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64)))))))) | |
| 54.5% | (*.f64 eps (*.f64 x (*.f64 eps (*.f64 x #s(literal 1/4 binary64))))) | |
| 96.1% | (*.f64 eps (*.f64 eps (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)))) | |
| 55.5% | (*.f64 eps (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))) | |
| 80.9% | (neg.f64 (*.f64 eps (sin.f64 x))) | |
| ✓ | 54.1% | #s(literal 0 binary64) |
Compiled 2173 to 934 computations (57% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 eps x)) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
(*.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x) eps) |
(*.f64 eps (*.f64 eps (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)))) |
(*.f64 eps (*.f64 x (*.f64 eps (*.f64 x #s(literal 1/4 binary64))))) |
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 eps eps) (-.f64 #s(literal -1/2 binary64) (/.f64 x eps))) |
(+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 eps x))) eps) |
(*.f64 eps (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))) |
(*.f64 x (*.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
(*.f64 x (-.f64 (/.f64 (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) x) eps)) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x) (*.f64 eps eps)) eps) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) x)) |
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))) |
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 eps #s(literal 1/4 binary64))))))) |
(*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) eps))))) |
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))) (*.f64 eps eps)) eps) |
(*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 (*.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) eps)) |
(*.f64 (*.f64 eps x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64))))))) |
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64)))))))) |
(*.f64 x (*.f64 (*.f64 eps (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))))) (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))) |
(+.f64 (*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))) (*.f64 x (*.f64 eps (+.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 eps (-.f64 (*.f64 eps (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))) |
(*.f64 x (-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (*.f64 eps (+.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal -1/120 binary64))))) (*.f64 eps #s(literal 1/6 binary64)))) eps)) |
(-.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))))) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))))))))) |
(+.f64 (cos.f64 eps) #s(literal -1 binary64)) |
(neg.f64 (*.f64 eps (sin.f64 x))) |
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x))) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))) |
(*.f64 (*.f64 eps eps) (-.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps))) |
(*.f64 (*.f64 eps eps) (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) eps))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) eps)) |
(*.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (sin.f64 x))) |
(*.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (/.f64 (sin.f64 x) eps)))) |
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 eps eps)))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps #s(literal -1/48 binary64))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/3840 binary64)))))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/3840 binary64))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/645120 binary64))))))))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/3840 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(*.f64 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))) |
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))) |
(*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))) |
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
(*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) eps) (sin.f64 x)))) |
(+.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) eps)) (*.f64 eps (-.f64 #s(literal 0 binary64) (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x)) (*.f64 eps eps)) eps) |
(*.f64 (*.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(*.f64 eps (+.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64))))) |
(+.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) eps)) (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))) |
(+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))) (*.f64 (sin.f64 x) eps)) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (*.f64 eps eps)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 eps eps))) eps) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))) (*.f64 eps eps)) eps) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps))))) (*.f64 eps eps)) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))) (*.f64 eps (*.f64 eps eps))) eps) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps))))) (*.f64 eps (*.f64 eps eps))) |
(*.f64 eps (/.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (sin.f64 x)) (*.f64 eps eps)) (*.f64 (+.f64 (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) (*.f64 (+.f64 (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 eps eps)))) |
(fma.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))) eps (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) eps))) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64))))))) (sin.f64 x))) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x))) |
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) |
(*.f64 eps (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64))) (pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64)))))) (-.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 #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))))))) |
| Outputs |
|---|
(fma.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))) eps (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) eps))) |
3 calls:
| 21.0ms | eps |
| 20.0ms | x |
| 16.0ms | (-.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 |
|---|
#s(literal 0 binary64) |
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 eps x)) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
(*.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x) eps) |
(*.f64 eps (*.f64 eps (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)))) |
(*.f64 eps (*.f64 x (*.f64 eps (*.f64 x #s(literal 1/4 binary64))))) |
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 eps eps) (-.f64 #s(literal -1/2 binary64) (/.f64 x eps))) |
(+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 eps x))) eps) |
(*.f64 eps (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))) |
(*.f64 x (*.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
(*.f64 x (-.f64 (/.f64 (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) x) eps)) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x) (*.f64 eps eps)) eps) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) x)) |
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))) |
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 eps #s(literal 1/4 binary64))))))) |
(*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) eps))))) |
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))) (*.f64 eps eps)) eps) |
(*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 (*.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) eps)) |
(*.f64 (*.f64 eps x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64))))))) |
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64)))))))) |
(*.f64 x (*.f64 (*.f64 eps (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))))) (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))) |
(+.f64 (*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))) (*.f64 x (*.f64 eps (+.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 eps (-.f64 (*.f64 eps (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))) |
(*.f64 x (-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (*.f64 eps (+.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal -1/120 binary64))))) (*.f64 eps #s(literal 1/6 binary64)))) eps)) |
(-.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))))) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))))))))) |
(+.f64 (cos.f64 eps) #s(literal -1 binary64)) |
(neg.f64 (*.f64 eps (sin.f64 x))) |
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x))) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))) |
(*.f64 (*.f64 eps eps) (-.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps))) |
(*.f64 (*.f64 eps eps) (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) eps))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) eps)) |
(*.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (sin.f64 x))) |
(*.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (/.f64 (sin.f64 x) eps)))) |
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 eps eps)))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps #s(literal -1/48 binary64))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/3840 binary64)))))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/3840 binary64))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/645120 binary64))))))))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/3840 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(*.f64 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))) |
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))) |
(*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))) |
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
(*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) eps) (sin.f64 x)))) |
(+.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) eps)) (*.f64 eps (-.f64 #s(literal 0 binary64) (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x)) (*.f64 eps eps)) eps) |
(*.f64 (*.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(*.f64 eps (+.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64))))) |
(+.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) eps)) (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))) |
(+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))) (*.f64 (sin.f64 x) eps)) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (*.f64 eps eps)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 eps eps))) eps) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))) (*.f64 eps eps)) eps) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps))))) (*.f64 eps eps)) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))) (*.f64 eps (*.f64 eps eps))) eps) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps))))) (*.f64 eps (*.f64 eps eps))) |
(*.f64 eps (/.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (sin.f64 x)) (*.f64 eps eps)) (*.f64 (+.f64 (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) (*.f64 (+.f64 (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 eps eps)))) |
| Outputs |
|---|
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
3 calls:
| 19.0ms | x |
| 18.0ms | eps |
| 15.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | eps |
| 99.6% | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 eps x)) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
(*.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x) eps) |
(*.f64 eps (*.f64 eps (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)))) |
(*.f64 eps (*.f64 x (*.f64 eps (*.f64 x #s(literal 1/4 binary64))))) |
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 eps eps) (-.f64 #s(literal -1/2 binary64) (/.f64 x eps))) |
(+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 eps x))) eps) |
(*.f64 eps (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))) |
(*.f64 x (*.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
(*.f64 x (-.f64 (/.f64 (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) x) eps)) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x) (*.f64 eps eps)) eps) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) x)) |
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))) |
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 eps #s(literal 1/4 binary64))))))) |
(*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) eps))))) |
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))) (*.f64 eps eps)) eps) |
(*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 (*.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) eps)) |
(*.f64 (*.f64 eps x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64))))))) |
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64)))))))) |
(*.f64 x (*.f64 (*.f64 eps (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))))) (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))) |
(+.f64 (*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))) (*.f64 x (*.f64 eps (+.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 eps (-.f64 (*.f64 eps (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))) |
(*.f64 x (-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (*.f64 eps (+.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal -1/120 binary64))))) (*.f64 eps #s(literal 1/6 binary64)))) eps)) |
(-.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))))) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))))))))) |
(+.f64 (cos.f64 eps) #s(literal -1 binary64)) |
(neg.f64 (*.f64 eps (sin.f64 x))) |
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x))) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))) |
(*.f64 (*.f64 eps eps) (-.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps))) |
(*.f64 (*.f64 eps eps) (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) eps))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) eps)) |
(*.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (sin.f64 x))) |
(*.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (/.f64 (sin.f64 x) eps)))) |
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 eps eps)))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps #s(literal -1/48 binary64))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/3840 binary64)))))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/3840 binary64))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/645120 binary64))))))))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/3840 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(*.f64 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))) |
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))) |
(*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/645120 binary64))))))))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
3 calls:
| 20.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 15.0ms | x |
| 14.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | eps |
| 99.5% | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 eps x)) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
(*.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x) eps) |
(*.f64 eps (*.f64 eps (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)))) |
(*.f64 eps (*.f64 x (*.f64 eps (*.f64 x #s(literal 1/4 binary64))))) |
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 eps eps) (-.f64 #s(literal -1/2 binary64) (/.f64 x eps))) |
(+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 eps x))) eps) |
(*.f64 eps (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))) |
(*.f64 x (*.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
(*.f64 x (-.f64 (/.f64 (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) x) eps)) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x) (*.f64 eps eps)) eps) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) x)) |
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))) |
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 eps #s(literal 1/4 binary64))))))) |
(*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) eps))))) |
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))) (*.f64 eps eps)) eps) |
(*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 (*.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) eps)) |
(*.f64 (*.f64 eps x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64))))))) |
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64)))))))) |
(*.f64 x (*.f64 (*.f64 eps (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))))) (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))) |
(+.f64 (*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))) (*.f64 x (*.f64 eps (+.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 eps (-.f64 (*.f64 eps (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))) |
(*.f64 x (-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (*.f64 eps (+.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal -1/120 binary64))))) (*.f64 eps #s(literal 1/6 binary64)))) eps)) |
(-.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))))) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))))))))) |
(+.f64 (cos.f64 eps) #s(literal -1 binary64)) |
(neg.f64 (*.f64 eps (sin.f64 x))) |
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x))) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))) |
(*.f64 (*.f64 eps eps) (-.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps))) |
(*.f64 (*.f64 eps eps) (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) eps))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) eps)) |
(*.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (sin.f64 x))) |
(*.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (/.f64 (sin.f64 x) eps)))) |
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 eps eps)))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps #s(literal -1/48 binary64))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/3840 binary64)))))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/3840 binary64))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/3840 binary64)))))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
2 calls:
| 14.0ms | eps |
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | eps |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 eps x)) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
(*.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x) eps) |
(*.f64 eps (*.f64 eps (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)))) |
(*.f64 eps (*.f64 x (*.f64 eps (*.f64 x #s(literal 1/4 binary64))))) |
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 eps eps) (-.f64 #s(literal -1/2 binary64) (/.f64 x eps))) |
(+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 eps x))) eps) |
(*.f64 eps (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))) |
(*.f64 x (*.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
(*.f64 x (-.f64 (/.f64 (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) x) eps)) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x) (*.f64 eps eps)) eps) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) x)) |
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))) |
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 eps #s(literal 1/4 binary64))))))) |
(*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) eps))))) |
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))) (*.f64 eps eps)) eps) |
(*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 (*.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) eps)) |
(*.f64 (*.f64 eps x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64))))))) |
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64)))))))) |
(*.f64 x (*.f64 (*.f64 eps (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))))) (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))) |
(+.f64 (*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))) (*.f64 x (*.f64 eps (+.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 eps (-.f64 (*.f64 eps (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))) |
(*.f64 x (-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (*.f64 eps (+.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal -1/120 binary64))))) (*.f64 eps #s(literal 1/6 binary64)))) eps)) |
(-.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))))) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))))))))) |
(+.f64 (cos.f64 eps) #s(literal -1 binary64)) |
(neg.f64 (*.f64 eps (sin.f64 x))) |
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x))) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))) |
(*.f64 (*.f64 eps eps) (-.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps))) |
(*.f64 (*.f64 eps eps) (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) eps))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) eps)) |
(*.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (sin.f64 x))) |
(*.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (/.f64 (sin.f64 x) eps)))) |
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 eps eps)))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps #s(literal -1/48 binary64))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 eps eps)))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
2 calls:
| 13.0ms | x |
| 12.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
| 99.4% | 1 | eps |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 eps x)) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
(*.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x) eps) |
(*.f64 eps (*.f64 eps (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)))) |
(*.f64 eps (*.f64 x (*.f64 eps (*.f64 x #s(literal 1/4 binary64))))) |
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 eps eps) (-.f64 #s(literal -1/2 binary64) (/.f64 x eps))) |
(+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 eps x))) eps) |
(*.f64 eps (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))) |
(*.f64 x (*.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
(*.f64 x (-.f64 (/.f64 (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) x) eps)) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x) (*.f64 eps eps)) eps) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) x)) |
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))) |
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 eps #s(literal 1/4 binary64))))))) |
(*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) eps))))) |
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))) (*.f64 eps eps)) eps) |
(*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 (*.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) eps)) |
(*.f64 (*.f64 eps x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64))))))) |
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64)))))))) |
(*.f64 x (*.f64 (*.f64 eps (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))))) (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))) |
(+.f64 (*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))) (*.f64 x (*.f64 eps (+.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 eps (-.f64 (*.f64 eps (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))) |
(*.f64 x (-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (*.f64 eps (+.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal -1/120 binary64))))) (*.f64 eps #s(literal 1/6 binary64)))) eps)) |
(-.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))))) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))))))))) |
(+.f64 (cos.f64 eps) #s(literal -1 binary64)) |
(neg.f64 (*.f64 eps (sin.f64 x))) |
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x))) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))) |
(*.f64 (*.f64 eps eps) (-.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps))) |
(*.f64 (*.f64 eps eps) (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) eps))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) eps)) |
(*.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (sin.f64 x))) |
(*.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (/.f64 (sin.f64 x) eps)))) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
2 calls:
| 13.0ms | x |
| 12.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | x |
| 99.2% | 1 | eps |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 eps x)) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
(*.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x) eps) |
(*.f64 eps (*.f64 eps (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)))) |
(*.f64 eps (*.f64 x (*.f64 eps (*.f64 x #s(literal 1/4 binary64))))) |
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 eps eps) (-.f64 #s(literal -1/2 binary64) (/.f64 x eps))) |
(+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 eps x))) eps) |
(*.f64 eps (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))) |
(*.f64 x (*.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
(*.f64 x (-.f64 (/.f64 (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) x) eps)) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x) (*.f64 eps eps)) eps) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) x)) |
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))) |
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 eps #s(literal 1/4 binary64))))))) |
(*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) eps))))) |
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))) (*.f64 eps eps)) eps) |
(*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 (*.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) eps)) |
(*.f64 (*.f64 eps x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64))))))) |
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64)))))))) |
(*.f64 x (*.f64 (*.f64 eps (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))))) (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))) |
(+.f64 (*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))) (*.f64 x (*.f64 eps (+.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 eps (-.f64 (*.f64 eps (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))) |
(*.f64 x (-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (*.f64 eps (+.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal -1/120 binary64))))) (*.f64 eps #s(literal 1/6 binary64)))) eps)) |
(-.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))))) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))))))))) |
(+.f64 (cos.f64 eps) #s(literal -1 binary64)) |
(neg.f64 (*.f64 eps (sin.f64 x))) |
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x))) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))) |
(*.f64 (*.f64 eps eps) (-.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps))) |
(*.f64 (*.f64 eps eps) (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) eps))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) eps)) |
| Outputs |
|---|
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))) |
2 calls:
| 12.0ms | eps |
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 1 | x |
| 98.2% | 1 | eps |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 eps x)) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
(*.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x) eps) |
(*.f64 eps (*.f64 eps (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)))) |
(*.f64 eps (*.f64 x (*.f64 eps (*.f64 x #s(literal 1/4 binary64))))) |
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 eps eps) (-.f64 #s(literal -1/2 binary64) (/.f64 x eps))) |
(+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 eps x))) eps) |
(*.f64 eps (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))) |
(*.f64 x (*.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
(*.f64 x (-.f64 (/.f64 (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) x) eps)) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x) (*.f64 eps eps)) eps) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) x)) |
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))) |
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 eps #s(literal 1/4 binary64))))))) |
(*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) eps))))) |
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))) (*.f64 eps eps)) eps) |
(*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 (*.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) eps)) |
(*.f64 (*.f64 eps x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64))))))) |
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64)))))))) |
(*.f64 x (*.f64 (*.f64 eps (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))))) (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))) |
(+.f64 (*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))) (*.f64 x (*.f64 eps (+.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 eps (-.f64 (*.f64 eps (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))) |
(*.f64 x (-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (*.f64 eps (+.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal -1/120 binary64))))) (*.f64 eps #s(literal 1/6 binary64)))) eps)) |
(-.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))))) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))))))))) |
(+.f64 (cos.f64 eps) #s(literal -1 binary64)) |
(neg.f64 (*.f64 eps (sin.f64 x))) |
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x))) |
| Outputs |
|---|
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))))))))) |
2 calls:
| 11.0ms | x |
| 10.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 1 | x |
| 96.9% | 1 | eps |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 eps x)) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
(*.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x) eps) |
(*.f64 eps (*.f64 eps (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)))) |
(*.f64 eps (*.f64 x (*.f64 eps (*.f64 x #s(literal 1/4 binary64))))) |
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 eps eps) (-.f64 #s(literal -1/2 binary64) (/.f64 x eps))) |
(+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 eps x))) eps) |
(*.f64 eps (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))) |
(*.f64 x (*.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
(*.f64 x (-.f64 (/.f64 (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) x) eps)) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x) (*.f64 eps eps)) eps) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) x)) |
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))) |
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 eps #s(literal 1/4 binary64))))))) |
(*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) eps))))) |
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))) (*.f64 eps eps)) eps) |
(*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 (*.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) eps)) |
(*.f64 (*.f64 eps x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64))))))) |
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64)))))))) |
(*.f64 x (*.f64 (*.f64 eps (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))))) (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))) |
(+.f64 (*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))) (*.f64 x (*.f64 eps (+.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 eps (-.f64 (*.f64 eps (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))) |
(*.f64 x (-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (*.f64 eps (+.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal -1/120 binary64))))) (*.f64 eps #s(literal 1/6 binary64)))) eps)) |
(-.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))))) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))) |
| Outputs |
|---|
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64)))))))) |
2 calls:
| 9.0ms | x |
| 9.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.7% | 1 | eps |
| 96.7% | 1 | x |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 eps x)) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
(*.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x) eps) |
(*.f64 eps (*.f64 eps (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)))) |
(*.f64 eps (*.f64 x (*.f64 eps (*.f64 x #s(literal 1/4 binary64))))) |
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 eps eps) (-.f64 #s(literal -1/2 binary64) (/.f64 x eps))) |
(+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 eps x))) eps) |
(*.f64 eps (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))) |
(*.f64 x (*.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
(*.f64 x (-.f64 (/.f64 (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) x) eps)) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x) (*.f64 eps eps)) eps) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) x)) |
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))) |
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 eps #s(literal 1/4 binary64))))))) |
(*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) eps))))) |
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))) (*.f64 eps eps)) eps) |
(*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 (*.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) eps)) |
(*.f64 (*.f64 eps x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64))))))) |
| Outputs |
|---|
(*.f64 x (-.f64 (/.f64 (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) x) eps)) |
2 calls:
| 8.0ms | x |
| 7.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.1% | 1 | eps |
| 96.1% | 1 | x |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 eps x)) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
(*.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x) eps) |
(*.f64 eps (*.f64 eps (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)))) |
(*.f64 eps (*.f64 x (*.f64 eps (*.f64 x #s(literal 1/4 binary64))))) |
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 eps eps) (-.f64 #s(literal -1/2 binary64) (/.f64 x eps))) |
(+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 eps x))) eps) |
(*.f64 eps (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))) |
(*.f64 x (*.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
| Outputs |
|---|
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
2 calls:
| 5.0ms | eps |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.1% | 1 | x |
| 96.1% | 1 | eps |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 eps x)) |
| Outputs |
|---|
(-.f64 #s(literal 0 binary64) (*.f64 eps x)) |
2 calls:
| 2.0ms | eps |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.2% | 1 | eps |
| 79.2% | 1 | x |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) |
| Outputs |
|---|
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) |
2 calls:
| 3.0ms | x |
| 2.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.2% | 1 | x |
| 55.2% | 1 | eps |
Compiled 6 to 4 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 0 binary64) |
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
| Outputs |
|---|
#s(literal 0 binary64) |
2 calls:
| 1.0ms | x |
| 1.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.1% | 1 | x |
| 54.1% | 1 | eps |
Compiled 6 to 4 computations (33.3% saved)
| 1× | egg-herbie |
| 124× | *-commutative_binary64 |
| 72× | +-commutative_binary64 |
| 42× | sub-neg_binary64 |
| 34× | neg-mul-1_binary64 |
| 32× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 205 |
| 1 | 165 | 205 |
| 2 | 188 | 205 |
| 3 | 203 | 205 |
| 4 | 221 | 205 |
| 5 | 240 | 205 |
| 6 | 256 | 205 |
| 7 | 268 | 205 |
| 8 | 283 | 205 |
| 9 | 295 | 205 |
| 10 | 301 | 205 |
| 11 | 304 | 205 |
| 12 | 305 | 205 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))) eps (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) eps))) |
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/645120 binary64))))))))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/3840 binary64)))))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 eps eps)))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))))))))) |
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64)))))))) |
(*.f64 x (-.f64 (/.f64 (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) x) eps)) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 eps x)) |
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) |
#s(literal 0 binary64) |
| Outputs |
|---|
(fma.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))) eps (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) eps))) |
(fma.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))))) eps (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/645120 binary64))))))))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/645120 binary64))))))))))) |
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/3840 binary64)))))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/3840 binary64)))))))) |
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 eps eps)))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 eps eps)))))) |
(*.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))) |
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))))))))) |
(*.f64 eps (+.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))))))))) |
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64)))))))) |
(*.f64 x (-.f64 (/.f64 (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) x) eps)) |
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 eps x)) |
(-.f64 #s(literal 0 binary64) (*.f64 x eps)) |
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) |
#s(literal 0 binary64) |
| 5838× | *-lowering-*.f32 |
| 5838× | *-lowering-*.f64 |
| 5490× | *-lowering-*.f32 |
| 5490× | *-lowering-*.f64 |
| 5110× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 481 |
| 1 | 304 | 458 |
| 2 | 777 | 457 |
| 3 | 2938 | 457 |
| 0 | 8476 | 457 |
| 0 | 6 | 16 |
| 1 | 50 | 16 |
| 2 | 412 | 16 |
| 3 | 5247 | 16 |
| 0 | 8061 | 16 |
| 0 | 33 | 130 |
| 1 | 178 | 124 |
| 2 | 1852 | 124 |
| 0 | 8466 | 124 |
| 0 | 305 | 4500 |
| 1 | 1074 | 3847 |
| 2 | 3748 | 3732 |
| 0 | 8021 | 3732 |
| 0 | 404 | 3827 |
| 1 | 1384 | 3411 |
| 2 | 4453 | 3372 |
| 0 | 8433 | 3372 |
| 0 | 38 | 174 |
| 1 | 204 | 166 |
| 2 | 1733 | 162 |
| 0 | 8620 | 162 |
| 0 | 380 | 3250 |
| 1 | 1310 | 2852 |
| 2 | 4237 | 2792 |
| 0 | 8287 | 2792 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 657 to 397 computations (39.6% saved)
Compiled 464 to 208 computations (55.2% saved)
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