
Time bar (total: 9.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 50.4% | 49.6% | 0% | 0% | 0% | 0 |
| 100% | 50.4% | 0% | 49.6% | 0% | 0% | 0% | 1 |
Compiled 12 to 8 computations (33.3% saved)
ival-sub: 0.0ms (0% of total)ival-and: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)ival-sin: 0.0ms (0% of total)ival-<: 0.0ms (0% of total)| 761.0ms | 7938× | 1 | valid |
| 24.0ms | 318× | 0 | valid |
ival-sin: 228.0ms (45% of total)ival-sub: 98.0ms (19.3% of total)backward-pass: 89.0ms (17.6% of total)ival-<: 72.0ms (14.2% of total)const: 10.0ms (2% of total)ival-and: 9.0ms (1.8% of total)| 2× | egg-herbie |
| 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 | 7 | 14 |
| 1 | 17 | 13 |
| 2 | 50 | 12 |
| 3 | 118 | 12 |
| 4 | 257 | 12 |
| 5 | 350 | 12 |
| 0 | 3 | 4 |
| 1 | 5 | 4 |
| 2 | 10 | 4 |
| 3 | 17 | 4 |
| 4 | 27 | 4 |
| 5 | 59 | 4 |
| 6 | 118 | 4 |
| 7 | 207 | 4 |
| 8 | 292 | 4 |
| 9 | 400 | 4 |
| 10 | 483 | 4 |
| 11 | 489 | 4 |
| 0 | 489 | 4 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(- (sin x) x) |
| Outputs |
|---|
(- (sin x) x) |
(-.f64 (sin.f64 x) x) |
| Inputs |
|---|
(- (sin x) x) |
(- (sin (neg x)) (neg x)) |
(neg (- (sin (neg x)) (neg x))) |
| Outputs |
|---|
(- (sin x) x) |
(- (sin (neg x)) (neg x)) |
(- x (sin x)) |
(neg (- (sin (neg x)) (neg x))) |
(- (sin x) x) |
(negabs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 95 | 1 | (4.5476032523801796e-108) | 0 | - | (-.f64 (sin.f64 x) x) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (sin.f64 x) |
| 57.0ms | 492× | 1 | valid |
| 1.0ms | 20× | 0 | valid |
Compiled 23 to 11 computations (52.2% saved)
ival-sin: 15.0ms (57% of total)ival-sub: 6.0ms (22.8% of total)backward-pass: 5.0ms (19% of total)const: 0.0ms (0% of total)Compiled 5 to 3 computations (40% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 66.1% | (-.f64 (sin.f64 x) x) |
Compiled 5 to 3 computations (40% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 (sin.f64 x) 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 | 3 | 7 |
| 1 | 5 | 7 |
| 2 | 10 | 7 |
| 3 | 17 | 7 |
| 4 | 27 | 7 |
| 5 | 59 | 7 |
| 6 | 118 | 7 |
| 7 | 207 | 7 |
| 8 | 292 | 7 |
| 9 | 400 | 7 |
| 10 | 483 | 7 |
| 11 | 489 | 7 |
| 0 | 489 | 7 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- (sin x) x) |
(sin x) |
x |
| Outputs |
|---|
(- (sin x) x) |
(-.f64 (sin.f64 x) x) |
(sin x) |
(sin.f64 x) |
x |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 66.1% | (-.f64 (sin.f64 x) x) |
| 24.0ms | 246× | 1 | valid |
| 0.0ms | 10× | 0 | valid |
Compiled 9 to 4 computations (55.6% saved)
ival-sin: 8.0ms (56.9% of total)ival-sub: 3.0ms (21.3% of total)backward-pass: 3.0ms (21.3% of total)const: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (sin x) x)> |
#<alt (sin x)> |
| Outputs |
|---|
#<alt (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ (sin x) x) 1))> |
#<alt (* x (- (/ (sin x) x) 1))> |
#<alt (* x (- (/ (sin x) x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (- (sin x) x) |
| 0.0ms | x | @ | 0 | (- (sin x) x) |
| 0.0ms | x | @ | 0 | (sin x) |
| 0.0ms | x | @ | -inf | (- (sin x) x) |
| 0.0ms | x | @ | inf | (sin x) |
| 1× | batch-egg-rewrite |
| 2928× | *-lowering-*.f32 |
| 2928× | *-lowering-*.f64 |
| 2502× | /-lowering-/.f32 |
| 2502× | /-lowering-/.f64 |
| 1972× | fma-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 6 |
| 1 | 18 | 6 |
| 2 | 153 | 6 |
| 3 | 1648 | 6 |
| 0 | 8731 | 6 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (sin x) x) |
(sin x) |
| Outputs |
|---|
(+.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) x)) |
(+.f64 (-.f64 #s(literal 0 binary64) x) (sin.f64 x)) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))))) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x))))) |
(+.f64 (fma.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))) (neg.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))) x))) (fma.f64 (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x))))))) x (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))) x))) |
(+.f64 (fma.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))) (*.f64 x (*.f64 x x))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x))))))) (*.f64 x (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))) (*.f64 x (*.f64 x x))))) |
(+.f64 (fma.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))) (neg.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))) (*.f64 x x)))) (fma.f64 (neg.f64 (/.f64 x (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x))))))) (*.f64 x x) (*.f64 (/.f64 x (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))) (*.f64 x x)))) |
(+.f64 (fma.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))) (neg.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))) (pow.f64 x #s(literal 3/2 binary64))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x))))))) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))) (pow.f64 x #s(literal 3/2 binary64))))) |
(+.f64 (fma.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))) (neg.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (-.f64 (*.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) #s(literal 3 binary64))))))) (fma.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (-.f64 (*.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (-.f64 (*.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) #s(literal 3 binary64))))))) |
(+.f64 (fma.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))) (neg.f64 (*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x (+.f64 x (sin.f64 x)))) (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) #s(literal 2 binary64))))))) (fma.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x (+.f64 x (sin.f64 x))))) (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) #s(literal 2 binary64)))) (*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x (+.f64 x (sin.f64 x)))) (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) #s(literal 2 binary64))))))) |
(+.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))) (neg.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))) x))) (fma.f64 (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x))))))) x (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))) x))) |
(+.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))) (*.f64 x (*.f64 x x))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x))))))) (*.f64 x (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))) (*.f64 x (*.f64 x x))))) |
(+.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))) (neg.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))) (*.f64 x x)))) (fma.f64 (neg.f64 (/.f64 x (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x))))))) (*.f64 x x) (*.f64 (/.f64 x (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))) (*.f64 x x)))) |
(+.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))) (neg.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))) (pow.f64 x #s(literal 3/2 binary64))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x))))))) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))) (pow.f64 x #s(literal 3/2 binary64))))) |
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(+.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) (neg.f64 (*.f64 (-.f64 (sin.f64 x) x) (/.f64 (*.f64 x x) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x x)))))) (fma.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (/.f64 (*.f64 x x) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x x))) (*.f64 (-.f64 (sin.f64 x) x) (/.f64 (*.f64 x x) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x x)))))) |
(+.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (-.f64 x (sin.f64 x))))) (/.f64 (*.f64 x x) (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))))) (fma.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (-.f64 x (sin.f64 x)))))) (/.f64 (*.f64 x x) (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (-.f64 x (sin.f64 x))))) (/.f64 (*.f64 x x) (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))))) |
(+.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))) (neg.f64 (*.f64 (/.f64 x (+.f64 x (sin.f64 x))) x))) (fma.f64 (neg.f64 (/.f64 x (+.f64 x (sin.f64 x)))) x (*.f64 (/.f64 x (+.f64 x (sin.f64 x))) x))) |
(+.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))) (*.f64 x x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x)))) (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))) (*.f64 x x)))) |
(+.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))) (neg.f64 (*.f64 (-.f64 (sin.f64 x) x) (/.f64 (*.f64 x x) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x x)))))) (fma.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (/.f64 (*.f64 x x) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x x))) (*.f64 (-.f64 (sin.f64 x) x) (/.f64 (*.f64 x x) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x x)))))) |
(+.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (-.f64 x (sin.f64 x))))) (/.f64 (*.f64 x x) (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))))) (fma.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (-.f64 x (sin.f64 x)))))) (/.f64 (*.f64 x x) (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (-.f64 x (sin.f64 x))))) (/.f64 (*.f64 x x) (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))))) |
(+.f64 (fma.f64 (/.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 x #s(literal 2 binary64))))) (*.f64 x x))) (-.f64 (sin.f64 x) x) (neg.f64 (*.f64 (/.f64 x (+.f64 x (sin.f64 x))) x))) (fma.f64 (neg.f64 (/.f64 x (+.f64 x (sin.f64 x)))) x (*.f64 (/.f64 x (+.f64 x (sin.f64 x))) x))) |
(+.f64 (fma.f64 (/.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 x #s(literal 2 binary64))))) (*.f64 x x))) (-.f64 (sin.f64 x) x) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))) (*.f64 x x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x)))) (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))) (*.f64 x x)))) |
(+.f64 (fma.f64 (/.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 x #s(literal 2 binary64))))) (*.f64 x x))) (-.f64 (sin.f64 x) x) (neg.f64 (*.f64 (-.f64 (sin.f64 x) x) (/.f64 (*.f64 x x) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x x)))))) (fma.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (/.f64 (*.f64 x x) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x x))) (*.f64 (-.f64 (sin.f64 x) x) (/.f64 (*.f64 x x) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x x)))))) |
(+.f64 (fma.f64 (/.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 x #s(literal 2 binary64))))) (*.f64 x x))) (-.f64 (sin.f64 x) x) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (-.f64 x (sin.f64 x))))) (/.f64 (*.f64 x x) (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))))) (fma.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (-.f64 x (sin.f64 x)))))) (/.f64 (*.f64 x x) (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (-.f64 x (sin.f64 x))))) (/.f64 (*.f64 x x) (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))))) |
(+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (-.f64 x (sin.f64 x))))) (neg.f64 (*.f64 (/.f64 x (+.f64 x (sin.f64 x))) x))) (fma.f64 (neg.f64 (/.f64 x (+.f64 x (sin.f64 x)))) x (*.f64 (/.f64 x (+.f64 x (sin.f64 x))) x))) |
(+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (-.f64 x (sin.f64 x))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))) (*.f64 x x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x)))) (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))) (*.f64 x x)))) |
(+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (-.f64 x (sin.f64 x))))) (neg.f64 (*.f64 (-.f64 (sin.f64 x) x) (/.f64 (*.f64 x x) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x x)))))) (fma.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (/.f64 (*.f64 x x) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x x))) (*.f64 (-.f64 (sin.f64 x) x) (/.f64 (*.f64 x x) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x x)))))) |
(+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (-.f64 x (sin.f64 x))))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (-.f64 x (sin.f64 x))))) (/.f64 (*.f64 x x) (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))))) (fma.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (-.f64 x (sin.f64 x)))))) (/.f64 (*.f64 x x) (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (-.f64 x (sin.f64 x))))) (/.f64 (*.f64 x x) (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x))) #s(literal -1 binary64))) |
(-.f64 (sin.f64 x) x) |
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))) (/.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x))))))) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x)))) |
(-.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x))) |
(-.f64 (+.f64 (sin.f64 x) #s(literal 0 binary64)) x) |
(fma.f64 x #s(literal -1 binary64) (sin.f64 x)) |
(fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x))))) |
(fma.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))))) |
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))))) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x))))) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 (sin.f64 x) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))))) |
(fma.f64 #s(literal -1 binary64) x (sin.f64 x)) |
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 binary64)) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))))) |
(fma.f64 (/.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 x #s(literal 2 binary64))))) (*.f64 x x))) (-.f64 (sin.f64 x) x) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x))))) |
(fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (-.f64 x (sin.f64 x))))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x))))) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (-.f64 (*.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))))) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) #s(literal 2 binary64)))) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x (+.f64 x (sin.f64 x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))))) |
(neg.f64 (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x x)) (-.f64 (-.f64 #s(literal 0 binary64) x) (sin.f64 x)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x))))))) |
(neg.f64 (/.f64 (+.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (*.f64 x x)) (+.f64 x (sin.f64 x)))) |
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(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))))) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))))) (neg.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.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 x x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x))))))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x))))) (*.f64 (-.f64 (sin.f64 x) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x))))) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x))))))) |
(*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x)))) |
(*.f64 (+.f64 x (sin.f64 x)) (*.f64 (-.f64 (sin.f64 x) x) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))))) |
(*.f64 (+.f64 x (sin.f64 x)) (/.f64 (-.f64 (sin.f64 x) x) (+.f64 x (sin.f64 x)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))))) |
(*.f64 (+.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) x) (sin.f64 x)))) |
(*.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x x)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (-.f64 x (sin.f64 x)))))) |
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x x)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x x))) (-.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (-.f64 (*.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) #s(literal 2 binary64)))) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x (+.f64 x (sin.f64 x))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x))))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 9 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x))))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x x)))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x x)))) |
(exp.f64 (log.f64 (sin.f64 x))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64))) |
(sin.f64 x) |
(pow.f64 (sin.f64 x) #s(literal 1 binary64)) |
| 1× | egg-herbie |
| 1964× | sum3-define |
| 1828× | fnmadd-define |
| 1590× | fma-lowering-fma.f32 |
| 1590× | fma-lowering-fma.f64 |
| 1526× | *-lowering-*.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 164 |
| 1 | 129 | 155 |
| 2 | 366 | 152 |
| 3 | 1190 | 140 |
| 4 | 3154 | 128 |
| 5 | 6356 | 128 |
| 0 | 8359 | 128 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
| Outputs |
|---|
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
Compiled 10697 to 616 computations (94.2% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 198 | 9 | 207 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 198 | 10 | 208 |
| Status | Accuracy | Program |
|---|---|---|
| 20.3% | (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x))))) | |
| ▶ | 4.4% | (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 x (sin.f64 x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x x)))) |
| 65.4% | (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) x) | |
| ✓ | 66.1% | (-.f64 (sin.f64 x) x) |
| 64.9% | (-.f64 x x) | |
| ▶ | 6.4% | (-.f64 #s(literal 0 binary64) x) |
| 99.3% | (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))) | |
| ▶ | 99.1% | (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))) |
| ▶ | 99.3% | (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) |
| ▶ | 98.9% | (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
Compiled 283 to 165 computations (41.7% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (pow.f64 (sin.f64 x) #s(literal 4 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 x (sin.f64 x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) |
| 3498× | +-lowering-+.f64 |
| 3498× | +-lowering-+.f32 |
| 2306× | *-lowering-*.f32 |
| 2306× | *-lowering-*.f64 |
| 1988× | sum4-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 320 |
| 1 | 122 | 287 |
| 2 | 450 | 287 |
| 3 | 1379 | 287 |
| 4 | 4431 | 287 |
| 0 | 8223 | 287 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (* x (* x (+ -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))))) |
x |
(* x (* x (+ -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))))) |
(* x (+ -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))) |
(+ -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))) |
-1/6 |
(* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) |
(* x x) |
(+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))) |
1/120 |
(* (* x x) (+ -1/5040 (* x (* x 1/362880)))) |
(+ -1/5040 (* x (* x 1/362880))) |
-1/5040 |
(* x (* x 1/362880)) |
(* x 1/362880) |
1/362880 |
(- 0 x) |
0 |
x |
(* -1/6 (* x (* x x))) |
-1/6 |
(* x (* x x)) |
x |
(* x x) |
(* x (* (* x x) (+ -1/6 (* 1/120 (* x x))))) |
x |
(* (* x x) (+ -1/6 (* 1/120 (* x x)))) |
(* x x) |
(+ -1/6 (* 1/120 (* x x))) |
-1/6 |
(* 1/120 (* x x)) |
1/120 |
(/ (- (pow (sin x) 4) (* x (* x (* x x)))) (* (+ x (sin x)) (+ (+ 1/2 (* -1/2 (cos (* x 2)))) (* x x)))) |
(- (pow (sin x) 4) (* x (* x (* x x)))) |
(pow (sin x) 4) |
(sin x) |
x |
4 |
(* x (* x (* x x))) |
(* x (* x x)) |
(* x x) |
(* (+ x (sin x)) (+ (+ 1/2 (* -1/2 (cos (* x 2)))) (* x x))) |
(+ x (sin x)) |
(+ (+ 1/2 (* -1/2 (cos (* x 2)))) (* x x)) |
(+ 1/2 (* -1/2 (cos (* x 2)))) |
1/2 |
(* -1/2 (cos (* x 2))) |
-1/2 |
(cos (* x 2)) |
(* x 2) |
2 |
| Outputs |
|---|
(* x (* x (* x (+ -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))))) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 x x) #s(literal 1/362880 binary64))))))))))) |
x |
(* x (* x (+ -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 x x) #s(literal 1/362880 binary64)))))))))) |
(* x (+ -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 x x) #s(literal 1/362880 binary64))))))))) |
(+ -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))) |
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 x x) #s(literal 1/362880 binary64)))))))) |
-1/6 |
#s(literal -1/6 binary64) |
(* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 x x) #s(literal 1/362880 binary64))))))) |
(* x x) |
(*.f64 x x) |
(+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))) |
(+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 x x) #s(literal 1/362880 binary64)))))) |
1/120 |
#s(literal 1/120 binary64) |
(* (* x x) (+ -1/5040 (* x (* x 1/362880)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 x x) #s(literal 1/362880 binary64))))) |
(+ -1/5040 (* x (* x 1/362880))) |
(+.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 x x) #s(literal 1/362880 binary64))) |
-1/5040 |
#s(literal -1/5040 binary64) |
(* x (* x 1/362880)) |
(*.f64 (*.f64 x x) #s(literal 1/362880 binary64)) |
(* x 1/362880) |
(*.f64 x #s(literal 1/362880 binary64)) |
1/362880 |
#s(literal 1/362880 binary64) |
(- 0 x) |
(-.f64 #s(literal 0 binary64) x) |
0 |
#s(literal 0 binary64) |
x |
(* -1/6 (* x (* x x))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
-1/6 |
#s(literal -1/6 binary64) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
x |
(* x x) |
(*.f64 x x) |
(* x (* (* x x) (+ -1/6 (* 1/120 (* x x))))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
x |
(* (* x x) (+ -1/6 (* 1/120 (* x x)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* x x) |
(*.f64 x x) |
(+ -1/6 (* 1/120 (* x x))) |
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
-1/6 |
#s(literal -1/6 binary64) |
(* 1/120 (* x x)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
(/ (- (pow (sin x) 4) (* x (* x (* x x)))) (* (+ x (sin x)) (+ (+ 1/2 (* -1/2 (cos (* x 2)))) (* x x)))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 x (sin.f64 x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 x x) #s(literal 1/2 binary64))))) |
(- (pow (sin x) 4) (* x (* x (* x x)))) |
(-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(pow (sin x) 4) |
(pow.f64 (sin.f64 x) #s(literal 4 binary64)) |
(sin x) |
(sin.f64 x) |
x |
4 |
#s(literal 4 binary64) |
(* x (* x (* x x))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(* (+ x (sin x)) (+ (+ 1/2 (* -1/2 (cos (* x 2)))) (* x x))) |
(*.f64 (+.f64 x (sin.f64 x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(+ x (sin x)) |
(+.f64 x (sin.f64 x)) |
(+ (+ 1/2 (* -1/2 (cos (* x 2)))) (* x x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(+ 1/2 (* -1/2 (cos (* x 2)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) |
1/2 |
#s(literal 1/2 binary64) |
(* -1/2 (cos (* x 2))) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) |
-1/2 |
#s(literal -1/2 binary64) |
(cos (* x 2)) |
(cos.f64 (*.f64 x #s(literal 2 binary64))) |
(* x 2) |
(*.f64 x #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 84.3% | (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | accuracy | 52.0% | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) |
| ✓ | accuracy | 21.4% | (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 x (sin.f64 x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x x)))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 0 binary64) x) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 1/362880 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) |
| ✓ | accuracy | 99.5% | (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) |
| ✓ | accuracy | 99.3% | (*.f64 x #s(literal 1/362880 binary64)) |
| 250.0ms | 233× | 1 | valid |
| 27.0ms | 20× | 2 | valid |
| 1.0ms | 3× | 0 | valid |
Compiled 340 to 41 computations (87.9% saved)
ival-mult: 59.0ms (29.7% of total)ival-cos: 42.0ms (21.1% of total)...c/correct-round.rkt:119:19: 28.0ms (14.1% of total)backward-pass: 21.0ms (10.6% of total)ival-add: 17.0ms (8.6% of total)ival-pow: 10.0ms (5% of total)ival-sin: 10.0ms (5% of total)ival-sub: 6.0ms (3% of total)ival-div: 4.0ms (2% of total)const: 1.0ms (0.5% of total)| Inputs |
|---|
#<alt (* x (* x (* x (+ -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))))))> |
#<alt (* x (* x (+ -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))))> |
#<alt (* x (+ -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))))> |
#<alt (+ -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))> |
#<alt (- 0 x)> |
#<alt (* -1/6 (* x (* x x)))> |
#<alt (* x (* x x))> |
#<alt (* x x)> |
#<alt (* x (* (* x x) (+ -1/6 (* 1/120 (* x x)))))> |
#<alt (* (* x x) (+ -1/6 (* 1/120 (* x x))))> |
#<alt (+ -1/6 (* 1/120 (* x x)))> |
#<alt (/ (- (pow (sin x) 4) (* x (* x (* x x)))) (* (+ x (sin x)) (+ (+ 1/2 (* -1/2 (cos (* x 2)))) (* x x))))> |
#<alt (- (pow (sin x) 4) (* x (* x (* x x))))> |
#<alt (pow (sin x) 4)> |
#<alt (sin x)> |
#<alt (* x 1/362880)> |
#<alt (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))> |
#<alt (* x (* x 1/362880))> |
#<alt (* 1/120 (* x x))> |
#<alt (+ 1/2 (* -1/2 (cos (* x 2))))> |
| Outputs |
|---|
#<alt (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))> |
#<alt (* 1/362880 (pow x 9))> |
#<alt (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt (* 1/362880 (pow x 9))> |
#<alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))> |
#<alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))> |
#<alt (* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))> |
#<alt (* 1/362880 (pow x 8))> |
#<alt (* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt (* 1/362880 (pow x 8))> |
#<alt (* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt (* -1/6 x)> |
#<alt (* x (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))> |
#<alt (* 1/362880 (pow x 7))> |
#<alt (* (pow x 7) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt (* 1/362880 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))> |
#<alt (* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))> |
#<alt (* -1 (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))> |
#<alt -1/6> |
#<alt (- (* 1/120 (pow x 2)) 1/6)> |
#<alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)> |
#<alt (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)> |
#<alt (* 1/362880 (pow x 6))> |
#<alt (* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt (* 1/362880 (pow x 6))> |
#<alt (* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<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 (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))> |
#<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 -1/6> |
#<alt (- (* 1/120 (pow x 2)) 1/6)> |
#<alt (- (* 1/120 (pow x 2)) 1/6)> |
#<alt (- (* 1/120 (pow x 2)) 1/6)> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ (sin x) x) 1))> |
#<alt (* x (- (* -1 (/ (+ (* -1 (+ 1/2 (* -1/2 (cos (* 2 x))))) (pow (sin x) 2)) (pow x 2))) (+ 1 (* -1 (/ (sin x) x)))))> |
#<alt (* x (- (* -1 (/ (+ (* -1 (* (sin x) (+ 1/2 (* -1/2 (cos (* 2 x)))))) (+ (* -1 (* (sin x) (+ (* -1 (+ 1/2 (* -1/2 (cos (* 2 x))))) (pow (sin x) 2)))) (* (sin x) (+ 1/2 (* -1/2 (cos (* 2 x))))))) (pow x 3))) (+ 1 (+ (* -1 (/ (sin x) x)) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (pow x 2))) (/ (pow (sin x) 2) (pow x 2)))))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 2) x)) (+ (* -1/2 (/ (cos (* 2 x)) x)) (* 1/2 (/ 1 x)))) (* -1 (sin x))) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (sin x) (+ 1/2 (* -1/2 (cos (* 2 x))))) x)) (+ (/ (* (sin x) (+ 1/2 (* -1/2 (cos (* 2 x))))) x) (/ (* (sin x) (+ 1/2 (+ (* -1 (pow (sin x) 2)) (* -1/2 (cos (* 2 x)))))) x))) (+ 1/2 (+ (* -1 (pow (sin x) 2)) (* -1/2 (cos (* 2 x)))))) x)) (* -1 (sin x))) x)))))> |
#<alt (* -2/3 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/5 (pow x 2)) 2/3))> |
#<alt (* (pow x 6) (- (* (pow x 2) (+ 1/5 (* -34/945 (pow x 2)))) 2/3))> |
#<alt (* (pow x 6) (- (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* 62/14175 (pow x 2)) 34/945)))) 2/3))> |
#<alt (* -1 (pow x 4))> |
#<alt (* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1))> |
#<alt (* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1))> |
#<alt (* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1))> |
#<alt (* -1 (pow x 4))> |
#<alt (* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1))> |
#<alt (* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1))> |
#<alt (* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1))> |
#<alt (pow x 4)> |
#<alt (* (pow x 4) (+ 1 (* -2/3 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1 (* (pow x 2) (- (* 1/5 (pow x 2)) 2/3))))> |
#<alt (* (pow x 4) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/5 (* -34/945 (pow x 2)))) 2/3))))> |
#<alt (pow (sin x) 4)> |
#<alt (pow (sin x) 4)> |
#<alt (pow (sin x) 4)> |
#<alt (pow (sin x) 4)> |
#<alt (pow (sin x) 4)> |
#<alt (pow (sin x) 4)> |
#<alt (pow (sin x) 4)> |
#<alt (pow (sin x) 4)> |
#<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 (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))> |
#<alt (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))> |
#<alt (* 1/362880 (pow x 6))> |
#<alt (* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* 1/362880 (pow x 6))> |
#<alt (* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* 1/362880 (pow x 2))> |
#<alt (* 1/362880 (pow x 2))> |
#<alt (* 1/362880 (pow x 2))> |
#<alt (* 1/362880 (pow x 2))> |
#<alt (* 1/362880 (pow x 2))> |
#<alt (* 1/362880 (pow x 2))> |
#<alt (* 1/362880 (pow x 2))> |
#<alt (* 1/362880 (pow x 2))> |
#<alt (* 1/362880 (pow x 2))> |
#<alt (* 1/362880 (pow x 2))> |
#<alt (* 1/362880 (pow x 2))> |
#<alt (* 1/362880 (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 (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))> |
#<alt (+ 1/2 (* -1/2 (cos (* 2 x))))> |
#<alt (+ 1/2 (* -1/2 (cos (* 2 x))))> |
#<alt (+ 1/2 (* -1/2 (cos (* 2 x))))> |
#<alt (+ 1/2 (* -1/2 (cos (* 2 x))))> |
#<alt (+ 1/2 (* -1/2 (cos (* 2 x))))> |
#<alt (+ 1/2 (* -1/2 (cos (* 2 x))))> |
#<alt (+ 1/2 (* -1/2 (cos (* 2 x))))> |
#<alt (+ 1/2 (* -1/2 (cos (* 2 x))))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | (* x (* x (* x (+ -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))))) |
| 2.0ms | x | @ | inf | (/ (- (pow (sin x) 4) (* x (* x (* x x)))) (* (+ x (sin x)) (+ (+ 1/2 (* -1/2 (cos (* x 2)))) (* x x)))) |
| 1.0ms | x | @ | -inf | (/ (- (pow (sin x) 4) (* x (* x (* x x)))) (* (+ x (sin x)) (+ (+ 1/2 (* -1/2 (cos (* x 2)))) (* x x)))) |
| 1.0ms | x | @ | 0 | (/ (- (pow (sin x) 4) (* x (* x (* x x)))) (* (+ x (sin x)) (+ (+ 1/2 (* -1/2 (cos (* x 2)))) (* x x)))) |
| 1.0ms | x | @ | inf | (* x (* x (* x (+ -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))))) |
| 1× | batch-egg-rewrite |
| 3786× | *-lowering-*.f32 |
| 3786× | *-lowering-*.f64 |
| 2630× | fma-lowering-fma.f32 |
| 2630× | fma-lowering-fma.f64 |
| 2204× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 211 |
| 1 | 248 | 186 |
| 2 | 2371 | 186 |
| 0 | 8402 | 186 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (* x (* x (+ -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))))) |
(* x (* x (+ -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))))) |
(* x (+ -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))) |
(+ -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))) |
(- 0 x) |
(* -1/6 (* x (* x x))) |
(* x (* x x)) |
(* x x) |
(* x (* (* x x) (+ -1/6 (* 1/120 (* x x))))) |
(* (* x x) (+ -1/6 (* 1/120 (* x x)))) |
(+ -1/6 (* 1/120 (* x x))) |
(/ (- (pow (sin x) 4) (* x (* x (* x x)))) (* (+ x (sin x)) (+ (+ 1/2 (* -1/2 (cos (* x 2)))) (* x x)))) |
(- (pow (sin x) 4) (* x (* x (* x x)))) |
(pow (sin x) 4) |
(sin x) |
(* x 1/362880) |
(* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) |
(* x (* x 1/362880)) |
(* 1/120 (* x x)) |
(+ 1/2 (* -1/2 (cos (* x 2)))) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) (*.f64 x (*.f64 x x))))) |
(+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) (*.f64 x (*.f64 x x))) (*.f64 x x))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) (*.f64 x (*.f64 x x))))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) (*.f64 x (*.f64 x x))) (*.f64 x x))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) (*.f64 x (*.f64 x x))))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) (*.f64 x (*.f64 x x))) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) (*.f64 x (*.f64 x x))) (*.f64 x x))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) (*.f64 x (*.f64 x x))) (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) (*.f64 x (*.f64 x x))) (*.f64 x x))) |
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) (*.f64 x (*.f64 x x))) (*.f64 x x))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))))))))))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))))))))))) |
(*.f64 (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) x) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) (*.f64 x (*.f64 x x))))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) (*.f64 x (*.f64 x x))) x)) |
(+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))))))))) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 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 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) (*.f64 x (*.f64 x x))))) |
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) |
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) (*.f64 x (*.f64 x x))) x)) |
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (*.f64 x x))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) (*.f64 x (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) (*.f64 x (*.f64 x x))))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) (*.f64 x (*.f64 x x))) x)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (*.f64 x x))) |
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) |
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) (*.f64 x (*.f64 x x))) x)) |
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (*.f64 x x) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) x (*.f64 x (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) |
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) x (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) (*.f64 x (*.f64 x x))) x)) |
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(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/14400 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))))) (-.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))))))) |
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(/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))))))) |
(*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) (*.f64 x x)) |
(*.f64 (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))))))) x) |
(*.f64 x (*.f64 x #s(literal 1/362880 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/362880 binary64)) |
(*.f64 #s(literal 1/362880 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/362880 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 #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) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #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 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))))) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))))))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) |
| 1× | egg-herbie |
| 3062× | *-lowering-*.f32 |
| 3062× | *-lowering-*.f64 |
| 3050× | +-lowering-+.f64 |
| 3050× | +-lowering-+.f32 |
| 1692× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 233 | 2104 |
| 1 | 695 | 2011 |
| 2 | 2254 | 1954 |
| 0 | 8525 | 1954 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* 1/362880 (pow x 9)) |
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 9)) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* 1/362880 (pow x 8)) |
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 8)) |
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* -1/6 x) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* 1/362880 (pow x 7)) |
(* (pow x 7) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 7)) |
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6) |
(* 1/362880 (pow x 6)) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 6)) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(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) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -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))))) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* 1/120 (pow x 2)) 1/6) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (* -1 (/ (+ (* -1 (+ 1/2 (* -1/2 (cos (* 2 x))))) (pow (sin x) 2)) (pow x 2))) (+ 1 (* -1 (/ (sin x) x))))) |
(* x (- (* -1 (/ (+ (* -1 (* (sin x) (+ 1/2 (* -1/2 (cos (* 2 x)))))) (+ (* -1 (* (sin x) (+ (* -1 (+ 1/2 (* -1/2 (cos (* 2 x))))) (pow (sin x) 2)))) (* (sin x) (+ 1/2 (* -1/2 (cos (* 2 x))))))) (pow x 3))) (+ 1 (+ (* -1 (/ (sin x) x)) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (pow x 2))) (/ (pow (sin x) 2) (pow x 2))))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 2) x)) (+ (* -1/2 (/ (cos (* 2 x)) x)) (* 1/2 (/ 1 x)))) (* -1 (sin x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (sin x) (+ 1/2 (* -1/2 (cos (* 2 x))))) x)) (+ (/ (* (sin x) (+ 1/2 (* -1/2 (cos (* 2 x))))) x) (/ (* (sin x) (+ 1/2 (+ (* -1 (pow (sin x) 2)) (* -1/2 (cos (* 2 x)))))) x))) (+ 1/2 (+ (* -1 (pow (sin x) 2)) (* -1/2 (cos (* 2 x)))))) x)) (* -1 (sin x))) x))))) |
(* -2/3 (pow x 6)) |
(* (pow x 6) (- (* 1/5 (pow x 2)) 2/3)) |
(* (pow x 6) (- (* (pow x 2) (+ 1/5 (* -34/945 (pow x 2)))) 2/3)) |
(* (pow x 6) (- (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* 62/14175 (pow x 2)) 34/945)))) 2/3)) |
(* -1 (pow x 4)) |
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1)) |
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1)) |
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1)) |
(* -1 (pow x 4)) |
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1)) |
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1)) |
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1)) |
(pow x 4) |
(* (pow x 4) (+ 1 (* -2/3 (pow x 2)))) |
(* (pow x 4) (+ 1 (* (pow x 2) (- (* 1/5 (pow x 2)) 2/3)))) |
(* (pow x 4) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/5 (* -34/945 (pow x 2)))) 2/3)))) |
(pow (sin x) 4) |
(pow (sin x) 4) |
(pow (sin x) 4) |
(pow (sin x) 4) |
(pow (sin x) 4) |
(pow (sin x) 4) |
(pow (sin x) 4) |
(pow (sin x) 4) |
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) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) |
(* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) |
(* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) |
(* 1/362880 (pow x 6)) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* 1/362880 (pow x 6)) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* 1/362880 (pow x 2)) |
(* 1/362880 (pow x 2)) |
(* 1/362880 (pow x 2)) |
(* 1/362880 (pow x 2)) |
(* 1/362880 (pow x 2)) |
(* 1/362880 (pow x 2)) |
(* 1/362880 (pow x 2)) |
(* 1/362880 (pow x 2)) |
(* 1/362880 (pow x 2)) |
(* 1/362880 (pow x 2)) |
(* 1/362880 (pow x 2)) |
(* 1/362880 (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)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))) |
(+ 1/2 (* -1/2 (cos (* 2 x)))) |
(+ 1/2 (* -1/2 (cos (* 2 x)))) |
(+ 1/2 (* -1/2 (cos (* 2 x)))) |
(+ 1/2 (* -1/2 (cos (* 2 x)))) |
(+ 1/2 (* -1/2 (cos (* 2 x)))) |
(+ 1/2 (* -1/2 (cos (* 2 x)))) |
(+ 1/2 (* -1/2 (cos (* 2 x)))) |
(+ 1/2 (* -1/2 (cos (* 2 x)))) |
| Outputs |
|---|
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 x x) #s(literal 1/362880 binary64))))))))) |
(* 1/362880 (pow x 9)) |
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 9 binary64))) |
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/362880 binary64) (+.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
(* 1/362880 (pow x 9)) |
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/362880 binary64) (+.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.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))))))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 x x) #s(literal 1/362880 binary64))))))))) |
(* 1/362880 (pow x 8)) |
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/362880 binary64) (+.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 8 binary64))) |
(* 1/362880 (pow x 8)) |
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/362880 binary64) (+.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 8 binary64))) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))) |
(* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 x x) #s(literal 1/362880 binary64))))))))) |
(* 1/362880 (pow x 7)) |
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/362880 binary64) (+.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 7 binary64))) |
(* 1/362880 (pow x 7)) |
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(*.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/362880 binary64) (+.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 7 binary64))) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/120 (pow x 2)) 1/6) |
(+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(+.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))))) |
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6) |
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 x x) #s(literal 1/362880 binary64)))))))) |
(* 1/362880 (pow x 6)) |
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/362880 binary64) (+.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
(* 1/362880 (pow x 6)) |
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/362880 binary64) (+.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* 1/120 (pow x 5)) |
(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* 1/120 (pow x 5)) |
(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* 1/120 (pow x 4)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 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))))) |
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(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) |
(+ 1/2 (* -1/2 (cos (* 2 x)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) |
(+ 1/2 (* -1/2 (cos (* 2 x)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) |
(+ 1/2 (* -1/2 (cos (* 2 x)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) |
(+ 1/2 (* -1/2 (cos (* 2 x)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) |
(+ 1/2 (* -1/2 (cos (* 2 x)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) |
Compiled 24867 to 1950 computations (92.2% saved)
21 alts after pruning (18 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 830 | 15 | 845 |
| Fresh | 1 | 3 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 834 | 21 | 855 |
| Status | Accuracy | Program |
|---|---|---|
| 20.3% | (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x))))) | |
| 2.0% | (/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 12 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 8 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (+.f64 x (sin.f64 x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x x)))) | |
| ✓ | 4.4% | (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 x (sin.f64 x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x x)))) |
| 99.0% | (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64)))) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) | |
| 65.4% | (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) x) | |
| ✓ | 66.1% | (-.f64 (sin.f64 x) x) |
| 64.9% | (-.f64 x x) | |
| 14.7% | (*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/362880 binary64) (+.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))))) | |
| 38.1% | (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) | |
| 99.1% | (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))) | |
| 99.4% | (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) x) | |
| 99.3% | (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))) | |
| ▶ | 98.9% | (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
| 98.9% | (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) | |
| ▶ | 99.4% | (*.f64 x (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) x) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))))) |
| ▶ | 99.4% | (*.f64 x (*.f64 x (/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))))))))))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64))))))) |
| ▶ | 99.3% | (*.f64 x (*.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)))))))) |
| 98.9% | (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) | |
| 46.1% | (*.f64 #s(literal -1/6 binary64) (*.f64 x (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64)) (*.f64 x x)))) | |
| ✓ | 98.9% | (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
| ▶ | 6.4% | (neg.f64 x) |
Compiled 976 to 447 computations (54.2% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))))))))))) x) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))))))))))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x (/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))))))))))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))))))))))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64))))))) |
| ✓ | cost-diff | 0 | (+.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))))) |
| ✓ | cost-diff | 0 | (*.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)))))) |
| ✓ | cost-diff | 0 | (*.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))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.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)))))))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
| ✓ | cost-diff | -64 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) x) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) x) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) x) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))))))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) x) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))))) |
| 3138× | *-lowering-*.f32 |
| 3138× | *-lowering-*.f64 |
| 2060× | fma-lowering-fma.f32 |
| 2060× | fma-lowering-fma.f64 |
| 1936× | +-lowering-+.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 980 |
| 1 | 143 | 878 |
| 2 | 549 | 847 |
| 3 | 2435 | 828 |
| 4 | 5367 | 828 |
| 0 | 8160 | 828 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (* x (/ (* (- 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))) x) (- -1/6 (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))))) |
x |
(* x (/ (* (- 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))) x) (- -1/6 (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))))) |
(/ (* (- 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))) x) (- -1/6 (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))) |
(* (- 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))) x) |
(- 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))) |
1/36 |
(* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))) |
(* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) |
(* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))) |
(+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))) |
1/120 |
(* x (* x (+ -1/5040 (* x (* x 1/362880))))) |
(* x (+ -1/5040 (* x (* x 1/362880)))) |
(+ -1/5040 (* x (* x 1/362880))) |
-1/5040 |
(* x (* x 1/362880)) |
(* x 1/362880) |
1/362880 |
(- -1/6 (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))) |
-1/6 |
(neg x) |
x |
(* (* x x) (* x -1/6)) |
(* x x) |
x |
(* x -1/6) |
-1/6 |
(* x (* x (* x (+ -1/6 (* (* x x) (+ 1/120 (* (* x x) -1/5040))))))) |
x |
(* x (* x (+ -1/6 (* (* x x) (+ 1/120 (* (* x x) -1/5040)))))) |
(* x (+ -1/6 (* (* x x) (+ 1/120 (* (* x x) -1/5040))))) |
(+ -1/6 (* (* x x) (+ 1/120 (* (* x x) -1/5040)))) |
-1/6 |
(* (* x x) (+ 1/120 (* (* x x) -1/5040))) |
(* x x) |
(+ 1/120 (* (* x x) -1/5040)) |
1/120 |
(* (* x x) -1/5040) |
-1/5040 |
(* x (* x (/ (* (+ -1/216 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))))) x) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)))))) |
x |
(* x (/ (* (+ -1/216 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))))) x) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))))) |
(/ (* (+ -1/216 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))))) x) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)))) |
(* (+ -1/216 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))))) x) |
(+ -1/216 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))))) |
-1/216 |
(* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))) |
(* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) |
(* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))) |
(+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))) |
1/120 |
(* x (* x (+ -1/5040 (* x (* x 1/362880))))) |
(* x (+ -1/5040 (* x (* x 1/362880)))) |
(+ -1/5040 (* x (* x 1/362880))) |
-1/5040 |
(* x (* x 1/362880)) |
(* x 1/362880) |
1/362880 |
(* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))) |
(+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))) |
1/36 |
(* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)) |
(- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6) |
-1/6 |
| Outputs |
|---|
(* x (* x (/ (* (- 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))) x) (- -1/6 (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))))) |
(/.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x))))))))) (*.f64 x x))) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x))))))))) |
x |
(* x (/ (* (- 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))) x) (- -1/6 (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x))))))))) (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x))))))))) |
(/ (* (- 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))) x) (- -1/6 (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))))))) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x))))))))) |
(* (- 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))) x) |
(*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))))))) |
(- 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))) |
(+.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x))))))))) |
1/36 |
#s(literal 1/36 binary64) |
(* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))) |
(*.f64 x (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x))))))))))) |
(* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))))) |
(* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))) |
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x))))))) |
(+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))) |
(+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))) |
1/120 |
#s(literal 1/120 binary64) |
(* x (* x (+ -1/5040 (* x (* x 1/362880))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x))))) |
(* x (+ -1/5040 (* x (* x 1/362880)))) |
(*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))) |
(+ -1/5040 (* x (* x 1/362880))) |
(+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x))) |
-1/5040 |
#s(literal -1/5040 binary64) |
(* x (* x 1/362880)) |
(*.f64 #s(literal 1/362880 binary64) (*.f64 x x)) |
(* x 1/362880) |
(*.f64 x #s(literal 1/362880 binary64)) |
1/362880 |
#s(literal 1/362880 binary64) |
(- -1/6 (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))) |
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))))) |
-1/6 |
#s(literal -1/6 binary64) |
(neg x) |
(-.f64 #s(literal 0 binary64) x) |
x |
(* (* x x) (* x -1/6)) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(* x x) |
(*.f64 x x) |
x |
(* x -1/6) |
(*.f64 x #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(* x (* x (* x (+ -1/6 (* (* x x) (+ 1/120 (* (* x x) -1/5040))))))) |
(*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))) (*.f64 x (*.f64 x x))) |
x |
(* x (* x (+ -1/6 (* (* x x) (+ 1/120 (* (* x x) -1/5040)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)))))) |
(* x (+ -1/6 (* (* x x) (+ 1/120 (* (* x x) -1/5040))))) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)))))) |
(+ -1/6 (* (* x x) (+ 1/120 (* (* x x) -1/5040)))) |
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))) |
-1/6 |
#s(literal -1/6 binary64) |
(* (* x x) (+ 1/120 (* (* x x) -1/5040))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)))) |
(* x x) |
(*.f64 x x) |
(+ 1/120 (* (* x x) -1/5040)) |
(+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) |
1/120 |
#s(literal 1/120 binary64) |
(* (* x x) -1/5040) |
(*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) |
-1/5040 |
#s(literal -1/5040 binary64) |
(* x (* x (/ (* (+ -1/216 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))))) x) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)))))) |
(/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))))) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x))))))) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))))) #s(literal 1/6 binary64)))))) |
x |
(* x (/ (* (+ -1/216 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))))) x) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/216 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))))) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x x)))))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x))))))) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))))) #s(literal 1/6 binary64)))))) |
(/ (* (+ -1/216 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))))) x) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)))) |
(/.f64 (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))))) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x x)))))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x))))))) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))))) #s(literal 1/6 binary64)))))) |
(* (+ -1/216 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))))) x) |
(*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))))) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(+ -1/216 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))))) |
(+.f64 #s(literal -1/216 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))))) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
-1/216 |
#s(literal -1/216 binary64) |
(* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))) |
(*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))))) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))))) |
(* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))) |
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x))))))) |
(+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))) |
(+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))) |
1/120 |
#s(literal 1/120 binary64) |
(* x (* x (+ -1/5040 (* x (* x 1/362880))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x))))) |
(* x (+ -1/5040 (* x (* x 1/362880)))) |
(*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))) |
(+ -1/5040 (* x (* x 1/362880))) |
(+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x))) |
-1/5040 |
#s(literal -1/5040 binary64) |
(* x (* x 1/362880)) |
(*.f64 #s(literal 1/362880 binary64) (*.f64 x x)) |
(* x 1/362880) |
(*.f64 x #s(literal 1/362880 binary64)) |
1/362880 |
#s(literal 1/362880 binary64) |
(* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))) |
(*.f64 x (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x))))))))))) |
(+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))) |
(+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x))))))) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))))) #s(literal 1/6 binary64))))) |
1/36 |
#s(literal 1/36 binary64) |
(* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)) |
(*.f64 (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x))))))) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))))) #s(literal 1/6 binary64)))) |
(- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6) |
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))))) #s(literal 1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))))))))))) x) |
| ✓ | accuracy | 99.3% | (*.f64 x #s(literal 1/362880 binary64)) |
| ✓ | accuracy | 99.3% | (/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))))))))))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64))))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) |
| ✓ | accuracy | 99.8% | (*.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))))))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))) |
| ✓ | accuracy | 99.5% | (*.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)))))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal -1/6 binary64)) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 1/362880 binary64))) |
| ✓ | accuracy | 99.4% | (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) x) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) x) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) |
| ✓ | accuracy | 99.3% | (*.f64 x #s(literal 1/362880 binary64)) |
| 136.0ms | 256× | 0 | valid |
Compiled 1192 to 43 computations (96.4% saved)
ival-mult: 38.0ms (48.3% of total)...c/correct-round.rkt:119:19: 21.0ms (26.7% of total)ival-sub: 8.0ms (10.2% of total)ival-add: 7.0ms (8.9% of total)ival-div: 4.0ms (5.1% of total)ival-neg: 1.0ms (1.3% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x (* x (/ (* (- 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))) x) (- -1/6 (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))))))> |
#<alt (* x (/ (* (- 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))) x) (- -1/6 (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))))> |
#<alt (/ (* (- 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))) x) (- -1/6 (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))))> |
#<alt (* (- 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))) x)> |
#<alt (neg x)> |
#<alt (* (* x x) (* x -1/6))> |
#<alt (* x x)> |
#<alt (* x -1/6)> |
#<alt (* x (* x (* x (+ -1/6 (* (* x x) (+ 1/120 (* (* x x) -1/5040)))))))> |
#<alt (* x (* x (+ -1/6 (* (* x x) (+ 1/120 (* (* x x) -1/5040))))))> |
#<alt (* x (+ -1/6 (* (* x x) (+ 1/120 (* (* x x) -1/5040)))))> |
#<alt (+ -1/6 (* (* x x) (+ 1/120 (* (* x x) -1/5040))))> |
#<alt (* x (* x (/ (* (+ -1/216 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))))) x) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))))))> |
#<alt (* x (/ (* (+ -1/216 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))))) x) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)))))> |
#<alt (/ (* (+ -1/216 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))))) x) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))))> |
#<alt (* (+ -1/216 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))))) x)> |
#<alt (* x 1/362880)> |
#<alt (* x (* x 1/362880))> |
#<alt (* (* x x) (+ 1/120 (* (* x x) -1/5040)))> |
#<alt (* (* x x) -1/5040)> |
#<alt (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))> |
| Outputs |
|---|
#<alt (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))> |
#<alt (* 1/362880 (pow x 9))> |
#<alt (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt (* 1/362880 (pow x 9))> |
#<alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))> |
#<alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))> |
#<alt (* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))> |
#<alt (* 1/362880 (pow x 8))> |
#<alt (* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt (* 1/362880 (pow x 8))> |
#<alt (* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt (* -1/6 x)> |
#<alt (* x (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))> |
#<alt (* 1/362880 (pow x 7))> |
#<alt (* (pow x 7) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt (* 1/362880 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))> |
#<alt (* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))> |
#<alt (* -1 (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))> |
#<alt (* 1/36 x)> |
#<alt (* x (+ 1/36 (* -1/14400 (pow x 4))))> |
#<alt (* x (+ 1/36 (* (pow x 4) (- (* 1/302400 (pow x 2)) 1/14400))))> |
#<alt (* x (+ 1/36 (* (pow x 4) (- (* (pow x 2) (+ 1/302400 (* -13/152409600 (pow x 2)))) 1/14400))))> |
#<alt (* -1/131681894400 (pow x 13))> |
#<alt (* (pow x 13) (- (* 1/914457600 (/ 1 (pow x 2))) 1/131681894400))> |
#<alt (* (pow x 13) (- (* 1/914457600 (/ 1 (pow x 2))) (+ 1/131681894400 (/ 13/152409600 (pow x 4)))))> |
#<alt (* (pow x 13) (- (+ (* 1/914457600 (/ 1 (pow x 2))) (* 1/302400 (/ 1 (pow x 6)))) (+ 1/131681894400 (/ 13/152409600 (pow x 4)))))> |
#<alt (* -1/131681894400 (pow x 13))> |
#<alt (* -1 (* (pow x 13) (- 1/131681894400 (* 1/914457600 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 13) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (* 1/914457600 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 13) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (+ (* 1/914457600 (/ 1 (pow x 2))) (* 1/302400 (/ 1 (pow x 6)))))))> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<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 (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* -1/5040 (pow x 7))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/5040 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* -1/5040 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/5040 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/6 x)> |
#<alt (* x (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* -1/5040 (pow x 5))> |
#<alt (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/5040 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt -1/6> |
#<alt (- (* 1/120 (pow x 2)) 1/6)> |
#<alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)> |
#<alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)> |
#<alt (* -1/5040 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/5040 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))> |
#<alt (* 1/362880 (pow x 9))> |
#<alt (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt (* 1/362880 (pow x 9))> |
#<alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))> |
#<alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))> |
#<alt (* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))> |
#<alt (* 1/362880 (pow x 8))> |
#<alt (* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt (* 1/362880 (pow x 8))> |
#<alt (* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt (* -1/6 x)> |
#<alt (* x (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))> |
#<alt (* 1/362880 (pow x 7))> |
#<alt (* (pow x 7) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt (* 1/362880 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))> |
#<alt (* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))> |
#<alt (* -1 (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))> |
#<alt (* -1/216 x)> |
#<alt (* x (- (* 1/1728000 (pow x 6)) 1/216))> |
#<alt (* x (- (* (pow x 6) (+ 1/1728000 (* -1/24192000 (pow x 2)))) 1/216))> |
#<alt (* x (- (* (pow x 6) (+ 1/1728000 (* (pow x 2) (- (* 19/12192768000 (pow x 2)) 1/24192000)))) 1/216))> |
#<alt (* 1/47784725839872000 (pow x 19))> |
#<alt (* (pow x 19) (- 1/47784725839872000 (* 1/221225582592000 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 19) (- (+ 1/47784725839872000 (/ 19/36870930432000 (pow x 4))) (* 1/221225582592000 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 19) (- (+ 1/47784725839872000 (/ 19/36870930432000 (pow x 4))) (+ (* 1/221225582592000 (/ 1 (pow x 2))) (* 1/28449792000 (/ 1 (pow x 6))))))> |
#<alt (* 1/47784725839872000 (pow x 19))> |
#<alt (* -1 (* (pow x 19) (- (* 1/221225582592000 (/ 1 (pow x 2))) 1/47784725839872000)))> |
#<alt (* -1 (* (pow x 19) (- (* 1/221225582592000 (/ 1 (pow x 2))) (+ 1/47784725839872000 (/ 19/36870930432000 (pow x 4))))))> |
#<alt (* -1 (* (pow x 19) (- (+ (* 1/221225582592000 (/ 1 (pow x 2))) (* 1/28449792000 (/ 1 (pow x 6)))) (+ 1/47784725839872000 (/ 19/36870930432000 (pow x 4))))))> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 (pow x 2))> |
#<alt (* 1/362880 (pow x 2))> |
#<alt (* 1/362880 (pow x 2))> |
#<alt (* 1/362880 (pow x 2))> |
#<alt (* 1/362880 (pow x 2))> |
#<alt (* 1/362880 (pow x 2))> |
#<alt (* 1/362880 (pow x 2))> |
#<alt (* 1/362880 (pow x 2))> |
#<alt (* 1/362880 (pow x 2))> |
#<alt (* 1/362880 (pow x 2))> |
#<alt (* 1/362880 (pow x 2))> |
#<alt (* 1/362880 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))> |
#<alt (* -1/5040 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* -1/5040 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* -1/5040 (pow x 2))> |
#<alt (* -1/5040 (pow x 2))> |
#<alt (* -1/5040 (pow x 2))> |
#<alt (* -1/5040 (pow x 2))> |
#<alt (* -1/5040 (pow x 2))> |
#<alt (* -1/5040 (pow x 2))> |
#<alt (* -1/5040 (pow x 2))> |
#<alt (* -1/5040 (pow x 2))> |
#<alt (* -1/5040 (pow x 2))> |
#<alt (* -1/5040 (pow x 2))> |
#<alt (* -1/5040 (pow x 2))> |
#<alt (* -1/5040 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/720 (* 11/302400 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/720 (* (pow x 2) (+ 11/302400 (* -31/10886400 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1/720 (* (pow x 2) (+ 11/302400 (* (pow x 2) (- (* 13/152409600 (pow x 2)) 31/10886400))))))> |
#<alt (* 1/131681894400 (pow x 12))> |
#<alt (* (pow x 12) (- 1/131681894400 (* 1/914457600 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 12) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (* 1/914457600 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 12) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (+ (* 1/914457600 (/ 1 (pow x 2))) (* 31/10886400 (/ 1 (pow x 6))))))> |
#<alt (* 1/131681894400 (pow x 12))> |
#<alt (* (pow x 12) (- 1/131681894400 (* 1/914457600 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 12) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (* 1/914457600 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 12) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (+ (* 1/914457600 (/ 1 (pow x 2))) (* 31/10886400 (/ 1 (pow x 6))))))> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (* x (* x (* x (+ -1/6 (* (* x x) (+ 1/120 (* (* x x) -1/5040))))))) |
| 1.0ms | x | @ | inf | (* x (* x (/ (* (+ -1/216 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))))) x) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)))))) |
| 1.0ms | x | @ | inf | (* x (* x (/ (* (- 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))) x) (- -1/6 (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))))) |
| 0.0ms | x | @ | 0 | (* x (* x (/ (* (- 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))) x) (- -1/6 (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))))) |
| 0.0ms | x | @ | -inf | (* x (* x (* x (+ -1/6 (* (* x x) (+ 1/120 (* (* x x) -1/5040))))))) |
| 1× | batch-egg-rewrite |
| 3970× | *-lowering-*.f32 |
| 3970× | *-lowering-*.f64 |
| 2962× | /-lowering-/.f32 |
| 2962× | /-lowering-/.f64 |
| 2620× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 512 |
| 1 | 262 | 395 |
| 2 | 2279 | 390 |
| 0 | 9671 | 390 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (* x (/ (* (- 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))) x) (- -1/6 (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))))) |
(* x (/ (* (- 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))) x) (- -1/6 (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))))) |
(/ (* (- 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))) x) (- -1/6 (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))) |
(* (- 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))) x) |
(neg x) |
(* (* x x) (* x -1/6)) |
(* x x) |
(* x -1/6) |
(* x (* x (* x (+ -1/6 (* (* x x) (+ 1/120 (* (* x x) -1/5040))))))) |
(* x (* x (+ -1/6 (* (* x x) (+ 1/120 (* (* x x) -1/5040)))))) |
(* x (+ -1/6 (* (* x x) (+ 1/120 (* (* x x) -1/5040))))) |
(+ -1/6 (* (* x x) (+ 1/120 (* (* x x) -1/5040)))) |
(* x (* x (/ (* (+ -1/216 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))))) x) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)))))) |
(* x (/ (* (+ -1/216 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))))) x) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))))) |
(/ (* (+ -1/216 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))))) x) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)))) |
(* (+ -1/216 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))))) x) |
(* x 1/362880) |
(* x (* x 1/362880)) |
(* (* x x) (+ 1/120 (* (* x x) -1/5040))) |
(* (* x x) -1/5040) |
(* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)) |
| Outputs |
|---|
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) #s(literal -1/6 binary64)))))) |
(/.f64 (*.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)))))) (-.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x))))))) (-.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x))))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x))))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)))))) x) (-.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x))))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)))))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) #s(literal -1/6 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)))))) x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x))))) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) #s(literal -1/6 binary64))))) |
(*.f64 (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) #s(literal -1/6 binary64))) (*.f64 x x)) |
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(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x))) #s(literal -1/36 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)))) #s(literal 1/216 binary64)) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x))) #s(literal -1/36 binary64)) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x))) (+.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) #s(literal -1/6 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (+.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)))) #s(literal 1/216 binary64)))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) #s(literal -1/6 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x))) #s(literal -1/36 binary64)))) (neg.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)))) #s(literal 1/216 binary64)) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) #s(literal -1/6 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x))) #s(literal -1/36 binary64)) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)))) (neg.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) #s(literal -1/6 binary64)))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x))))) (pow.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x))))) (-.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x))) (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) #s(literal 1/6 binary64)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x))))) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x))))) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x))) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x))) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x))))))) |
(*.f64 x (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) #s(literal 1/6 binary64))))) |
(*.f64 (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x)))) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (+.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) #s(literal 1/6 binary64)))) |
(*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) #s(literal 1/6 binary64)))) x) |
(*.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) #s(literal 1/6 binary64)) x) (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) |
(*.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x)))) |
| 1× | egg-herbie |
| 3430× | *-lowering-*.f32 |
| 3430× | *-lowering-*.f64 |
| 2516× | +-lowering-+.f64 |
| 2516× | +-lowering-+.f32 |
| 1968× | sum4-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 241 | 2442 |
| 1 | 667 | 2376 |
| 2 | 2017 | 2338 |
| 3 | 6545 | 2335 |
| 0 | 8312 | 2335 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* 1/362880 (pow x 9)) |
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 9)) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* 1/362880 (pow x 8)) |
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 8)) |
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* -1/6 x) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* 1/362880 (pow x 7)) |
(* (pow x 7) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 7)) |
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* 1/36 x) |
(* x (+ 1/36 (* -1/14400 (pow x 4)))) |
(* x (+ 1/36 (* (pow x 4) (- (* 1/302400 (pow x 2)) 1/14400)))) |
(* x (+ 1/36 (* (pow x 4) (- (* (pow x 2) (+ 1/302400 (* -13/152409600 (pow x 2)))) 1/14400)))) |
(* -1/131681894400 (pow x 13)) |
(* (pow x 13) (- (* 1/914457600 (/ 1 (pow x 2))) 1/131681894400)) |
(* (pow x 13) (- (* 1/914457600 (/ 1 (pow x 2))) (+ 1/131681894400 (/ 13/152409600 (pow x 4))))) |
(* (pow x 13) (- (+ (* 1/914457600 (/ 1 (pow x 2))) (* 1/302400 (/ 1 (pow x 6)))) (+ 1/131681894400 (/ 13/152409600 (pow x 4))))) |
(* -1/131681894400 (pow x 13)) |
(* -1 (* (pow x 13) (- 1/131681894400 (* 1/914457600 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 13) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (* 1/914457600 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 13) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (+ (* 1/914457600 (/ 1 (pow x 2))) (* 1/302400 (/ 1 (pow x 6))))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(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) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* -1/5040 (pow x 7)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 7)) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* -1/5040 (pow x 6)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 6)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/6 x) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* -1/5040 (pow x 5)) |
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 5)) |
(* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(* -1/5040 (pow x 4)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 4)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* 1/362880 (pow x 9)) |
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 9)) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* 1/362880 (pow x 8)) |
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 8)) |
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* -1/6 x) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* 1/362880 (pow x 7)) |
(* (pow x 7) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 7)) |
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1/216 x) |
(* x (- (* 1/1728000 (pow x 6)) 1/216)) |
(* x (- (* (pow x 6) (+ 1/1728000 (* -1/24192000 (pow x 2)))) 1/216)) |
(* x (- (* (pow x 6) (+ 1/1728000 (* (pow x 2) (- (* 19/12192768000 (pow x 2)) 1/24192000)))) 1/216)) |
(* 1/47784725839872000 (pow x 19)) |
(* (pow x 19) (- 1/47784725839872000 (* 1/221225582592000 (/ 1 (pow x 2))))) |
(* (pow x 19) (- (+ 1/47784725839872000 (/ 19/36870930432000 (pow x 4))) (* 1/221225582592000 (/ 1 (pow x 2))))) |
(* (pow x 19) (- (+ 1/47784725839872000 (/ 19/36870930432000 (pow x 4))) (+ (* 1/221225582592000 (/ 1 (pow x 2))) (* 1/28449792000 (/ 1 (pow x 6)))))) |
(* 1/47784725839872000 (pow x 19)) |
(* -1 (* (pow x 19) (- (* 1/221225582592000 (/ 1 (pow x 2))) 1/47784725839872000))) |
(* -1 (* (pow x 19) (- (* 1/221225582592000 (/ 1 (pow x 2))) (+ 1/47784725839872000 (/ 19/36870930432000 (pow x 4)))))) |
(* -1 (* (pow x 19) (- (+ (* 1/221225582592000 (/ 1 (pow x 2))) (* 1/28449792000 (/ 1 (pow x 6)))) (+ 1/47784725839872000 (/ 19/36870930432000 (pow x 4)))))) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 (pow x 2)) |
(* 1/362880 (pow x 2)) |
(* 1/362880 (pow x 2)) |
(* 1/362880 (pow x 2)) |
(* 1/362880 (pow x 2)) |
(* 1/362880 (pow x 2)) |
(* 1/362880 (pow x 2)) |
(* 1/362880 (pow x 2)) |
(* 1/362880 (pow x 2)) |
(* 1/362880 (pow x 2)) |
(* 1/362880 (pow x 2)) |
(* 1/362880 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) |
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) |
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) |
(* -1/5040 (pow x 4)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* -1/5040 (pow x 4)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* -1/5040 (pow x 2)) |
(* -1/5040 (pow x 2)) |
(* -1/5040 (pow x 2)) |
(* -1/5040 (pow x 2)) |
(* -1/5040 (pow x 2)) |
(* -1/5040 (pow x 2)) |
(* -1/5040 (pow x 2)) |
(* -1/5040 (pow x 2)) |
(* -1/5040 (pow x 2)) |
(* -1/5040 (pow x 2)) |
(* -1/5040 (pow x 2)) |
(* -1/5040 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 11/302400 (pow x 2)))) |
(* (pow x 2) (+ 1/720 (* (pow x 2) (+ 11/302400 (* -31/10886400 (pow x 2)))))) |
(* (pow x 2) (+ 1/720 (* (pow x 2) (+ 11/302400 (* (pow x 2) (- (* 13/152409600 (pow x 2)) 31/10886400)))))) |
(* 1/131681894400 (pow x 12)) |
(* (pow x 12) (- 1/131681894400 (* 1/914457600 (/ 1 (pow x 2))))) |
(* (pow x 12) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (* 1/914457600 (/ 1 (pow x 2))))) |
(* (pow x 12) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (+ (* 1/914457600 (/ 1 (pow x 2))) (* 31/10886400 (/ 1 (pow x 6)))))) |
(* 1/131681894400 (pow x 12)) |
(* (pow x 12) (- 1/131681894400 (* 1/914457600 (/ 1 (pow x 2))))) |
(* (pow x 12) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (* 1/914457600 (/ 1 (pow x 2))))) |
(* (pow x 12) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (+ (* 1/914457600 (/ 1 (pow x 2))) (* 31/10886400 (/ 1 (pow x 6)))))) |
| Outputs |
|---|
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 x x) #s(literal 1/362880 binary64)))))))) |
(* 1/362880 (pow x 9)) |
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 9 binary64))) |
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(* 1/362880 (pow x 9)) |
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 x x) #s(literal 1/362880 binary64)))))))) |
(* 1/362880 (pow x 8)) |
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(*.f64 (+.f64 (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 8 binary64))) |
(* 1/362880 (pow x 8)) |
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
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(*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) |
(* -1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) |
(* -1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) |
(* -1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) |
(* -1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) |
(* -1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* (pow x 2) (+ 1/720 (* 11/302400 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal 11/302400 binary64)))) |
(* (pow x 2) (+ 1/720 (* (pow x 2) (+ 11/302400 (* -31/10886400 (pow x 2)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 11/302400 binary64) (*.f64 (*.f64 x x) #s(literal -31/10886400 binary64))))))) |
(* (pow x 2) (+ 1/720 (* (pow x 2) (+ 11/302400 (* (pow x 2) (- (* 13/152409600 (pow x 2)) 31/10886400)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/302400 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -31/10886400 binary64) (*.f64 (*.f64 x x) #s(literal 13/152409600 binary64))))))))) |
(* 1/131681894400 (pow x 12)) |
(*.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 12 binary64))) |
(* (pow x 12) (- 1/131681894400 (* 1/914457600 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/131681894400 binary64) (/.f64 #s(literal -1/914457600 binary64) (*.f64 x x))) (pow.f64 x #s(literal 12 binary64))) |
(* (pow x 12) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (* 1/914457600 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 13/152409600 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/131681894400 binary64) (/.f64 #s(literal -1/914457600 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 12 binary64))) |
(* (pow x 12) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (+ (* 1/914457600 (/ 1 (pow x 2))) (* 31/10886400 (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 13/152409600 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/131681894400 binary64) (/.f64 #s(literal -1/914457600 binary64) (*.f64 x x)))) (/.f64 #s(literal -31/10886400 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(* 1/131681894400 (pow x 12)) |
(*.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 12 binary64))) |
(* (pow x 12) (- 1/131681894400 (* 1/914457600 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/131681894400 binary64) (/.f64 #s(literal -1/914457600 binary64) (*.f64 x x))) (pow.f64 x #s(literal 12 binary64))) |
(* (pow x 12) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (* 1/914457600 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 13/152409600 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/131681894400 binary64) (/.f64 #s(literal -1/914457600 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 12 binary64))) |
(* (pow x 12) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (+ (* 1/914457600 (/ 1 (pow x 2))) (* 31/10886400 (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 13/152409600 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/131681894400 binary64) (/.f64 #s(literal -1/914457600 binary64) (*.f64 x x)))) (/.f64 #s(literal -31/10886400 binary64) (pow.f64 x #s(literal 6 binary64))))) |
Compiled 66726 to 2474 computations (96.3% saved)
24 alts after pruning (19 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 965 | 10 | 975 |
| Fresh | 4 | 9 | 13 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 972 | 24 | 996 |
| Status | Accuracy | Program |
|---|---|---|
| 20.3% | (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x))))) | |
| 2.0% | (/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 12 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 8 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (+.f64 x (sin.f64 x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x x)))) | |
| ✓ | 4.4% | (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 x (sin.f64 x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x x)))) |
| 99.3% | (/.f64 (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)))))) x) (-.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)))) | |
| 99.0% | (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64)))) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) | |
| 99.3% | (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) #s(literal -1/6 binary64))))) | |
| 65.4% | (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) x) | |
| ✓ | 66.1% | (-.f64 (sin.f64 x) x) |
| ▶ | 64.9% | (-.f64 x x) |
| ▶ | 99.1% | (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))) |
| 99.4% | (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) x) | |
| 99.3% | (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))))) x) | |
| 98.9% | (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) | |
| 99.3% | (*.f64 (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))))) (*.f64 x x)) | |
| ✓ | 98.9% | (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
| ▶ | 99.3% | (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))) (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
| 99.3% | (*.f64 x (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)))))) | |
| 99.4% | (*.f64 x (*.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal -1/14400 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/302400 binary64) (*.f64 (*.f64 x x) #s(literal -13/152409600 binary64))))) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))))) | |
| ▶ | 99.4% | (*.f64 x (*.f64 x (/.f64 (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/1728000 binary64) (*.f64 x (*.f64 x #s(literal -1/24192000 binary64))))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64))))))) |
| ▶ | 99.3% | (*.f64 x (*.f64 x (/.f64 (*.f64 x #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64))))))) |
| 98.9% | (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) | |
| 46.1% | (*.f64 #s(literal -1/6 binary64) (*.f64 x (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64)) (*.f64 x x)))) | |
| ✓ | 98.9% | (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | 6.4% | (neg.f64 x) |
Compiled 1233 to 608 computations (50.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/216 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x (/.f64 (*.f64 x #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (/.f64 (*.f64 x #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))) (*.f64 x x)) |
| ✓ | cost-diff | 256 | (+.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))) (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 256 | (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))) (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 128 | (-.f64 x x) |
| ✓ | cost-diff | 5824 | (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/1728000 binary64) (*.f64 x (*.f64 x #s(literal -1/24192000 binary64))))))) |
| ✓ | cost-diff | 5824 | (/.f64 (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/1728000 binary64) (*.f64 x (*.f64 x #s(literal -1/24192000 binary64))))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64))))) |
| ✓ | cost-diff | 5824 | (*.f64 x (/.f64 (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/1728000 binary64) (*.f64 x (*.f64 x #s(literal -1/24192000 binary64))))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64)))))) |
| ✓ | cost-diff | 5824 | (*.f64 x (*.f64 x (/.f64 (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/1728000 binary64) (*.f64 x (*.f64 x #s(literal -1/24192000 binary64))))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64))))))) |
| 5800× | +-lowering-+.f64 |
| 5800× | +-lowering-+.f32 |
| 2792× | *-lowering-*.f32 |
| 2792× | *-lowering-*.f64 |
| 1674× | sum3-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 850 |
| 1 | 155 | 750 |
| 2 | 470 | 750 |
| 3 | 1364 | 748 |
| 4 | 4570 | 748 |
| 0 | 8024 | 748 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (* x (/ (* x (+ -1/216 (* (pow x 6) (+ 1/1728000 (* x (* x -1/24192000)))))) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)))))) |
x |
(* x (/ (* x (+ -1/216 (* (pow x 6) (+ 1/1728000 (* x (* x -1/24192000)))))) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))))) |
(/ (* x (+ -1/216 (* (pow x 6) (+ 1/1728000 (* x (* x -1/24192000)))))) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)))) |
(* x (+ -1/216 (* (pow x 6) (+ 1/1728000 (* x (* x -1/24192000)))))) |
(+ -1/216 (* (pow x 6) (+ 1/1728000 (* x (* x -1/24192000))))) |
-1/216 |
(* (pow x 6) (+ 1/1728000 (* x (* x -1/24192000)))) |
(pow x 6) |
6 |
(+ 1/1728000 (* x (* x -1/24192000))) |
1/1728000 |
(* x (* x -1/24192000)) |
(* x -1/24192000) |
-1/24192000 |
(+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))) |
1/36 |
(* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)) |
(* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) |
(* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))) |
(+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))) |
1/120 |
(* x (* x (+ -1/5040 (* x (* x 1/362880))))) |
(* x (+ -1/5040 (* x (* x 1/362880)))) |
(+ -1/5040 (* x (* x 1/362880))) |
-1/5040 |
(* x (* x 1/362880)) |
(* x 1/362880) |
1/362880 |
(- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6) |
-1/6 |
(- x x) |
x |
(* (+ -1/6 (* (* x x) 1/120)) (* x (* x x))) |
(+ -1/6 (* (* x x) 1/120)) |
-1/6 |
(* (* x x) 1/120) |
(* x x) |
x |
1/120 |
(* x (* x x)) |
(* x (+ (* (* x (* x (+ 1/120 (* -1/5040 (* x x))))) (* x x)) (* -1/6 (* x x)))) |
x |
(+ (* (* x (* x (+ 1/120 (* -1/5040 (* x x))))) (* x x)) (* -1/6 (* x x))) |
(* (* x (* x (+ 1/120 (* -1/5040 (* x x))))) (* x x)) |
(* x (* x (+ 1/120 (* -1/5040 (* x x))))) |
(* x (+ 1/120 (* -1/5040 (* x x)))) |
(+ 1/120 (* -1/5040 (* x x))) |
1/120 |
(* -1/5040 (* x x)) |
-1/5040 |
(* x x) |
(* -1/6 (* x x)) |
-1/6 |
(* x (* x (/ (* x -1/216) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)))))) |
x |
(* x (/ (* x -1/216) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))))) |
(/ (* x -1/216) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)))) |
(* x -1/216) |
-1/216 |
(+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))) |
1/36 |
(* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)) |
(* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) |
(* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))) |
(+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))) |
1/120 |
(* x (* x (+ -1/5040 (* x (* x 1/362880))))) |
(* x (+ -1/5040 (* x (* x 1/362880)))) |
(+ -1/5040 (* x (* x 1/362880))) |
-1/5040 |
(* x (* x 1/362880)) |
(* x 1/362880) |
1/362880 |
(- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6) |
-1/6 |
| Outputs |
|---|
(* x (* x (/ (* x (+ -1/216 (* (pow x 6) (+ 1/1728000 (* x (* x -1/24192000)))))) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)))))) |
(/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/1728000 binary64) (*.f64 #s(literal -1/24192000 binary64) (*.f64 x x))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal 1/6 binary64))))))) |
x |
(* x (/ (* x (+ -1/216 (* (pow x 6) (+ 1/1728000 (* x (* x -1/24192000)))))) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))))) |
(/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/1728000 binary64) (*.f64 #s(literal -1/24192000 binary64) (*.f64 x x))))) (*.f64 x x)) (+.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal 1/6 binary64))))))) |
(/ (* x (+ -1/216 (* (pow x 6) (+ 1/1728000 (* x (* x -1/24192000)))))) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)))) |
(/.f64 (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/1728000 binary64) (*.f64 #s(literal -1/24192000 binary64) (*.f64 x x)))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal 1/6 binary64))))))) |
(* x (+ -1/216 (* (pow x 6) (+ 1/1728000 (* x (* x -1/24192000)))))) |
(*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/1728000 binary64) (*.f64 #s(literal -1/24192000 binary64) (*.f64 x x)))))) |
(+ -1/216 (* (pow x 6) (+ 1/1728000 (* x (* x -1/24192000))))) |
(+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/1728000 binary64) (*.f64 #s(literal -1/24192000 binary64) (*.f64 x x))))) |
-1/216 |
#s(literal -1/216 binary64) |
(* (pow x 6) (+ 1/1728000 (* x (* x -1/24192000)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/1728000 binary64) (*.f64 #s(literal -1/24192000 binary64) (*.f64 x x)))) |
(pow x 6) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) |
6 |
#s(literal 6 binary64) |
(+ 1/1728000 (* x (* x -1/24192000))) |
(+.f64 #s(literal 1/1728000 binary64) (*.f64 #s(literal -1/24192000 binary64) (*.f64 x x))) |
1/1728000 |
#s(literal 1/1728000 binary64) |
(* x (* x -1/24192000)) |
(*.f64 #s(literal -1/24192000 binary64) (*.f64 x x)) |
(* x -1/24192000) |
(*.f64 x #s(literal -1/24192000 binary64)) |
-1/24192000 |
#s(literal -1/24192000 binary64) |
(+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))) |
(+.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal 1/6 binary64)))))) |
1/36 |
#s(literal 1/36 binary64) |
(* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)) |
(*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal 1/6 binary64))))) |
(* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) |
(* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))) |
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))))))) |
(+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))) |
(+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) |
1/120 |
#s(literal 1/120 binary64) |
(* x (* x (+ -1/5040 (* x (* x 1/362880))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))))) |
(* x (+ -1/5040 (* x (* x 1/362880)))) |
(*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))) |
(+ -1/5040 (* x (* x 1/362880))) |
(+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) |
-1/5040 |
#s(literal -1/5040 binary64) |
(* x (* x 1/362880)) |
(*.f64 x (*.f64 x #s(literal 1/362880 binary64))) |
(* x 1/362880) |
(*.f64 x #s(literal 1/362880 binary64)) |
1/362880 |
#s(literal 1/362880 binary64) |
(- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6) |
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal 1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(- x x) |
#s(literal 0 binary64) |
x |
(* (+ -1/6 (* (* x x) 1/120)) (* x (* x x))) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) |
(+ -1/6 (* (* x x) 1/120)) |
(+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) |
-1/6 |
#s(literal -1/6 binary64) |
(* (* x x) 1/120) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
(* x x) |
(*.f64 x x) |
x |
1/120 |
#s(literal 1/120 binary64) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x (+ (* (* x (* x (+ 1/120 (* -1/5040 (* x x))))) (* x x)) (* -1/6 (* x x)))) |
(*.f64 (*.f64 x (*.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))))))) |
x |
(+ (* (* x (* x (+ 1/120 (* -1/5040 (* x x))))) (* x x)) (* -1/6 (* x x))) |
(*.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))))))) |
(* (* x (* x (+ 1/120 (* -1/5040 (* x x))))) (* x x)) |
(*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* x (* x (+ 1/120 (* -1/5040 (* x x))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))) |
(* x (+ 1/120 (* -1/5040 (* x x)))) |
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))) |
(+ 1/120 (* -1/5040 (* x x))) |
(+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))) |
1/120 |
#s(literal 1/120 binary64) |
(* -1/5040 (* x x)) |
(*.f64 x (*.f64 x #s(literal -1/5040 binary64))) |
-1/5040 |
#s(literal -1/5040 binary64) |
(* x x) |
(*.f64 x x) |
(* -1/6 (* x x)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
-1/6 |
#s(literal -1/6 binary64) |
(* x (* x (/ (* x -1/216) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)))))) |
(/.f64 (*.f64 x (*.f64 #s(literal -1/216 binary64) (*.f64 x x))) (+.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal 1/6 binary64))))))) |
x |
(* x (/ (* x -1/216) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))))) |
(/.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 x x)) (+.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal 1/6 binary64))))))) |
(/ (* x -1/216) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)))) |
(/.f64 (*.f64 x #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal 1/6 binary64))))))) |
(* x -1/216) |
(*.f64 x #s(literal -1/216 binary64)) |
-1/216 |
#s(literal -1/216 binary64) |
(+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))) |
(+.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal 1/6 binary64)))))) |
1/36 |
#s(literal 1/36 binary64) |
(* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)) |
(*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal 1/6 binary64))))) |
(* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) |
(* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))) |
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))))))) |
(+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))) |
(+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) |
1/120 |
#s(literal 1/120 binary64) |
(* x (* x (+ -1/5040 (* x (* x 1/362880))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))))) |
(* x (+ -1/5040 (* x (* x 1/362880)))) |
(*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))) |
(+ -1/5040 (* x (* x 1/362880))) |
(+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) |
-1/5040 |
#s(literal -1/5040 binary64) |
(* x (* x 1/362880)) |
(*.f64 x (*.f64 x #s(literal 1/362880 binary64))) |
(* x 1/362880) |
(*.f64 x #s(literal 1/362880 binary64)) |
1/362880 |
#s(literal 1/362880 binary64) |
(- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6) |
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal 1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal -1/216 binary64)) |
| ✓ | accuracy | 99.3% | (/.f64 (*.f64 x #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64))))) |
| ✓ | accuracy | 99.3% | (*.f64 x #s(literal 1/362880 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))) (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 x x) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/1728000 binary64) (*.f64 x (*.f64 x #s(literal -1/24192000 binary64))))))) |
| ✓ | accuracy | 99.3% | (*.f64 x #s(literal 1/362880 binary64)) |
| ✓ | accuracy | 99.3% | (/.f64 (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/1728000 binary64) (*.f64 x (*.f64 x #s(literal -1/24192000 binary64))))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64))))) |
| 192.0ms | 256× | 0 | valid |
Compiled 878 to 50 computations (94.3% saved)
ival-mult: 67.0ms (51.9% of total)...c/correct-round.rkt:119:19: 38.0ms (29.4% of total)ival-add: 12.0ms (9.3% of total)ival-pow: 5.0ms (3.9% of total)ival-div: 3.0ms (2.3% of total)ival-sub: 2.0ms (1.5% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x (* x (/ (* x (+ -1/216 (* (pow x 6) (+ 1/1728000 (* x (* x -1/24192000)))))) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))))))> |
#<alt (* x (/ (* x (+ -1/216 (* (pow x 6) (+ 1/1728000 (* x (* x -1/24192000)))))) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)))))> |
#<alt (/ (* x (+ -1/216 (* (pow x 6) (+ 1/1728000 (* x (* x -1/24192000)))))) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))))> |
#<alt (* x (+ -1/216 (* (pow x 6) (+ 1/1728000 (* x (* x -1/24192000))))))> |
#<alt (- x x)> |
#<alt (* (+ -1/6 (* (* x x) 1/120)) (* x (* x x)))> |
#<alt (+ -1/6 (* (* x x) 1/120))> |
#<alt (* (* x x) 1/120)> |
#<alt (* x x)> |
#<alt (* x (+ (* (* x (* x (+ 1/120 (* -1/5040 (* x x))))) (* x x)) (* -1/6 (* x x))))> |
#<alt (+ (* (* x (* x (+ 1/120 (* -1/5040 (* x x))))) (* x x)) (* -1/6 (* x x)))> |
#<alt (* (* x (* x (+ 1/120 (* -1/5040 (* x x))))) (* x x))> |
#<alt (* x (* x (+ 1/120 (* -1/5040 (* x x)))))> |
#<alt (* x (* x (/ (* x -1/216) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))))))> |
#<alt (* x (/ (* x -1/216) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)))))> |
#<alt (/ (* x -1/216) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))))> |
#<alt (* x -1/216)> |
#<alt (* x 1/362880)> |
#<alt (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))> |
#<alt (* x (* x x))> |
#<alt (* -1/6 (* x x))> |
#<alt (* x (+ 1/120 (* -1/5040 (* x x))))> |
| Outputs |
|---|
#<alt (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))> |
#<alt (/ -27216/5 x)> |
#<alt (* -1 (/ (+ 27216/5 (* 707616 (/ 1 (pow x 2)))) x))> |
#<alt (/ (- (* -1 (/ (+ 707616 (* 203793408/5 (/ 1 (pow x 2)))) (pow x 2))) 27216/5) x)> |
#<alt (/ (- (* 188116992/5 (/ 1 (pow x 6))) (+ 27216/5 (+ (* 707616 (/ 1 (pow x 2))) (/ 203793408/5 (pow x 4))))) x)> |
#<alt (/ -27216/5 x)> |
#<alt (* -1 (/ (+ 27216/5 (* 707616 (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (+ 27216/5 (+ (* 707616 (/ 1 (pow x 2))) (/ 203793408/5 (pow x 4)))) x))> |
#<alt (* -1 (/ (- (+ 27216/5 (+ (* 707616 (/ 1 (pow x 2))) (/ 203793408/5 (pow x 4)))) (* 188116992/5 (/ 1 (pow x 6)))) x))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))> |
#<alt (/ -27216/5 (pow x 2))> |
#<alt (* -1 (/ (+ 27216/5 (* 707616 (/ 1 (pow x 2)))) (pow x 2)))> |
#<alt (/ (- (* -1 (/ (+ 707616 (* 203793408/5 (/ 1 (pow x 2)))) (pow x 2))) 27216/5) (pow x 2))> |
#<alt (/ (- (* 188116992/5 (/ 1 (pow x 6))) (+ 27216/5 (+ (* 707616 (/ 1 (pow x 2))) (/ 203793408/5 (pow x 4))))) (pow x 2))> |
#<alt (/ -27216/5 (pow x 2))> |
#<alt (* -1 (/ (+ 27216/5 (* 707616 (/ 1 (pow x 2)))) (pow x 2)))> |
#<alt (/ (- (* -1 (/ (+ 707616 (* 203793408/5 (/ 1 (pow x 2)))) (pow x 2))) 27216/5) (pow x 2))> |
#<alt (/ (- (* 188116992/5 (/ 1 (pow x 6))) (+ 27216/5 (+ (* 707616 (/ 1 (pow x 2))) (/ 203793408/5 (pow x 4))))) (pow x 2))> |
#<alt (* -1/6 x)> |
#<alt (* x (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))> |
#<alt (/ -27216/5 (pow x 3))> |
#<alt (* -1 (/ (+ 27216/5 (* 707616 (/ 1 (pow x 2)))) (pow x 3)))> |
#<alt (/ (- (* -1 (/ (+ 707616 (* 203793408/5 (/ 1 (pow x 2)))) (pow x 2))) 27216/5) (pow x 3))> |
#<alt (/ (- (* 188116992/5 (/ 1 (pow x 6))) (+ 27216/5 (+ (* 707616 (/ 1 (pow x 2))) (/ 203793408/5 (pow x 4))))) (pow x 3))> |
#<alt (/ -27216/5 (pow x 3))> |
#<alt (* -1 (/ (+ 27216/5 (* 707616 (/ 1 (pow x 2)))) (pow x 3)))> |
#<alt (* -1 (/ (+ 27216/5 (+ (* 707616 (/ 1 (pow x 2))) (/ 203793408/5 (pow x 4)))) (pow x 3)))> |
#<alt (* -1 (/ (- (+ 27216/5 (+ (* 707616 (/ 1 (pow x 2))) (/ 203793408/5 (pow x 4)))) (* 188116992/5 (/ 1 (pow x 6)))) (pow x 3)))> |
#<alt (* -1/216 x)> |
#<alt (* x (- (* 1/1728000 (pow x 6)) 1/216))> |
#<alt (* x (- (* (pow x 6) (+ 1/1728000 (* -1/24192000 (pow x 2)))) 1/216))> |
#<alt (* x (- (* (pow x 6) (+ 1/1728000 (* -1/24192000 (pow x 2)))) 1/216))> |
#<alt (* -1/24192000 (pow x 9))> |
#<alt (* (pow x 9) (- (* 1/1728000 (/ 1 (pow x 2))) 1/24192000))> |
#<alt (* (pow x 9) (- (* 1/1728000 (/ 1 (pow x 2))) (+ 1/24192000 (/ 1/216 (pow x 8)))))> |
#<alt (* (pow x 9) (- (* 1/1728000 (/ 1 (pow x 2))) (+ 1/24192000 (/ 1/216 (pow x 8)))))> |
#<alt (* -1/24192000 (pow x 9))> |
#<alt (* -1 (* (pow x 9) (- 1/24192000 (* 1/1728000 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 9) (- (+ 1/24192000 (/ 1/216 (pow x 8))) (* 1/1728000 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 9) (- (+ 1/24192000 (/ 1/216 (pow x 8))) (* 1/1728000 (/ 1 (pow x 2))))))> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))> |
#<alt -1/6> |
#<alt (- (* 1/120 (pow x 2)) 1/6)> |
#<alt (- (* 1/120 (pow x 2)) 1/6)> |
#<alt (- (* 1/120 (pow x 2)) 1/6)> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/120 (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 (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 (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* -1/5040 (pow x 7))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/5040 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* -1/5040 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/5040 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/120 (* -1/5040 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/120 (* -1/5040 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/120 (* -1/5040 (pow x 2))))> |
#<alt (* -1/5040 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* -1/5040 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))> |
#<alt (* -1/5040 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* -1/5040 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* -41/2268000 (pow x 2)) 1/5040)))) 1/6))> |
#<alt (/ -609638400 (pow x 9))> |
#<alt (* -1 (/ (+ 609638400 (* 87787929600 (/ 1 (pow x 2)))) (pow x 9)))> |
#<alt (/ (- (* -1 (/ (+ 87787929600 (* 5794003353600 (/ 1 (pow x 2)))) (pow x 2))) 609638400) (pow x 9))> |
#<alt (/ (- (* -1 (/ (+ 5794003353600 (* 76902226329600 (/ 1 (pow x 2)))) (pow x 4))) (+ 609638400 (* 87787929600 (/ 1 (pow x 2))))) (pow x 9))> |
#<alt (/ -609638400 (pow x 9))> |
#<alt (* -1 (/ (+ 609638400 (* 87787929600 (/ 1 (pow x 2)))) (pow x 9)))> |
#<alt (* -1 (/ (+ 609638400 (+ (* 87787929600 (/ 1 (pow x 2))) (/ 5794003353600 (pow x 4)))) (pow x 9)))> |
#<alt (* -1 (/ (+ 609638400 (+ (* 87787929600 (/ 1 (pow x 2))) (+ (* 76902226329600 (/ 1 (pow x 6))) (/ 5794003353600 (pow x 4))))) (pow x 9)))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* -41/2268000 (pow x 2)) 1/5040)))) 1/6))> |
#<alt (/ -609638400 (pow x 10))> |
#<alt (* -1 (/ (+ 609638400 (* 87787929600 (/ 1 (pow x 2)))) (pow x 10)))> |
#<alt (/ (- (* -1 (/ (+ 87787929600 (* 5794003353600 (/ 1 (pow x 2)))) (pow x 2))) 609638400) (pow x 10))> |
#<alt (/ (- (* -1 (/ (+ 5794003353600 (* 76902226329600 (/ 1 (pow x 2)))) (pow x 4))) (+ 609638400 (* 87787929600 (/ 1 (pow x 2))))) (pow x 10))> |
#<alt (/ -609638400 (pow x 10))> |
#<alt (* -1 (/ (+ 609638400 (* 87787929600 (/ 1 (pow x 2)))) (pow x 10)))> |
#<alt (/ (- (* -1 (/ (+ 87787929600 (* 5794003353600 (/ 1 (pow x 2)))) (pow x 2))) 609638400) (pow x 10))> |
#<alt (/ (- (* -1 (/ (+ 5794003353600 (* 76902226329600 (/ 1 (pow x 2)))) (pow x 4))) (+ 609638400 (* 87787929600 (/ 1 (pow x 2))))) (pow x 10))> |
#<alt (* -1/6 x)> |
#<alt (* x (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* -41/2268000 (pow x 2)) 1/5040)))) 1/6))> |
#<alt (/ -609638400 (pow x 11))> |
#<alt (* -1 (/ (+ 609638400 (* 87787929600 (/ 1 (pow x 2)))) (pow x 11)))> |
#<alt (/ (- (* -1 (/ (+ 87787929600 (* 5794003353600 (/ 1 (pow x 2)))) (pow x 2))) 609638400) (pow x 11))> |
#<alt (/ (- (* -1 (/ (+ 5794003353600 (* 76902226329600 (/ 1 (pow x 2)))) (pow x 4))) (+ 609638400 (* 87787929600 (/ 1 (pow x 2))))) (pow x 11))> |
#<alt (/ -609638400 (pow x 11))> |
#<alt (* -1 (/ (+ 609638400 (* 87787929600 (/ 1 (pow x 2)))) (pow x 11)))> |
#<alt (* -1 (/ (+ 609638400 (+ (* 87787929600 (/ 1 (pow x 2))) (/ 5794003353600 (pow x 4)))) (pow x 11)))> |
#<alt (* -1 (/ (+ 609638400 (+ (* 87787929600 (/ 1 (pow x 2))) (+ (* 76902226329600 (/ 1 (pow x 6))) (/ 5794003353600 (pow x 4))))) (pow x 11)))> |
#<alt (* -1/216 x)> |
#<alt (* -1/216 x)> |
#<alt (* -1/216 x)> |
#<alt (* -1/216 x)> |
#<alt (* -1/216 x)> |
#<alt (* -1/216 x)> |
#<alt (* -1/216 x)> |
#<alt (* -1/216 x)> |
#<alt (* -1/216 x)> |
#<alt (* -1/216 x)> |
#<alt (* -1/216 x)> |
#<alt (* -1/216 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/720 (* 11/302400 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/720 (* (pow x 2) (+ 11/302400 (* -31/10886400 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1/720 (* (pow x 2) (+ 11/302400 (* (pow x 2) (- (* 13/152409600 (pow x 2)) 31/10886400))))))> |
#<alt (* 1/131681894400 (pow x 12))> |
#<alt (* (pow x 12) (- 1/131681894400 (* 1/914457600 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 12) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (* 1/914457600 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 12) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (+ (* 1/914457600 (/ 1 (pow x 2))) (* 31/10886400 (/ 1 (pow x 6))))))> |
#<alt (* 1/131681894400 (pow x 12))> |
#<alt (* (pow x 12) (- 1/131681894400 (* 1/914457600 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 12) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (* 1/914457600 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 12) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (+ (* 1/914457600 (/ 1 (pow x 2))) (* 31/10886400 (/ 1 (pow x 6))))))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* 1/120 x)> |
#<alt (* x (+ 1/120 (* -1/5040 (pow x 2))))> |
#<alt (* x (+ 1/120 (* -1/5040 (pow x 2))))> |
#<alt (* x (+ 1/120 (* -1/5040 (pow x 2))))> |
#<alt (* -1/5040 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* -1/5040 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))> |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (* x (+ -1/216 (* (pow x 6) (+ 1/1728000 (* x (* x -1/24192000)))))) |
| 1.0ms | x | @ | inf | (* x (* x (/ (* x (+ -1/216 (* (pow x 6) (+ 1/1728000 (* x (* x -1/24192000)))))) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)))))) |
| 0.0ms | x | @ | inf | (* x (+ (* (* x (* x (+ 1/120 (* -1/5040 (* x x))))) (* x x)) (* -1/6 (* x x)))) |
| 0.0ms | x | @ | -inf | (* x (* x (/ (* x (+ -1/216 (* (pow x 6) (+ 1/1728000 (* x (* x -1/24192000)))))) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)))))) |
| 0.0ms | x | @ | -inf | (* x (* x (/ (* x -1/216) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)))))) |
| 1× | batch-egg-rewrite |
| 4282× | *-lowering-*.f32 |
| 4282× | *-lowering-*.f64 |
| 3068× | /-lowering-/.f32 |
| 3068× | /-lowering-/.f64 |
| 2228× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 463 |
| 1 | 294 | 404 |
| 2 | 2525 | 402 |
| 0 | 9307 | 402 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (* x (/ (* x (+ -1/216 (* (pow x 6) (+ 1/1728000 (* x (* x -1/24192000)))))) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)))))) |
(* x (/ (* x (+ -1/216 (* (pow x 6) (+ 1/1728000 (* x (* x -1/24192000)))))) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))))) |
(/ (* x (+ -1/216 (* (pow x 6) (+ 1/1728000 (* x (* x -1/24192000)))))) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)))) |
(* x (+ -1/216 (* (pow x 6) (+ 1/1728000 (* x (* x -1/24192000)))))) |
(- x x) |
(* (+ -1/6 (* (* x x) 1/120)) (* x (* x x))) |
(+ -1/6 (* (* x x) 1/120)) |
(* (* x x) 1/120) |
(* x x) |
(* x (+ (* (* x (* x (+ 1/120 (* -1/5040 (* x x))))) (* x x)) (* -1/6 (* x x)))) |
(+ (* (* x (* x (+ 1/120 (* -1/5040 (* x x))))) (* x x)) (* -1/6 (* x x))) |
(* (* x (* x (+ 1/120 (* -1/5040 (* x x))))) (* x x)) |
(* x (* x (+ 1/120 (* -1/5040 (* x x))))) |
(* x (* x (/ (* x -1/216) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)))))) |
(* x (/ (* x -1/216) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))))) |
(/ (* x -1/216) (+ 1/36 (* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)))) |
(* x -1/216) |
(* x 1/362880) |
(* (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) (- (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)) |
(* x (* x x)) |
(* -1/6 (* x x)) |
(* x (+ 1/120 (* -1/5040 (* x x)))) |
| Outputs |
|---|
(/.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) #s(literal 1/6 binary64)))) (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 x (*.f64 x #s(literal -1/24192000 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))))) |
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) #s(literal 1/6 binary64)))) (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 x (*.f64 x #s(literal -1/24192000 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))))) |
(/.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 x (*.f64 x #s(literal -1/24192000 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) #s(literal 1/6 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) #s(literal 1/6 binary64)))) (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 x (*.f64 x #s(literal -1/24192000 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))))) |
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/216 binary64) (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 x (*.f64 x #s(literal -1/24192000 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) #s(literal 1/6 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 x (*.f64 x #s(literal -1/24192000 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 0 binary64) x))) (+.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) #s(literal 1/6 binary64)))) #s(literal -1/36 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/216 binary64) (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 x (*.f64 x #s(literal -1/24192000 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) #s(literal 1/6 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 x (*.f64 x #s(literal -1/24192000 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))))) (+.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) #s(literal 1/6 binary64)))) #s(literal -1/36 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) #s(literal 1/6 binary64)))) (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 x (*.f64 x #s(literal -1/24192000 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/216 binary64) (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 x (*.f64 x #s(literal -1/24192000 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))))) (+.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) #s(literal 1/6 binary64)))) #s(literal -1/36 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 x (*.f64 x #s(literal -1/24192000 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 0 binary64) x)))) (neg.f64 (+.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) #s(literal 1/6 binary64)))) #s(literal -1/36 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/216 binary64) (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 x (*.f64 x #s(literal -1/24192000 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) x)) (+.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) #s(literal 1/6 binary64)))) #s(literal -1/36 binary64))) |
(*.f64 x (/.f64 x (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) #s(literal 1/6 binary64)))) (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 x (*.f64 x #s(literal -1/24192000 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))))) |
(*.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 x (*.f64 x #s(literal -1/24192000 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) #s(literal 1/6 binary64))))) (*.f64 x x)) |
(*.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) #s(literal 1/6 binary64)))) (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 x (*.f64 x #s(literal -1/24192000 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))))) x) |
(*.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 x (*.f64 x #s(literal -1/24192000 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) #s(literal 1/6 binary64)))))) |
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(*.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) #s(literal 1/6 binary64)) (*.f64 x x)) (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 x #s(literal -1/6 binary64)) x) |
(+.f64 (*.f64 x #s(literal 1/120 binary64)) (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/120 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 x #s(literal 1/120 binary64)) (*.f64 x #s(literal 1/120 binary64))) (-.f64 (*.f64 x #s(literal 1/120 binary64)) (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x #s(literal 1/120 binary64)) (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x)))))) |
(fma.f64 x #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) (*.f64 x #s(literal 1/120 binary64))) |
(fma.f64 #s(literal 1/120 binary64) x (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/5040 binary64)) (*.f64 x #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) x (*.f64 x #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 x #s(literal -1/5040 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/120 binary64))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/128024064000 binary64))))) (+.f64 (*.f64 (*.f64 x #s(literal 1/120 binary64)) (*.f64 x #s(literal 1/120 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x #s(literal 1/120 binary64)) (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/120 binary64)) (*.f64 x #s(literal 1/120 binary64))) (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 x #s(literal 1/120 binary64)) (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/128024064000 binary64))))) (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/128024064000 binary64)))) x) (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/128024064000 binary64)))))) (neg.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/120 binary64)) (*.f64 x #s(literal 1/120 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x #s(literal 1/120 binary64)) (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/120 binary64)) (*.f64 x #s(literal 1/120 binary64))) (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (-.f64 (*.f64 x #s(literal 1/120 binary64)) (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/128024064000 binary64)))))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) (neg.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/128024064000 binary64)))) x)) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x)) (neg.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 x x))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/128024064000 binary64)))) (*.f64 #s(literal 1/1728000 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x #s(literal 1/120 binary64)) (*.f64 x #s(literal 1/120 binary64))) (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/120 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))) |
(*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))) x) |
| 1× | egg-herbie |
| 3262× | *-lowering-*.f32 |
| 3262× | *-lowering-*.f64 |
| 1808× | +-lowering-+.f64 |
| 1808× | +-lowering-+.f32 |
| 1500× | sum3-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 255 | 2403 |
| 1 | 690 | 2353 |
| 2 | 2005 | 2307 |
| 3 | 6046 | 2296 |
| 0 | 8156 | 2296 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(/ -27216/5 x) |
(* -1 (/ (+ 27216/5 (* 707616 (/ 1 (pow x 2)))) x)) |
(/ (- (* -1 (/ (+ 707616 (* 203793408/5 (/ 1 (pow x 2)))) (pow x 2))) 27216/5) x) |
(/ (- (* 188116992/5 (/ 1 (pow x 6))) (+ 27216/5 (+ (* 707616 (/ 1 (pow x 2))) (/ 203793408/5 (pow x 4))))) x) |
(/ -27216/5 x) |
(* -1 (/ (+ 27216/5 (* 707616 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (+ 27216/5 (+ (* 707616 (/ 1 (pow x 2))) (/ 203793408/5 (pow x 4)))) x)) |
(* -1 (/ (- (+ 27216/5 (+ (* 707616 (/ 1 (pow x 2))) (/ 203793408/5 (pow x 4)))) (* 188116992/5 (/ 1 (pow x 6)))) x)) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(/ -27216/5 (pow x 2)) |
(* -1 (/ (+ 27216/5 (* 707616 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 707616 (* 203793408/5 (/ 1 (pow x 2)))) (pow x 2))) 27216/5) (pow x 2)) |
(/ (- (* 188116992/5 (/ 1 (pow x 6))) (+ 27216/5 (+ (* 707616 (/ 1 (pow x 2))) (/ 203793408/5 (pow x 4))))) (pow x 2)) |
(/ -27216/5 (pow x 2)) |
(* -1 (/ (+ 27216/5 (* 707616 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 707616 (* 203793408/5 (/ 1 (pow x 2)))) (pow x 2))) 27216/5) (pow x 2)) |
(/ (- (* 188116992/5 (/ 1 (pow x 6))) (+ 27216/5 (+ (* 707616 (/ 1 (pow x 2))) (/ 203793408/5 (pow x 4))))) (pow x 2)) |
(* -1/6 x) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(/ -27216/5 (pow x 3)) |
(* -1 (/ (+ 27216/5 (* 707616 (/ 1 (pow x 2)))) (pow x 3))) |
(/ (- (* -1 (/ (+ 707616 (* 203793408/5 (/ 1 (pow x 2)))) (pow x 2))) 27216/5) (pow x 3)) |
(/ (- (* 188116992/5 (/ 1 (pow x 6))) (+ 27216/5 (+ (* 707616 (/ 1 (pow x 2))) (/ 203793408/5 (pow x 4))))) (pow x 3)) |
(/ -27216/5 (pow x 3)) |
(* -1 (/ (+ 27216/5 (* 707616 (/ 1 (pow x 2)))) (pow x 3))) |
(* -1 (/ (+ 27216/5 (+ (* 707616 (/ 1 (pow x 2))) (/ 203793408/5 (pow x 4)))) (pow x 3))) |
(* -1 (/ (- (+ 27216/5 (+ (* 707616 (/ 1 (pow x 2))) (/ 203793408/5 (pow x 4)))) (* 188116992/5 (/ 1 (pow x 6)))) (pow x 3))) |
(* -1/216 x) |
(* x (- (* 1/1728000 (pow x 6)) 1/216)) |
(* x (- (* (pow x 6) (+ 1/1728000 (* -1/24192000 (pow x 2)))) 1/216)) |
(* x (- (* (pow x 6) (+ 1/1728000 (* -1/24192000 (pow x 2)))) 1/216)) |
(* -1/24192000 (pow x 9)) |
(* (pow x 9) (- (* 1/1728000 (/ 1 (pow x 2))) 1/24192000)) |
(* (pow x 9) (- (* 1/1728000 (/ 1 (pow x 2))) (+ 1/24192000 (/ 1/216 (pow x 8))))) |
(* (pow x 9) (- (* 1/1728000 (/ 1 (pow x 2))) (+ 1/24192000 (/ 1/216 (pow x 8))))) |
(* -1/24192000 (pow x 9)) |
(* -1 (* (pow x 9) (- 1/24192000 (* 1/1728000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 9) (- (+ 1/24192000 (/ 1/216 (pow x 8))) (* 1/1728000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 9) (- (+ 1/24192000 (/ 1/216 (pow x 8))) (* 1/1728000 (/ 1 (pow x 2)))))) |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* 1/120 (pow x 2)) 1/6) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (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)) |
(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) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* -1/5040 (pow x 7)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 7)) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* -1/5040 (pow x 6)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 6)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* -1/5040 (pow x 2)))) |
(* (pow x 4) (+ 1/120 (* -1/5040 (pow x 2)))) |
(* (pow x 4) (+ 1/120 (* -1/5040 (pow x 2)))) |
(* -1/5040 (pow x 6)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* -1/5040 (pow x 6)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) |
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) |
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) |
(* -1/5040 (pow x 4)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* -1/5040 (pow x 4)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* -41/2268000 (pow x 2)) 1/5040)))) 1/6)) |
(/ -609638400 (pow x 9)) |
(* -1 (/ (+ 609638400 (* 87787929600 (/ 1 (pow x 2)))) (pow x 9))) |
(/ (- (* -1 (/ (+ 87787929600 (* 5794003353600 (/ 1 (pow x 2)))) (pow x 2))) 609638400) (pow x 9)) |
(/ (- (* -1 (/ (+ 5794003353600 (* 76902226329600 (/ 1 (pow x 2)))) (pow x 4))) (+ 609638400 (* 87787929600 (/ 1 (pow x 2))))) (pow x 9)) |
(/ -609638400 (pow x 9)) |
(* -1 (/ (+ 609638400 (* 87787929600 (/ 1 (pow x 2)))) (pow x 9))) |
(* -1 (/ (+ 609638400 (+ (* 87787929600 (/ 1 (pow x 2))) (/ 5794003353600 (pow x 4)))) (pow x 9))) |
(* -1 (/ (+ 609638400 (+ (* 87787929600 (/ 1 (pow x 2))) (+ (* 76902226329600 (/ 1 (pow x 6))) (/ 5794003353600 (pow x 4))))) (pow x 9))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* -41/2268000 (pow x 2)) 1/5040)))) 1/6)) |
(/ -609638400 (pow x 10)) |
(* -1 (/ (+ 609638400 (* 87787929600 (/ 1 (pow x 2)))) (pow x 10))) |
(/ (- (* -1 (/ (+ 87787929600 (* 5794003353600 (/ 1 (pow x 2)))) (pow x 2))) 609638400) (pow x 10)) |
(/ (- (* -1 (/ (+ 5794003353600 (* 76902226329600 (/ 1 (pow x 2)))) (pow x 4))) (+ 609638400 (* 87787929600 (/ 1 (pow x 2))))) (pow x 10)) |
(/ -609638400 (pow x 10)) |
(* -1 (/ (+ 609638400 (* 87787929600 (/ 1 (pow x 2)))) (pow x 10))) |
(/ (- (* -1 (/ (+ 87787929600 (* 5794003353600 (/ 1 (pow x 2)))) (pow x 2))) 609638400) (pow x 10)) |
(/ (- (* -1 (/ (+ 5794003353600 (* 76902226329600 (/ 1 (pow x 2)))) (pow x 4))) (+ 609638400 (* 87787929600 (/ 1 (pow x 2))))) (pow x 10)) |
(* -1/6 x) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* -41/2268000 (pow x 2)) 1/5040)))) 1/6)) |
(/ -609638400 (pow x 11)) |
(* -1 (/ (+ 609638400 (* 87787929600 (/ 1 (pow x 2)))) (pow x 11))) |
(/ (- (* -1 (/ (+ 87787929600 (* 5794003353600 (/ 1 (pow x 2)))) (pow x 2))) 609638400) (pow x 11)) |
(/ (- (* -1 (/ (+ 5794003353600 (* 76902226329600 (/ 1 (pow x 2)))) (pow x 4))) (+ 609638400 (* 87787929600 (/ 1 (pow x 2))))) (pow x 11)) |
(/ -609638400 (pow x 11)) |
(* -1 (/ (+ 609638400 (* 87787929600 (/ 1 (pow x 2)))) (pow x 11))) |
(* -1 (/ (+ 609638400 (+ (* 87787929600 (/ 1 (pow x 2))) (/ 5794003353600 (pow x 4)))) (pow x 11))) |
(* -1 (/ (+ 609638400 (+ (* 87787929600 (/ 1 (pow x 2))) (+ (* 76902226329600 (/ 1 (pow x 6))) (/ 5794003353600 (pow x 4))))) (pow x 11))) |
(* -1/216 x) |
(* -1/216 x) |
(* -1/216 x) |
(* -1/216 x) |
(* -1/216 x) |
(* -1/216 x) |
(* -1/216 x) |
(* -1/216 x) |
(* -1/216 x) |
(* -1/216 x) |
(* -1/216 x) |
(* -1/216 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 11/302400 (pow x 2)))) |
(* (pow x 2) (+ 1/720 (* (pow x 2) (+ 11/302400 (* -31/10886400 (pow x 2)))))) |
(* (pow x 2) (+ 1/720 (* (pow x 2) (+ 11/302400 (* (pow x 2) (- (* 13/152409600 (pow x 2)) 31/10886400)))))) |
(* 1/131681894400 (pow x 12)) |
(* (pow x 12) (- 1/131681894400 (* 1/914457600 (/ 1 (pow x 2))))) |
(* (pow x 12) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (* 1/914457600 (/ 1 (pow x 2))))) |
(* (pow x 12) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (+ (* 1/914457600 (/ 1 (pow x 2))) (* 31/10886400 (/ 1 (pow x 6)))))) |
(* 1/131681894400 (pow x 12)) |
(* (pow x 12) (- 1/131681894400 (* 1/914457600 (/ 1 (pow x 2))))) |
(* (pow x 12) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (* 1/914457600 (/ 1 (pow x 2))))) |
(* (pow x 12) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (+ (* 1/914457600 (/ 1 (pow x 2))) (* 31/10886400 (/ 1 (pow x 6)))))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* 1/120 x) |
(* x (+ 1/120 (* -1/5040 (pow x 2)))) |
(* x (+ 1/120 (* -1/5040 (pow x 2)))) |
(* x (+ 1/120 (* -1/5040 (pow x 2)))) |
(* -1/5040 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* -1/5040 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
| Outputs |
|---|
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (*.f64 x (*.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))))))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 x x) #s(literal 1/362880 binary64)))))))) |
(/ -27216/5 x) |
(/.f64 #s(literal -27216/5 binary64) x) |
(* -1 (/ (+ 27216/5 (* 707616 (/ 1 (pow x 2)))) x)) |
(/.f64 (+.f64 #s(literal -27216/5 binary64) (/.f64 #s(literal -707616 binary64) (*.f64 x x))) x) |
(/ (- (* -1 (/ (+ 707616 (* 203793408/5 (/ 1 (pow x 2)))) (pow x 2))) 27216/5) x) |
(/.f64 (+.f64 #s(literal -27216/5 binary64) (/.f64 (+.f64 #s(literal -707616 binary64) (/.f64 #s(literal -203793408/5 binary64) (*.f64 x x))) (*.f64 x x))) x) |
(/ (- (* 188116992/5 (/ 1 (pow x 6))) (+ 27216/5 (+ (* 707616 (/ 1 (pow x 2))) (/ 203793408/5 (pow x 4))))) x) |
(+.f64 (/.f64 (+.f64 (+.f64 #s(literal -27216/5 binary64) (/.f64 #s(literal -707616 binary64) (*.f64 x x))) (/.f64 #s(literal -203793408/5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x) (/.f64 #s(literal 188116992/5 binary64) (pow.f64 x #s(literal 7 binary64)))) |
(/ -27216/5 x) |
(/.f64 #s(literal -27216/5 binary64) x) |
(* -1 (/ (+ 27216/5 (* 707616 (/ 1 (pow x 2)))) x)) |
(/.f64 (+.f64 #s(literal -27216/5 binary64) (/.f64 #s(literal -707616 binary64) (*.f64 x x))) x) |
(* -1 (/ (+ 27216/5 (+ (* 707616 (/ 1 (pow x 2))) (/ 203793408/5 (pow x 4)))) x)) |
(/.f64 (+.f64 (+.f64 #s(literal -27216/5 binary64) (/.f64 #s(literal -707616 binary64) (*.f64 x x))) (/.f64 #s(literal -203793408/5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x) |
(* -1 (/ (- (+ 27216/5 (+ (* 707616 (/ 1 (pow x 2))) (/ 203793408/5 (pow x 4)))) (* 188116992/5 (/ 1 (pow x 6)))) x)) |
(+.f64 (/.f64 (+.f64 (+.f64 #s(literal -27216/5 binary64) (/.f64 #s(literal -707616 binary64) (*.f64 x x))) (/.f64 #s(literal -203793408/5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x) (/.f64 #s(literal 188116992/5 binary64) (pow.f64 x #s(literal 7 binary64)))) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.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))))))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 x x) #s(literal 1/362880 binary64)))))))) |
(/ -27216/5 (pow x 2)) |
(/.f64 #s(literal -27216/5 binary64) (*.f64 x x)) |
(* -1 (/ (+ 27216/5 (* 707616 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (/.f64 (+.f64 #s(literal -27216/5 binary64) (/.f64 #s(literal -707616 binary64) (*.f64 x x))) x) x) |
(/ (- (* -1 (/ (+ 707616 (* 203793408/5 (/ 1 (pow x 2)))) (pow x 2))) 27216/5) (pow x 2)) |
(/.f64 (+.f64 #s(literal -27216/5 binary64) (/.f64 (+.f64 #s(literal -707616 binary64) (/.f64 #s(literal -203793408/5 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* 188116992/5 (/ 1 (pow x 6))) (+ 27216/5 (+ (* 707616 (/ 1 (pow x 2))) (/ 203793408/5 (pow x 4))))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 (+.f64 (+.f64 #s(literal -27216/5 binary64) (/.f64 #s(literal -707616 binary64) (*.f64 x x))) (/.f64 #s(literal -203793408/5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x) (/.f64 #s(literal 188116992/5 binary64) (pow.f64 x #s(literal 7 binary64)))) x) |
(/ -27216/5 (pow x 2)) |
(/.f64 #s(literal -27216/5 binary64) (*.f64 x x)) |
(* -1 (/ (+ 27216/5 (* 707616 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (/.f64 (+.f64 #s(literal -27216/5 binary64) (/.f64 #s(literal -707616 binary64) (*.f64 x x))) x) x) |
(/ (- (* -1 (/ (+ 707616 (* 203793408/5 (/ 1 (pow x 2)))) (pow x 2))) 27216/5) (pow x 2)) |
(/.f64 (+.f64 #s(literal -27216/5 binary64) (/.f64 (+.f64 #s(literal -707616 binary64) (/.f64 #s(literal -203793408/5 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* 188116992/5 (/ 1 (pow x 6))) (+ 27216/5 (+ (* 707616 (/ 1 (pow x 2))) (/ 203793408/5 (pow x 4))))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 (+.f64 (+.f64 #s(literal -27216/5 binary64) (/.f64 #s(literal -707616 binary64) (*.f64 x x))) (/.f64 #s(literal -203793408/5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x) (/.f64 #s(literal 188116992/5 binary64) (pow.f64 x #s(literal 7 binary64)))) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 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))))))) |
(* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 x x) #s(literal 1/362880 binary64)))))))) |
(/ -27216/5 (pow x 3)) |
(/.f64 #s(literal -27216/5 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 27216/5 (* 707616 (/ 1 (pow x 2)))) (pow x 3))) |
(/.f64 (/.f64 (+.f64 #s(literal -27216/5 binary64) (/.f64 #s(literal -707616 binary64) (*.f64 x x))) x) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 707616 (* 203793408/5 (/ 1 (pow x 2)))) (pow x 2))) 27216/5) (pow x 3)) |
(/.f64 (+.f64 #s(literal -27216/5 binary64) (/.f64 (+.f64 #s(literal -707616 binary64) (/.f64 #s(literal -203793408/5 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (- (* 188116992/5 (/ 1 (pow x 6))) (+ 27216/5 (+ (* 707616 (/ 1 (pow x 2))) (/ 203793408/5 (pow x 4))))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 (+.f64 (+.f64 #s(literal -27216/5 binary64) (/.f64 #s(literal -707616 binary64) (*.f64 x x))) (/.f64 #s(literal -203793408/5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x) (/.f64 #s(literal 188116992/5 binary64) (pow.f64 x #s(literal 7 binary64)))) (*.f64 x x)) |
(/ -27216/5 (pow x 3)) |
(/.f64 #s(literal -27216/5 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 27216/5 (* 707616 (/ 1 (pow x 2)))) (pow x 3))) |
(/.f64 (/.f64 (+.f64 #s(literal -27216/5 binary64) (/.f64 #s(literal -707616 binary64) (*.f64 x x))) x) (*.f64 x x)) |
(* -1 (/ (+ 27216/5 (+ (* 707616 (/ 1 (pow x 2))) (/ 203793408/5 (pow x 4)))) (pow x 3))) |
(/.f64 (+.f64 (+.f64 #s(literal -27216/5 binary64) (/.f64 #s(literal -707616 binary64) (*.f64 x x))) (/.f64 #s(literal -203793408/5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (+ 27216/5 (+ (* 707616 (/ 1 (pow x 2))) (/ 203793408/5 (pow x 4)))) (* 188116992/5 (/ 1 (pow x 6)))) (pow x 3))) |
(/.f64 (+.f64 (/.f64 (+.f64 (+.f64 #s(literal -27216/5 binary64) (/.f64 #s(literal -707616 binary64) (*.f64 x x))) (/.f64 #s(literal -203793408/5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x) (/.f64 #s(literal 188116992/5 binary64) (pow.f64 x #s(literal 7 binary64)))) (*.f64 x x)) |
(* -1/216 x) |
(*.f64 x #s(literal -1/216 binary64)) |
(* x (- (* 1/1728000 (pow x 6)) 1/216)) |
(+.f64 (*.f64 x #s(literal -1/216 binary64)) (*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 7 binary64)))) |
(* x (- (* (pow x 6) (+ 1/1728000 (* -1/24192000 (pow x 2)))) 1/216)) |
(+.f64 (*.f64 x #s(literal -1/216 binary64)) (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x x) #s(literal -1/24192000 binary64))) (pow.f64 x #s(literal 7 binary64)))) |
(* x (- (* (pow x 6) (+ 1/1728000 (* -1/24192000 (pow x 2)))) 1/216)) |
(+.f64 (*.f64 x #s(literal -1/216 binary64)) (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x x) #s(literal -1/24192000 binary64))) (pow.f64 x #s(literal 7 binary64)))) |
(* -1/24192000 (pow x 9)) |
(*.f64 #s(literal -1/24192000 binary64) (pow.f64 x #s(literal 9 binary64))) |
(* (pow x 9) (- (* 1/1728000 (/ 1 (pow x 2))) 1/24192000)) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal -1/24192000 binary64) (/.f64 #s(literal 1/1728000 binary64) (*.f64 x x)))) |
(* (pow x 9) (- (* 1/1728000 (/ 1 (pow x 2))) (+ 1/24192000 (/ 1/216 (pow x 8))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal -1/24192000 binary64) (/.f64 #s(literal 1/1728000 binary64) (*.f64 x x))) (/.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 8 binary64))))) |
(* (pow x 9) (- (* 1/1728000 (/ 1 (pow x 2))) (+ 1/24192000 (/ 1/216 (pow x 8))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal -1/24192000 binary64) (/.f64 #s(literal 1/1728000 binary64) (*.f64 x x))) (/.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 8 binary64))))) |
(* -1/24192000 (pow x 9)) |
(*.f64 #s(literal -1/24192000 binary64) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (* (pow x 9) (- 1/24192000 (* 1/1728000 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal -1/24192000 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/1728000 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 9) (- (+ 1/24192000 (/ 1/216 (pow x 8))) (* 1/1728000 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal -1/24192000 binary64) (/.f64 #s(literal 1/1728000 binary64) (*.f64 x x))) (/.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 8 binary64))))) |
(* -1 (* (pow x 9) (- (+ 1/24192000 (/ 1/216 (pow x 8))) (* 1/1728000 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal -1/24192000 binary64) (/.f64 #s(literal 1/1728000 binary64) (*.f64 x x))) (/.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 8 binary64))))) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))))) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))))) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))))) |
(* 1/120 (pow x 5)) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* 1/120 (pow x 5)) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/120 (pow x 2)) 1/6) |
(+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) |
(- (* 1/120 (pow x 2)) 1/6) |
(+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) |
(- (* 1/120 (pow x 2)) 1/6) |
(+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) |
(* 1/120 (pow x 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
(* 1/120 (pow x 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
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(/.f64 (+.f64 #s(literal -609638400 binary64) (/.f64 #s(literal -87787929600 binary64) (*.f64 x x))) (pow.f64 x #s(literal 11 binary64))) |
(/ (- (* -1 (/ (+ 87787929600 (* 5794003353600 (/ 1 (pow x 2)))) (pow x 2))) 609638400) (pow x 11)) |
(/.f64 (+.f64 #s(literal -609638400 binary64) (/.f64 (+.f64 #s(literal -87787929600 binary64) (/.f64 #s(literal -5794003353600 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 11 binary64))) |
(/ (- (* -1 (/ (+ 5794003353600 (* 76902226329600 (/ 1 (pow x 2)))) (pow x 4))) (+ 609638400 (* 87787929600 (/ 1 (pow x 2))))) (pow x 11)) |
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -5794003353600 binary64) (/.f64 #s(literal -76902226329600 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -609638400 binary64) (/.f64 #s(literal -87787929600 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 11 binary64))) |
(/ -609638400 (pow x 11)) |
(/.f64 #s(literal -609638400 binary64) (pow.f64 x #s(literal 11 binary64))) |
(* -1 (/ (+ 609638400 (* 87787929600 (/ 1 (pow x 2)))) (pow x 11))) |
(/.f64 (+.f64 #s(literal -609638400 binary64) (/.f64 #s(literal -87787929600 binary64) (*.f64 x x))) (pow.f64 x #s(literal 11 binary64))) |
(* -1 (/ (+ 609638400 (+ (* 87787929600 (/ 1 (pow x 2))) (/ 5794003353600 (pow x 4)))) (pow x 11))) |
(/.f64 (+.f64 (+.f64 #s(literal -609638400 binary64) (/.f64 #s(literal -87787929600 binary64) (*.f64 x x))) (/.f64 #s(literal -5794003353600 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 11 binary64))) |
(* -1 (/ (+ 609638400 (+ (* 87787929600 (/ 1 (pow x 2))) (+ (* 76902226329600 (/ 1 (pow x 6))) (/ 5794003353600 (pow x 4))))) (pow x 11))) |
(/.f64 (-.f64 (+.f64 #s(literal -609638400 binary64) (/.f64 #s(literal -87787929600 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 5794003353600 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 76902226329600 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 11 binary64))) |
(* -1/216 x) |
(*.f64 x #s(literal -1/216 binary64)) |
(* -1/216 x) |
(*.f64 x #s(literal -1/216 binary64)) |
(* -1/216 x) |
(*.f64 x #s(literal -1/216 binary64)) |
(* -1/216 x) |
(*.f64 x #s(literal -1/216 binary64)) |
(* -1/216 x) |
(*.f64 x #s(literal -1/216 binary64)) |
(* -1/216 x) |
(*.f64 x #s(literal -1/216 binary64)) |
(* -1/216 x) |
(*.f64 x #s(literal -1/216 binary64)) |
(* -1/216 x) |
(*.f64 x #s(literal -1/216 binary64)) |
(* -1/216 x) |
(*.f64 x #s(literal -1/216 binary64)) |
(* -1/216 x) |
(*.f64 x #s(literal -1/216 binary64)) |
(* -1/216 x) |
(*.f64 x #s(literal -1/216 binary64)) |
(* -1/216 x) |
(*.f64 x #s(literal -1/216 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* (pow x 2) (+ 1/720 (* 11/302400 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal 11/302400 binary64))))) |
(* (pow x 2) (+ 1/720 (* (pow x 2) (+ 11/302400 (* -31/10886400 (pow x 2)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 11/302400 binary64) (*.f64 (*.f64 x x) #s(literal -31/10886400 binary64))))))) |
(* (pow x 2) (+ 1/720 (* (pow x 2) (+ 11/302400 (* (pow x 2) (- (* 13/152409600 (pow x 2)) 31/10886400)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 11/302400 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -31/10886400 binary64) (*.f64 (*.f64 x x) #s(literal 13/152409600 binary64)))))))))) |
(* 1/131681894400 (pow x 12)) |
(*.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 12 binary64))) |
(* (pow x 12) (- 1/131681894400 (* 1/914457600 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1/131681894400 binary64) (/.f64 #s(literal -1/914457600 binary64) (*.f64 x x)))) |
(* (pow x 12) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (* 1/914457600 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1/131681894400 binary64) (+.f64 (/.f64 #s(literal 13/152409600 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/914457600 binary64) (*.f64 x x))))) |
(* (pow x 12) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (+ (* 1/914457600 (/ 1 (pow x 2))) (* 31/10886400 (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1/131681894400 binary64) (+.f64 (/.f64 #s(literal 13/152409600 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1/914457600 binary64) (*.f64 x x)) (/.f64 #s(literal -31/10886400 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
(* 1/131681894400 (pow x 12)) |
(*.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 12 binary64))) |
(* (pow x 12) (- 1/131681894400 (* 1/914457600 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1/131681894400 binary64) (/.f64 #s(literal -1/914457600 binary64) (*.f64 x x)))) |
(* (pow x 12) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (* 1/914457600 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1/131681894400 binary64) (+.f64 (/.f64 #s(literal 13/152409600 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/914457600 binary64) (*.f64 x x))))) |
(* (pow x 12) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (+ (* 1/914457600 (/ 1 (pow x 2))) (* 31/10886400 (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1/131681894400 binary64) (+.f64 (/.f64 #s(literal 13/152409600 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1/914457600 binary64) (*.f64 x x)) (/.f64 #s(literal -31/10886400 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* x (+ 1/120 (* -1/5040 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))) |
(* x (+ 1/120 (* -1/5040 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))) |
(* x (+ 1/120 (* -1/5040 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))) |
(* -1/5040 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))) |
(* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* -1/5040 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))) |
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))))) |
Compiled 45797 to 2348 computations (94.9% saved)
26 alts after pruning (19 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 911 | 8 | 919 |
| Fresh | 3 | 11 | 14 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 917 | 26 | 943 |
| Status | Accuracy | Program |
|---|---|---|
| 20.3% | (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x))))) | |
| 2.0% | (/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 12 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 8 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (+.f64 x (sin.f64 x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x x)))) | |
| ✓ | 4.4% | (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 x (sin.f64 x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x x)))) |
| 99.0% | (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (*.f64 x x))) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) | |
| 99.2% | (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/216 binary64))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) #s(literal 1/6 binary64))))) | |
| 99.3% | (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) #s(literal -1/6 binary64))))) | |
| 65.4% | (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) x) | |
| ✓ | 66.1% | (-.f64 (sin.f64 x) x) |
| 99.4% | (*.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) #s(literal 1/6 binary64)))) (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 x (*.f64 x #s(literal -1/24192000 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))))) x) | |
| ✓ | 99.1% | (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))) |
| 38.1% | (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) | |
| 99.4% | (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) x) | |
| 99.3% | (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))))))) x) | |
| 98.9% | (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) | |
| 99.3% | (*.f64 (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))))) (*.f64 x x)) | |
| 49.8% | (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))) (*.f64 x (*.f64 x x))) | |
| ✓ | 98.9% | (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
| ✓ | 99.3% | (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))) (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
| 99.3% | (*.f64 x (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)))))) | |
| 99.4% | (*.f64 x (*.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal -1/14400 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/302400 binary64) (*.f64 (*.f64 x x) #s(literal -13/152409600 binary64))))) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))))) | |
| 99.1% | (*.f64 x (*.f64 x (/.f64 (*.f64 x #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) | |
| 98.9% | (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) | |
| 46.1% | (*.f64 #s(literal -1/6 binary64) (*.f64 x (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64)) (*.f64 x x)))) | |
| ✓ | 98.9% | (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | 6.4% | (neg.f64 x) |
| 64.9% | #s(literal 0 binary64) |
Compiled 1774 to 574 computations (67.6% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 x x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) x) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))) |
(*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x (/.f64 (*.f64 x #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64)) (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(*.f64 x (*.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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))) |
(*.f64 (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))))) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))))) x) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))))))) x) |
(*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))) (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) x) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64)))) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (*.f64 x x))) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) #s(literal -1/6 binary64))))) |
(*.f64 x (*.f64 x (/.f64 (*.f64 x #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64))))))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/216 binary64))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) #s(literal 1/6 binary64))))) |
(*.f64 x (*.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal -1/14400 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/302400 binary64) (*.f64 (*.f64 x x) #s(literal -13/152409600 binary64))))) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))))) |
(*.f64 x (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) x) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)))))) x) (-.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)))))) |
(*.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) #s(literal 1/6 binary64)))) (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 x (*.f64 x #s(literal -1/24192000 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))))) x) |
(*.f64 x (*.f64 x (/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))))))))))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64))))))) |
(-.f64 (sin.f64 x) x) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(*.f64 x (*.f64 x (/.f64 (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/1728000 binary64) (*.f64 x (*.f64 x #s(literal -1/24192000 binary64))))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64))))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/362880 binary64) (+.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 x (sin.f64 x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x x)))) |
(fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 12 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 8 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (+.f64 x (sin.f64 x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) #s(literal 1/6 binary64)))) (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 x (*.f64 x #s(literal -1/24192000 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))))) x) |
2 calls:
| 13.0ms | x |
| 9.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
| 99.4% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 7 to 4 computations (42.9% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 x x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) x) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))) |
(*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x (/.f64 (*.f64 x #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64)) (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(*.f64 x (*.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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))) |
(*.f64 (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))))) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))))) x) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))))))) x) |
(*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))) (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) x) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64)))) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (*.f64 x x))) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) #s(literal -1/6 binary64))))) |
(*.f64 x (*.f64 x (/.f64 (*.f64 x #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64))))))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/216 binary64))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) #s(literal 1/6 binary64))))) |
(*.f64 x (*.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal -1/14400 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/302400 binary64) (*.f64 (*.f64 x x) #s(literal -13/152409600 binary64))))) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))))) |
(*.f64 x (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) x) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)))))) x) (-.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)))))) |
| Outputs |
|---|
(*.f64 x (*.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal -1/14400 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/302400 binary64) (*.f64 (*.f64 x x) #s(literal -13/152409600 binary64))))) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))))) |
1 calls:
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 x x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) x) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))) |
(*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x (/.f64 (*.f64 x #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64)) (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(*.f64 x (*.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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))) |
(*.f64 (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))))) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))))) x) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))))))) x) |
(*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))) (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) x) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64)))) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (*.f64 x x))) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))) (*.f64 x x)) #s(literal -1/6 binary64))))) |
(*.f64 x (*.f64 x (/.f64 (*.f64 x #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64))))))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/216 binary64))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) #s(literal 1/6 binary64))))) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) x) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 x x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) x) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))) |
(*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x (/.f64 (*.f64 x #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64)) (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(*.f64 x (*.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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))) |
(*.f64 (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))))) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))))) x) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))))))) x) |
(*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))) (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) |
| Outputs |
|---|
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 x x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) x) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))) |
(*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x (/.f64 (*.f64 x #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64)) (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(*.f64 x (*.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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))) |
(*.f64 (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))))) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))))) x) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))))))) x) |
(*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))) (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))) (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 x x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) x) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))) |
(*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x (/.f64 (*.f64 x #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64)) (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(*.f64 x (*.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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))) |
(*.f64 (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))))) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))))) x) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))))))) x) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))))) x) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 x x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) x) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))) |
(*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x (/.f64 (*.f64 x #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64)) (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(*.f64 x (*.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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))) |
(*.f64 (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))))) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 x x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) x) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))) |
(*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x (/.f64 (*.f64 x #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64)) (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(*.f64 x (*.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)))))))) |
| Outputs |
|---|
(*.f64 x (*.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)))))))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 x x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) x) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))) |
(*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x (/.f64 (*.f64 x #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64)) (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 x (*.f64 x (/.f64 (*.f64 x #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 x x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) x) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))) |
(*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))) |
| Outputs |
|---|
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 x x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) x) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 x x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
| Outputs |
|---|
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 1 | x |
Compiled 2 to 1 computations (50% saved)
Total -38.0b remaining (-169.1%)
Threshold costs -38b (-169.1%)
| Inputs |
|---|
#s(literal 0 binary64) |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 x x) |
| Outputs |
|---|
#s(literal 0 binary64) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.9% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | egg-herbie |
| 132× | *-commutative_binary64 |
| 68× | +-commutative_binary64 |
| 26× | sub-neg_binary64 |
| 24× | neg-sub0_binary64 |
| 24× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 289 |
| 1 | 181 | 289 |
| 2 | 192 | 289 |
| 3 | 203 | 289 |
| 4 | 213 | 289 |
| 5 | 227 | 289 |
| 6 | 239 | 289 |
| 7 | 249 | 289 |
| 8 | 263 | 289 |
| 9 | 275 | 289 |
| 10 | 281 | 289 |
| 11 | 284 | 289 |
| 12 | 285 | 289 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) #s(literal 1/6 binary64)))) (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 x (*.f64 x #s(literal -1/24192000 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))))) x) |
(*.f64 x (*.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal -1/14400 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/302400 binary64) (*.f64 (*.f64 x x) #s(literal -13/152409600 binary64))))) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))))) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) x) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) |
(*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))) (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))))) x) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))) |
(*.f64 x (*.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 x (*.f64 x (/.f64 (*.f64 x #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
#s(literal 0 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) #s(literal 1/6 binary64)))) (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 x (*.f64 x #s(literal -1/24192000 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))))) x) |
(*.f64 x (/.f64 x (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x))))) #s(literal 1/6 binary64)))) (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 x (*.f64 x #s(literal -1/24192000 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))))) |
(*.f64 x (*.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal -1/14400 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/302400 binary64) (*.f64 (*.f64 x x) #s(literal -13/152409600 binary64))))) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))))) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) x) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))))))))))) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/362880 binary64)))) (*.f64 x x)))))))) |
(*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))) (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(*.f64 x (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)))))) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))))) x) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)))))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))))) |
(*.f64 x (*.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 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)))))))) |
(*.f64 x (*.f64 x (/.f64 (*.f64 x #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) |
#s(literal 0 binary64) |
| 4282× | *-lowering-*.f32 |
| 4282× | *-lowering-*.f64 |
| 3970× | *-lowering-*.f32 |
| 3970× | *-lowering-*.f64 |
| 3786× | *-lowering-*.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 255 | 2403 |
| 1 | 690 | 2353 |
| 2 | 2005 | 2307 |
| 3 | 6046 | 2296 |
| 0 | 8156 | 2296 |
| 0 | 241 | 2442 |
| 1 | 667 | 2376 |
| 2 | 2017 | 2338 |
| 3 | 6545 | 2335 |
| 0 | 8312 | 2335 |
| 0 | 40 | 211 |
| 1 | 248 | 186 |
| 2 | 2371 | 186 |
| 0 | 8402 | 186 |
| 0 | 47 | 164 |
| 1 | 129 | 155 |
| 2 | 366 | 152 |
| 3 | 1190 | 140 |
| 4 | 3154 | 128 |
| 5 | 6356 | 128 |
| 0 | 8359 | 128 |
| 0 | 49 | 463 |
| 1 | 294 | 404 |
| 2 | 2525 | 402 |
| 0 | 9307 | 402 |
| 0 | 233 | 2104 |
| 1 | 695 | 2011 |
| 2 | 2254 | 1954 |
| 0 | 8525 | 1954 |
| 0 | 42 | 512 |
| 1 | 262 | 395 |
| 2 | 2279 | 390 |
| 0 | 9671 | 390 |
| 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 595 to 269 computations (54.8% saved)
(negabs x)
Compiled 2006 to 854 computations (57.4% saved)
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