
Time bar (total: 12.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 0 |
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 1 |
| 50% | 12.5% | 12.5% | 75% | 0% | 0% | 0% | 2 |
| 50% | 12.5% | 12.5% | 75% | 0% | 0% | 0% | 3 |
| 75% | 18.7% | 6.2% | 75% | 0% | 0% | 0% | 4 |
| 87.5% | 21.8% | 3.1% | 75% | 0% | 0% | 0% | 5 |
| 93.8% | 23.4% | 1.6% | 75% | 0% | 0% | 0% | 6 |
| 93.8% | 23.4% | 1.6% | 75% | 0% | 0% | 0% | 7 |
| 96.9% | 24.2% | 0.8% | 75% | 0% | 0% | 0% | 8 |
| 96.9% | 24.2% | 0.8% | 75% | 0% | 0% | 0% | 9 |
| 98.4% | 24.6% | 0.4% | 75% | 0% | 0% | 0% | 10 |
| 98.4% | 24.6% | 0.4% | 75% | 0% | 0% | 0% | 11 |
| 99.2% | 24.8% | 0.2% | 75% | 0% | 0% | 0% | 12 |
Compiled 19 to 14 computations (26.3% saved)
| 904.0ms | 8 256× | 0 | valid |
ival-sin: 225.0ms (32% of total)ival-cos: 205.0ms (29.1% of total)ival-mult: 110.0ms (15.6% of total)ival-div: 51.0ms (7.2% of total)ival-add: 45.0ms (6.4% of total)ival-<=: 42.0ms (6% of total)ival-and: 12.0ms (1.7% of total)exact: 11.0ms (1.6% of total)ival-assert: 3.0ms (0.4% of total)| 2× | egg-herbie |
| 524× | times-frac |
| 318× | distribute-lft-neg-in |
| 308× | distribute-rgt-in |
| 302× | associate-*r* |
| 292× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 72 |
| 1 | 72 | 68 |
| 2 | 159 | 66 |
| 3 | 404 | 66 |
| 4 | 1003 | 66 |
| 5 | 1550 | 66 |
| 6 | 1725 | 66 |
| 7 | 1874 | 66 |
| 8 | 2030 | 66 |
| 9 | 2442 | 66 |
| 10 | 2539 | 66 |
| 11 | 2600 | 66 |
| 12 | 2654 | 66 |
| 13 | 2659 | 66 |
| 0 | 9 | 11 |
| 1 | 16 | 11 |
| 2 | 19 | 11 |
| 3 | 20 | 11 |
| 0 | 20 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
| Outputs |
|---|
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Inputs |
|---|
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* (neg e) (sin v)) (+ 1 (* (neg e) (cos v)))) |
(/ (* e (sin (neg v))) (+ 1 (* e (cos (neg v))))) |
(neg (/ (* (neg e) (sin v)) (+ 1 (* (neg e) (cos v))))) |
(neg (/ (* e (sin (neg v))) (+ 1 (* e (cos (neg v)))))) |
(/ (* v (sin e)) (+ 1 (* v (cos e)))) |
| Outputs |
|---|
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(* e (/ (sin v) (+ 1 (* e (cos v))))) |
(/ (* (neg e) (sin v)) (+ 1 (* (neg e) (cos v)))) |
(/ (* e (sin v)) (+ (* e (cos v)) -1)) |
(/ (* e (sin (neg v))) (+ 1 (* e (cos (neg v))))) |
(* e (/ (sin v) (- -1 (* e (cos v))))) |
(neg (/ (* (neg e) (sin v)) (+ 1 (* (neg e) (cos v))))) |
(/ (* e (sin v)) (- 1 (* e (cos v)))) |
(neg (/ (* e (sin (neg v))) (+ 1 (* e (cos (neg v)))))) |
(* e (/ (sin v) (+ 1 (* e (cos v))))) |
(/ (* v (sin e)) (+ 1 (* v (cos e)))) |
(negabs v)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | e |
| 0 | 0 | - | 0 | - | (*.f64 e (cos.f64 v)) |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 0 | 0 | - | 0 | - | v |
| 0 | 0 | - | 0 | - | (sin.f64 v) |
| 0 | 0 | - | 0 | - | (*.f64 e (sin.f64 v)) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
| 0 | 0 | - | 0 | - | (cos.f64 v) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 59.0ms | 512× | 0 | valid |
Compiled 94 to 40 computations (57.4% saved)
ival-sin: 13.0ms (30.7% of total)ival-mult: 12.0ms (28.3% of total)ival-cos: 10.0ms (23.6% of total)ival-div: 3.0ms (7.1% of total)ival-add: 3.0ms (7.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 13 to 9 computations (30.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
| ✓ | cost-diff | 0 | (sin.f64 v) |
| ✓ | cost-diff | 0 | (*.f64 e (sin.f64 v)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 16× | *-lowering-*.f32 |
| 16× | *-lowering-*.f64 |
| 8× | *-commutative |
| 6× | /-lowering-/.f32 |
| 6× | /-lowering-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 32 |
| 1 | 16 | 32 |
| 2 | 19 | 32 |
| 3 | 20 | 32 |
| 0 | 20 | 30 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(* e (sin v)) |
e |
(sin v) |
v |
(+ 1 (* e (cos v))) |
1 |
(* e (cos v)) |
(cos v) |
| Outputs |
|---|
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
e |
(sin v) |
(sin.f64 v) |
v |
(+ 1 (* e (cos v))) |
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
1 |
#s(literal 1 binary64) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(cos v) |
(cos.f64 v) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 v) |
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| ✓ | accuracy | 99.9% | (*.f64 e (sin.f64 v)) |
| ✓ | accuracy | 99.8% | (*.f64 e (cos.f64 v)) |
| 26.0ms | 256× | 0 | valid |
Compiled 34 to 11 computations (67.6% saved)
ival-cos: 6.0ms (32.7% of total)ival-sin: 6.0ms (32.7% of total)ival-mult: 3.0ms (16.3% of total)ival-div: 2.0ms (10.9% of total)ival-add: 1.0ms (5.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (* e (sin v))> |
#<alt (sin v)> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (* e (cos v))> |
#<alt (cos v)> |
| Outputs |
|---|
#<alt (* e (sin v))> |
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))> |
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))> |
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))> |
#<alt (/ (sin v) (cos v))> |
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))> |
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))> |
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))> |
#<alt (/ (sin v) (cos v))> |
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))> |
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))> |
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e v)> |
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))> |
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))> |
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt v> |
#<alt (* v (+ 1 (* -1/6 (pow v 2))))> |
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))> |
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt 1> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (* e (cos v))> |
#<alt (* e (+ (cos v) (/ 1 e)))> |
#<alt (* e (+ (cos v) (/ 1 e)))> |
#<alt (* e (+ (cos v) (/ 1 e)))> |
#<alt (* e (cos v))> |
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))> |
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))> |
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))> |
#<alt (+ 1 e)> |
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))> |
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))> |
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt e> |
#<alt (+ e (* -1/2 (* e (pow v 2))))> |
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))> |
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow v 2)))> |
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))> |
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))> |
#<alt (cos v)> |
#<alt (cos v)> |
#<alt (cos v)> |
#<alt (cos v)> |
#<alt (cos v)> |
#<alt (cos v)> |
#<alt (cos v)> |
#<alt (cos v)> |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | v | @ | -inf | (/ (* e (sin v)) (+ 1 (* e (cos v)))) |
| 1.0ms | v | @ | 0 | (/ (* e (sin v)) (+ 1 (* e (cos v)))) |
| 1.0ms | v | @ | inf | (/ (* e (sin v)) (+ 1 (* e (cos v)))) |
| 1.0ms | e | @ | 0 | (* e (sin v)) |
| 1.0ms | e | @ | inf | (/ (* e (sin v)) (+ 1 (* e (cos v)))) |
| 1× | batch-egg-rewrite |
| 5 798× | accelerator-lowering-fma.f32 |
| 5 798× | accelerator-lowering-fma.f64 |
| 4 350× | /-lowering-/.f32 |
| 4 350× | /-lowering-/.f64 |
| 3 988× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 29 |
| 1 | 36 | 29 |
| 2 | 235 | 29 |
| 3 | 2095 | 29 |
| 0 | 8375 | 27 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(* e (sin v)) |
(sin v) |
(+ 1 (* e (cos v))) |
(* e (cos v)) |
(cos v) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))) |
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (-.f64 #s(literal 0 binary64) (*.f64 e (cos.f64 v))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (cos.f64 v))) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)) (/.f64 (/.f64 (*.f64 e (cos.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))) |
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)) (/.f64 (/.f64 (*.f64 e (cos.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))) |
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(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) |
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (cos.f64 v))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64))) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))) |
(exp.f64 (log.f64 (*.f64 e (cos.f64 v)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 e (cos.f64 v))) #s(literal 1 binary64))) |
(pow.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) |
(*.f64 e (cos.f64 v)) |
(*.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
(*.f64 (cos.f64 v) e) |
(*.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 e #s(literal 1 binary64)) (pow.f64 (cos.f64 v) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cos.f64 v) #s(literal 1 binary64)) (pow.f64 e #s(literal 1 binary64))) |
(*.f64 (exp.f64 (log.f64 (cos.f64 v))) (exp.f64 (log.f64 e))) |
(*.f64 (exp.f64 (log.f64 e)) (exp.f64 (log.f64 (cos.f64 v)))) |
(cos.f64 v) |
(*.f64 #s(literal 1 binary64) (cos.f64 v)) |
(*.f64 (cos.f64 v) #s(literal 1 binary64)) |
| 1× | egg-herbie |
| 17 764× | accelerator-lowering-fma.f32 |
| 17 764× | accelerator-lowering-fma.f64 |
| 5 642× | *-lowering-*.f32 |
| 5 642× | *-lowering-*.f64 |
| 4 928× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 195 | 1209 |
| 1 | 584 | 1194 |
| 2 | 1653 | 1162 |
| 3 | 4890 | 1089 |
| 0 | 8531 | 1013 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e v) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
v |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
1 |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(* e (cos v)) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(* e (cos v)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(+ 1 e) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
e |
(+ e (* -1/2 (* e (pow v 2)))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
1 |
(+ 1 (* -1/2 (pow v 2))) |
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
(cos v) |
(cos v) |
(cos v) |
(cos v) |
(cos v) |
(cos v) |
(cos v) |
(cos v) |
| Outputs |
|---|
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(*.f64 e (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(*.f64 e (+.f64 (sin.f64 v) (*.f64 (*.f64 e (sin.f64 v)) (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(*.f64 e (+.f64 (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 e (*.f64 e (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))))) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(+.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v))) (*.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))))) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) e) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) |
(/ (* e v) (+ 1 e)) |
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64))) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64)))))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 e #s(literal 1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 binary64))))))))))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 e #s(literal 1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 binary64)))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 e #s(literal 1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 binary64))))))) (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) #s(literal 1/24 binary64)))))))))))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e v) |
(*.f64 e v) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v #s(literal 1/120 binary64))))))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) |
(*.f64 v (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 (*.f64 e (*.f64 v v)) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))))) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
v |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))) |
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) |
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v #s(literal 1/120 binary64)))))))) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) |
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))))))))) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
1 |
#s(literal 1 binary64) |
(+ 1 (* e (cos v))) |
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
(+ 1 (* e (cos v))) |
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
(+ 1 (* e (cos v))) |
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (+ (cos v) (/ 1 e))) |
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
(* e (+ (cos v) (/ 1 e))) |
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
(* e (+ (cos v) (/ 1 e))) |
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
(+ 1 e) |
(+.f64 e #s(literal 1 binary64)) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/2 binary64))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 v v) #s(literal 1/24 binary64)))))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
(+.f64 #s(literal 1 binary64) (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (*.f64 e (*.f64 v v)) (+.f64 #s(literal 1/24 binary64) (*.f64 v (*.f64 v #s(literal -1/720 binary64))))))))) |
(+ 1 (* e (cos v))) |
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
(+ 1 (* e (cos v))) |
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
(+ 1 (* e (cos v))) |
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
(+ 1 (* e (cos v))) |
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
(+ 1 (* e (cos v))) |
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
(+ 1 (* e (cos v))) |
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
(+ 1 (* e (cos v))) |
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
(+ 1 (* e (cos v))) |
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
e |
(+ e (* -1/2 (* e (pow v 2)))) |
(*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/2 binary64)))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) |
(*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 v v) #s(literal 1/24 binary64))))))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))) |
(+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (*.f64 e (*.f64 v v)) (+.f64 #s(literal 1/24 binary64) (*.f64 v (*.f64 v #s(literal -1/720 binary64)))))))) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow v 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/2 binary64))) |
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 v v) #s(literal 1/24 binary64)))))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/24 binary64) (*.f64 v (*.f64 v #s(literal -1/720 binary64)))))))) |
(cos v) |
(cos.f64 v) |
(cos v) |
(cos.f64 v) |
(cos v) |
(cos.f64 v) |
(cos v) |
(cos.f64 v) |
(cos v) |
(cos.f64 v) |
(cos v) |
(cos.f64 v) |
(cos v) |
(cos.f64 v) |
(cos v) |
(cos.f64 v) |
Compiled 14 092 to 1 288 computations (90.9% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 456 | 11 | 467 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 457 | 11 | 468 |
| Status | Accuracy | Program |
|---|---|---|
| 72.7% | (pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 15.5% | (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 e (-.f64 #s(literal 0 binary64) (sin.f64 v))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 e (-.f64 #s(literal 0 binary64) (sin.f64 v))))))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) | |
| 98.7% | (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)) | |
| ▶ | 98.3% | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64))) |
| ▶ | 54.1% | (/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64))) |
| 99.7% | (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) | |
| ▶ | 99.7% | (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) |
| ▶ | 99.9% | (*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) e)) |
| ▶ | 53.6% | (*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 e #s(literal 1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 binary64))))))))))) |
| 53.8% | (*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64)))))) | |
| 98.2% | (*.f64 e (sin.f64 v)) |
Compiled 500 to 276 computations (44.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 e (cos.f64 v)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) |
| ✓ | cost-diff | 0 | (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) |
| ✓ | cost-diff | 0 | (+.f64 e #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (sin.f64 v) |
| ✓ | cost-diff | 0 | (*.f64 e (sin.f64 v)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 e #s(literal 1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 binary64)))))))))) |
| ✓ | cost-diff | 0 | (*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 e #s(literal 1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 binary64))))))))))) |
| ✓ | cost-diff | 384 | (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 e #s(literal 1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 binary64)))))))) |
| ✓ | cost-diff | 768 | (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 e #s(literal 1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 binary64)))))) |
| ✓ | cost-diff | 0 | (+.f64 e #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 e v) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) |
| ✓ | cost-diff | 0 | (sin.f64 v) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) e)) |
| 15 480× | accelerator-lowering-fma.f32 |
| 15 480× | accelerator-lowering-fma.f64 |
| 6 070× | *-lowering-*.f32 |
| 6 070× | *-lowering-*.f64 |
| 2 740× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 665 |
| 1 | 146 | 665 |
| 2 | 518 | 625 |
| 3 | 1864 | 613 |
| 4 | 5582 | 569 |
| 0 | 8056 | 524 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (sin v) (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (* (- 1 (* e (cos v))) e)) |
(/ (sin v) (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v))))))) |
(sin v) |
v |
(- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))) |
1 |
(* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v))))) |
(* e e) |
e |
(+ 1/2 (* 1/2 (cos (* 2 v)))) |
1/2 |
(* 1/2 (cos (* 2 v))) |
(cos (* 2 v)) |
(* 2 v) |
2 |
(* (- 1 (* e (cos v))) e) |
(- 1 (* e (cos v))) |
(* e (cos v)) |
(cos v) |
(/ (* e v) (+ e 1)) |
(* e v) |
e |
v |
(+ e 1) |
1 |
(* v (+ (/ e (+ e 1)) (* (* v v) (+ (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1)))))))))) |
v |
(+ (/ e (+ e 1)) (* (* v v) (+ (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1))))))))) |
(/ e (+ e 1)) |
e |
(+ e 1) |
1 |
(* (* v v) (+ (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1)))))))) |
(* v v) |
(+ (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1))))))) |
(* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) |
(+ (* 1/2 (/ e (+ e 1))) -1/6) |
(* 1/2 (/ e (+ e 1))) |
1/2 |
-1/6 |
(* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1)))))) |
(+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1))))) |
(/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) |
(* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) |
(* e 1/2) |
(* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1)))) |
(- 1/120 (/ (* e 1/24) (+ e 1))) |
1/120 |
(/ (* e 1/24) (+ e 1)) |
(* e 1/24) |
1/24 |
(/ (* e (sin v)) (+ e 1)) |
(* e (sin v)) |
e |
(sin v) |
v |
(+ e 1) |
1 |
(/ e (/ (+ 1 (* e (cos v))) (sin v))) |
e |
(/ (+ 1 (* e (cos v))) (sin v)) |
(+ 1 (* e (cos v))) |
1 |
(* e (cos v)) |
(cos v) |
v |
(sin v) |
| Outputs |
|---|
(* (/ (sin v) (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (* (- 1 (* e (cos v))) e)) |
(/.f64 (*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))) |
(/ (sin v) (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v))))))) |
(/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))) |
(sin v) |
(sin.f64 v) |
v |
(- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))) |
1 |
#s(literal 1 binary64) |
(* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v))))) |
(*.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))) |
(* e e) |
(*.f64 e e) |
e |
(+ 1/2 (* 1/2 (cos (* 2 v)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))) |
1/2 |
#s(literal 1/2 binary64) |
(* 1/2 (cos (* 2 v))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) |
(cos (* 2 v)) |
(cos.f64 (*.f64 v #s(literal 2 binary64))) |
(* 2 v) |
(*.f64 v #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(* (- 1 (* e (cos v))) e) |
(*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(- 1 (* e (cos v))) |
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(cos v) |
(cos.f64 v) |
(/ (* e v) (+ e 1)) |
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e)) |
(* e v) |
(*.f64 v e) |
e |
v |
(+ e 1) |
(+.f64 #s(literal 1 binary64) e) |
1 |
#s(literal 1 binary64) |
(* v (+ (/ e (+ e 1)) (* (* v v) (+ (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1)))))))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal -1/24 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))))))))))) |
v |
(+ (/ e (+ e 1)) (* (* v v) (+ (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1))))))))) |
(+.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal -1/24 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))))))))))) |
(/ e (+ e 1)) |
(/.f64 e (+.f64 #s(literal 1 binary64) e)) |
e |
(+ e 1) |
(+.f64 #s(literal 1 binary64) e) |
1 |
#s(literal 1 binary64) |
(* (* v v) (+ (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1)))))))) |
(*.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal -1/24 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))))))))) |
(* v v) |
(*.f64 v v) |
(+ (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1))))))) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal -1/24 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))))))))) |
(* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) |
(/.f64 (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) |
(+ (* 1/2 (/ e (+ e 1))) -1/6) |
(+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)) |
(* 1/2 (/ e (+ e 1))) |
(/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e)) |
1/2 |
#s(literal 1/2 binary64) |
-1/6 |
#s(literal -1/6 binary64) |
(* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1)))))) |
(*.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal -1/24 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))))) #s(literal 1/120 binary64)))) |
(+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1))))) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal -1/24 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))))) #s(literal 1/120 binary64))) |
(/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) |
(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)) (*.f64 e (*.f64 e #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) e)) |
(* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) |
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)) (*.f64 e (*.f64 e #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) e)) |
(* e 1/2) |
(*.f64 e #s(literal 1/2 binary64)) |
(* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1)))) |
(/.f64 (*.f64 e (+.f64 #s(literal 1/120 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/24 binary64)))) (+.f64 #s(literal 1 binary64) e)) |
(- 1/120 (/ (* e 1/24) (+ e 1))) |
(+.f64 #s(literal 1/120 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/24 binary64))) |
1/120 |
#s(literal 1/120 binary64) |
(/ (* e 1/24) (+ e 1)) |
(*.f64 e (/.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) e))) |
(* e 1/24) |
(*.f64 e #s(literal 1/24 binary64)) |
1/24 |
#s(literal 1/24 binary64) |
(/ (* e (sin v)) (+ e 1)) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) e)) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
e |
(sin v) |
(sin.f64 v) |
v |
(+ e 1) |
(+.f64 #s(literal 1 binary64) e) |
1 |
#s(literal 1 binary64) |
(/ e (/ (+ 1 (* e (cos v))) (sin v))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
e |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) |
(+ 1 (* e (cos v))) |
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
1 |
#s(literal 1 binary64) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(cos v) |
(cos.f64 v) |
v |
(sin v) |
(sin.f64 v) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 v) |
| ✓ | accuracy | 99.9% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) |
| ✓ | accuracy | 99.8% | (*.f64 e (cos.f64 v)) |
| ✓ | accuracy | 99.7% | (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) |
| ✓ | accuracy | 100.0% | (+.f64 e #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (sin.f64 v) |
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 e (sin.f64 v)) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 binary64))))) |
| ✓ | accuracy | 99.5% | (*.f64 e #s(literal 1/24 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) |
| ✓ | accuracy | 85.8% | (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 e #s(literal 1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 binary64))))))) |
| ✓ | accuracy | 100.0% | (+.f64 e #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 e v) |
| ✓ | accuracy | 99.9% | (/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) e)) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) |
| ✓ | accuracy | 99.8% | (*.f64 e (cos.f64 v)) |
| ✓ | accuracy | 99.5% | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) |
| 110.0ms | 256× | 0 | valid |
Compiled 667 to 50 computations (92.5% saved)
ival-mult: 26.0ms (33.3% of total)ival-div: 14.0ms (17.9% of total)const: 10.0ms (12.8% of total)ival-cos: 9.0ms (11.5% of total)ival-add: 8.0ms (10.2% of total)ival-sin: 6.0ms (7.7% of total)ival-sub: 3.0ms (3.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ (sin v) (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (* (- 1 (* e (cos v))) e))> |
#<alt (/ (sin v) (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))))> |
#<alt (sin v)> |
#<alt (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v))))))> |
#<alt (/ (* e v) (+ e 1))> |
#<alt (* e v)> |
#<alt (+ e 1)> |
#<alt (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1)))))> |
#<alt (+ (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1)))))))> |
#<alt (* v (+ (/ e (+ e 1)) (* (* v v) (+ (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1))))))))))> |
#<alt (+ (/ e (+ e 1)) (* (* v v) (+ (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1)))))))))> |
#<alt (/ (* e (sin v)) (+ e 1))> |
#<alt (* e (sin v))> |
#<alt (/ e (/ (+ 1 (* e (cos v))) (sin v)))> |
#<alt (/ (+ 1 (* e (cos v))) (sin v))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (* e (cos v))> |
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))> |
#<alt (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))> |
#<alt (* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1))))))> |
#<alt (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6))> |
#<alt (* e 1/24)> |
#<alt (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1))))> |
#<alt (cos v)> |
| Outputs |
|---|
#<alt (/ (* e (* v (- 1 e))) (- 1 (pow e 2)))> |
#<alt (* v (+ (* (pow v 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (/ (* e (- 1 e)) (- 1 (pow e 2)))))> |
#<alt (* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))) (- 1 (pow e 2))) (+ (* -1/3 (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2)))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (/ (* e (- 1 e)) (- 1 (pow e 2)))))> |
#<alt (* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/5040 (- 1 e)) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e))))) (- 1 (pow e 2))) (+ (* -1/3 (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))) (+ (* 2/45 (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))) (- 1 (pow e 2))) (+ (* -1/3 (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (- 1 (pow e 2))))))) (/ (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))) (- 1 (pow e 2)))) (+ (* -1/3 (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2)))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (/ (* e (- 1 e)) (- 1 (pow e 2)))))> |
#<alt (/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))> |
#<alt (/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))> |
#<alt (/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))> |
#<alt (/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))> |
#<alt (/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))> |
#<alt (/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))> |
#<alt (/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))> |
#<alt (/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))> |
#<alt (* e (sin v))> |
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))> |
#<alt (* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))> |
#<alt (* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (cos v) (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))))) (* -1 (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))))> |
#<alt (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))> |
#<alt (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))> |
#<alt (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (/ (* (cos v) (sin v)) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))))> |
#<alt (- (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (* -1 (/ (sin v) (* (pow e 3) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (* -1 (/ (* (cos v) (sin v)) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))))> |
#<alt (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))> |
#<alt (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (* (cos v) (sin v)) (* e (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))) e)) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (* (cos v) (sin v)) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) e)) (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))) e)) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))> |
#<alt (/ v (- 1 (pow e 2)))> |
#<alt (* v (+ (* -1 (* (pow v 2) (+ (* 1/6 (/ 1 (- 1 (pow e 2)))) (/ (pow e 2) (pow (- 1 (pow e 2)) 2))))) (/ 1 (- 1 (pow e 2)))))> |
#<alt (* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (- 1 (pow e 2)))) (+ (* -1 (/ (* (pow e 2) (+ (* 1/6 (/ 1 (- 1 (pow e 2)))) (/ (pow e 2) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))) (* -1/3 (/ (pow e 2) (pow (- 1 (pow e 2)) 2)))))) (+ (* 1/6 (/ 1 (- 1 (pow e 2)))) (/ (pow e 2) (pow (- 1 (pow e 2)) 2))))) (/ 1 (- 1 (pow e 2)))))> |
#<alt (* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* 1/5040 (/ 1 (- 1 (pow e 2)))) (+ (* 2/45 (/ (pow e 2) (pow (- 1 (pow e 2)) 2))) (+ (* 1/3 (/ (* (pow e 2) (+ (* 1/6 (/ 1 (- 1 (pow e 2)))) (/ (pow e 2) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))) (/ (* (pow e 2) (- (* 1/120 (/ 1 (- 1 (pow e 2)))) (+ (* -1 (/ (* (pow e 2) (+ (* 1/6 (/ 1 (- 1 (pow e 2)))) (/ (pow e 2) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))) (* -1/3 (/ (pow e 2) (pow (- 1 (pow e 2)) 2)))))) (- 1 (pow e 2)))))))) (* 1/120 (/ 1 (- 1 (pow e 2))))) (+ (* -1 (/ (* (pow e 2) (+ (* 1/6 (/ 1 (- 1 (pow e 2)))) (/ (pow e 2) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))) (* -1/3 (/ (pow e 2) (pow (- 1 (pow e 2)) 2)))))) (+ (* 1/6 (/ 1 (- 1 (pow e 2)))) (/ (pow e 2) (pow (- 1 (pow e 2)) 2))))) (/ 1 (- 1 (pow e 2)))))> |
#<alt (/ (sin v) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))> |
#<alt (/ (sin v) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))> |
#<alt (/ (sin v) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))> |
#<alt (/ (sin v) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))> |
#<alt (/ (sin v) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))> |
#<alt (/ (sin v) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))> |
#<alt (/ (sin v) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))> |
#<alt (/ (sin v) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))> |
#<alt (sin v)> |
#<alt (+ (sin v) (* (pow e 2) (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))))> |
#<alt (+ (sin v) (* (pow e 2) (- (* (pow e 2) (* (sin v) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) (* -1 (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))))))> |
#<alt (+ (sin v) (* (pow e 2) (- (* (pow e 2) (- (* (pow e 2) (* (sin v) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 3))) (* -1 (* (sin v) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))))) (* -1 (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))))))> |
#<alt (* -1 (/ (sin v) (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))> |
#<alt (/ (+ (* -1 (/ (sin v) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (* -1 (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (pow e 2))> |
#<alt (/ (- (+ (* -1 (/ (sin v) (* (pow e 4) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 3)))) (* -1 (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (sin v) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (pow e 2))> |
#<alt (/ (- (+ (* -1 (/ (sin v) (* (pow e 6) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 4)))) (* -1 (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (/ (sin v) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) (/ (sin v) (* (pow e 4) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 3))))) (pow e 2))> |
#<alt (* -1 (/ (sin v) (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))> |
#<alt (/ (+ (* -1 (/ (sin v) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (* -1 (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (pow e 2))> |
#<alt (/ (- (+ (* -1 (/ (sin v) (* (pow e 4) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 3)))) (* -1 (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (sin v) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (pow e 2))> |
#<alt (/ (- (+ (* -1 (/ (sin v) (* (pow e 6) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 4)))) (* -1 (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (/ (sin v) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) (/ (sin v) (* (pow e 4) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 3))))) (pow e 2))> |
#<alt v> |
#<alt (* v (+ 1 (* -1/6 (pow v 2))))> |
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))> |
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt 1> |
#<alt (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))> |
#<alt (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))> |
#<alt (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))> |
#<alt (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))> |
#<alt (* (pow e 2) (- (/ 1 (pow e 2)) (+ 1/2 (* 1/2 (cos (* 2 v))))))> |
#<alt (* (pow e 2) (- (/ 1 (pow e 2)) (+ 1/2 (* 1/2 (cos (* 2 v))))))> |
#<alt (* (pow e 2) (- (/ 1 (pow e 2)) (+ 1/2 (* 1/2 (cos (* 2 v))))))> |
#<alt (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))> |
#<alt (* (pow e 2) (- (/ 1 (pow e 2)) (+ 1/2 (* 1/2 (cos (* 2 v))))))> |
#<alt (* (pow e 2) (- (/ 1 (pow e 2)) (+ 1/2 (* 1/2 (cos (* 2 v))))))> |
#<alt (* (pow e 2) (- (/ 1 (pow e 2)) (+ 1/2 (* 1/2 (cos (* 2 v))))))> |
#<alt (- 1 (pow e 2))> |
#<alt (- (+ 1 (* (pow e 2) (pow v 2))) (pow e 2))> |
#<alt (- (+ 1 (* (pow v 2) (- (* -1/3 (* (pow e 2) (pow v 2))) (* -1 (pow e 2))))) (pow e 2))> |
#<alt (- (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* 2/45 (* (pow e 2) (pow v 2))) (* 1/3 (pow e 2)))) (* -1 (pow e 2))))) (pow e 2))> |
#<alt (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))> |
#<alt (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))> |
#<alt (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))> |
#<alt (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))> |
#<alt (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))> |
#<alt (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))> |
#<alt (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))> |
#<alt (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))> |
#<alt (* e v)> |
#<alt (* e (+ v (* -1 (* e v))))> |
#<alt (* e (+ v (* e (- (* e v) v))))> |
#<alt (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))> |
#<alt v> |
#<alt (+ v (* -1 (/ v e)))> |
#<alt (- (+ v (/ v (pow e 2))) (/ v e))> |
#<alt (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))> |
#<alt v> |
#<alt (+ v (* -1 (/ v e)))> |
#<alt (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))> |
#<alt (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt 1> |
#<alt (+ 1 e)> |
#<alt (+ 1 e)> |
#<alt (+ 1 e)> |
#<alt e> |
#<alt (* e (+ 1 (/ 1 e)))> |
#<alt (* e (+ 1 (/ 1 e)))> |
#<alt (* e (+ 1 (/ 1 e)))> |
#<alt e> |
#<alt (* e (+ 1 (/ 1 e)))> |
#<alt (* e (+ 1 (/ 1 e)))> |
#<alt (* e (+ 1 (/ 1 e)))> |
#<alt (* 1/120 e)> |
#<alt (* e (+ 1/120 (* -2/15 e)))> |
#<alt (* e (+ 1/120 (* e (- (* 61/120 e) 2/15))))> |
#<alt (* e (+ 1/120 (* e (- (* e (+ 61/120 (* -17/15 e))) 2/15))))> |
#<alt 2/15> |
#<alt (- 2/15 (* 61/120 (/ 1 e)))> |
#<alt (- (+ 2/15 (/ 17/15 (pow e 2))) (* 61/120 (/ 1 e)))> |
#<alt (- (+ 2/15 (/ 17/15 (pow e 2))) (+ (* 61/120 (/ 1 e)) (* 241/120 (/ 1 (pow e 3)))))> |
#<alt 2/15> |
#<alt (- 2/15 (* 61/120 (/ 1 e)))> |
#<alt (+ 2/15 (* -1 (/ (- 61/120 (* 17/15 (/ 1 e))) e)))> |
#<alt (+ 2/15 (* -1 (/ (+ 61/120 (* -1 (/ (- 17/15 (* 241/120 (/ 1 e))) e))) e)))> |
#<alt (* e (- (* 1/120 (pow v 2)) 1/6))> |
#<alt (* e (- (+ (* 1/120 (pow v 2)) (* e (+ 2/3 (* -2/15 (pow v 2))))) 1/6))> |
#<alt (* e (- (+ (* 1/120 (pow v 2)) (* e (+ 2/3 (+ (* -2/15 (pow v 2)) (* e (- (* 61/120 (pow v 2)) 7/6)))))) 1/6))> |
#<alt (* e (- (+ (* 1/120 (pow v 2)) (* e (+ 2/3 (+ (* -2/15 (pow v 2)) (* e (- (+ (* 61/120 (pow v 2)) (* e (+ 5/3 (* -17/15 (pow v 2))))) 7/6)))))) 1/6))> |
#<alt (+ 1/3 (* 2/15 (pow v 2)))> |
#<alt (- (+ 1/3 (+ (* -61/120 (/ (pow v 2) e)) (* 2/15 (pow v 2)))) (* 5/6 (/ 1 e)))> |
#<alt (- (+ 1/3 (+ (* -61/120 (/ (pow v 2) e)) (+ (* 2/15 (pow v 2)) (+ (* 17/15 (/ (pow v 2) (pow e 2))) (/ 4/3 (pow e 2)))))) (* 5/6 (/ 1 e)))> |
#<alt (- (+ 1/3 (+ (* -241/120 (/ (pow v 2) (pow e 3))) (+ (* -61/120 (/ (pow v 2) e)) (+ (* 2/15 (pow v 2)) (+ (* 17/15 (/ (pow v 2) (pow e 2))) (/ 4/3 (pow e 2))))))) (+ (* 5/6 (/ 1 e)) (* 11/6 (/ 1 (pow e 3)))))> |
#<alt (+ 1/3 (* 2/15 (pow v 2)))> |
#<alt (+ 1/3 (+ (* -1 (/ (+ 5/6 (* 61/120 (pow v 2))) e)) (* 2/15 (pow v 2))))> |
#<alt (+ 1/3 (+ (* -1 (/ (+ 5/6 (+ (* -1 (/ (+ 4/3 (* 17/15 (pow v 2))) e)) (* 61/120 (pow v 2)))) e)) (* 2/15 (pow v 2))))> |
#<alt (+ 1/3 (+ (* -1 (/ (+ 5/6 (+ (* -1 (/ (+ 4/3 (+ (* -1 (/ (+ 11/6 (* 241/120 (pow v 2))) e)) (* 17/15 (pow v 2)))) e)) (* 61/120 (pow v 2)))) e)) (* 2/15 (pow v 2))))> |
#<alt (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))> |
#<alt (+ (* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e)))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e)))> |
#<alt (+ (* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e)))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e)))> |
#<alt (+ (* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e)))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e)))> |
#<alt (* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e))))> |
#<alt (* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (+ (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e)) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (* (pow v 2) (+ 1 e))))))> |
#<alt (* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (+ (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e)) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (* (pow v 2) (+ 1 e))))))> |
#<alt (* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (+ (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e)) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (* (pow v 2) (+ 1 e))))))> |
#<alt (* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e))))> |
#<alt (* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (+ (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e)) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (* (pow v 2) (+ 1 e))))))> |
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#<alt 1> |
#<alt (+ 1 (* -1 (pow v 2)))> |
#<alt (+ 1 (* (pow v 2) (- (* 1/3 (pow v 2)) 1)))> |
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/3 (* -2/45 (pow v 2)))) 1)))> |
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))> |
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))> |
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))> |
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))> |
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))> |
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))> |
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))> |
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))> |
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))> |
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))> |
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))> |
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))> |
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))> |
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))> |
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))> |
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))> |
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))> |
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))> |
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))> |
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))> |
#<alt (pow e 2)> |
#<alt (+ (* -1 (* (pow e 2) (pow v 2))) (pow e 2))> |
#<alt (+ (* (pow v 2) (+ (* -1 (pow e 2)) (* 1/3 (* (pow e 2) (pow v 2))))) (pow e 2))> |
#<alt (+ (* (pow v 2) (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -2/45 (* (pow e 2) (pow v 2))) (* 1/3 (pow e 2)))))) (pow e 2))> |
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))> |
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))> |
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))> |
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))> |
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))> |
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))> |
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))> |
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))> |
#<alt (* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e))))> |
#<alt (* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e))))> |
#<alt (* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e))))> |
#<alt (* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e))))> |
#<alt (* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e))))> |
#<alt (* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e))))> |
#<alt (* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e))))> |
#<alt (* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e))))> |
#<alt (* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e))))> |
#<alt (* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e))))> |
#<alt (* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e))))> |
#<alt (* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e))))> |
#<alt (* 1/120 (* e (pow v 2)))> |
#<alt (* e (+ (* -2/15 (* e (pow v 2))) (* 1/120 (pow v 2))))> |
#<alt (* e (+ (* 1/120 (pow v 2)) (* e (+ (* -2/15 (pow v 2)) (* 61/120 (* e (pow v 2)))))))> |
#<alt (* e (+ (* 1/120 (pow v 2)) (* e (+ (* -2/15 (pow v 2)) (* e (+ (* -17/15 (* e (pow v 2))) (* 61/120 (pow v 2))))))))> |
#<alt (* 2/15 (pow v 2))> |
#<alt (+ (* -61/120 (/ (pow v 2) e)) (* 2/15 (pow v 2)))> |
#<alt (+ (* -61/120 (/ (pow v 2) e)) (+ (* 2/15 (pow v 2)) (* 17/15 (/ (pow v 2) (pow e 2)))))> |
#<alt (+ (* -241/120 (/ (pow v 2) (pow e 3))) (+ (* -61/120 (/ (pow v 2) e)) (+ (* 2/15 (pow v 2)) (* 17/15 (/ (pow v 2) (pow e 2))))))> |
#<alt (* 2/15 (pow v 2))> |
#<alt (+ (* -61/120 (/ (pow v 2) e)) (* 2/15 (pow v 2)))> |
#<alt (+ (* -1 (/ (+ (* -17/15 (/ (pow v 2) e)) (* 61/120 (pow v 2))) e)) (* 2/15 (pow v 2)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -241/120 (/ (pow v 2) e)) (* 17/15 (pow v 2))) e)) (* 61/120 (pow v 2))) e)) (* 2/15 (pow v 2)))> |
#<alt (* -1/6 e)> |
#<alt (* e (- (* 2/3 e) 1/6))> |
#<alt (* e (- (* e (+ 2/3 (* -7/6 e))) 1/6))> |
#<alt (* e (- (* e (+ 2/3 (* e (- (* 5/3 e) 7/6)))) 1/6))> |
#<alt 1/3> |
#<alt (- 1/3 (* 5/6 (/ 1 e)))> |
#<alt (- (+ 1/3 (/ 4/3 (pow e 2))) (* 5/6 (/ 1 e)))> |
#<alt (- (+ 1/3 (/ 4/3 (pow e 2))) (+ (* 5/6 (/ 1 e)) (* 11/6 (/ 1 (pow e 3)))))> |
#<alt 1/3> |
#<alt (- 1/3 (* 5/6 (/ 1 e)))> |
#<alt (+ 1/3 (* -1 (/ (- 5/6 (* 4/3 (/ 1 e))) e)))> |
#<alt (+ 1/3 (* -1 (/ (+ 5/6 (* -1 (/ (- 4/3 (* 11/6 (/ 1 e))) e))) e)))> |
#<alt (* 1/24 e)> |
#<alt (* 1/24 e)> |
#<alt (* 1/24 e)> |
#<alt (* 1/24 e)> |
#<alt (* 1/24 e)> |
#<alt (* 1/24 e)> |
#<alt (* 1/24 e)> |
#<alt (* 1/24 e)> |
#<alt (* 1/24 e)> |
#<alt (* 1/24 e)> |
#<alt (* 1/24 e)> |
#<alt (* 1/24 e)> |
#<alt (* 1/120 e)> |
#<alt (* e (+ 1/120 (* -1/20 e)))> |
#<alt (* e (+ 1/120 (* e (- (* 11/120 e) 1/20))))> |
#<alt (* e (+ 1/120 (* e (- (* e (+ 11/120 (* -2/15 e))) 1/20))))> |
#<alt -1/30> |
#<alt (- (* 3/40 (/ 1 e)) 1/30)> |
#<alt (- (* 3/40 (/ 1 e)) (+ 1/30 (/ 7/60 (pow e 2))))> |
#<alt (- (+ (* 3/40 (/ 1 e)) (* 19/120 (/ 1 (pow e 3)))) (+ 1/30 (/ 7/60 (pow e 2))))> |
#<alt -1/30> |
#<alt (- (* 3/40 (/ 1 e)) 1/30)> |
#<alt (- (* -1 (/ (- (* 7/60 (/ 1 e)) 3/40) e)) 1/30)> |
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 19/120 (/ 1 e)) 7/60) e)) 3/40) e)) 1/30)> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow v 2)))> |
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))> |
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))> |
#<alt (cos v)> |
#<alt (cos v)> |
#<alt (cos v)> |
#<alt (cos v)> |
#<alt (cos v)> |
#<alt (cos v)> |
#<alt (cos v)> |
#<alt (cos v)> |
120 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | v | @ | 0 | (/ (* e (sin v)) (+ e 1)) |
| 4.0ms | v | @ | -inf | (* (/ (sin v) (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (* (- 1 (* e (cos v))) e)) |
| 4.0ms | v | @ | 0 | (+ (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1))))))) |
| 4.0ms | v | @ | 0 | (/ (sin v) (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v))))))) |
| 4.0ms | v | @ | 0 | (* (/ (sin v) (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (* (- 1 (* e (cos v))) e)) |
| 1× | batch-egg-rewrite |
| 4 410× | /-lowering-/.f32 |
| 4 410× | /-lowering-/.f64 |
| 3 800× | *-lowering-*.f32 |
| 3 800× | *-lowering-*.f64 |
| 2 830× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 465 |
| 1 | 310 | 393 |
| 2 | 3153 | 393 |
| 0 | 8144 | 370 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (sin v) (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (* (- 1 (* e (cos v))) e)) |
(/ (sin v) (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v))))))) |
(sin v) |
(- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))) |
(/ (* e v) (+ e 1)) |
(* e v) |
(+ e 1) |
(+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1))))) |
(+ (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1))))))) |
(* v (+ (/ e (+ e 1)) (* (* v v) (+ (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1)))))))))) |
(+ (/ e (+ e 1)) (* (* v v) (+ (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1))))))))) |
(/ (* e (sin v)) (+ e 1)) |
(* e (sin v)) |
(/ e (/ (+ 1 (* e (cos v))) (sin v))) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(+ 1 (* e (cos v))) |
(* e (cos v)) |
(+ 1/2 (* 1/2 (cos (* 2 v)))) |
(* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v))))) |
(* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1)))))) |
(* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) |
(* e 1/24) |
(* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1)))) |
(cos v) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 (sin.f64 v) e))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))) (/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 (sin.f64 v) e))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))) (*.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 (sin.f64 v) e))))) |
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) |
(/.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))) (sin.f64 v))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 v) e)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) |
(/.f64 (*.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))) |
(/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 (sin.f64 v) e)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))) (*.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) e)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))) |
(/.f64 (*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))) (sin.f64 v))) |
(/.f64 (*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (-.f64 #s(literal 0 binary64) (sin.f64 v))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))) (sin.f64 v))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) e))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))) |
(/.f64 (neg.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))) (sin.f64 v)))) |
(/.f64 (neg.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal 1 binary64))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))) (sin.f64 v)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))) (sin.f64 v)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))) (*.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal -1 binary64)) |
(*.f64 (sin.f64 v) (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) |
(*.f64 (sin.f64 v) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))) |
(*.f64 (sin.f64 v) (/.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) |
(*.f64 e (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) |
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(/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
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(/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 (sin.f64 v) e)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64)))) |
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) e)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))) |
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(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) e) |
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(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (sin.f64 v)) |
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(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (sin.f64 v)) (/.f64 (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (sin.f64 v))) |
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(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (sin.f64 v)) |
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(/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/576 binary64) (/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (/.f64 (+.f64 #s(literal 1 binary64) e) e)))) (-.f64 #s(literal 0 binary64) e)) (*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1 binary64) e))) (+.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 e (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal -1/24 binary64)) (+.f64 #s(literal 1 binary64) e))))) (+.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal -1/24 binary64)) (+.f64 #s(literal 1 binary64) e)))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
(/.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/1728000 binary64) (/.f64 (*.f64 (*.f64 e (*.f64 e e)) #s(literal -1/13824 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 #s(literal 1/14400 binary64) (*.f64 (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1 binary64) e)))))) |
(/.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/576 binary64) (/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (/.f64 (+.f64 #s(literal 1 binary64) e) e))))) (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal -1/24 binary64)) (+.f64 #s(literal 1 binary64) e))) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) |
(/.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal -1/24 binary64)) (+.f64 #s(literal 1 binary64) e))) (-.f64 #s(literal 0 binary64) e)) (+.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal -1/24 binary64)) (+.f64 #s(literal 1 binary64) e)))) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) e) (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal -1/24 binary64)) (+.f64 #s(literal 1 binary64) e)))) (+.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/1728000 binary64) (/.f64 (*.f64 (*.f64 e (*.f64 e e)) #s(literal -1/13824 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1/14400 binary64) (*.f64 (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1 binary64) e)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/576 binary64) (/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (/.f64 (+.f64 #s(literal 1 binary64) e) e)))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/1728000 binary64) (/.f64 (*.f64 (*.f64 e (*.f64 e e)) #s(literal -1/13824 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))))) (neg.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (+.f64 #s(literal 1/14400 binary64) (*.f64 (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1 binary64) e)))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/576 binary64) (/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (/.f64 (+.f64 #s(literal 1 binary64) e) e)))))) (neg.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1 binary64) e)))))) |
(/.f64 (neg.f64 (*.f64 e (+.f64 #s(literal 1/1728000 binary64) (/.f64 (*.f64 (*.f64 e (*.f64 e e)) #s(literal -1/13824 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1/14400 binary64) (*.f64 (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1 binary64) e)))))))) |
(/.f64 (neg.f64 (*.f64 e (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/576 binary64) (/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (/.f64 (+.f64 #s(literal 1 binary64) e) e)))))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1 binary64) e)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) e) (+.f64 #s(literal 1/1728000 binary64) (/.f64 (*.f64 (*.f64 e (*.f64 e e)) #s(literal -1/13824 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))))) (neg.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64)) (+.f64 #s(literal 1/14400 binary64) (*.f64 (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1 binary64) e)))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) e) (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/576 binary64) (/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (/.f64 (+.f64 #s(literal 1 binary64) e) e)))))) (neg.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1 binary64) e)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/1728000 binary64) (/.f64 (*.f64 (*.f64 e (*.f64 e e)) #s(literal -1/13824 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1/14400 binary64) (*.f64 (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1 binary64) e))))) (/.f64 (+.f64 #s(literal 1 binary64) e) e)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/1728000 binary64) (/.f64 (*.f64 (*.f64 e (*.f64 e e)) #s(literal -1/13824 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) e)) (neg.f64 (*.f64 (+.f64 #s(literal 1/14400 binary64) (*.f64 (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/1728000 binary64) (/.f64 (*.f64 (*.f64 e (*.f64 e e)) #s(literal -1/13824 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (-.f64 #s(literal 0 binary64) e))) (neg.f64 (*.f64 (+.f64 #s(literal 1/14400 binary64) (*.f64 (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1 binary64) e))))) (+.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/576 binary64) (/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (/.f64 (+.f64 #s(literal 1 binary64) e) e)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1 binary64) e))) (/.f64 (+.f64 #s(literal 1 binary64) e) e)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/576 binary64) (/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (/.f64 (+.f64 #s(literal 1 binary64) e) e)))) e)) (neg.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/576 binary64) (/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (/.f64 (+.f64 #s(literal 1 binary64) e) e)))) (-.f64 #s(literal 0 binary64) e))) (neg.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1 binary64) e))) (+.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 e (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal -1/24 binary64)) (+.f64 #s(literal 1 binary64) e)))))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/1728000 binary64) (/.f64 (*.f64 (*.f64 e (*.f64 e e)) #s(literal -1/13824 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (*.f64 (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1 binary64) e))))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/576 binary64) (/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (/.f64 (+.f64 #s(literal 1 binary64) e) e)))))) (neg.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1 binary64) e))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal -1/24 binary64)) (+.f64 #s(literal 1 binary64) e))) #s(literal 1 binary64))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal -1/24 binary64)) (+.f64 #s(literal 1 binary64) e))) (-.f64 #s(literal 0 binary64) e))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal -1/24 binary64)) (+.f64 #s(literal 1 binary64) e))))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) e) (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal -1/24 binary64)) (+.f64 #s(literal 1 binary64) e))))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/1728000 binary64) (/.f64 (*.f64 (*.f64 e (*.f64 e e)) #s(literal -1/13824 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (*.f64 (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1 binary64) e))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/576 binary64) (/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (/.f64 (+.f64 #s(literal 1 binary64) e) e)))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (neg.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1 binary64) e))))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal -1/24 binary64)) (+.f64 #s(literal 1 binary64) e))))) #s(literal -1 binary64)) |
(*.f64 e (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal -1/24 binary64)) (+.f64 #s(literal 1 binary64) e))))) |
(*.f64 e (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal -1/24 binary64)) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e))) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal -1/24 binary64)) (+.f64 #s(literal 1 binary64) e)))) |
(*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal -1/24 binary64)) (+.f64 #s(literal 1 binary64) e))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) |
(*.f64 (*.f64 e (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal -1/24 binary64)) (+.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e))) |
(*.f64 (/.f64 (*.f64 e (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal -1/24 binary64)) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))) (+.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e))) |
(*.f64 (/.f64 (*.f64 e (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal -1/24 binary64)) (+.f64 #s(literal 1 binary64) e)))) (+.f64 (*.f64 e e) #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64))) |
(cos.f64 v) |
| 1× | egg-herbie |
| 10 270× | accelerator-lowering-fma.f32 |
| 10 270× | accelerator-lowering-fma.f64 |
| 6 212× | *-lowering-*.f32 |
| 6 212× | *-lowering-*.f64 |
| 6 068× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1010 | 9380 |
| 1 | 3227 | 9164 |
| 0 | 8504 | 8566 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* e (* v (- 1 e))) (- 1 (pow e 2))) |
(* v (+ (* (pow v 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (/ (* e (- 1 e)) (- 1 (pow e 2))))) |
(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))) (- 1 (pow e 2))) (+ (* -1/3 (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2)))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (/ (* e (- 1 e)) (- 1 (pow e 2))))) |
(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/5040 (- 1 e)) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e))))) (- 1 (pow e 2))) (+ (* -1/3 (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))) (+ (* 2/45 (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))) (- 1 (pow e 2))) (+ (* -1/3 (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (- 1 (pow e 2))))))) (/ (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))) (- 1 (pow e 2)))) (+ (* -1/3 (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2)))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (/ (* e (- 1 e)) (- 1 (pow e 2))))) |
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))) |
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))) |
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))) |
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))) |
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))) |
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))) |
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))) |
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))) |
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))))))) |
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (cos v) (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))))) (* -1 (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))))))))) |
(/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))) |
(+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))) |
(+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (/ (* (cos v) (sin v)) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))) |
(- (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (* -1 (/ (sin v) (* (pow e 3) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (* -1 (/ (* (cos v) (sin v)) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))))) |
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(+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* (pow v 2) (+ 11/6 (* 241/120 (pow v 2))))) e)) (* (pow v 2) (+ 4/3 (* 17/15 (pow v 2)))))) e)) (* (pow v 2) (+ 5/6 (* 61/120 (pow v 2)))))) e)) (* (pow v 2) (+ 1/3 (* 2/15 (pow v 2)))))) |
(/ e (+ 1 e)) |
(+ (/ e (+ 1 e)) (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))) |
(+ (* (pow v 2) (+ (* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e)))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e)))) (/ e (+ 1 e))) |
(+ (* (pow v 2) (+ (* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e)))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e)))) (/ e (+ 1 e))) |
(* (pow v 4) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e)))) |
(* (pow v 4) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (+ (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e)) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (* (pow v 2) (+ 1 e)))))) |
(* (pow v 4) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (+ (/ e (* (pow v 4) (+ 1 e))) (+ (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e)) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (* (pow v 2) (+ 1 e))))))) |
(* (pow v 4) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (+ (/ e (* (pow v 4) (+ 1 e))) (+ (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e)) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (* (pow v 2) (+ 1 e))))))) |
(* (pow v 4) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e)))) |
(* (pow v 4) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (+ (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e)) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (* (pow v 2) (+ 1 e)))))) |
(* (pow v 4) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (+ (/ e (* (pow v 4) (+ 1 e))) (+ (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e)) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (* (pow v 2) (+ 1 e))))))) |
(* (pow v 4) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (+ (/ e (* (pow v 4) (+ 1 e))) (+ (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e)) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (* (pow v 2) (+ 1 e))))))) |
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (sin v))))) |
(* e (+ (sin v) (* e (- (* e (sin v)) (sin v))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (sin v))) (* -1 (sin v)))) (sin v))))) |
(sin v) |
(+ (sin v) (* -1 (/ (sin v) e))) |
(- (+ (sin v) (/ (sin v) (pow e 2))) (/ (sin v) e)) |
(- (+ (sin v) (* -1 (/ (sin v) (pow e 3)))) (+ (* -1 (/ (sin v) (pow e 2))) (/ (sin v) e))) |
(sin v) |
(+ (sin v) (* -1 (/ (sin v) e))) |
(+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (sin v) e))) e))) |
(+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (sin v) e))) e))) e))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* -1/6 (/ (* e (pow v 2)) (+ 1 e))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* 1/120 (/ (* e (pow v 2)) (+ 1 e))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (+ (* -1/5040 (/ (* e (pow v 2)) (+ 1 e))) (* 1/120 (/ e (+ 1 e))))))) (/ e (+ 1 e)))) |
(/ (* e (sin v)) (+ 1 e)) |
(/ (* e (sin v)) (+ 1 e)) |
(/ (* e (sin v)) (+ 1 e)) |
(/ (* e (sin v)) (+ 1 e)) |
(/ (* e (sin v)) (+ 1 e)) |
(/ (* e (sin v)) (+ 1 e)) |
(/ (* e (sin v)) (+ 1 e)) |
(/ (* e (sin v)) (+ 1 e)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e v) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ 1 (sin v)) |
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) |
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) |
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) |
(/ (* e (cos v)) (sin v)) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(/ (* e (cos v)) (sin v)) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(/ (+ 1 e) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
1 |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(* e (cos v)) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(* e (cos v)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(+ 1 e) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
e |
(+ e (* -1/2 (* e (pow v 2)))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
1 |
(+ 1 (* -1 (pow v 2))) |
(+ 1 (* (pow v 2) (- (* 1/3 (pow v 2)) 1))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/3 (* -2/45 (pow v 2)))) 1))) |
(+ 1/2 (* 1/2 (cos (* 2 v)))) |
(+ 1/2 (* 1/2 (cos (* 2 v)))) |
(+ 1/2 (* 1/2 (cos (* 2 v)))) |
(+ 1/2 (* 1/2 (cos (* 2 v)))) |
(+ 1/2 (* 1/2 (cos (* 2 v)))) |
(+ 1/2 (* 1/2 (cos (* 2 v)))) |
(+ 1/2 (* 1/2 (cos (* 2 v)))) |
(+ 1/2 (* 1/2 (cos (* 2 v)))) |
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) |
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) |
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) |
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) |
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) |
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) |
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) |
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) |
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) |
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) |
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) |
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) |
(pow e 2) |
(+ (* -1 (* (pow e 2) (pow v 2))) (pow e 2)) |
(+ (* (pow v 2) (+ (* -1 (pow e 2)) (* 1/3 (* (pow e 2) (pow v 2))))) (pow e 2)) |
(+ (* (pow v 2) (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -2/45 (* (pow e 2) (pow v 2))) (* 1/3 (pow e 2)))))) (pow e 2)) |
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) |
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) |
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) |
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) |
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) |
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) |
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) |
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) |
(* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e)))) |
(* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e)))) |
(* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e)))) |
(* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e)))) |
(* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e)))) |
(* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e)))) |
(* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e)))) |
(* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e)))) |
(* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e)))) |
(* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e)))) |
(* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e)))) |
(* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e)))) |
(* 1/120 (* e (pow v 2))) |
(* e (+ (* -2/15 (* e (pow v 2))) (* 1/120 (pow v 2)))) |
(* e (+ (* 1/120 (pow v 2)) (* e (+ (* -2/15 (pow v 2)) (* 61/120 (* e (pow v 2))))))) |
(* e (+ (* 1/120 (pow v 2)) (* e (+ (* -2/15 (pow v 2)) (* e (+ (* -17/15 (* e (pow v 2))) (* 61/120 (pow v 2)))))))) |
(* 2/15 (pow v 2)) |
(+ (* -61/120 (/ (pow v 2) e)) (* 2/15 (pow v 2))) |
(+ (* -61/120 (/ (pow v 2) e)) (+ (* 2/15 (pow v 2)) (* 17/15 (/ (pow v 2) (pow e 2))))) |
(+ (* -241/120 (/ (pow v 2) (pow e 3))) (+ (* -61/120 (/ (pow v 2) e)) (+ (* 2/15 (pow v 2)) (* 17/15 (/ (pow v 2) (pow e 2)))))) |
(* 2/15 (pow v 2)) |
(+ (* -61/120 (/ (pow v 2) e)) (* 2/15 (pow v 2))) |
(+ (* -1 (/ (+ (* -17/15 (/ (pow v 2) e)) (* 61/120 (pow v 2))) e)) (* 2/15 (pow v 2))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -241/120 (/ (pow v 2) e)) (* 17/15 (pow v 2))) e)) (* 61/120 (pow v 2))) e)) (* 2/15 (pow v 2))) |
(* -1/6 e) |
(* e (- (* 2/3 e) 1/6)) |
(* e (- (* e (+ 2/3 (* -7/6 e))) 1/6)) |
(* e (- (* e (+ 2/3 (* e (- (* 5/3 e) 7/6)))) 1/6)) |
1/3 |
(- 1/3 (* 5/6 (/ 1 e))) |
(- (+ 1/3 (/ 4/3 (pow e 2))) (* 5/6 (/ 1 e))) |
(- (+ 1/3 (/ 4/3 (pow e 2))) (+ (* 5/6 (/ 1 e)) (* 11/6 (/ 1 (pow e 3))))) |
1/3 |
(- 1/3 (* 5/6 (/ 1 e))) |
(+ 1/3 (* -1 (/ (- 5/6 (* 4/3 (/ 1 e))) e))) |
(+ 1/3 (* -1 (/ (+ 5/6 (* -1 (/ (- 4/3 (* 11/6 (/ 1 e))) e))) e))) |
(* 1/24 e) |
(* 1/24 e) |
(* 1/24 e) |
(* 1/24 e) |
(* 1/24 e) |
(* 1/24 e) |
(* 1/24 e) |
(* 1/24 e) |
(* 1/24 e) |
(* 1/24 e) |
(* 1/24 e) |
(* 1/24 e) |
(* 1/120 e) |
(* e (+ 1/120 (* -1/20 e))) |
(* e (+ 1/120 (* e (- (* 11/120 e) 1/20)))) |
(* e (+ 1/120 (* e (- (* e (+ 11/120 (* -2/15 e))) 1/20)))) |
-1/30 |
(- (* 3/40 (/ 1 e)) 1/30) |
(- (* 3/40 (/ 1 e)) (+ 1/30 (/ 7/60 (pow e 2)))) |
(- (+ (* 3/40 (/ 1 e)) (* 19/120 (/ 1 (pow e 3)))) (+ 1/30 (/ 7/60 (pow e 2)))) |
-1/30 |
(- (* 3/40 (/ 1 e)) 1/30) |
(- (* -1 (/ (- (* 7/60 (/ 1 e)) 3/40) e)) 1/30) |
(- (* -1 (/ (- (* -1 (/ (- (* 19/120 (/ 1 e)) 7/60) e)) 3/40) e)) 1/30) |
1 |
(+ 1 (* -1/2 (pow v 2))) |
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
(cos v) |
(cos v) |
(cos v) |
(cos v) |
(cos v) |
(cos v) |
(cos v) |
(cos v) |
| Outputs |
|---|
(/ (* e (* v (- 1 e))) (- 1 (pow e 2))) |
(/.f64 (*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) e)) v) (-.f64 #s(literal 1 binary64) (*.f64 e e))) |
(* v (+ (* (pow v 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (/ (* e (- 1 e)) (- 1 (pow e 2))))) |
(*.f64 v (+.f64 (*.f64 (*.f64 v v) (-.f64 (/.f64 (*.f64 e (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1/6 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) (*.f64 e e)))))) (/.f64 (*.f64 e (-.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) (*.f64 e e))))) |
(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))) (- 1 (pow e 2))) (+ (* -1/3 (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2)))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (/ (* e (- 1 e)) (- 1 (pow e 2))))) |
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(/ (sin v) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))) |
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(/ (sin v) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))) |
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(/ (sin v) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))) |
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(/ (sin v) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))) |
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(/ (sin v) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))) |
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(/ (sin v) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))) |
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(/ (sin v) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))) |
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(/ (sin v) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))) |
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(sin v) |
(sin.f64 v) |
(+ (sin v) (* (pow e 2) (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))) |
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(+ (sin v) (* (pow e 2) (- (* (pow e 2) (* (sin v) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) (* -1 (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))) |
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(+ (sin v) (* (pow e 2) (- (* (pow e 2) (- (* (pow e 2) (* (sin v) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 3))) (* -1 (* (sin v) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))))) (* -1 (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))) |
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(* -1 (/ (sin v) (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))) |
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(/ (+ (* -1 (/ (sin v) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (* -1 (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (pow e 2)) |
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(/ (- (+ (* -1 (/ (sin v) (* (pow e 4) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 3)))) (* -1 (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (sin v) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (pow e 2)) |
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(/ (- (+ (* -1 (/ (sin v) (* (pow e 6) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 4)))) (* -1 (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (/ (sin v) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) (/ (sin v) (* (pow e 4) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 3))))) (pow e 2)) |
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(* -1 (/ (sin v) (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))) |
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(/ (+ (* -1 (/ (sin v) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (* -1 (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (pow e 2)) |
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(/ (- (+ (* -1 (/ (sin v) (* (pow e 4) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 3)))) (* -1 (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (sin v) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (pow e 2)) |
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(/ (- (+ (* -1 (/ (sin v) (* (pow e 6) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 4)))) (* -1 (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (/ (sin v) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) (/ (sin v) (* (pow e 4) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 3))))) (pow e 2)) |
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v |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) |
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) |
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(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) |
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(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
1 |
#s(literal 1 binary64) |
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(+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))) |
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(+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))) |
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(* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))) |
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(* (pow e 2) (- (/ 1 (pow e 2)) (+ 1/2 (* 1/2 (cos (* 2 v)))))) |
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(* (pow e 2) (- (/ 1 (pow e 2)) (+ 1/2 (* 1/2 (cos (* 2 v)))))) |
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(* (pow e 2) (- (/ 1 (pow e 2)) (+ 1/2 (* 1/2 (cos (* 2 v)))))) |
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(* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))) |
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(* (pow e 2) (- (/ 1 (pow e 2)) (+ 1/2 (* 1/2 (cos (* 2 v)))))) |
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(* (pow e 2) (- (/ 1 (pow e 2)) (+ 1/2 (* 1/2 (cos (* 2 v)))))) |
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(* (pow e 2) (- (/ 1 (pow e 2)) (+ 1/2 (* 1/2 (cos (* 2 v)))))) |
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(- 1 (pow e 2)) |
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(- (+ 1 (* (pow v 2) (- (* -1/3 (* (pow e 2) (pow v 2))) (* -1 (pow e 2))))) (pow e 2)) |
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(- (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* 2/45 (* (pow e 2) (pow v 2))) (* 1/3 (pow e 2)))) (* -1 (pow e 2))))) (pow e 2)) |
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(- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))) |
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(- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))) |
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(- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))) |
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(- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))) |
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(* e (+ (* 1/120 (pow v 2)) (* e (+ (* -2/15 (pow v 2)) (* 61/120 (* e (pow v 2))))))) |
(*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal 61/120 binary64)) #s(literal -2/15 binary64)))))) |
(* e (+ (* 1/120 (pow v 2)) (* e (+ (* -2/15 (pow v 2)) (* e (+ (* -17/15 (* e (pow v 2))) (* 61/120 (pow v 2)))))))) |
(*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal -2/15 binary64)))) (*.f64 (*.f64 e e) (*.f64 (*.f64 v v) (+.f64 #s(literal 61/120 binary64) (*.f64 e #s(literal -17/15 binary64))))))) |
(* 2/15 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal 2/15 binary64)) |
(+ (* -61/120 (/ (pow v 2) e)) (* 2/15 (pow v 2))) |
(+.f64 (*.f64 (*.f64 v v) #s(literal 2/15 binary64)) (*.f64 #s(literal -61/120 binary64) (/.f64 (*.f64 v v) e))) |
(+ (* -61/120 (/ (pow v 2) e)) (+ (* 2/15 (pow v 2)) (* 17/15 (/ (pow v 2) (pow e 2))))) |
(+.f64 (*.f64 (*.f64 v v) #s(literal 2/15 binary64)) (+.f64 (*.f64 #s(literal -61/120 binary64) (/.f64 (*.f64 v v) e)) (/.f64 (*.f64 (*.f64 v v) #s(literal 17/15 binary64)) (*.f64 e e)))) |
(+ (* -241/120 (/ (pow v 2) (pow e 3))) (+ (* -61/120 (/ (pow v 2) e)) (+ (* 2/15 (pow v 2)) (* 17/15 (/ (pow v 2) (pow e 2)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -241/120 binary64)) (*.f64 e (*.f64 e e))) (+.f64 (*.f64 (*.f64 v v) #s(literal 2/15 binary64)) (+.f64 (*.f64 #s(literal -61/120 binary64) (/.f64 (*.f64 v v) e)) (/.f64 (*.f64 (*.f64 v v) #s(literal 17/15 binary64)) (*.f64 e e))))) |
(* 2/15 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal 2/15 binary64)) |
(+ (* -61/120 (/ (pow v 2) e)) (* 2/15 (pow v 2))) |
(+.f64 (*.f64 (*.f64 v v) #s(literal 2/15 binary64)) (*.f64 #s(literal -61/120 binary64) (/.f64 (*.f64 v v) e))) |
(+ (* -1 (/ (+ (* -17/15 (/ (pow v 2) e)) (* 61/120 (pow v 2))) e)) (* 2/15 (pow v 2))) |
(-.f64 (*.f64 (*.f64 v v) #s(literal 2/15 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 61/120 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal -17/15 binary64)) e)) e)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -241/120 (/ (pow v 2) e)) (* 17/15 (pow v 2))) e)) (* 61/120 (pow v 2))) e)) (* 2/15 (pow v 2))) |
(-.f64 (*.f64 (*.f64 v v) #s(literal 2/15 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 61/120 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 17/15 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal -241/120 binary64)) e)) e)) e)) |
(* -1/6 e) |
(*.f64 e #s(literal -1/6 binary64)) |
(* e (- (* 2/3 e) 1/6)) |
(*.f64 e (+.f64 (*.f64 e #s(literal 2/3 binary64)) #s(literal -1/6 binary64))) |
(* e (- (* e (+ 2/3 (* -7/6 e))) 1/6)) |
(*.f64 e (+.f64 (*.f64 e (+.f64 #s(literal 2/3 binary64) (*.f64 e #s(literal -7/6 binary64)))) #s(literal -1/6 binary64))) |
(* e (- (* e (+ 2/3 (* e (- (* 5/3 e) 7/6)))) 1/6)) |
(*.f64 e (+.f64 (*.f64 e (+.f64 #s(literal 2/3 binary64) (*.f64 e (+.f64 (*.f64 e #s(literal 5/3 binary64)) #s(literal -7/6 binary64))))) #s(literal -1/6 binary64))) |
1/3 |
#s(literal 1/3 binary64) |
(- 1/3 (* 5/6 (/ 1 e))) |
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -5/6 binary64) e)) |
(- (+ 1/3 (/ 4/3 (pow e 2))) (* 5/6 (/ 1 e))) |
(+.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 e e)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -5/6 binary64) e))) |
(- (+ 1/3 (/ 4/3 (pow e 2))) (+ (* 5/6 (/ 1 e)) (* 11/6 (/ 1 (pow e 3))))) |
(+.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 e e))) (-.f64 (/.f64 #s(literal -5/6 binary64) e) (/.f64 #s(literal 11/6 binary64) (*.f64 e (*.f64 e e))))) |
1/3 |
#s(literal 1/3 binary64) |
(- 1/3 (* 5/6 (/ 1 e))) |
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -5/6 binary64) e)) |
(+ 1/3 (* -1 (/ (- 5/6 (* 4/3 (/ 1 e))) e))) |
(-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -4/3 binary64) e)) e)) |
(+ 1/3 (* -1 (/ (+ 5/6 (* -1 (/ (- 4/3 (* 11/6 (/ 1 e))) e))) e))) |
(-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 4/3 binary64) (/.f64 #s(literal -11/6 binary64) e)) e)) e)) |
(* 1/24 e) |
(*.f64 e #s(literal 1/24 binary64)) |
(* 1/24 e) |
(*.f64 e #s(literal 1/24 binary64)) |
(* 1/24 e) |
(*.f64 e #s(literal 1/24 binary64)) |
(* 1/24 e) |
(*.f64 e #s(literal 1/24 binary64)) |
(* 1/24 e) |
(*.f64 e #s(literal 1/24 binary64)) |
(* 1/24 e) |
(*.f64 e #s(literal 1/24 binary64)) |
(* 1/24 e) |
(*.f64 e #s(literal 1/24 binary64)) |
(* 1/24 e) |
(*.f64 e #s(literal 1/24 binary64)) |
(* 1/24 e) |
(*.f64 e #s(literal 1/24 binary64)) |
(* 1/24 e) |
(*.f64 e #s(literal 1/24 binary64)) |
(* 1/24 e) |
(*.f64 e #s(literal 1/24 binary64)) |
(* 1/24 e) |
(*.f64 e #s(literal 1/24 binary64)) |
(* 1/120 e) |
(*.f64 e #s(literal 1/120 binary64)) |
(* e (+ 1/120 (* -1/20 e))) |
(*.f64 e (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal -1/20 binary64)))) |
(* e (+ 1/120 (* e (- (* 11/120 e) 1/20)))) |
(*.f64 e (+.f64 #s(literal 1/120 binary64) (*.f64 e (+.f64 (*.f64 e #s(literal 11/120 binary64)) #s(literal -1/20 binary64))))) |
(* e (+ 1/120 (* e (- (* e (+ 11/120 (* -2/15 e))) 1/20)))) |
(*.f64 e (+.f64 #s(literal 1/120 binary64) (*.f64 e (+.f64 (*.f64 e (+.f64 (*.f64 e #s(literal -2/15 binary64)) #s(literal 11/120 binary64))) #s(literal -1/20 binary64))))) |
-1/30 |
#s(literal -1/30 binary64) |
(- (* 3/40 (/ 1 e)) 1/30) |
(+.f64 (/.f64 #s(literal 3/40 binary64) e) #s(literal -1/30 binary64)) |
(- (* 3/40 (/ 1 e)) (+ 1/30 (/ 7/60 (pow e 2)))) |
(+.f64 (/.f64 #s(literal 3/40 binary64) e) (-.f64 #s(literal -1/30 binary64) (/.f64 #s(literal 7/60 binary64) (*.f64 e e)))) |
(- (+ (* 3/40 (/ 1 e)) (* 19/120 (/ 1 (pow e 3)))) (+ 1/30 (/ 7/60 (pow e 2)))) |
(-.f64 (+.f64 (/.f64 #s(literal 19/120 binary64) (*.f64 e (*.f64 e e))) (+.f64 (/.f64 #s(literal 3/40 binary64) e) #s(literal -1/30 binary64))) (/.f64 #s(literal 7/60 binary64) (*.f64 e e))) |
-1/30 |
#s(literal -1/30 binary64) |
(- (* 3/40 (/ 1 e)) 1/30) |
(+.f64 (/.f64 #s(literal 3/40 binary64) e) #s(literal -1/30 binary64)) |
(- (* -1 (/ (- (* 7/60 (/ 1 e)) 3/40) e)) 1/30) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 7/60 binary64) e) #s(literal -3/40 binary64)) (-.f64 #s(literal 0 binary64) e)) #s(literal -1/30 binary64)) |
(- (* -1 (/ (- (* -1 (/ (- (* 19/120 (/ 1 e)) 7/60) e)) 3/40) e)) 1/30) |
(+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 19/120 binary64) e) #s(literal -7/60 binary64)) (-.f64 #s(literal 0 binary64) e)) #s(literal -3/40 binary64)) (-.f64 #s(literal 0 binary64) e)) #s(literal -1/30 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow v 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/2 binary64))) |
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)))) |
(cos v) |
(cos.f64 v) |
(cos v) |
(cos.f64 v) |
(cos v) |
(cos.f64 v) |
(cos v) |
(cos.f64 v) |
(cos v) |
(cos.f64 v) |
(cos v) |
(cos.f64 v) |
(cos v) |
(cos.f64 v) |
(cos v) |
(cos.f64 v) |
Compiled 99 232 to 6 710 computations (93.2% saved)
28 alts after pruning (25 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 713 | 22 | 1 735 |
| Fresh | 3 | 3 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 718 | 28 | 1 746 |
| Status | Accuracy | Program |
|---|---|---|
| 98.7% | (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)) | |
| 53.8% | (/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64))) | |
| 53.7% | (/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64))) | |
| 53.6% | (/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64))) | |
| 53.8% | (/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64))) | |
| ✓ | 98.3% | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64))) |
| ✓ | 54.1% | (/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64))) |
| 99.7% | (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) | |
| 54.1% | (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) | |
| 55.2% | (/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 e #s(literal -1/720 binary64)) (*.f64 #s(literal 1/6 binary64) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) #s(literal 1 binary64))) v)) | |
| 55.1% | (/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) #s(literal 1 binary64))) v)) | |
| 55.1% | (/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v)) | |
| 54.0% | (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)) | |
| ✓ | 99.7% | (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) |
| ▶ | 97.9% | (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
| 98.8% | (/.f64 e (*.f64 e (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v))))) | |
| ▶ | 53.2% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)) |
| 97.4% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (sin.f64 v) e))) | |
| 2.5% | (-.f64 v (/.f64 v e)) | |
| 98.3% | (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 (*.f64 e e) #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64))) | |
| ▶ | 99.8% | (*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))) |
| 54.1% | (*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) e)) v) | |
| ▶ | 53.8% | (*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (+.f64 e #s(literal 1 binary64)))))) |
| 53.3% | (*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) | |
| 98.2% | (*.f64 e (sin.f64 v)) | |
| 53.9% | (*.f64 e v) | |
| 5.8% | (sin.f64 v) | |
| ▶ | 4.5% | v |
Compiled 966 to 562 computations (41.8% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 v) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sin.f64 v)) |
| ✓ | cost-diff | 128 | (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
| ✓ | cost-diff | 0 | (+.f64 e #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 e (+.f64 e #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (+.f64 e #s(literal 1 binary64)))))) |
| ✓ | cost-diff | 256 | (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (+.f64 e #s(literal 1 binary64))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) e) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) e) e) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) e) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) |
| ✓ | cost-diff | 128 | (*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))) |
| 5 356× | accelerator-lowering-fma.f32 |
| 5 356× | accelerator-lowering-fma.f64 |
| 3 286× | *-lowering-*.f32 |
| 3 286× | *-lowering-*.f64 |
| 2 526× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 230 |
| 1 | 77 | 228 |
| 2 | 172 | 224 |
| 3 | 454 | 212 |
| 4 | 1159 | 212 |
| 5 | 2975 | 211 |
| 6 | 7453 | 211 |
| 0 | 8344 | 200 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (- 0 e) (/ -1 (/ (+ 1 (* e (cos v))) (sin v)))) |
(- 0 e) |
0 |
e |
(/ -1 (/ (+ 1 (* e (cos v))) (sin v))) |
-1 |
(/ (+ 1 (* e (cos v))) (sin v)) |
(+ 1 (* e (cos v))) |
1 |
(* e (cos v)) |
(cos v) |
v |
(sin v) |
v |
(/ 1 (/ (/ (+ 1 e) e) v)) |
1 |
(/ (/ (+ 1 e) e) v) |
(/ (+ 1 e) e) |
(+ 1 e) |
e |
v |
(* v (+ (/ e (+ e 1)) (* (* v v) (/ (* e (+ (/ (* e 1/2) (+ e 1)) -1/6)) (+ e 1))))) |
v |
(+ (/ e (+ e 1)) (* (* v v) (/ (* e (+ (/ (* e 1/2) (+ e 1)) -1/6)) (+ e 1)))) |
(/ e (+ e 1)) |
e |
(+ e 1) |
1 |
(* (* v v) (/ (* e (+ (/ (* e 1/2) (+ e 1)) -1/6)) (+ e 1))) |
(* v v) |
(/ (* e (+ (/ (* e 1/2) (+ e 1)) -1/6)) (+ e 1)) |
(* e (+ (/ (* e 1/2) (+ e 1)) -1/6)) |
(+ (/ (* e 1/2) (+ e 1)) -1/6) |
(/ (* e 1/2) (+ e 1)) |
(* e 1/2) |
1/2 |
-1/6 |
(/ e (/ 1 (sin v))) |
e |
(/ 1 (sin v)) |
1 |
(sin v) |
v |
| Outputs |
|---|
(* (- 0 e) (/ -1 (/ (+ 1 (* e (cos v))) (sin v)))) |
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) |
(- 0 e) |
(-.f64 #s(literal 0 binary64) e) |
0 |
#s(literal 0 binary64) |
e |
(/ -1 (/ (+ 1 (* e (cos v))) (sin v))) |
(/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) |
-1 |
#s(literal -1 binary64) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) |
(+ 1 (* e (cos v))) |
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
1 |
#s(literal 1 binary64) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(cos v) |
(cos.f64 v) |
v |
(sin v) |
(sin.f64 v) |
v |
(/ 1 (/ (/ (+ 1 e) e) v)) |
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)) |
1 |
#s(literal 1 binary64) |
(/ (/ (+ 1 e) e) v) |
(/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v) |
(/ (+ 1 e) e) |
(/.f64 (+.f64 e #s(literal 1 binary64)) e) |
(+ 1 e) |
(+.f64 e #s(literal 1 binary64)) |
e |
v |
(* v (+ (/ e (+ e 1)) (* (* v v) (/ (* e (+ (/ (* e 1/2) (+ e 1)) -1/6)) (+ e 1))))) |
(/.f64 (*.f64 e (-.f64 (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) #s(literal -1/6 binary64))) #s(literal -1 binary64))) (/.f64 (+.f64 e #s(literal 1 binary64)) v)) |
v |
(+ (/ e (+ e 1)) (* (* v v) (/ (* e (+ (/ (* e 1/2) (+ e 1)) -1/6)) (+ e 1)))) |
(/.f64 (*.f64 e (-.f64 (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) #s(literal -1/6 binary64))) #s(literal -1 binary64))) (+.f64 e #s(literal 1 binary64))) |
(/ e (+ e 1)) |
(/.f64 e (+.f64 e #s(literal 1 binary64))) |
e |
(+ e 1) |
(+.f64 e #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(* (* v v) (/ (* e (+ (/ (* e 1/2) (+ e 1)) -1/6)) (+ e 1))) |
(/.f64 (*.f64 e (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) |
(* v v) |
(*.f64 v v) |
(/ (* e (+ (/ (* e 1/2) (+ e 1)) -1/6)) (+ e 1)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) #s(literal -1/6 binary64)) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) |
(* e (+ (/ (* e 1/2) (+ e 1)) -1/6)) |
(*.f64 e (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) #s(literal -1/6 binary64))) |
(+ (/ (* e 1/2) (+ e 1)) -1/6) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) #s(literal -1/6 binary64)) |
(/ (* e 1/2) (+ e 1)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) |
(* e 1/2) |
(*.f64 e #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
-1/6 |
#s(literal -1/6 binary64) |
(/ e (/ 1 (sin v))) |
(*.f64 e (sin.f64 v)) |
e |
(/ 1 (sin v)) |
(/.f64 #s(literal 1 binary64) (sin.f64 v)) |
1 |
#s(literal 1 binary64) |
(sin v) |
(sin.f64 v) |
v |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 v) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1 binary64) (sin.f64 v)) |
| ✓ | accuracy | 99.7% | (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
| ✓ | accuracy | 100.0% | (/.f64 e (+.f64 e #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (+.f64 e #s(literal 1 binary64)))))) |
| ✓ | accuracy | 99.5% | (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) |
| ✓ | accuracy | 85.8% | (*.f64 (*.f64 v v) (/.f64 (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) e) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 #s(literal 1 binary64) e) e) |
| ✓ | accuracy | 99.7% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v) |
| ✓ | accuracy | 98.9% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)) |
| ✓ | accuracy | 99.9% | (*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))) |
| ✓ | accuracy | 99.9% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) |
| ✓ | accuracy | 99.8% | (*.f64 e (cos.f64 v)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) |
| 71.0ms | 256× | 0 | valid |
Compiled 234 to 34 computations (85.5% saved)
ival-div: 15.0ms (31.4% of total)ival-mult: 10.0ms (20.9% of total)ival-add: 6.0ms (12.5% of total)ival-cos: 6.0ms (12.5% of total)ival-sin: 5.0ms (10.5% of total)const: 4.0ms (8.4% of total)ival-sub: 1.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (- 0 e) (/ -1 (/ (+ 1 (* e (cos v))) (sin v))))> |
#<alt (/ -1 (/ (+ 1 (* e (cos v))) (sin v)))> |
#<alt (- 0 e)> |
#<alt (/ (+ 1 (* e (cos v))) (sin v))> |
#<alt (/ 1 (/ (/ (+ 1 e) e) v))> |
#<alt (/ (/ (+ 1 e) e) v)> |
#<alt (/ (+ 1 e) e)> |
#<alt (+ 1 e)> |
#<alt (+ (/ e (+ e 1)) (* (* v v) (/ (* e (+ (/ (* e 1/2) (+ e 1)) -1/6)) (+ e 1))))> |
#<alt (* v (+ (/ e (+ e 1)) (* (* v v) (/ (* e (+ (/ (* e 1/2) (+ e 1)) -1/6)) (+ e 1)))))> |
#<alt (/ e (+ e 1))> |
#<alt (+ e 1)> |
#<alt (/ e (/ 1 (sin v)))> |
#<alt (/ 1 (sin v))> |
#<alt (sin v)> |
#<alt (* e (cos v))> |
#<alt (* (* v v) (/ (* e (+ (/ (* e 1/2) (+ e 1)) -1/6)) (+ e 1)))> |
#<alt (* e (+ (/ (* e 1/2) (+ e 1)) -1/6))> |
| Outputs |
|---|
#<alt (* e (sin v))> |
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))> |
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))> |
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))> |
#<alt (/ (sin v) (cos v))> |
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))> |
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))> |
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))> |
#<alt (/ (sin v) (cos v))> |
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))> |
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))> |
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (* -1 (sin v))> |
#<alt (+ (* -1 (sin v)) (* e (* (cos v) (sin v))))> |
#<alt (+ (* -1 (sin v)) (* e (+ (* -1 (* e (* (pow (cos v) 2) (sin v)))) (* (cos v) (sin v)))))> |
#<alt (+ (* -1 (sin v)) (* e (+ (* e (+ (* -1 (* (pow (cos v) 2) (sin v))) (* e (* (pow (cos v) 3) (sin v))))) (* (cos v) (sin v)))))> |
#<alt (* -1 (/ (sin v) (* e (cos v))))> |
#<alt (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e)> |
#<alt (/ (+ (* -1 (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e)> |
#<alt (/ (+ (* -1 (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (+ (/ (sin v) (* e (pow (cos v) 2))) (/ (sin v) (* (pow e 3) (pow (cos v) 4)))))) e)> |
#<alt (* -1 (/ (sin v) (* e (cos v))))> |
#<alt (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) e))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) e))> |
#<alt (* -1 (/ v (+ 1 e)))> |
#<alt (* v (- (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (/ 1 (+ 1 e))))> |
#<alt (* v (- (* (pow v 2) (+ (* -1 (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))> |
#<alt (* v (- (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (+ (* 1/6 (/ 1 (+ 1 e))) (* (pow v 2) (+ (* -1 (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))))))) (/ 1 (+ 1 e))))> |
#<alt (* -1 (/ (sin v) (+ 1 (* e (cos v)))))> |
#<alt (* -1 (/ (sin v) (+ 1 (* e (cos v)))))> |
#<alt (* -1 (/ (sin v) (+ 1 (* e (cos v)))))> |
#<alt (* -1 (/ (sin v) (+ 1 (* e (cos v)))))> |
#<alt (* -1 (/ (sin v) (+ 1 (* e (cos v)))))> |
#<alt (* -1 (/ (sin v) (+ 1 (* e (cos v)))))> |
#<alt (* -1 (/ (sin v) (+ 1 (* e (cos v)))))> |
#<alt (* -1 (/ (sin v) (+ 1 (* e (cos v)))))> |
#<alt (* -1 e)> |
#<alt (* -1 e)> |
#<alt (* -1 e)> |
#<alt (* -1 e)> |
#<alt (* -1 e)> |
#<alt (* -1 e)> |
#<alt (* -1 e)> |
#<alt (* -1 e)> |
#<alt (* -1 e)> |
#<alt (* -1 e)> |
#<alt (* -1 e)> |
#<alt (* -1 e)> |
#<alt (/ 1 (sin v))> |
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))> |
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))> |
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))> |
#<alt (/ (* e (cos v)) (sin v))> |
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))> |
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))> |
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))> |
#<alt (/ (* e (cos v)) (sin v))> |
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))> |
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))> |
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))> |
#<alt (/ (+ 1 e) v)> |
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)> |
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)> |
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)> |
#<alt (/ (+ 1 (* e (cos v))) (sin v))> |
#<alt (/ (+ 1 (* e (cos v))) (sin v))> |
#<alt (/ (+ 1 (* e (cos v))) (sin v))> |
#<alt (/ (+ 1 (* e (cos v))) (sin v))> |
#<alt (/ (+ 1 (* e (cos v))) (sin v))> |
#<alt (/ (+ 1 (* e (cos v))) (sin v))> |
#<alt (/ (+ 1 (* e (cos v))) (sin v))> |
#<alt (/ (+ 1 (* e (cos v))) (sin v))> |
#<alt (* e v)> |
#<alt (* e (+ v (* -1 (* e v))))> |
#<alt (* e (+ v (* e (- (* e v) v))))> |
#<alt (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))> |
#<alt v> |
#<alt (+ v (* -1 (/ v e)))> |
#<alt (- (+ v (/ v (pow e 2))) (/ v e))> |
#<alt (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))> |
#<alt v> |
#<alt (+ v (* -1 (/ v e)))> |
#<alt (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))> |
#<alt (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ 1 (* e v))> |
#<alt (/ (+ (/ 1 v) (/ e v)) e)> |
#<alt (/ (+ (/ 1 v) (/ e v)) e)> |
#<alt (/ (+ (/ 1 v) (/ e v)) e)> |
#<alt (/ 1 v)> |
#<alt (+ (/ 1 v) (/ 1 (* e v)))> |
#<alt (+ (/ 1 v) (/ 1 (* e v)))> |
#<alt (+ (/ 1 v) (/ 1 (* e v)))> |
#<alt (/ 1 v)> |
#<alt (+ (/ 1 v) (/ 1 (* e v)))> |
#<alt (+ (/ 1 v) (/ 1 (* e v)))> |
#<alt (+ (/ 1 v) (/ 1 (* e v)))> |
#<alt (/ (+ 1 e) (* e v))> |
#<alt (/ (+ 1 e) (* e v))> |
#<alt (/ (+ 1 e) (* e v))> |
#<alt (/ (+ 1 e) (* e v))> |
#<alt (/ (+ 1 e) (* e v))> |
#<alt (/ (+ 1 e) (* e v))> |
#<alt (/ (+ 1 e) (* e v))> |
#<alt (/ (+ 1 e) (* e v))> |
#<alt (/ (+ 1 e) (* e v))> |
#<alt (/ (+ 1 e) (* e v))> |
#<alt (/ (+ 1 e) (* e v))> |
#<alt (/ (+ 1 e) (* e v))> |
#<alt (/ 1 e)> |
#<alt (/ (+ 1 e) e)> |
#<alt (/ (+ 1 e) e)> |
#<alt (/ (+ 1 e) e)> |
#<alt 1> |
#<alt (+ 1 (/ 1 e))> |
#<alt (+ 1 (/ 1 e))> |
#<alt (+ 1 (/ 1 e))> |
#<alt 1> |
#<alt (+ 1 (/ 1 e))> |
#<alt (+ 1 (/ 1 e))> |
#<alt (+ 1 (/ 1 e))> |
#<alt 1> |
#<alt (+ 1 e)> |
#<alt (+ 1 e)> |
#<alt (+ 1 e)> |
#<alt e> |
#<alt (* e (+ 1 (/ 1 e)))> |
#<alt (* e (+ 1 (/ 1 e)))> |
#<alt (* e (+ 1 (/ 1 e)))> |
#<alt e> |
#<alt (* e (+ 1 (/ 1 e)))> |
#<alt (* e (+ 1 (/ 1 e)))> |
#<alt (* e (+ 1 (/ 1 e)))> |
#<alt (* e (+ 1 (* -1/6 (pow v 2))))> |
#<alt (* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (* 1/2 (pow v 2)) (+ 1 (* -1/6 (pow v 2))))))))> |
#<alt (* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (+ (* 1/2 (pow v 2)) (* e (- (+ 1 (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2)))) (* 1/2 (pow v 2))))) (+ 1 (* -1/6 (pow v 2))))))))> |
#<alt (* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (+ (* 1/2 (pow v 2)) (* e (- (+ 1 (+ (* -1/2 (pow v 2)) (+ (* -1/6 (pow v 2)) (* e (- (pow v 2) (+ 1 (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2))))))))) (* 1/2 (pow v 2))))) (+ 1 (* -1/6 (pow v 2))))))))> |
#<alt (+ 1 (* 1/3 (pow v 2)))> |
#<alt (- (+ 1 (+ (* -1/2 (/ (pow v 2) e)) (* 1/3 (pow v 2)))) (+ (* 1/3 (/ (pow v 2) e)) (/ 1 e)))> |
#<alt (- (+ 1 (+ (* -1/2 (/ (pow v 2) e)) (+ (* 1/3 (/ (pow v 2) (pow e 2))) (+ (* 1/3 (pow v 2)) (+ (* 1/2 (/ (pow v 2) (pow e 2))) (/ 1 (pow e 2))))))) (+ (* -1/2 (/ (pow v 2) (pow e 2))) (+ (* 1/3 (/ (pow v 2) e)) (/ 1 e))))> |
#<alt (- (+ 1 (+ (* -1 (/ (pow v 2) (pow e 3))) (+ (* -1/2 (/ (pow v 2) e)) (+ (* 1/3 (/ (pow v 2) (pow e 2))) (+ (* 1/3 (pow v 2)) (+ (* 1/2 (/ (pow v 2) (pow e 2))) (/ 1 (pow e 2)))))))) (+ (* -1/2 (/ (pow v 2) (pow e 2))) (+ (* 1/3 (/ (pow v 2) e)) (+ (* 1/3 (/ (pow v 2) (pow e 3))) (+ (* 1/2 (/ (pow v 2) (pow e 3))) (+ (/ 1 e) (/ 1 (pow e 3))))))))> |
#<alt (+ 1 (* 1/3 (pow v 2)))> |
#<alt (+ 1 (+ (* -1 (/ (- (+ 1 (* 1/2 (pow v 2))) (* -1/3 (pow v 2))) e)) (* 1/3 (pow v 2))))> |
#<alt (+ 1 (+ (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (+ 1 (* 1/2 (pow v 2))) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))) e)) (* 1/2 (pow v 2)))) (* -1/3 (pow v 2))) e)) (* 1/3 (pow v 2))))> |
#<alt (+ 1 (+ (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (+ 1 (* 1/2 (pow v 2))) (* -1 (- (* 1/2 (pow v 2)) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))))) e)) (* 1/2 (pow v 2)))) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))) e)) (* 1/2 (pow v 2)))) (* -1/3 (pow v 2))) e)) (* 1/3 (pow v 2))))> |
#<alt (/ e (+ 1 e))> |
#<alt (+ (/ e (+ 1 e)) (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)))> |
#<alt (+ (/ e (+ 1 e)) (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)))> |
#<alt (+ (/ e (+ 1 e)) (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)))> |
#<alt (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))> |
#<alt (* (pow v 2) (+ (/ e (* (pow v 2) (+ 1 e))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))> |
#<alt (* (pow v 2) (+ (/ e (* (pow v 2) (+ 1 e))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))> |
#<alt (* (pow v 2) (+ (/ e (* (pow v 2) (+ 1 e))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))> |
#<alt (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))> |
#<alt (* (pow v 2) (+ (/ e (* (pow v 2) (+ 1 e))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))> |
#<alt (* (pow v 2) (+ (/ e (* (pow v 2) (+ 1 e))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))> |
#<alt (* (pow v 2) (+ (/ e (* (pow v 2) (+ 1 e))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (* v (+ (/ e (+ 1 e)) (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))))> |
#<alt (* v (+ (/ e (+ 1 e)) (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))))> |
#<alt (* v (+ (/ e (+ 1 e)) (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))))> |
#<alt (/ (* e (* (pow v 3) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))> |
#<alt (* (pow v 3) (+ (/ e (* (pow v 2) (+ 1 e))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))> |
#<alt (* (pow v 3) (+ (/ e (* (pow v 2) (+ 1 e))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))> |
#<alt (* (pow v 3) (+ (/ e (* (pow v 2) (+ 1 e))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))> |
#<alt (/ (* e (* (pow v 3) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))> |
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (* (pow v 2) (+ 1 e)))) (* -1 (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))))> |
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (* (pow v 2) (+ 1 e)))) (* -1 (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))))> |
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (* (pow v 2) (+ 1 e)))) (* -1 (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))))> |
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))> |
#<alt (* e (+ (* e (* v (- (* 1/2 (pow v 2)) (+ 1 (* -1/6 (pow v 2)))))) (* v (+ 1 (* -1/6 (pow v 2))))))> |
#<alt (* e (+ (* e (+ (* e (* v (- (+ 1 (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2)))) (* 1/2 (pow v 2))))) (* v (- (* 1/2 (pow v 2)) (+ 1 (* -1/6 (pow v 2))))))) (* v (+ 1 (* -1/6 (pow v 2))))))> |
#<alt (* e (+ (* e (+ (* e (+ (* e (* v (- (pow v 2) (+ 1 (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2))))))) (* v (- (+ 1 (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2)))) (* 1/2 (pow v 2)))))) (* v (- (* 1/2 (pow v 2)) (+ 1 (* -1/6 (pow v 2))))))) (* v (+ 1 (* -1/6 (pow v 2))))))> |
#<alt (* v (+ 1 (* 1/3 (pow v 2))))> |
#<alt (+ (* v (+ 1 (* 1/3 (pow v 2)))) (/ (* v (- (* -1/2 (pow v 2)) (+ 1 (* 1/3 (pow v 2))))) e))> |
#<alt (+ (* v (+ 1 (* 1/3 (pow v 2)))) (+ (/ (* v (- (* -1/2 (pow v 2)) (+ 1 (* 1/3 (pow v 2))))) e) (/ (* v (- (+ 1 (+ (* 1/3 (pow v 2)) (* 1/2 (pow v 2)))) (* -1/2 (pow v 2)))) (pow e 2))))> |
#<alt (+ (* v (+ 1 (* 1/3 (pow v 2)))) (+ (/ (* v (- (* -1 (pow v 2)) (+ 1 (+ (* 1/3 (pow v 2)) (* 1/2 (pow v 2)))))) (pow e 3)) (+ (/ (* v (- (* -1/2 (pow v 2)) (+ 1 (* 1/3 (pow v 2))))) e) (/ (* v (- (+ 1 (+ (* 1/3 (pow v 2)) (* 1/2 (pow v 2)))) (* -1/2 (pow v 2)))) (pow e 2)))))> |
#<alt (* v (+ 1 (* 1/3 (pow v 2))))> |
#<alt (+ (* -1 (/ (* v (- (+ 1 (* 1/2 (pow v 2))) (* -1/3 (pow v 2)))) e)) (* v (+ 1 (* 1/3 (pow v 2)))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (* v (- (+ 1 (* 1/2 (pow v 2))) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2)))))) e)) (* v (- (+ 1 (* 1/2 (pow v 2))) (* -1/3 (pow v 2))))) e)) (* v (+ 1 (* 1/3 (pow v 2)))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* v (- (+ 1 (* 1/2 (pow v 2))) (* -1 (- (* 1/2 (pow v 2)) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2)))))))) e)) (* v (- (+ 1 (* 1/2 (pow v 2))) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))))) e)) (* v (- (+ 1 (* 1/2 (pow v 2))) (* -1/3 (pow v 2))))) e)) (* v (+ 1 (* 1/3 (pow v 2)))))> |
#<alt e> |
#<alt (* e (+ 1 (* -1 e)))> |
#<alt (* e (+ 1 (* e (- e 1))))> |
#<alt (* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))> |
#<alt 1> |
#<alt (- 1 (/ 1 e))> |
#<alt (- (+ 1 (/ 1 (pow e 2))) (/ 1 e))> |
#<alt (- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))> |
#<alt 1> |
#<alt (- 1 (/ 1 e))> |
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))> |
#<alt 1> |
#<alt (+ 1 e)> |
#<alt (+ 1 e)> |
#<alt (+ 1 e)> |
#<alt e> |
#<alt (* e (+ 1 (/ 1 e)))> |
#<alt (* e (+ 1 (/ 1 e)))> |
#<alt (* e (+ 1 (/ 1 e)))> |
#<alt e> |
#<alt (* e (+ 1 (/ 1 e)))> |
#<alt (* e (+ 1 (/ 1 e)))> |
#<alt (* e (+ 1 (/ 1 e)))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e v)> |
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))> |
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))> |
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (/ 1 v)> |
#<alt (/ (+ 1 (* 1/6 (pow v 2))) v)> |
#<alt (/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) v)> |
#<alt (/ (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) v)> |
#<alt (/ 1 (sin v))> |
#<alt (/ 1 (sin v))> |
#<alt (/ 1 (sin v))> |
#<alt (/ 1 (sin v))> |
#<alt (/ 1 (sin v))> |
#<alt (/ 1 (sin v))> |
#<alt (/ 1 (sin v))> |
#<alt (/ 1 (sin v))> |
#<alt v> |
#<alt (* v (+ 1 (* -1/6 (pow v 2))))> |
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))> |
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt e> |
#<alt (+ e (* -1/2 (* e (pow v 2))))> |
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))> |
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))> |
#<alt (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))> |
#<alt (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))> |
#<alt (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))> |
#<alt (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))> |
#<alt (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))> |
#<alt (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))> |
#<alt (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))> |
#<alt (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))> |
#<alt (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))> |
#<alt (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))> |
#<alt (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))> |
#<alt (* -1/6 (* e (pow v 2)))> |
#<alt (* e (+ (* -1/6 (pow v 2)) (* e (- (* 1/2 (pow v 2)) (* -1/6 (pow v 2))))))> |
#<alt (* e (+ (* -1/6 (pow v 2)) (* e (- (+ (* 1/2 (pow v 2)) (* e (- (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2))) (* 1/2 (pow v 2))))) (* -1/6 (pow v 2))))))> |
#<alt (* e (+ (* -1/6 (pow v 2)) (* e (- (+ (* 1/2 (pow v 2)) (* e (- (+ (* -1/2 (pow v 2)) (+ (* -1/6 (pow v 2)) (* e (- (pow v 2) (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2))))))) (* 1/2 (pow v 2))))) (* -1/6 (pow v 2))))))> |
#<alt (* 1/3 (pow v 2))> |
#<alt (- (+ (* -1/2 (/ (pow v 2) e)) (* 1/3 (pow v 2))) (* 1/3 (/ (pow v 2) e)))> |
#<alt (- (+ (* -1/2 (/ (pow v 2) e)) (+ (* 1/3 (/ (pow v 2) (pow e 2))) (+ (* 1/3 (pow v 2)) (* 1/2 (/ (pow v 2) (pow e 2)))))) (+ (* -1/2 (/ (pow v 2) (pow e 2))) (* 1/3 (/ (pow v 2) e))))> |
#<alt (- (+ (* -1 (/ (pow v 2) (pow e 3))) (+ (* -1/2 (/ (pow v 2) e)) (+ (* 1/3 (/ (pow v 2) (pow e 2))) (+ (* 1/3 (pow v 2)) (* 1/2 (/ (pow v 2) (pow e 2))))))) (+ (* -1/2 (/ (pow v 2) (pow e 2))) (+ (* 1/3 (/ (pow v 2) e)) (+ (* 1/3 (/ (pow v 2) (pow e 3))) (* 1/2 (/ (pow v 2) (pow e 3)))))))> |
#<alt (* 1/3 (pow v 2))> |
#<alt (+ (* -1 (/ (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))) e)) (* 1/3 (pow v 2)))> |
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (pow v 2)) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))) e)) (* 1/2 (pow v 2))) (* -1/3 (pow v 2))) e)) (* 1/3 (pow v 2)))> |
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (pow v 2)) (* -1 (- (* 1/2 (pow v 2)) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))))) e)) (* 1/2 (pow v 2))) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))) e)) (* 1/2 (pow v 2))) (* -1/3 (pow v 2))) e)) (* 1/3 (pow v 2)))> |
#<alt (* -1/6 e)> |
#<alt (* e (- (* 1/2 e) 1/6))> |
#<alt (* e (- (* e (+ 1/2 (* -1/2 e))) 1/6))> |
#<alt (* e (- (* e (+ 1/2 (* e (- (* 1/2 e) 1/2)))) 1/6))> |
#<alt (* 1/3 e)> |
#<alt (* e (- 1/3 (* 1/2 (/ 1 e))))> |
#<alt (* e (- (+ 1/3 (/ 1/2 (pow e 2))) (* 1/2 (/ 1 e))))> |
#<alt (* e (- (+ 1/3 (/ 1/2 (pow e 2))) (+ (* 1/2 (/ 1 e)) (* 1/2 (/ 1 (pow e 3))))))> |
#<alt (* 1/3 e)> |
#<alt (* -1 (* e (- (* 1/2 (/ 1 e)) 1/3)))> |
#<alt (* -1 (* e (- (* -1 (/ (- (* 1/2 (/ 1 e)) 1/2) e)) 1/3)))> |
#<alt (* -1 (* e (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 e)) 1/2) e)) 1/2) e)) 1/3)))> |
84 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | v | @ | -inf | (/ 1 (sin v)) |
| 2.0ms | e | @ | inf | (+ (/ e (+ e 1)) (* (* v v) (/ (* e (+ (/ (* e 1/2) (+ e 1)) -1/6)) (+ e 1)))) |
| 1.0ms | v | @ | 0 | (/ -1 (/ (+ 1 (* e (cos v))) (sin v))) |
| 1.0ms | v | @ | inf | (/ -1 (/ (+ 1 (* e (cos v))) (sin v))) |
| 1.0ms | v | @ | -inf | (/ -1 (/ (+ 1 (* e (cos v))) (sin v))) |
| 1× | batch-egg-rewrite |
| 5 982× | /-lowering-/.f32 |
| 5 982× | /-lowering-/.f64 |
| 5 724× | *-lowering-*.f32 |
| 5 724× | *-lowering-*.f64 |
| 3 978× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 164 |
| 1 | 209 | 160 |
| 2 | 1834 | 158 |
| 0 | 9263 | 149 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (- 0 e) (/ -1 (/ (+ 1 (* e (cos v))) (sin v)))) |
(/ -1 (/ (+ 1 (* e (cos v))) (sin v))) |
(- 0 e) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ 1 (/ (/ (+ 1 e) e) v)) |
(/ (/ (+ 1 e) e) v) |
(/ (+ 1 e) e) |
(+ 1 e) |
(+ (/ e (+ e 1)) (* (* v v) (/ (* e (+ (/ (* e 1/2) (+ e 1)) -1/6)) (+ e 1)))) |
(* v (+ (/ e (+ e 1)) (* (* v v) (/ (* e (+ (/ (* e 1/2) (+ e 1)) -1/6)) (+ e 1))))) |
(/ e (+ e 1)) |
(+ e 1) |
(/ e (/ 1 (sin v))) |
(/ 1 (sin v)) |
(sin v) |
(* e (cos v)) |
(* (* v v) (/ (* e (+ (/ (* e 1/2) (+ e 1)) -1/6)) (+ e 1))) |
(* e (+ (/ (* e 1/2) (+ e 1)) -1/6)) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal 0 binary64)) (*.f64 e (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))) |
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (*.f64 e (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))) (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v))))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 e e)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))) (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v))))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) e) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))) (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v))))) |
(fma.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 e (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal 0 binary64) (*.f64 e (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))) |
(neg.f64 (*.f64 e (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))) |
(neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) e)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) e))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) e)))) |
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) e)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 e (*.f64 e e)))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) (*.f64 e e))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 e e))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) e)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 e (*.f64 e e)))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v))) (*.f64 e e))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 e e))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v))) e)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (*.f64 e e))) #s(literal -1 binary64)) (*.f64 (*.f64 e e) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (*.f64 e e))) #s(literal 1 binary64)) (*.f64 (*.f64 e e) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) #s(literal -1 binary64)) (*.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) e)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) e) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) e))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) e)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (-.f64 #s(literal 0 binary64) (*.f64 e (*.f64 e e)))) (*.f64 e e)) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (-.f64 #s(literal 0 binary64) (*.f64 e e))) e) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (*.f64 e e))) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (*.f64 e e)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) e) |
(/.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) e)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (*.f64 e e))) #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 e e) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) #s(literal -1 binary64))) (neg.f64 (*.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) e))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) e) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 e (*.f64 e e))))) (neg.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) (*.f64 e e)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 e e)))) (neg.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) e))) |
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(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (+.f64 e #s(literal 1 binary64)) e))) #s(literal -1/36 binary64)) e) (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal 1/6 binary64))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 e (*.f64 e e)) (/.f64 (*.f64 (*.f64 e (*.f64 e e)) #s(literal 1/8 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (*.f64 (*.f64 e (*.f64 e e)) #s(literal -1/216 binary64)))) (neg.f64 (+.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (-.f64 (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64))) (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64))))) (neg.f64 (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (*.f64 e (+.f64 (/.f64 (*.f64 (*.f64 e (*.f64 e e)) #s(literal 1/8 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/216 binary64)))) (neg.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (+.f64 e #s(literal 1 binary64)) e))) (-.f64 #s(literal 1/36 binary64) (/.f64 (*.f64 (*.f64 e #s(literal 1/2 binary64)) #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (*.f64 e (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (+.f64 e #s(literal 1 binary64)) e))) #s(literal -1/36 binary64)))) (neg.f64 (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal 1/6 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 e (*.f64 e e)) #s(literal 1/8 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/216 binary64)) e)) (neg.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (+.f64 e #s(literal 1 binary64)) e))) (-.f64 #s(literal 1/36 binary64) (/.f64 (*.f64 (*.f64 e #s(literal 1/2 binary64)) #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (+.f64 e #s(literal 1 binary64)) e))) #s(literal -1/36 binary64)) e)) (neg.f64 (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal 1/6 binary64)))) |
(*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) |
(*.f64 (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64)) e) |
| 1× | egg-herbie |
| 12 180× | accelerator-lowering-fma.f32 |
| 12 180× | accelerator-lowering-fma.f64 |
| 5 390× | *-lowering-*.f32 |
| 5 390× | *-lowering-*.f64 |
| 4 304× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 653 | 4826 |
| 1 | 2083 | 4516 |
| 2 | 6398 | 4505 |
| 0 | 8177 | 4207 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(* -1 (sin v)) |
(+ (* -1 (sin v)) (* e (* (cos v) (sin v)))) |
(+ (* -1 (sin v)) (* e (+ (* -1 (* e (* (pow (cos v) 2) (sin v)))) (* (cos v) (sin v))))) |
(+ (* -1 (sin v)) (* e (+ (* e (+ (* -1 (* (pow (cos v) 2) (sin v))) (* e (* (pow (cos v) 3) (sin v))))) (* (cos v) (sin v))))) |
(* -1 (/ (sin v) (* e (cos v)))) |
(/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e) |
(/ (+ (* -1 (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e) |
(/ (+ (* -1 (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (+ (/ (sin v) (* e (pow (cos v) 2))) (/ (sin v) (* (pow e 3) (pow (cos v) 4)))))) e) |
(* -1 (/ (sin v) (* e (cos v)))) |
(* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) e)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) e)) |
(* -1 (/ v (+ 1 e))) |
(* v (- (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (/ 1 (+ 1 e)))) |
(* v (- (* (pow v 2) (+ (* -1 (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))) |
(* v (- (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (+ (* 1/6 (/ 1 (+ 1 e))) (* (pow v 2) (+ (* -1 (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))))))) (/ 1 (+ 1 e)))) |
(* -1 (/ (sin v) (+ 1 (* e (cos v))))) |
(* -1 (/ (sin v) (+ 1 (* e (cos v))))) |
(* -1 (/ (sin v) (+ 1 (* e (cos v))))) |
(* -1 (/ (sin v) (+ 1 (* e (cos v))))) |
(* -1 (/ (sin v) (+ 1 (* e (cos v))))) |
(* -1 (/ (sin v) (+ 1 (* e (cos v))))) |
(* -1 (/ (sin v) (+ 1 (* e (cos v))))) |
(* -1 (/ (sin v) (+ 1 (* e (cos v))))) |
(* -1 e) |
(* -1 e) |
(* -1 e) |
(* -1 e) |
(* -1 e) |
(* -1 e) |
(* -1 e) |
(* -1 e) |
(* -1 e) |
(* -1 e) |
(* -1 e) |
(* -1 e) |
(/ 1 (sin v)) |
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) |
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) |
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) |
(/ (* e (cos v)) (sin v)) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(/ (* e (cos v)) (sin v)) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(/ (+ 1 e) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(* e v) |
(* e (+ v (* -1 (* e v)))) |
(* e (+ v (* e (- (* e v) v)))) |
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))) |
v |
(+ v (* -1 (/ v e))) |
(- (+ v (/ v (pow e 2))) (/ v e)) |
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) |
v |
(+ v (* -1 (/ v e))) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ 1 (* e v)) |
(/ (+ (/ 1 v) (/ e v)) e) |
(/ (+ (/ 1 v) (/ e v)) e) |
(/ (+ (/ 1 v) (/ e v)) e) |
(/ 1 v) |
(+ (/ 1 v) (/ 1 (* e v))) |
(+ (/ 1 v) (/ 1 (* e v))) |
(+ (/ 1 v) (/ 1 (* e v))) |
(/ 1 v) |
(+ (/ 1 v) (/ 1 (* e v))) |
(+ (/ 1 v) (/ 1 (* e v))) |
(+ (/ 1 v) (/ 1 (* e v))) |
(/ (+ 1 e) (* e v)) |
(/ (+ 1 e) (* e v)) |
(/ (+ 1 e) (* e v)) |
(/ (+ 1 e) (* e v)) |
(/ (+ 1 e) (* e v)) |
(/ (+ 1 e) (* e v)) |
(/ (+ 1 e) (* e v)) |
(/ (+ 1 e) (* e v)) |
(/ (+ 1 e) (* e v)) |
(/ (+ 1 e) (* e v)) |
(/ (+ 1 e) (* e v)) |
(/ (+ 1 e) (* e v)) |
(/ 1 e) |
(/ (+ 1 e) e) |
(/ (+ 1 e) e) |
(/ (+ 1 e) e) |
1 |
(+ 1 (/ 1 e)) |
(+ 1 (/ 1 e)) |
(+ 1 (/ 1 e)) |
1 |
(+ 1 (/ 1 e)) |
(+ 1 (/ 1 e)) |
(+ 1 (/ 1 e)) |
1 |
(+ 1 e) |
(+ 1 e) |
(+ 1 e) |
e |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (/ 1 e))) |
e |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (* -1/6 (pow v 2)))) |
(* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (* 1/2 (pow v 2)) (+ 1 (* -1/6 (pow v 2)))))))) |
(* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (+ (* 1/2 (pow v 2)) (* e (- (+ 1 (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2)))) (* 1/2 (pow v 2))))) (+ 1 (* -1/6 (pow v 2)))))))) |
(* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (+ (* 1/2 (pow v 2)) (* e (- (+ 1 (+ (* -1/2 (pow v 2)) (+ (* -1/6 (pow v 2)) (* e (- (pow v 2) (+ 1 (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2))))))))) (* 1/2 (pow v 2))))) (+ 1 (* -1/6 (pow v 2)))))))) |
(+ 1 (* 1/3 (pow v 2))) |
(- (+ 1 (+ (* -1/2 (/ (pow v 2) e)) (* 1/3 (pow v 2)))) (+ (* 1/3 (/ (pow v 2) e)) (/ 1 e))) |
(- (+ 1 (+ (* -1/2 (/ (pow v 2) e)) (+ (* 1/3 (/ (pow v 2) (pow e 2))) (+ (* 1/3 (pow v 2)) (+ (* 1/2 (/ (pow v 2) (pow e 2))) (/ 1 (pow e 2))))))) (+ (* -1/2 (/ (pow v 2) (pow e 2))) (+ (* 1/3 (/ (pow v 2) e)) (/ 1 e)))) |
(- (+ 1 (+ (* -1 (/ (pow v 2) (pow e 3))) (+ (* -1/2 (/ (pow v 2) e)) (+ (* 1/3 (/ (pow v 2) (pow e 2))) (+ (* 1/3 (pow v 2)) (+ (* 1/2 (/ (pow v 2) (pow e 2))) (/ 1 (pow e 2)))))))) (+ (* -1/2 (/ (pow v 2) (pow e 2))) (+ (* 1/3 (/ (pow v 2) e)) (+ (* 1/3 (/ (pow v 2) (pow e 3))) (+ (* 1/2 (/ (pow v 2) (pow e 3))) (+ (/ 1 e) (/ 1 (pow e 3)))))))) |
(+ 1 (* 1/3 (pow v 2))) |
(+ 1 (+ (* -1 (/ (- (+ 1 (* 1/2 (pow v 2))) (* -1/3 (pow v 2))) e)) (* 1/3 (pow v 2)))) |
(+ 1 (+ (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (+ 1 (* 1/2 (pow v 2))) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))) e)) (* 1/2 (pow v 2)))) (* -1/3 (pow v 2))) e)) (* 1/3 (pow v 2)))) |
(+ 1 (+ (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (+ 1 (* 1/2 (pow v 2))) (* -1 (- (* 1/2 (pow v 2)) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))))) e)) (* 1/2 (pow v 2)))) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))) e)) (* 1/2 (pow v 2)))) (* -1/3 (pow v 2))) e)) (* 1/3 (pow v 2)))) |
(/ e (+ 1 e)) |
(+ (/ e (+ 1 e)) (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))) |
(+ (/ e (+ 1 e)) (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))) |
(+ (/ e (+ 1 e)) (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))) |
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)) |
(* (pow v 2) (+ (/ e (* (pow v 2) (+ 1 e))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e)))) |
(* (pow v 2) (+ (/ e (* (pow v 2) (+ 1 e))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e)))) |
(* (pow v 2) (+ (/ e (* (pow v 2) (+ 1 e))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e)))) |
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)) |
(* (pow v 2) (+ (/ e (* (pow v 2) (+ 1 e))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e)))) |
(* (pow v 2) (+ (/ e (* (pow v 2) (+ 1 e))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e)))) |
(* (pow v 2) (+ (/ e (* (pow v 2) (+ 1 e))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e)))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (/ e (+ 1 e)) (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)))) |
(* v (+ (/ e (+ 1 e)) (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)))) |
(* v (+ (/ e (+ 1 e)) (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)))) |
(/ (* e (* (pow v 3) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)) |
(* (pow v 3) (+ (/ e (* (pow v 2) (+ 1 e))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e)))) |
(* (pow v 3) (+ (/ e (* (pow v 2) (+ 1 e))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e)))) |
(* (pow v 3) (+ (/ e (* (pow v 2) (+ 1 e))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e)))) |
(/ (* e (* (pow v 3) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)) |
(* -1 (* (pow v 3) (+ (* -1 (/ e (* (pow v 2) (+ 1 e)))) (* -1 (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e)))))) |
(* -1 (* (pow v 3) (+ (* -1 (/ e (* (pow v 2) (+ 1 e)))) (* -1 (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e)))))) |
(* -1 (* (pow v 3) (+ (* -1 (/ e (* (pow v 2) (+ 1 e)))) (* -1 (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e)))))) |
(* e (* v (+ 1 (* -1/6 (pow v 2))))) |
(* e (+ (* e (* v (- (* 1/2 (pow v 2)) (+ 1 (* -1/6 (pow v 2)))))) (* v (+ 1 (* -1/6 (pow v 2)))))) |
(* e (+ (* e (+ (* e (* v (- (+ 1 (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2)))) (* 1/2 (pow v 2))))) (* v (- (* 1/2 (pow v 2)) (+ 1 (* -1/6 (pow v 2))))))) (* v (+ 1 (* -1/6 (pow v 2)))))) |
(* e (+ (* e (+ (* e (+ (* e (* v (- (pow v 2) (+ 1 (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2))))))) (* v (- (+ 1 (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2)))) (* 1/2 (pow v 2)))))) (* v (- (* 1/2 (pow v 2)) (+ 1 (* -1/6 (pow v 2))))))) (* v (+ 1 (* -1/6 (pow v 2)))))) |
(* v (+ 1 (* 1/3 (pow v 2)))) |
(+ (* v (+ 1 (* 1/3 (pow v 2)))) (/ (* v (- (* -1/2 (pow v 2)) (+ 1 (* 1/3 (pow v 2))))) e)) |
(+ (* v (+ 1 (* 1/3 (pow v 2)))) (+ (/ (* v (- (* -1/2 (pow v 2)) (+ 1 (* 1/3 (pow v 2))))) e) (/ (* v (- (+ 1 (+ (* 1/3 (pow v 2)) (* 1/2 (pow v 2)))) (* -1/2 (pow v 2)))) (pow e 2)))) |
(+ (* v (+ 1 (* 1/3 (pow v 2)))) (+ (/ (* v (- (* -1 (pow v 2)) (+ 1 (+ (* 1/3 (pow v 2)) (* 1/2 (pow v 2)))))) (pow e 3)) (+ (/ (* v (- (* -1/2 (pow v 2)) (+ 1 (* 1/3 (pow v 2))))) e) (/ (* v (- (+ 1 (+ (* 1/3 (pow v 2)) (* 1/2 (pow v 2)))) (* -1/2 (pow v 2)))) (pow e 2))))) |
(* v (+ 1 (* 1/3 (pow v 2)))) |
(+ (* -1 (/ (* v (- (+ 1 (* 1/2 (pow v 2))) (* -1/3 (pow v 2)))) e)) (* v (+ 1 (* 1/3 (pow v 2))))) |
(+ (* -1 (/ (+ (* -1 (/ (* v (- (+ 1 (* 1/2 (pow v 2))) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2)))))) e)) (* v (- (+ 1 (* 1/2 (pow v 2))) (* -1/3 (pow v 2))))) e)) (* v (+ 1 (* 1/3 (pow v 2))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* v (- (+ 1 (* 1/2 (pow v 2))) (* -1 (- (* 1/2 (pow v 2)) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2)))))))) e)) (* v (- (+ 1 (* 1/2 (pow v 2))) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))))) e)) (* v (- (+ 1 (* 1/2 (pow v 2))) (* -1/3 (pow v 2))))) e)) (* v (+ 1 (* 1/3 (pow v 2))))) |
e |
(* e (+ 1 (* -1 e))) |
(* e (+ 1 (* e (- e 1)))) |
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1)))) |
1 |
(- 1 (/ 1 e)) |
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e)) |
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3)))) |
1 |
(- 1 (/ 1 e)) |
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e))) |
1 |
(+ 1 e) |
(+ 1 e) |
(+ 1 e) |
e |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (/ 1 e))) |
e |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (/ 1 e))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e v) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(/ 1 v) |
(/ (+ 1 (* 1/6 (pow v 2))) v) |
(/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) v) |
(/ (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) v) |
(/ 1 (sin v)) |
(/ 1 (sin v)) |
(/ 1 (sin v)) |
(/ 1 (sin v)) |
(/ 1 (sin v)) |
(/ 1 (sin v)) |
(/ 1 (sin v)) |
(/ 1 (sin v)) |
v |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
e |
(+ e (* -1/2 (* e (pow v 2)))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)) |
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)) |
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)) |
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)) |
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)) |
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)) |
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)) |
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)) |
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)) |
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)) |
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)) |
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)) |
(* -1/6 (* e (pow v 2))) |
(* e (+ (* -1/6 (pow v 2)) (* e (- (* 1/2 (pow v 2)) (* -1/6 (pow v 2)))))) |
(* e (+ (* -1/6 (pow v 2)) (* e (- (+ (* 1/2 (pow v 2)) (* e (- (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2))) (* 1/2 (pow v 2))))) (* -1/6 (pow v 2)))))) |
(* e (+ (* -1/6 (pow v 2)) (* e (- (+ (* 1/2 (pow v 2)) (* e (- (+ (* -1/2 (pow v 2)) (+ (* -1/6 (pow v 2)) (* e (- (pow v 2) (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2))))))) (* 1/2 (pow v 2))))) (* -1/6 (pow v 2)))))) |
(* 1/3 (pow v 2)) |
(- (+ (* -1/2 (/ (pow v 2) e)) (* 1/3 (pow v 2))) (* 1/3 (/ (pow v 2) e))) |
(- (+ (* -1/2 (/ (pow v 2) e)) (+ (* 1/3 (/ (pow v 2) (pow e 2))) (+ (* 1/3 (pow v 2)) (* 1/2 (/ (pow v 2) (pow e 2)))))) (+ (* -1/2 (/ (pow v 2) (pow e 2))) (* 1/3 (/ (pow v 2) e)))) |
(- (+ (* -1 (/ (pow v 2) (pow e 3))) (+ (* -1/2 (/ (pow v 2) e)) (+ (* 1/3 (/ (pow v 2) (pow e 2))) (+ (* 1/3 (pow v 2)) (* 1/2 (/ (pow v 2) (pow e 2))))))) (+ (* -1/2 (/ (pow v 2) (pow e 2))) (+ (* 1/3 (/ (pow v 2) e)) (+ (* 1/3 (/ (pow v 2) (pow e 3))) (* 1/2 (/ (pow v 2) (pow e 3))))))) |
(* 1/3 (pow v 2)) |
(+ (* -1 (/ (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))) e)) (* 1/3 (pow v 2))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (pow v 2)) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))) e)) (* 1/2 (pow v 2))) (* -1/3 (pow v 2))) e)) (* 1/3 (pow v 2))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (pow v 2)) (* -1 (- (* 1/2 (pow v 2)) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))))) e)) (* 1/2 (pow v 2))) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))) e)) (* 1/2 (pow v 2))) (* -1/3 (pow v 2))) e)) (* 1/3 (pow v 2))) |
(* -1/6 e) |
(* e (- (* 1/2 e) 1/6)) |
(* e (- (* e (+ 1/2 (* -1/2 e))) 1/6)) |
(* e (- (* e (+ 1/2 (* e (- (* 1/2 e) 1/2)))) 1/6)) |
(* 1/3 e) |
(* e (- 1/3 (* 1/2 (/ 1 e)))) |
(* e (- (+ 1/3 (/ 1/2 (pow e 2))) (* 1/2 (/ 1 e)))) |
(* e (- (+ 1/3 (/ 1/2 (pow e 2))) (+ (* 1/2 (/ 1 e)) (* 1/2 (/ 1 (pow e 3)))))) |
(* 1/3 e) |
(* -1 (* e (- (* 1/2 (/ 1 e)) 1/3))) |
(* -1 (* e (- (* -1 (/ (- (* 1/2 (/ 1 e)) 1/2) e)) 1/3))) |
(* -1 (* e (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 e)) 1/2) e)) 1/2) e)) 1/3))) |
| Outputs |
|---|
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(*.f64 e (-.f64 (sin.f64 v) (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(*.f64 e (+.f64 (sin.f64 v) (*.f64 e (*.f64 (sin.f64 v) (-.f64 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (cos.f64 v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(*.f64 e (+.f64 (sin.f64 v) (*.f64 e (-.f64 (*.f64 e (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (-.f64 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) (*.f64 (sin.f64 v) (cos.f64 v)))))) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) (-.f64 (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) e)) e)) |
(/ (* e v) (+ 1 e)) |
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64)))) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 e (*.f64 e #s(literal -1/2 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/120 binary64)) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 e (*.f64 e #s(literal -1/2 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 e (*.f64 e #s(literal -1/2 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/120 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/5040 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/720 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 e #s(literal 1/24 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 e (*.f64 e #s(literal -1/2 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 (+.f64 (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/120 binary64)) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 e (*.f64 e #s(literal -1/2 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64)) (/.f64 (*.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 e (*.f64 e #s(literal -1/2 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(* -1 (sin v)) |
(-.f64 #s(literal 0 binary64) (sin.f64 v)) |
(+ (* -1 (sin v)) (* e (* (cos v) (sin v)))) |
(*.f64 (sin.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))) |
(+ (* -1 (sin v)) (* e (+ (* -1 (* e (* (pow (cos v) 2) (sin v)))) (* (cos v) (sin v))))) |
(+.f64 (*.f64 (*.f64 (*.f64 e (sin.f64 v)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) e)) (*.f64 (sin.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))) |
(+ (* -1 (sin v)) (* e (+ (* e (+ (* -1 (* (pow (cos v) 2) (sin v))) (* e (* (pow (cos v) 3) (sin v))))) (* (cos v) (sin v))))) |
(+.f64 (*.f64 (*.f64 e e) (*.f64 (sin.f64 v) (-.f64 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) (*.f64 (sin.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))) |
(* -1 (/ (sin v) (* e (cos v)))) |
(/.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (*.f64 e (cos.f64 v)))) |
(/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e) |
(/.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (cos.f64 v))) e) |
(/ (+ (* -1 (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e) |
(/.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) e) |
(/ (+ (* -1 (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (+ (/ (sin v) (* e (pow (cos v) 2))) (/ (sin v) (* (pow e 3) (pow (cos v) 4)))))) e) |
(/.f64 (+.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (-.f64 (/.f64 (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64))) (/.f64 (sin.f64 v) (cos.f64 v)))) e) |
(* -1 (/ (sin v) (* e (cos v)))) |
(/.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (*.f64 e (cos.f64 v)))) |
(* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)) |
(/.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) e)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) e)) |
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e |
(* e (+ 1 (* -1 e))) |
(*.f64 e (-.f64 #s(literal 1 binary64) e)) |
(* e (+ 1 (* e (- e 1)))) |
(*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e (+.f64 e #s(literal -1 binary64))))) |
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1)))) |
(*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e (+.f64 #s(literal -1 binary64) (*.f64 e (-.f64 #s(literal 1 binary64) e)))))) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 e)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) |
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))) |
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 e)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) |
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) e)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) e)) e)) |
1 |
#s(literal 1 binary64) |
(+ 1 e) |
(+.f64 e #s(literal 1 binary64)) |
(+ 1 e) |
(+.f64 e #s(literal 1 binary64)) |
(+ 1 e) |
(+.f64 e #s(literal 1 binary64)) |
e |
(* e (+ 1 (/ 1 e))) |
(+.f64 e #s(literal 1 binary64)) |
(* e (+ 1 (/ 1 e))) |
(+.f64 e #s(literal 1 binary64)) |
(* e (+ 1 (/ 1 e))) |
(+.f64 e #s(literal 1 binary64)) |
e |
(* e (+ 1 (/ 1 e))) |
(+.f64 e #s(literal 1 binary64)) |
(* e (+ 1 (/ 1 e))) |
(+.f64 e #s(literal 1 binary64)) |
(* e (+ 1 (/ 1 e))) |
(+.f64 e #s(literal 1 binary64)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e v) |
(*.f64 e v) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
(*.f64 v (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 e (*.f64 v v))))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) |
(*.f64 v (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))) (*.f64 e #s(literal 1/120 binary64)))))))) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(/ 1 v) |
(/.f64 #s(literal 1 binary64) v) |
(/ (+ 1 (* 1/6 (pow v 2))) v) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v) |
(/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) v) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v #s(literal 7/360 binary64)))))) v) |
(/ (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) v) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 v v) #s(literal 31/15120 binary64)))))))) v) |
(/ 1 (sin v)) |
(/.f64 #s(literal 1 binary64) (sin.f64 v)) |
(/ 1 (sin v)) |
(/.f64 #s(literal 1 binary64) (sin.f64 v)) |
(/ 1 (sin v)) |
(/.f64 #s(literal 1 binary64) (sin.f64 v)) |
(/ 1 (sin v)) |
(/.f64 #s(literal 1 binary64) (sin.f64 v)) |
(/ 1 (sin v)) |
(/.f64 #s(literal 1 binary64) (sin.f64 v)) |
(/ 1 (sin v)) |
(/.f64 #s(literal 1 binary64) (sin.f64 v)) |
(/ 1 (sin v)) |
(/.f64 #s(literal 1 binary64) (sin.f64 v)) |
(/ 1 (sin v)) |
(/.f64 #s(literal 1 binary64) (sin.f64 v)) |
v |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) |
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) |
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) |
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))))))))) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
e |
(+ e (* -1/2 (* e (pow v 2)))) |
(+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/2 binary64)))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) |
(+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 e (*.f64 v v)))))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))) |
(+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal -1/720 binary64) (*.f64 e (*.f64 v v)))))))) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)) |
(/.f64 (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (+.f64 e #s(literal 1 binary64))) |
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)) |
(/.f64 (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (+.f64 e #s(literal 1 binary64))) |
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)) |
(/.f64 (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (+.f64 e #s(literal 1 binary64))) |
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)) |
(/.f64 (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (+.f64 e #s(literal 1 binary64))) |
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)) |
(/.f64 (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (+.f64 e #s(literal 1 binary64))) |
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)) |
(/.f64 (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (+.f64 e #s(literal 1 binary64))) |
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)) |
(/.f64 (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (+.f64 e #s(literal 1 binary64))) |
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)) |
(/.f64 (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (+.f64 e #s(literal 1 binary64))) |
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)) |
(/.f64 (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (+.f64 e #s(literal 1 binary64))) |
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)) |
(/.f64 (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (+.f64 e #s(literal 1 binary64))) |
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)) |
(/.f64 (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (+.f64 e #s(literal 1 binary64))) |
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)) |
(/.f64 (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (+.f64 e #s(literal 1 binary64))) |
(* -1/6 (* e (pow v 2))) |
(*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) |
(* e (+ (* -1/6 (pow v 2)) (* e (- (* 1/2 (pow v 2)) (* -1/6 (pow v 2)))))) |
(*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 (*.f64 e (*.f64 v v)) #s(literal 2/3 binary64)))) |
(* e (+ (* -1/6 (pow v 2)) (* e (- (+ (* 1/2 (pow v 2)) (* e (- (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2))) (* 1/2 (pow v 2))))) (* -1/6 (pow v 2)))))) |
(*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 e (+.f64 (*.f64 e (*.f64 (*.f64 v v) #s(literal -7/6 binary64))) (*.f64 (*.f64 v v) #s(literal 2/3 binary64)))))) |
(* e (+ (* -1/6 (pow v 2)) (* e (- (+ (* 1/2 (pow v 2)) (* e (- (+ (* -1/2 (pow v 2)) (+ (* -1/6 (pow v 2)) (* e (- (pow v 2) (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2))))))) (* 1/2 (pow v 2))))) (* -1/6 (pow v 2)))))) |
(*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 e (+.f64 (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) #s(literal -2/3 binary64)) (*.f64 e (+.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 2/3 binary64))))))) (*.f64 (*.f64 v v) #s(literal 2/3 binary64)))))) |
(* 1/3 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal 1/3 binary64)) |
(- (+ (* -1/2 (/ (pow v 2) e)) (* 1/3 (pow v 2))) (* 1/3 (/ (pow v 2) e))) |
(+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -1/2 binary64)) e) (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 v v) (/.f64 (*.f64 v v) e)))) |
(- (+ (* -1/2 (/ (pow v 2) e)) (+ (* 1/3 (/ (pow v 2) (pow e 2))) (+ (* 1/3 (pow v 2)) (* 1/2 (/ (pow v 2) (pow e 2)))))) (+ (* -1/2 (/ (pow v 2) (pow e 2))) (* 1/3 (/ (pow v 2) e)))) |
(+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -1/2 binary64)) e) (+.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (/.f64 (*.f64 v v) e) e) (*.f64 v v))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 v v) e) e)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 v v) e) e)) (/.f64 (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))))) |
(- (+ (* -1 (/ (pow v 2) (pow e 3))) (+ (* -1/2 (/ (pow v 2) e)) (+ (* 1/3 (/ (pow v 2) (pow e 2))) (+ (* 1/3 (pow v 2)) (* 1/2 (/ (pow v 2) (pow e 2))))))) (+ (* -1/2 (/ (pow v 2) (pow e 2))) (+ (* 1/3 (/ (pow v 2) e)) (+ (* 1/3 (/ (pow v 2) (pow e 3))) (* 1/2 (/ (pow v 2) (pow e 3))))))) |
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 v v) e) e)) (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (/.f64 (*.f64 v v) e) e) (*.f64 v v)))) (-.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -1/2 binary64)) e) (/.f64 (*.f64 v v) (*.f64 e (*.f64 e e))))) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 v v) e) e)) (/.f64 (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e)) (/.f64 (*.f64 (*.f64 v v) #s(literal 5/6 binary64)) (*.f64 e (*.f64 e e))))) |
(* 1/3 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal 1/3 binary64)) |
(+ (* -1 (/ (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))) e)) (* 1/3 (pow v 2))) |
(+.f64 (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal -5/6 binary64)) e)) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (pow v 2)) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))) e)) (* 1/2 (pow v 2))) (* -1/3 (pow v 2))) e)) (* 1/3 (pow v 2))) |
(+.f64 (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal 4/3 binary64)) e) (*.f64 (*.f64 v v) #s(literal -5/6 binary64))) e)) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (pow v 2)) (* -1 (- (* 1/2 (pow v 2)) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))))) e)) (* 1/2 (pow v 2))) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))) e)) (* 1/2 (pow v 2))) (* -1/3 (pow v 2))) e)) (* 1/3 (pow v 2))) |
(-.f64 (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 5/6 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 4/3 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 1/2 binary64)) (*.f64 (*.f64 v v) #s(literal 4/3 binary64))) e)) e)) e)) |
(* -1/6 e) |
(*.f64 e #s(literal -1/6 binary64)) |
(* e (- (* 1/2 e) 1/6)) |
(*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 1/2 binary64)))) |
(* e (- (* e (+ 1/2 (* -1/2 e))) 1/6)) |
(*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 e #s(literal -1/2 binary64)))))) |
(* e (- (* e (+ 1/2 (* e (- (* 1/2 e) 1/2)))) 1/6)) |
(*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 e (+.f64 #s(literal -1/2 binary64) (*.f64 e #s(literal 1/2 binary64)))))))) |
(* 1/3 e) |
(*.f64 e #s(literal 1/3 binary64)) |
(* e (- 1/3 (* 1/2 (/ 1 e)))) |
(*.f64 e (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) e))) |
(* e (- (+ 1/3 (/ 1/2 (pow e 2))) (* 1/2 (/ 1 e)))) |
(*.f64 e (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) e)) e))) |
(* e (- (+ 1/3 (/ 1/2 (pow e 2))) (+ (* 1/2 (/ 1 e)) (* 1/2 (/ 1 (pow e 3)))))) |
(*.f64 e (+.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) e)) e) (/.f64 #s(literal 1/2 binary64) (*.f64 e (*.f64 e e)))))) |
(* 1/3 e) |
(*.f64 e #s(literal 1/3 binary64)) |
(* -1 (* e (- (* 1/2 (/ 1 e)) 1/3))) |
(*.f64 (-.f64 #s(literal 0 binary64) e) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) e))) |
(* -1 (* e (- (* -1 (/ (- (* 1/2 (/ 1 e)) 1/2) e)) 1/3))) |
(*.f64 (-.f64 #s(literal 0 binary64) e) (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) e)) e))) |
(* -1 (* e (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 e)) 1/2) e)) 1/2) e)) 1/3))) |
(*.f64 (-.f64 #s(literal 0 binary64) e) (-.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) e)) e)) e))) |
Compiled 45 238 to 4 950 computations (89.1% saved)
39 alts after pruning (35 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 572 | 24 | 1 596 |
| Fresh | 9 | 11 | 20 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1 585 | 39 | 1 624 |
| Status | Accuracy | Program |
|---|---|---|
| 98.7% | (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)) | |
| 66.7% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e)) | |
| 24.0% | (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) e) v) (*.f64 (*.f64 (*.f64 (*.f64 v v) e) (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) v))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) e) v) (+.f64 e #s(literal 1 binary64)))) | |
| 53.8% | (/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64))) | |
| 53.6% | (/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64))) | |
| ✓ | 98.3% | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64))) |
| 99.7% | (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) | |
| 54.1% | (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)) | |
| 55.1% | (/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) #s(literal 1 binary64))) v)) | |
| 54.0% | (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)) | |
| 55.0% | (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 v v) #s(literal 31/15120 binary64)))))))) v)) | |
| 54.9% | (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v #s(literal 7/360 binary64)))))) v)) | |
| 54.9% | (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v)) | |
| ✓ | 99.7% | (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) |
| 53.4% | (/.f64 e (/.f64 #s(literal 1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))))))))))) | |
| ✓ | 97.9% | (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
| 53.8% | (/.f64 e (/.f64 #s(literal 1 binary64) v)) | |
| ▶ | 53.2% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)) |
| 53.0% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v)) | |
| 47.7% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 e e))) e) v)) | |
| 97.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))) | |
| 53.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v))) | |
| 2.5% | (-.f64 v (/.f64 v e)) | |
| 68.4% | (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) e) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) #s(literal 1 binary64))) | |
| 66.7% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 #s(literal -1 binary64) (sin.f64 v)))) | |
| 98.3% | (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 (*.f64 e e) #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64))) | |
| 55.2% | (*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64)))))) v))) | |
| 98.2% | (*.f64 (sin.f64 v) e) | |
| ▶ | 99.8% | (*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))) |
| 53.8% | (*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) (/.f64 v (/.f64 #s(literal 1 binary64) (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64)))))))) | |
| ▶ | 53.6% | (*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))))) |
| ▶ | 53.8% | (*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64)))))) |
| 53.3% | (*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) | |
| 53.5% | (*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) | |
| 54.1% | (*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e))) | |
| 53.5% | (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) | |
| ▶ | 53.9% | (*.f64 e v) |
| 5.8% | (sin.f64 v) | |
| ✓ | 4.5% | v |
Compiled 1 250 to 764 computations (38.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) |
| ✓ | cost-diff | 256 | (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) |
| ✓ | cost-diff | 256 | (*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))))) |
| ✓ | cost-diff | 1280 | (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 e #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 e (+.f64 e #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64)))))) |
| ✓ | cost-diff | 256 | (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))))) |
| ✓ | cost-diff | 0 | (+.f64 e #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 e #s(literal 1 binary64)) v) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)) |
| ✓ | cost-diff | 0 | (*.f64 e v) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) |
| ✓ | cost-diff | 128 | (*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))) |
| 15 860× | accelerator-lowering-fma.f32 |
| 15 860× | accelerator-lowering-fma.f64 |
| 5 914× | *-lowering-*.f32 |
| 5 914× | *-lowering-*.f64 |
| 2 080× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 495 |
| 1 | 114 | 494 |
| 2 | 326 | 353 |
| 3 | 1267 | 325 |
| 4 | 5605 | 322 |
| 0 | 8593 | 308 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (neg e) (/ -1 (/ (+ 1 (* e (cos v))) (sin v)))) |
(neg e) |
e |
(/ -1 (/ (+ 1 (* e (cos v))) (sin v))) |
-1 |
(/ (+ 1 (* e (cos v))) (sin v)) |
(+ 1 (* e (cos v))) |
1 |
(* e (cos v)) |
(cos v) |
v |
(sin v) |
(* e v) |
e |
v |
(/ 1 (/ (/ (+ e 1) v) e)) |
1 |
(/ (/ (+ e 1) v) e) |
(/ (+ e 1) v) |
(+ e 1) |
e |
v |
(* v (+ (/ e (+ e 1)) (* (* v v) (/ (* e -1/6) (+ e 1))))) |
v |
(+ (/ e (+ e 1)) (* (* v v) (/ (* e -1/6) (+ e 1)))) |
(/ e (+ e 1)) |
e |
(+ e 1) |
1 |
(* (* v v) (/ (* e -1/6) (+ e 1))) |
(* v v) |
(/ (* e -1/6) (+ e 1)) |
(* e -1/6) |
-1/6 |
(* v (+ (/ e (+ e 1)) (* (* v v) (/ (/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))) (+ e 1))))) |
v |
(+ (/ e (+ e 1)) (* (* v v) (/ (/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))) (+ e 1)))) |
(/ e (+ e 1)) |
e |
(+ e 1) |
1 |
(* (* v v) (/ (/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))) (+ e 1))) |
(* v v) |
(/ (/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))) (+ e 1)) |
(/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))) |
(- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) |
(* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) |
(/ e (/ (+ e 1) (* e 1/2))) |
(/ (+ e 1) (* e 1/2)) |
(* e 1/2) |
1/2 |
(* (* e -1/6) (* e -1/6)) |
(* e -1/6) |
-1/6 |
(- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6)) |
| Outputs |
|---|
(* (neg e) (/ -1 (/ (+ 1 (* e (cos v))) (sin v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(neg e) |
(-.f64 #s(literal 0 binary64) e) |
e |
(/ -1 (/ (+ 1 (* e (cos v))) (sin v))) |
(/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) |
-1 |
#s(literal -1 binary64) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) |
(+ 1 (* e (cos v))) |
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
1 |
#s(literal 1 binary64) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(cos v) |
(cos.f64 v) |
v |
(sin v) |
(sin.f64 v) |
(* e v) |
(*.f64 e v) |
e |
v |
(/ 1 (/ (/ (+ e 1) v) e)) |
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)) |
1 |
#s(literal 1 binary64) |
(/ (/ (+ e 1) v) e) |
(/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e) |
(/ (+ e 1) v) |
(/.f64 (+.f64 e #s(literal 1 binary64)) v) |
(+ e 1) |
(+.f64 e #s(literal 1 binary64)) |
e |
v |
(* v (+ (/ e (+ e 1)) (* (* v v) (/ (* e -1/6) (+ e 1))))) |
(*.f64 v (*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 e (+.f64 e #s(literal 1 binary64))))) |
v |
(+ (/ e (+ e 1)) (* (* v v) (/ (* e -1/6) (+ e 1)))) |
(*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 e (+.f64 e #s(literal 1 binary64)))) |
(/ e (+ e 1)) |
(/.f64 e (+.f64 e #s(literal 1 binary64))) |
e |
(+ e 1) |
(+.f64 e #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(* (* v v) (/ (* e -1/6) (+ e 1))) |
(*.f64 (*.f64 e v) (*.f64 v (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) |
(* v v) |
(*.f64 v v) |
(/ (* e -1/6) (+ e 1)) |
(/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) |
(* e -1/6) |
(*.f64 e #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(* v (+ (/ e (+ e 1)) (* (* v v) (/ (/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))) (+ e 1))))) |
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/2 binary64)))))) e)) |
v |
(+ (/ e (+ e 1)) (* (* v v) (/ (/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))) (+ e 1)))) |
(+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 e (+.f64 #s(literal -1/6 binary64) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (*.f64 v (/.f64 v (+.f64 e #s(literal 1 binary64)))))) |
(/ e (+ e 1)) |
(/.f64 e (+.f64 e #s(literal 1 binary64))) |
e |
(+ e 1) |
(+.f64 e #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(* (* v v) (/ (/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))) (+ e 1))) |
(*.f64 (*.f64 e (+.f64 #s(literal -1/6 binary64) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (*.f64 v (/.f64 v (+.f64 e #s(literal 1 binary64))))) |
(* v v) |
(*.f64 v v) |
(/ (/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))) (+ e 1)) |
(/.f64 (*.f64 e (+.f64 #s(literal -1/6 binary64) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (+.f64 e #s(literal 1 binary64))) |
(/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))) |
(*.f64 e (+.f64 #s(literal -1/6 binary64) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/2 binary64))))) |
(- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) |
(*.f64 e (*.f64 e (+.f64 #s(literal -1/36 binary64) (/.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal 1/4 binary64)) (+.f64 e #s(literal 1 binary64))) (+.f64 e #s(literal 1 binary64)))))) |
(* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) |
(/.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal 1/4 binary64)) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) |
(/ e (/ (+ e 1) (* e 1/2))) |
(/.f64 (*.f64 e e) (/.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(/ (+ e 1) (* e 1/2)) |
(/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))) |
(* e 1/2) |
(*.f64 e #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(* (* e -1/6) (* e -1/6)) |
(*.f64 (*.f64 e e) #s(literal 1/36 binary64)) |
(* e -1/6) |
(*.f64 e #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6)) |
(*.f64 e (+.f64 #s(literal 1/6 binary64) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/2 binary64))))) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 e #s(literal -1/6 binary64)) |
| ✓ | accuracy | 85.8% | (*.f64 (*.f64 v v) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))) |
| ✓ | accuracy | 47.7% | (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) |
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64)))))) |
| ✓ | accuracy | 99.5% | (*.f64 e #s(literal -1/6 binary64)) |
| ✓ | accuracy | 85.8% | (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64)))) |
| ✓ | accuracy | 100.0% | (+.f64 e #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 e #s(literal 1 binary64)) v) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e) |
| ✓ | accuracy | 98.9% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)) |
| ✓ | accuracy | 100.0% | (*.f64 e v) |
| ✓ | accuracy | 99.9% | (*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))) |
| ✓ | accuracy | 99.9% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) |
| ✓ | accuracy | 99.8% | (*.f64 e (cos.f64 v)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) |
| 104.0ms | 256× | 0 | valid |
Compiled 511 to 40 computations (92.2% saved)
ival-add: 24.0ms (29.1% of total)ival-mult: 21.0ms (25.4% of total)ival-div: 17.0ms (20.6% of total)ival-sin: 6.0ms (7.3% of total)ival-cos: 6.0ms (7.3% of total)const: 4.0ms (4.8% of total)ival-sub: 2.0ms (2.4% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (neg e) (/ -1 (/ (+ 1 (* e (cos v))) (sin v))))> |
#<alt (/ -1 (/ (+ 1 (* e (cos v))) (sin v)))> |
#<alt (/ (+ 1 (* e (cos v))) (sin v))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (* e v)> |
#<alt (/ 1 (/ (/ (+ e 1) v) e))> |
#<alt (/ (/ (+ e 1) v) e)> |
#<alt (/ (+ e 1) v)> |
#<alt (+ e 1)> |
#<alt (+ (/ e (+ e 1)) (* (* v v) (/ (* e -1/6) (+ e 1))))> |
#<alt (* v (+ (/ e (+ e 1)) (* (* v v) (/ (* e -1/6) (+ e 1)))))> |
#<alt (/ e (+ e 1))> |
#<alt (/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6)))> |
#<alt (* v (+ (/ e (+ e 1)) (* (* v v) (/ (/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))) (+ e 1)))))> |
#<alt (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6)))> |
#<alt (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2))))> |
#<alt (* e (cos v))> |
#<alt (* (* v v) (/ (* e -1/6) (+ e 1)))> |
#<alt (* e -1/6)> |
#<alt (/ (* e -1/6) (+ e 1))> |
#<alt (* (* v v) (/ (/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))) (+ e 1)))> |
#<alt (* (* e -1/6) (* e -1/6))> |
| Outputs |
|---|
#<alt (* e (sin v))> |
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))> |
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))> |
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))> |
#<alt (/ (sin v) (cos v))> |
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))> |
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))> |
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))> |
#<alt (/ (sin v) (cos v))> |
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))> |
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))> |
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (* -1 (sin v))> |
#<alt (+ (* -1 (sin v)) (* e (* (cos v) (sin v))))> |
#<alt (+ (* -1 (sin v)) (* e (+ (* -1 (* e (* (pow (cos v) 2) (sin v)))) (* (cos v) (sin v)))))> |
#<alt (+ (* -1 (sin v)) (* e (+ (* e (+ (* -1 (* (pow (cos v) 2) (sin v))) (* e (* (pow (cos v) 3) (sin v))))) (* (cos v) (sin v)))))> |
#<alt (* -1 (/ (sin v) (* e (cos v))))> |
#<alt (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e)> |
#<alt (/ (+ (* -1 (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e)> |
#<alt (/ (+ (* -1 (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (+ (/ (sin v) (* e (pow (cos v) 2))) (/ (sin v) (* (pow e 3) (pow (cos v) 4)))))) e)> |
#<alt (* -1 (/ (sin v) (* e (cos v))))> |
#<alt (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) e))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) e))> |
#<alt (* -1 (/ v (+ 1 e)))> |
#<alt (* v (- (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (/ 1 (+ 1 e))))> |
#<alt (* v (- (* (pow v 2) (+ (* -1 (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))> |
#<alt (* v (- (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (+ (* 1/6 (/ 1 (+ 1 e))) (* (pow v 2) (+ (* -1 (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))))))) (/ 1 (+ 1 e))))> |
#<alt (* -1 (/ (sin v) (+ 1 (* e (cos v)))))> |
#<alt (* -1 (/ (sin v) (+ 1 (* e (cos v)))))> |
#<alt (* -1 (/ (sin v) (+ 1 (* e (cos v)))))> |
#<alt (* -1 (/ (sin v) (+ 1 (* e (cos v)))))> |
#<alt (* -1 (/ (sin v) (+ 1 (* e (cos v)))))> |
#<alt (* -1 (/ (sin v) (+ 1 (* e (cos v)))))> |
#<alt (* -1 (/ (sin v) (+ 1 (* e (cos v)))))> |
#<alt (* -1 (/ (sin v) (+ 1 (* e (cos v)))))> |
#<alt (/ 1 (sin v))> |
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))> |
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))> |
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))> |
#<alt (/ (* e (cos v)) (sin v))> |
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))> |
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))> |
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))> |
#<alt (/ (* e (cos v)) (sin v))> |
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))> |
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))> |
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))> |
#<alt (/ (+ 1 e) v)> |
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)> |
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)> |
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)> |
#<alt (/ (+ 1 (* e (cos v))) (sin v))> |
#<alt (/ (+ 1 (* e (cos v))) (sin v))> |
#<alt (/ (+ 1 (* e (cos v))) (sin v))> |
#<alt (/ (+ 1 (* e (cos v))) (sin v))> |
#<alt (/ (+ 1 (* e (cos v))) (sin v))> |
#<alt (/ (+ 1 (* e (cos v))) (sin v))> |
#<alt (/ (+ 1 (* e (cos v))) (sin v))> |
#<alt (/ (+ 1 (* e (cos v))) (sin v))> |
#<alt 1> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (* e (cos v))> |
#<alt (* e (+ (cos v) (/ 1 e)))> |
#<alt (* e (+ (cos v) (/ 1 e)))> |
#<alt (* e (+ (cos v) (/ 1 e)))> |
#<alt (* e (cos v))> |
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))> |
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))> |
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))> |
#<alt (+ 1 e)> |
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))> |
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))> |
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e (+ v (* -1 (* e v))))> |
#<alt (* e (+ v (* e (- (* e v) v))))> |
#<alt (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))> |
#<alt v> |
#<alt (+ v (* -1 (/ v e)))> |
#<alt (- (+ v (/ v (pow e 2))) (/ v e))> |
#<alt (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))> |
#<alt v> |
#<alt (+ v (* -1 (/ v e)))> |
#<alt (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))> |
#<alt (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ 1 (* e v))> |
#<alt (/ (+ (/ 1 v) (/ e v)) e)> |
#<alt (/ (+ (/ 1 v) (/ e v)) e)> |
#<alt (/ (+ (/ 1 v) (/ e v)) e)> |
#<alt (/ 1 v)> |
#<alt (+ (/ 1 v) (/ 1 (* e v)))> |
#<alt (+ (/ 1 v) (/ 1 (* e v)))> |
#<alt (+ (/ 1 v) (/ 1 (* e v)))> |
#<alt (/ 1 v)> |
#<alt (+ (/ 1 v) (/ 1 (* e v)))> |
#<alt (+ (/ 1 v) (/ 1 (* e v)))> |
#<alt (+ (/ 1 v) (/ 1 (* e v)))> |
#<alt (/ (+ 1 e) (* e v))> |
#<alt (/ (+ 1 e) (* e v))> |
#<alt (/ (+ 1 e) (* e v))> |
#<alt (/ (+ 1 e) (* e v))> |
#<alt (/ (+ 1 e) (* e v))> |
#<alt (/ (+ 1 e) (* e v))> |
#<alt (/ (+ 1 e) (* e v))> |
#<alt (/ (+ 1 e) (* e v))> |
#<alt (/ (+ 1 e) (* e v))> |
#<alt (/ (+ 1 e) (* e v))> |
#<alt (/ (+ 1 e) (* e v))> |
#<alt (/ (+ 1 e) (* e v))> |
#<alt (/ 1 v)> |
#<alt (+ (/ 1 v) (/ e v))> |
#<alt (+ (/ 1 v) (/ e v))> |
#<alt (+ (/ 1 v) (/ e v))> |
#<alt (/ e v)> |
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))> |
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))> |
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))> |
#<alt (/ e v)> |
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))> |
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))> |
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))> |
#<alt (/ (+ 1 e) v)> |
#<alt (/ (+ 1 e) v)> |
#<alt (/ (+ 1 e) v)> |
#<alt (/ (+ 1 e) v)> |
#<alt (/ (+ 1 e) v)> |
#<alt (/ (+ 1 e) v)> |
#<alt (/ (+ 1 e) v)> |
#<alt (/ (+ 1 e) v)> |
#<alt (/ (+ 1 e) v)> |
#<alt (/ (+ 1 e) v)> |
#<alt (/ (+ 1 e) v)> |
#<alt (/ (+ 1 e) v)> |
#<alt 1> |
#<alt (+ 1 e)> |
#<alt (+ 1 e)> |
#<alt (+ 1 e)> |
#<alt e> |
#<alt (* e (+ 1 (/ 1 e)))> |
#<alt (* e (+ 1 (/ 1 e)))> |
#<alt (* e (+ 1 (/ 1 e)))> |
#<alt e> |
#<alt (* e (+ 1 (/ 1 e)))> |
#<alt (* e (+ 1 (/ 1 e)))> |
#<alt (* e (+ 1 (/ 1 e)))> |
#<alt (* e (+ 1 (* -1/6 (pow v 2))))> |
#<alt (* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (* 1/6 (pow v 2)) 1)))))> |
#<alt (* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/6 (pow v 2))))) 1)))))> |
#<alt (* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (+ (* 1/6 (pow v 2)) (* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (* 1/6 (pow v 2)) 1)))))) 1)))))> |
#<alt (+ 1 (* -1/6 (pow v 2)))> |
#<alt (- (+ 1 (+ (* -1/6 (pow v 2)) (* 1/6 (/ (pow v 2) e)))) (/ 1 e))> |
#<alt (- (+ 1 (+ (* -1/6 (/ (pow v 2) (pow e 2))) (+ (* -1/6 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 (pow e 2)))))) (/ 1 e))> |
#<alt (- (+ 1 (+ (* -1/6 (/ (pow v 2) (pow e 2))) (+ (* -1/6 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (+ (* 1/6 (/ (pow v 2) (pow e 3))) (/ 1 (pow e 2))))))) (+ (/ 1 e) (/ 1 (pow e 3))))> |
#<alt (+ 1 (* -1/6 (pow v 2)))> |
#<alt (+ 1 (+ (* -1 (/ (+ 1 (* -1/6 (pow v 2))) e)) (* -1/6 (pow v 2))))> |
#<alt (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* -1/6 (pow v 2))) e)) (* -1/6 (pow v 2)))) e)) (* -1/6 (pow v 2))))> |
#<alt (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* -1/6 (pow v 2))) e)) (* -1/6 (pow v 2)))) e)) (* -1/6 (pow v 2)))) e)) (* -1/6 (pow v 2))))> |
#<alt (/ e (+ 1 e))> |
#<alt (+ (* -1/6 (/ (* e (pow v 2)) (+ 1 e))) (/ e (+ 1 e)))> |
#<alt (+ (* -1/6 (/ (* e (pow v 2)) (+ 1 e))) (/ e (+ 1 e)))> |
#<alt (+ (* -1/6 (/ (* e (pow v 2)) (+ 1 e))) (/ e (+ 1 e)))> |
#<alt (* -1/6 (/ (* e (pow v 2)) (+ 1 e)))> |
#<alt (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (/ e (* (pow v 2) (+ 1 e)))))> |
#<alt (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (/ e (* (pow v 2) (+ 1 e)))))> |
#<alt (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (/ e (* (pow v 2) (+ 1 e)))))> |
#<alt (* -1/6 (/ (* e (pow v 2)) (+ 1 e)))> |
#<alt (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (/ e (* (pow v 2) (+ 1 e)))))> |
#<alt (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (/ e (* (pow v 2) (+ 1 e)))))> |
#<alt (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (/ e (* (pow v 2) (+ 1 e)))))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (* v (+ (* -1/6 (/ (* e (pow v 2)) (+ 1 e))) (/ e (+ 1 e))))> |
#<alt (* v (+ (* -1/6 (/ (* e (pow v 2)) (+ 1 e))) (/ e (+ 1 e))))> |
#<alt (* v (+ (* -1/6 (/ (* e (pow v 2)) (+ 1 e))) (/ e (+ 1 e))))> |
#<alt (* -1/6 (/ (* e (pow v 3)) (+ 1 e)))> |
#<alt (* (pow v 3) (+ (* -1/6 (/ e (+ 1 e))) (/ e (* (pow v 2) (+ 1 e)))))> |
#<alt (* (pow v 3) (+ (* -1/6 (/ e (+ 1 e))) (/ e (* (pow v 2) (+ 1 e)))))> |
#<alt (* (pow v 3) (+ (* -1/6 (/ e (+ 1 e))) (/ e (* (pow v 2) (+ 1 e)))))> |
#<alt (* -1/6 (/ (* e (pow v 3)) (+ 1 e)))> |
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (* (pow v 2) (+ 1 e)))) (* 1/6 (/ e (+ 1 e))))))> |
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (* (pow v 2) (+ 1 e)))) (* 1/6 (/ e (+ 1 e))))))> |
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (* (pow v 2) (+ 1 e)))) (* 1/6 (/ e (+ 1 e))))))> |
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))> |
#<alt (* e (+ (* e (* v (- (* 1/6 (pow v 2)) 1))) (* v (+ 1 (* -1/6 (pow v 2))))))> |
#<alt (* e (+ (* e (+ (* e (* v (+ 1 (* -1/6 (pow v 2))))) (* v (- (* 1/6 (pow v 2)) 1)))) (* v (+ 1 (* -1/6 (pow v 2))))))> |
#<alt (* e (+ (* e (+ (* e (+ (* e (* v (- (* 1/6 (pow v 2)) 1))) (* v (+ 1 (* -1/6 (pow v 2)))))) (* v (- (* 1/6 (pow v 2)) 1)))) (* v (+ 1 (* -1/6 (pow v 2))))))> |
#<alt (* v (+ 1 (* -1/6 (pow v 2))))> |
#<alt (+ (* v (+ 1 (* -1/6 (pow v 2)))) (/ (* v (- (* 1/6 (pow v 2)) 1)) e))> |
#<alt (+ (* v (+ 1 (* -1/6 (pow v 2)))) (+ (/ (* v (+ 1 (* -1/6 (pow v 2)))) (pow e 2)) (/ (* v (- (* 1/6 (pow v 2)) 1)) e)))> |
#<alt (+ (* v (+ 1 (* -1/6 (pow v 2)))) (+ (/ (* v (+ 1 (* -1/6 (pow v 2)))) (pow e 2)) (+ (/ (* v (- (* 1/6 (pow v 2)) 1)) e) (/ (* v (- (* 1/6 (pow v 2)) 1)) (pow e 3)))))> |
#<alt (* v (+ 1 (* -1/6 (pow v 2))))> |
#<alt (+ (* -1 (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)) (* v (+ 1 (* -1/6 (pow v 2)))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)) (* v (+ 1 (* -1/6 (pow v 2))))) e)) (* v (+ 1 (* -1/6 (pow v 2)))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)) (* v (+ 1 (* -1/6 (pow v 2))))) e)) (* v (+ 1 (* -1/6 (pow v 2))))) e)) (* v (+ 1 (* -1/6 (pow v 2)))))> |
#<alt e> |
#<alt (* e (+ 1 (* -1 e)))> |
#<alt (* e (+ 1 (* e (- e 1))))> |
#<alt (* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))> |
#<alt 1> |
#<alt (- 1 (/ 1 e))> |
#<alt (- (+ 1 (/ 1 (pow e 2))) (/ 1 e))> |
#<alt (- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))> |
#<alt 1> |
#<alt (- 1 (/ 1 e))> |
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))> |
#<alt (* -1/6 e)> |
#<alt (* e (- (* 1/2 e) 1/6))> |
#<alt (* e (- (* e (+ 1/2 (* -1/2 e))) 1/6))> |
#<alt (* e (- (* e (+ 1/2 (* e (- (* 1/2 e) 1/2)))) 1/6))> |
#<alt (* 1/3 e)> |
#<alt (* e (- 1/3 (* 1/2 (/ 1 e))))> |
#<alt (* e (- (+ 1/3 (/ 1/2 (pow e 2))) (* 1/2 (/ 1 e))))> |
#<alt (* e (- (+ 1/3 (/ 1/2 (pow e 2))) (+ (* 1/2 (/ 1 e)) (* 1/2 (/ 1 (pow e 3))))))> |
#<alt (* 1/3 e)> |
#<alt (* -1 (* e (- (* 1/2 (/ 1 e)) 1/3)))> |
#<alt (* -1 (* e (- (* -1 (/ (- (* 1/2 (/ 1 e)) 1/2) e)) 1/3)))> |
#<alt (* -1 (* e (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 e)) 1/2) e)) 1/2) e)) 1/3)))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (* v (+ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (* (pow (+ 1 e) 3) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))) (* 1/36 (/ (pow e 2) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))))) (/ e (+ 1 e))))> |
#<alt (* v (+ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (* (pow (+ 1 e) 3) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))) (* 1/36 (/ (pow e 2) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))))) (/ e (+ 1 e))))> |
#<alt (* v (+ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (* (pow (+ 1 e) 3) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))) (* 1/36 (/ (pow e 2) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))))) (/ e (+ 1 e))))> |
#<alt (* (pow v 3) (- (* 1/4 (/ (pow e 4) (* (pow (+ 1 e) 3) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))) (* 1/36 (/ (pow e 2) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e)))))))> |
#<alt (* (pow v 3) (- (+ (* 1/4 (/ (pow e 4) (* (pow (+ 1 e) 3) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))) (/ e (* (pow v 2) (+ 1 e)))) (* 1/36 (/ (pow e 2) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e)))))))> |
#<alt (* (pow v 3) (- (+ (* 1/4 (/ (pow e 4) (* (pow (+ 1 e) 3) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))) (/ e (* (pow v 2) (+ 1 e)))) (* 1/36 (/ (pow e 2) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e)))))))> |
#<alt (* (pow v 3) (- (+ (* 1/4 (/ (pow e 4) (* (pow (+ 1 e) 3) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))) (/ e (* (pow v 2) (+ 1 e)))) (* 1/36 (/ (pow e 2) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e)))))))> |
#<alt (* (pow v 3) (- (* 1/4 (/ (pow e 4) (* (pow (+ 1 e) 3) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))) (* 1/36 (/ (pow e 2) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e)))))))> |
#<alt (* -1 (* (pow v 3) (+ (* -1 (- (* 1/4 (/ (pow e 4) (* (pow (+ 1 e) 3) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))) (* 1/36 (/ (pow e 2) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))))) (* -1 (/ e (* (pow v 2) (+ 1 e)))))))> |
#<alt (* -1 (* (pow v 3) (+ (* -1 (- (* 1/4 (/ (pow e 4) (* (pow (+ 1 e) 3) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))) (* 1/36 (/ (pow e 2) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))))) (* -1 (/ e (* (pow v 2) (+ 1 e)))))))> |
#<alt (* -1 (* (pow v 3) (+ (* -1 (- (* 1/4 (/ (pow e 4) (* (pow (+ 1 e) 3) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))) (* 1/36 (/ (pow e 2) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))))) (* -1 (/ e (* (pow v 2) (+ 1 e)))))))> |
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))> |
#<alt (* e (+ (* -1 (* e (* v (+ 1 (* -2/3 (pow v 2)))))) (* v (+ 1 (* -1/6 (pow v 2))))))> |
#<alt (* e (+ (* e (+ (* -1 (* v (+ 1 (* -2/3 (pow v 2))))) (* e (* v (- (+ 1 (* 3/2 (pow v 2))) (* 8/3 (pow v 2))))))) (* v (+ 1 (* -1/6 (pow v 2))))))> |
#<alt (* e (+ (* e (+ (* -1 (* v (+ 1 (* -2/3 (pow v 2))))) (* e (+ (* e (* v (- (* -3 (pow v 2)) (+ 1 (* 4 (- (* 3/2 (pow v 2)) (* 8/3 (pow v 2)))))))) (* v (- (+ 1 (* 3/2 (pow v 2))) (* 8/3 (pow v 2)))))))) (* v (+ 1 (* -1/6 (pow v 2))))))> |
#<alt (* v (+ 1 (* 1/3 (pow v 2))))> |
#<alt (+ (* v (+ 1 (* 1/3 (pow v 2)))) (/ (* v (- (* -3/4 (pow v 2)) (+ 1 (* 1/12 (pow v 2))))) e))> |
#<alt (+ (* v (+ 1 (* 1/3 (pow v 2)))) (+ (/ (* v (- (* -3/4 (pow v 2)) (+ 1 (* 1/12 (pow v 2))))) e) (/ (* v (- (+ 1 (* 9/8 (pow v 2))) (* 1/4 (- (* -3/4 (pow v 2)) (* 1/12 (pow v 2)))))) (pow e 2))))> |
#<alt (+ (* v (+ 1 (* 1/3 (pow v 2)))) (+ (/ (* v (- (* -3/2 (pow v 2)) (+ 1 (* 1/4 (- (* 9/8 (pow v 2)) (* 1/4 (- (* -3/4 (pow v 2)) (* 1/12 (pow v 2))))))))) (pow e 3)) (+ (/ (* v (- (* -3/4 (pow v 2)) (+ 1 (* 1/12 (pow v 2))))) e) (/ (* v (- (+ 1 (* 9/8 (pow v 2))) (* 1/4 (- (* -3/4 (pow v 2)) (* 1/12 (pow v 2)))))) (pow e 2)))))> |
#<alt (* v (+ 1 (* 1/3 (pow v 2))))> |
#<alt (+ (* -1 (/ (* v (- (+ 1 (* 3/4 (pow v 2))) (* -1/12 (pow v 2)))) e)) (* v (+ 1 (* 1/3 (pow v 2)))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (* v (- (+ 1 (* 9/8 (pow v 2))) (* -1/4 (- (* 3/4 (pow v 2)) (* -1/12 (pow v 2)))))) e)) (* v (- (+ 1 (* 3/4 (pow v 2))) (* -1/12 (pow v 2))))) e)) (* v (+ 1 (* 1/3 (pow v 2)))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* v (- (+ 1 (* 3/2 (pow v 2))) (* -1/4 (- (* 9/8 (pow v 2)) (* -1/4 (- (* 3/4 (pow v 2)) (* -1/12 (pow v 2)))))))) e)) (* v (- (+ 1 (* 9/8 (pow v 2))) (* -1/4 (- (* 3/4 (pow v 2)) (* -1/12 (pow v 2))))))) e)) (* v (- (+ 1 (* 3/4 (pow v 2))) (* -1/12 (pow v 2))))) e)) (* v (+ 1 (* 1/3 (pow v 2)))))> |
#<alt (* -1/36 (pow e 2))> |
#<alt (* (pow e 2) (- (* 1/4 (pow e 2)) 1/36))> |
#<alt (* (pow e 2) (- (* (pow e 2) (+ 1/4 (* -1/2 e))) 1/36))> |
#<alt (* (pow e 2) (- (* (pow e 2) (+ 1/4 (* e (- (* 3/4 e) 1/2)))) 1/36))> |
#<alt (* 2/9 (pow e 2))> |
#<alt (* (pow e 2) (- 2/9 (* 1/2 (/ 1 e))))> |
#<alt (* (pow e 2) (- (+ 2/9 (/ 3/4 (pow e 2))) (* 1/2 (/ 1 e))))> |
#<alt (* (pow e 2) (- (+ 2/9 (/ 3/4 (pow e 2))) (+ (* 1/2 (/ 1 e)) (/ 1 (pow e 3)))))> |
#<alt (* 2/9 (pow e 2))> |
#<alt (* (pow e 2) (- 2/9 (* 1/2 (/ 1 e))))> |
#<alt (* (pow e 2) (+ 2/9 (* -1 (/ (- 1/2 (* 3/4 (/ 1 e))) e))))> |
#<alt (* (pow e 2) (+ 2/9 (* -1 (/ (+ 1/2 (* -1 (/ (- 3/4 (/ 1 e)) e))) e))))> |
#<alt (* 1/4 (pow e 4))> |
#<alt (* (pow e 4) (+ 1/4 (* -1/2 e)))> |
#<alt (* (pow e 4) (+ 1/4 (* e (- (* 3/4 e) 1/2))))> |
#<alt (* (pow e 4) (+ 1/4 (* e (- (* e (+ 3/4 (* -1 e))) 1/2))))> |
#<alt (* 1/4 (pow e 2))> |
#<alt (* (pow e 2) (- 1/4 (* 1/2 (/ 1 e))))> |
#<alt (* (pow e 2) (- (+ 1/4 (/ 3/4 (pow e 2))) (* 1/2 (/ 1 e))))> |
#<alt (* (pow e 2) (- (+ 1/4 (/ 3/4 (pow e 2))) (+ (* 1/2 (/ 1 e)) (/ 1 (pow e 3)))))> |
#<alt (* 1/4 (pow e 2))> |
#<alt (* (pow e 2) (- 1/4 (* 1/2 (/ 1 e))))> |
#<alt (* (pow e 2) (+ 1/4 (* -1 (/ (- 1/2 (* 3/4 (/ 1 e))) e))))> |
#<alt (* (pow e 2) (+ 1/4 (* -1 (/ (+ 1/2 (* -1 (/ (- 3/4 (/ 1 e)) e))) e))))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt e> |
#<alt (+ e (* -1/2 (* e (pow v 2))))> |
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))> |
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* -1/6 (/ (* e (pow v 2)) (+ 1 e)))> |
#<alt (* -1/6 (/ (* e (pow v 2)) (+ 1 e)))> |
#<alt (* -1/6 (/ (* e (pow v 2)) (+ 1 e)))> |
#<alt (* -1/6 (/ (* e (pow v 2)) (+ 1 e)))> |
#<alt (* -1/6 (/ (* e (pow v 2)) (+ 1 e)))> |
#<alt (* -1/6 (/ (* e (pow v 2)) (+ 1 e)))> |
#<alt (* -1/6 (/ (* e (pow v 2)) (+ 1 e)))> |
#<alt (* -1/6 (/ (* e (pow v 2)) (+ 1 e)))> |
#<alt (* -1/6 (/ (* e (pow v 2)) (+ 1 e)))> |
#<alt (* -1/6 (/ (* e (pow v 2)) (+ 1 e)))> |
#<alt (* -1/6 (/ (* e (pow v 2)) (+ 1 e)))> |
#<alt (* -1/6 (/ (* e (pow v 2)) (+ 1 e)))> |
#<alt (* -1/6 (* e (pow v 2)))> |
#<alt (* e (+ (* -1/6 (pow v 2)) (* 1/6 (* e (pow v 2)))))> |
#<alt (* e (+ (* -1/6 (pow v 2)) (* e (+ (* -1/6 (* e (pow v 2))) (* 1/6 (pow v 2))))))> |
#<alt (* e (+ (* -1/6 (pow v 2)) (* e (+ (* 1/6 (pow v 2)) (* e (+ (* -1/6 (pow v 2)) (* 1/6 (* e (pow v 2)))))))))> |
#<alt (* -1/6 (pow v 2))> |
#<alt (+ (* -1/6 (pow v 2)) (* 1/6 (/ (pow v 2) e)))> |
#<alt (+ (* -1/6 (/ (pow v 2) (pow e 2))) (+ (* -1/6 (pow v 2)) (* 1/6 (/ (pow v 2) e))))> |
#<alt (+ (* -1/6 (/ (pow v 2) (pow e 2))) (+ (* -1/6 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (* 1/6 (/ (pow v 2) (pow e 3))))))> |
#<alt (* -1/6 (pow v 2))> |
#<alt (+ (* -1/6 (pow v 2)) (* 1/6 (/ (pow v 2) e)))> |
#<alt (+ (* -1 (/ (+ (* -1/6 (pow v 2)) (* 1/6 (/ (pow v 2) e))) e)) (* -1/6 (pow v 2)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow v 2)) (* 1/6 (/ (pow v 2) e))) e)) (* -1/6 (pow v 2))) e)) (* -1/6 (pow v 2)))> |
#<alt (* -1/6 e)> |
#<alt (* -1/6 e)> |
#<alt (* -1/6 e)> |
#<alt (* -1/6 e)> |
#<alt (* -1/6 e)> |
#<alt (* -1/6 e)> |
#<alt (* -1/6 e)> |
#<alt (* -1/6 e)> |
#<alt (* -1/6 e)> |
#<alt (* -1/6 e)> |
#<alt (* -1/6 e)> |
#<alt (* -1/6 e)> |
#<alt (* -1/6 e)> |
#<alt (* e (- (* 1/6 e) 1/6))> |
#<alt (* e (- (* e (+ 1/6 (* -1/6 e))) 1/6))> |
#<alt (* e (- (* e (+ 1/6 (* e (- (* 1/6 e) 1/6)))) 1/6))> |
#<alt -1/6> |
#<alt (- (* 1/6 (/ 1 e)) 1/6)> |
#<alt (- (* 1/6 (/ 1 e)) (+ 1/6 (/ 1/6 (pow e 2))))> |
#<alt (- (+ (* 1/6 (/ 1 e)) (* 1/6 (/ 1 (pow e 3)))) (+ 1/6 (/ 1/6 (pow e 2))))> |
#<alt -1/6> |
#<alt (- (* 1/6 (/ 1 e)) 1/6)> |
#<alt (- (* -1 (/ (- (* 1/6 (/ 1 e)) 1/6) e)) 1/6)> |
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 e)) 1/6) e)) 1/6) e)) 1/6)> |
#<alt (/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))> |
#<alt (/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))> |
#<alt (/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))> |
#<alt (/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))> |
#<alt (/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))> |
#<alt (/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))> |
#<alt (/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))> |
#<alt (/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))> |
#<alt (/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))> |
#<alt (/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))> |
#<alt (/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))> |
#<alt (/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))> |
#<alt (* -1/6 (* e (pow v 2)))> |
#<alt (* e (+ (* -1/6 (pow v 2)) (* 2/3 (* e (pow v 2)))))> |
#<alt (* e (+ (* -1/6 (pow v 2)) (* e (- (* e (- (* 3/2 (pow v 2)) (* 8/3 (pow v 2)))) (* -2/3 (pow v 2))))))> |
#<alt (* e (+ (* -1/6 (pow v 2)) (* e (- (* e (- (+ (* 3/2 (pow v 2)) (* e (- (* -3 (pow v 2)) (* 4 (- (* 3/2 (pow v 2)) (* 8/3 (pow v 2))))))) (* 8/3 (pow v 2)))) (* -2/3 (pow v 2))))))> |
#<alt (* 1/3 (pow v 2))> |
#<alt (- (+ (* -3/4 (/ (pow v 2) e)) (* 1/3 (pow v 2))) (* 1/12 (/ (pow v 2) e)))> |
#<alt (- (+ (* -3/4 (/ (pow v 2) e)) (+ (* 1/3 (pow v 2)) (* 9/8 (/ (pow v 2) (pow e 2))))) (+ (* 1/12 (/ (pow v 2) e)) (* 1/4 (/ (- (* -3/4 (pow v 2)) (* 1/12 (pow v 2))) (pow e 2)))))> |
#<alt (- (+ (* -3/2 (/ (pow v 2) (pow e 3))) (+ (* -3/4 (/ (pow v 2) e)) (+ (* 1/3 (pow v 2)) (* 9/8 (/ (pow v 2) (pow e 2)))))) (+ (* 1/12 (/ (pow v 2) e)) (+ (* 1/4 (/ (- (* -3/4 (pow v 2)) (* 1/12 (pow v 2))) (pow e 2))) (* 1/4 (/ (- (* 9/8 (pow v 2)) (* 1/4 (- (* -3/4 (pow v 2)) (* 1/12 (pow v 2))))) (pow e 3))))))> |
#<alt (* 1/3 (pow v 2))> |
#<alt (+ (* -1 (/ (- (* 3/4 (pow v 2)) (* -1/12 (pow v 2))) e)) (* 1/3 (pow v 2)))> |
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (* 9/8 (pow v 2)) (* -1/4 (- (* 3/4 (pow v 2)) (* -1/12 (pow v 2))))) e)) (* 3/4 (pow v 2))) (* -1/12 (pow v 2))) e)) (* 1/3 (pow v 2)))> |
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/2 (pow v 2)) (* -1/4 (- (* 9/8 (pow v 2)) (* -1/4 (- (* 3/4 (pow v 2)) (* -1/12 (pow v 2))))))) e)) (* 9/8 (pow v 2))) (* -1/4 (- (* 3/4 (pow v 2)) (* -1/12 (pow v 2))))) e)) (* 3/4 (pow v 2))) (* -1/12 (pow v 2))) e)) (* 1/3 (pow v 2)))> |
#<alt (* 1/36 (pow e 2))> |
#<alt (* 1/36 (pow e 2))> |
#<alt (* 1/36 (pow e 2))> |
#<alt (* 1/36 (pow e 2))> |
#<alt (* 1/36 (pow e 2))> |
#<alt (* 1/36 (pow e 2))> |
#<alt (* 1/36 (pow e 2))> |
#<alt (* 1/36 (pow e 2))> |
#<alt (* 1/36 (pow e 2))> |
#<alt (* 1/36 (pow e 2))> |
#<alt (* 1/36 (pow e 2))> |
#<alt (* 1/36 (pow e 2))> |
108 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | e | @ | -inf | (* v (+ (/ e (+ e 1)) (* (* v v) (/ (/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))) (+ e 1))))) |
| 3.0ms | v | @ | inf | (* v (+ (/ e (+ e 1)) (* (* v v) (/ (/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))) (+ e 1))))) |
| 3.0ms | v | @ | 0 | (* v (+ (/ e (+ e 1)) (* (* v v) (/ (/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))) (+ e 1))))) |
| 1.0ms | v | @ | 0 | (* (* v v) (/ (/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))) (+ e 1))) |
| 1.0ms | e | @ | inf | (* v (+ (/ e (+ e 1)) (* (* v v) (/ (/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))) (+ e 1))))) |
| 1× | batch-egg-rewrite |
| 6 100× | *-lowering-*.f32 |
| 6 100× | *-lowering-*.f64 |
| 5 070× | /-lowering-/.f32 |
| 5 070× | /-lowering-/.f64 |
| 4 076× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 283 |
| 1 | 250 | 219 |
| 2 | 2460 | 219 |
| 0 | 9639 | 208 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (neg e) (/ -1 (/ (+ 1 (* e (cos v))) (sin v)))) |
(/ -1 (/ (+ 1 (* e (cos v))) (sin v))) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(+ 1 (* e (cos v))) |
(* e v) |
(/ 1 (/ (/ (+ e 1) v) e)) |
(/ (/ (+ e 1) v) e) |
(/ (+ e 1) v) |
(+ e 1) |
(+ (/ e (+ e 1)) (* (* v v) (/ (* e -1/6) (+ e 1)))) |
(* v (+ (/ e (+ e 1)) (* (* v v) (/ (* e -1/6) (+ e 1))))) |
(/ e (+ e 1)) |
(/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))) |
(* v (+ (/ e (+ e 1)) (* (* v v) (/ (/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))) (+ e 1))))) |
(- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) |
(* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) |
(* e (cos v)) |
(* (* v v) (/ (* e -1/6) (+ e 1))) |
(* e -1/6) |
(/ (* e -1/6) (+ e 1)) |
(* (* v v) (/ (/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))) (+ e 1))) |
(* (* e -1/6) (* e -1/6)) |
| Outputs |
|---|
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))) |
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) (*.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) e) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) e)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))) |
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) (*.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 e (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (-.f64 #s(literal 0 binary64) e))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (-.f64 #s(literal 0 binary64) e)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) e))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) e) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v)))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (sin.f64 v)) |
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal -1 binary64)) e) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (sin.f64 v)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (-.f64 #s(literal 0 binary64) (sin.f64 v))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) |
(*.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) |
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (sin.f64 v)) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (-.f64 #s(literal 0 binary64) (sin.f64 v))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (-.f64 #s(literal 0 binary64) (sin.f64 v))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)))) (sin.f64 v))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (sin.f64 v)) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v)))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) |
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
(+.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (cos.f64 v)) e #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) |
(/.f64 (-.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) #s(literal 1 binary64)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) |
(*.f64 e v) |
(*.f64 v e) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))) |
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)) |
(/.f64 (-.f64 #s(literal 0 binary64) e) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)) |
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)) |
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64))) |
(/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) v)) |
(/.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e)) |
(/.f64 (*.f64 v #s(literal 1 binary64)) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) |
(/.f64 (*.f64 v (-.f64 #s(literal 0 binary64) e)) (+.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) e) v) (+.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) v) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) |
(pow.f64 (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e) #s(literal -1 binary64)) |
(pow.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))) #s(literal -1 binary64)) |
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64)))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal -1/6 binary64)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (*.f64 e #s(literal 1/6 binary64)) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal -1/6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) |
(/.f64 (*.f64 e #s(literal 1/6 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 e #s(literal 1/6 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.f64 e #s(literal -1/6 binary64)) #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))) |
(pow.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal -1/6 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal -1/6 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))))) |
(*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) |
(*.f64 (*.f64 e #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64)))) |
(*.f64 (*.f64 e #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 e #s(literal -1/6 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 e #s(literal -1/6 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) e) |
(*.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))) (+.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e))) |
(*.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 (*.f64 e e) #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))))) |
(/.f64 (*.f64 v v) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))) (+.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))) (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 (*.f64 v v) (-.f64 #s(literal 0 binary64) (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))) (+.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 (*.f64 (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) (*.f64 v v)) (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) (*.f64 v v)) (+.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))) #s(literal -1 binary64)) |
(*.f64 v (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))))) |
(*.f64 (*.f64 v v) (/.f64 (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 v v)) |
(*.f64 (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 v v))) |
(*.f64 (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))) v) |
(*.f64 (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))) (+.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e))) |
(*.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) (+.f64 (*.f64 e e) #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 e #s(literal -1/6 binary64))))) |
(pow.f64 (*.f64 e #s(literal -1/6 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 e e) #s(literal 1/36 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 e #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 e #s(literal -1/6 binary64)))) #s(literal 2 binary64)) |
(*.f64 e (*.f64 #s(literal 1/36 binary64) e)) |
(*.f64 e (*.f64 e #s(literal 1/36 binary64))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 e #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64))) |
(*.f64 (*.f64 e e) #s(literal 1/36 binary64)) |
(*.f64 (*.f64 e #s(literal 1/6 binary64)) (*.f64 e #s(literal 1/6 binary64))) |
(*.f64 #s(literal 1/36 binary64) (*.f64 e e)) |
(*.f64 (*.f64 e (*.f64 e #s(literal -1/6 binary64))) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 #s(literal 1/36 binary64) e) e) |
(*.f64 (exp.f64 (log.f64 (*.f64 e #s(literal -1/6 binary64)))) (exp.f64 (log.f64 (*.f64 e #s(literal -1/6 binary64))))) |
| 1× | egg-herbie |
| 10 284× | accelerator-lowering-fma.f32 |
| 10 284× | accelerator-lowering-fma.f64 |
| 5 710× | *-lowering-*.f32 |
| 5 710× | *-lowering-*.f64 |
| 4 672× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 780 | 6596 |
| 1 | 2439 | 6331 |
| 2 | 7561 | 6303 |
| 0 | 8077 | 5930 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(* -1 (sin v)) |
(+ (* -1 (sin v)) (* e (* (cos v) (sin v)))) |
(+ (* -1 (sin v)) (* e (+ (* -1 (* e (* (pow (cos v) 2) (sin v)))) (* (cos v) (sin v))))) |
(+ (* -1 (sin v)) (* e (+ (* e (+ (* -1 (* (pow (cos v) 2) (sin v))) (* e (* (pow (cos v) 3) (sin v))))) (* (cos v) (sin v))))) |
(* -1 (/ (sin v) (* e (cos v)))) |
(/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e) |
(/ (+ (* -1 (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e) |
(/ (+ (* -1 (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (+ (/ (sin v) (* e (pow (cos v) 2))) (/ (sin v) (* (pow e 3) (pow (cos v) 4)))))) e) |
(* -1 (/ (sin v) (* e (cos v)))) |
(* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) e)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) e)) |
(* -1 (/ v (+ 1 e))) |
(* v (- (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (/ 1 (+ 1 e)))) |
(* v (- (* (pow v 2) (+ (* -1 (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))) |
(* v (- (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (+ (* 1/6 (/ 1 (+ 1 e))) (* (pow v 2) (+ (* -1 (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))))))) (/ 1 (+ 1 e)))) |
(* -1 (/ (sin v) (+ 1 (* e (cos v))))) |
(* -1 (/ (sin v) (+ 1 (* e (cos v))))) |
(* -1 (/ (sin v) (+ 1 (* e (cos v))))) |
(* -1 (/ (sin v) (+ 1 (* e (cos v))))) |
(* -1 (/ (sin v) (+ 1 (* e (cos v))))) |
(* -1 (/ (sin v) (+ 1 (* e (cos v))))) |
(* -1 (/ (sin v) (+ 1 (* e (cos v))))) |
(* -1 (/ (sin v) (+ 1 (* e (cos v))))) |
(/ 1 (sin v)) |
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) |
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) |
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) |
(/ (* e (cos v)) (sin v)) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(/ (* e (cos v)) (sin v)) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(/ (+ 1 e) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
1 |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(* e (cos v)) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(* e (cos v)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(+ 1 e) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e (+ v (* -1 (* e v)))) |
(* e (+ v (* e (- (* e v) v)))) |
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))) |
v |
(+ v (* -1 (/ v e))) |
(- (+ v (/ v (pow e 2))) (/ v e)) |
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) |
v |
(+ v (* -1 (/ v e))) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ 1 (* e v)) |
(/ (+ (/ 1 v) (/ e v)) e) |
(/ (+ (/ 1 v) (/ e v)) e) |
(/ (+ (/ 1 v) (/ e v)) e) |
(/ 1 v) |
(+ (/ 1 v) (/ 1 (* e v))) |
(+ (/ 1 v) (/ 1 (* e v))) |
(+ (/ 1 v) (/ 1 (* e v))) |
(/ 1 v) |
(+ (/ 1 v) (/ 1 (* e v))) |
(+ (/ 1 v) (/ 1 (* e v))) |
(+ (/ 1 v) (/ 1 (* e v))) |
(/ (+ 1 e) (* e v)) |
(/ (+ 1 e) (* e v)) |
(/ (+ 1 e) (* e v)) |
(/ (+ 1 e) (* e v)) |
(/ (+ 1 e) (* e v)) |
(/ (+ 1 e) (* e v)) |
(/ (+ 1 e) (* e v)) |
(/ (+ 1 e) (* e v)) |
(/ (+ 1 e) (* e v)) |
(/ (+ 1 e) (* e v)) |
(/ (+ 1 e) (* e v)) |
(/ (+ 1 e) (* e v)) |
(/ 1 v) |
(+ (/ 1 v) (/ e v)) |
(+ (/ 1 v) (/ e v)) |
(+ (/ 1 v) (/ e v)) |
(/ e v) |
(* e (+ (/ 1 v) (/ 1 (* e v)))) |
(* e (+ (/ 1 v) (/ 1 (* e v)))) |
(* e (+ (/ 1 v) (/ 1 (* e v)))) |
(/ e v) |
(* e (+ (/ 1 v) (/ 1 (* e v)))) |
(* e (+ (/ 1 v) (/ 1 (* e v)))) |
(* e (+ (/ 1 v) (/ 1 (* e v)))) |
(/ (+ 1 e) v) |
(/ (+ 1 e) v) |
(/ (+ 1 e) v) |
(/ (+ 1 e) v) |
(/ (+ 1 e) v) |
(/ (+ 1 e) v) |
(/ (+ 1 e) v) |
(/ (+ 1 e) v) |
(/ (+ 1 e) v) |
(/ (+ 1 e) v) |
(/ (+ 1 e) v) |
(/ (+ 1 e) v) |
1 |
(+ 1 e) |
(+ 1 e) |
(+ 1 e) |
e |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (/ 1 e))) |
e |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (* -1/6 (pow v 2)))) |
(* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (* 1/6 (pow v 2)) 1))))) |
(* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/6 (pow v 2))))) 1))))) |
(* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (+ (* 1/6 (pow v 2)) (* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (* 1/6 (pow v 2)) 1)))))) 1))))) |
(+ 1 (* -1/6 (pow v 2))) |
(- (+ 1 (+ (* -1/6 (pow v 2)) (* 1/6 (/ (pow v 2) e)))) (/ 1 e)) |
(- (+ 1 (+ (* -1/6 (/ (pow v 2) (pow e 2))) (+ (* -1/6 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 (pow e 2)))))) (/ 1 e)) |
(- (+ 1 (+ (* -1/6 (/ (pow v 2) (pow e 2))) (+ (* -1/6 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (+ (* 1/6 (/ (pow v 2) (pow e 3))) (/ 1 (pow e 2))))))) (+ (/ 1 e) (/ 1 (pow e 3)))) |
(+ 1 (* -1/6 (pow v 2))) |
(+ 1 (+ (* -1 (/ (+ 1 (* -1/6 (pow v 2))) e)) (* -1/6 (pow v 2)))) |
(+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* -1/6 (pow v 2))) e)) (* -1/6 (pow v 2)))) e)) (* -1/6 (pow v 2)))) |
(+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* -1/6 (pow v 2))) e)) (* -1/6 (pow v 2)))) e)) (* -1/6 (pow v 2)))) e)) (* -1/6 (pow v 2)))) |
(/ e (+ 1 e)) |
(+ (* -1/6 (/ (* e (pow v 2)) (+ 1 e))) (/ e (+ 1 e))) |
(+ (* -1/6 (/ (* e (pow v 2)) (+ 1 e))) (/ e (+ 1 e))) |
(+ (* -1/6 (/ (* e (pow v 2)) (+ 1 e))) (/ e (+ 1 e))) |
(* -1/6 (/ (* e (pow v 2)) (+ 1 e))) |
(* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (/ e (* (pow v 2) (+ 1 e))))) |
(* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (/ e (* (pow v 2) (+ 1 e))))) |
(* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (/ e (* (pow v 2) (+ 1 e))))) |
(* -1/6 (/ (* e (pow v 2)) (+ 1 e))) |
(* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (/ e (* (pow v 2) (+ 1 e))))) |
(* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (/ e (* (pow v 2) (+ 1 e))))) |
(* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (/ e (* (pow v 2) (+ 1 e))))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* -1/6 (/ (* e (pow v 2)) (+ 1 e))) (/ e (+ 1 e)))) |
(* v (+ (* -1/6 (/ (* e (pow v 2)) (+ 1 e))) (/ e (+ 1 e)))) |
(* v (+ (* -1/6 (/ (* e (pow v 2)) (+ 1 e))) (/ e (+ 1 e)))) |
(* -1/6 (/ (* e (pow v 3)) (+ 1 e))) |
(* (pow v 3) (+ (* -1/6 (/ e (+ 1 e))) (/ e (* (pow v 2) (+ 1 e))))) |
(* (pow v 3) (+ (* -1/6 (/ e (+ 1 e))) (/ e (* (pow v 2) (+ 1 e))))) |
(* (pow v 3) (+ (* -1/6 (/ e (+ 1 e))) (/ e (* (pow v 2) (+ 1 e))))) |
(* -1/6 (/ (* e (pow v 3)) (+ 1 e))) |
(* -1 (* (pow v 3) (+ (* -1 (/ e (* (pow v 2) (+ 1 e)))) (* 1/6 (/ e (+ 1 e)))))) |
(* -1 (* (pow v 3) (+ (* -1 (/ e (* (pow v 2) (+ 1 e)))) (* 1/6 (/ e (+ 1 e)))))) |
(* -1 (* (pow v 3) (+ (* -1 (/ e (* (pow v 2) (+ 1 e)))) (* 1/6 (/ e (+ 1 e)))))) |
(* e (* v (+ 1 (* -1/6 (pow v 2))))) |
(* e (+ (* e (* v (- (* 1/6 (pow v 2)) 1))) (* v (+ 1 (* -1/6 (pow v 2)))))) |
(* e (+ (* e (+ (* e (* v (+ 1 (* -1/6 (pow v 2))))) (* v (- (* 1/6 (pow v 2)) 1)))) (* v (+ 1 (* -1/6 (pow v 2)))))) |
(* e (+ (* e (+ (* e (+ (* e (* v (- (* 1/6 (pow v 2)) 1))) (* v (+ 1 (* -1/6 (pow v 2)))))) (* v (- (* 1/6 (pow v 2)) 1)))) (* v (+ 1 (* -1/6 (pow v 2)))))) |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(+ (* v (+ 1 (* -1/6 (pow v 2)))) (/ (* v (- (* 1/6 (pow v 2)) 1)) e)) |
(+ (* v (+ 1 (* -1/6 (pow v 2)))) (+ (/ (* v (+ 1 (* -1/6 (pow v 2)))) (pow e 2)) (/ (* v (- (* 1/6 (pow v 2)) 1)) e))) |
(+ (* v (+ 1 (* -1/6 (pow v 2)))) (+ (/ (* v (+ 1 (* -1/6 (pow v 2)))) (pow e 2)) (+ (/ (* v (- (* 1/6 (pow v 2)) 1)) e) (/ (* v (- (* 1/6 (pow v 2)) 1)) (pow e 3))))) |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(+ (* -1 (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)) (* v (+ 1 (* -1/6 (pow v 2))))) |
(+ (* -1 (/ (+ (* -1 (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)) (* v (+ 1 (* -1/6 (pow v 2))))) e)) (* v (+ 1 (* -1/6 (pow v 2))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)) (* v (+ 1 (* -1/6 (pow v 2))))) e)) (* v (+ 1 (* -1/6 (pow v 2))))) e)) (* v (+ 1 (* -1/6 (pow v 2))))) |
e |
(* e (+ 1 (* -1 e))) |
(* e (+ 1 (* e (- e 1)))) |
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1)))) |
1 |
(- 1 (/ 1 e)) |
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e)) |
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3)))) |
1 |
(- 1 (/ 1 e)) |
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e))) |
(* -1/6 e) |
(* e (- (* 1/2 e) 1/6)) |
(* e (- (* e (+ 1/2 (* -1/2 e))) 1/6)) |
(* e (- (* e (+ 1/2 (* e (- (* 1/2 e) 1/2)))) 1/6)) |
(* 1/3 e) |
(* e (- 1/3 (* 1/2 (/ 1 e)))) |
(* e (- (+ 1/3 (/ 1/2 (pow e 2))) (* 1/2 (/ 1 e)))) |
(* e (- (+ 1/3 (/ 1/2 (pow e 2))) (+ (* 1/2 (/ 1 e)) (* 1/2 (/ 1 (pow e 3)))))) |
(* 1/3 e) |
(* -1 (* e (- (* 1/2 (/ 1 e)) 1/3))) |
(* -1 (* e (- (* -1 (/ (- (* 1/2 (/ 1 e)) 1/2) e)) 1/3))) |
(* -1 (* e (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 e)) 1/2) e)) 1/2) e)) 1/3))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (* (pow (+ 1 e) 3) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))) (* 1/36 (/ (pow e 2) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (* (pow (+ 1 e) 3) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))) (* 1/36 (/ (pow e 2) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (* (pow (+ 1 e) 3) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))) (* 1/36 (/ (pow e 2) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))))) (/ e (+ 1 e)))) |
(* (pow v 3) (- (* 1/4 (/ (pow e 4) (* (pow (+ 1 e) 3) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))) (* 1/36 (/ (pow e 2) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))))) |
(* (pow v 3) (- (+ (* 1/4 (/ (pow e 4) (* (pow (+ 1 e) 3) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))) (/ e (* (pow v 2) (+ 1 e)))) (* 1/36 (/ (pow e 2) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))))) |
(* (pow v 3) (- (+ (* 1/4 (/ (pow e 4) (* (pow (+ 1 e) 3) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))) (/ e (* (pow v 2) (+ 1 e)))) (* 1/36 (/ (pow e 2) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))))) |
(* (pow v 3) (- (+ (* 1/4 (/ (pow e 4) (* (pow (+ 1 e) 3) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))) (/ e (* (pow v 2) (+ 1 e)))) (* 1/36 (/ (pow e 2) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))))) |
(* (pow v 3) (- (* 1/4 (/ (pow e 4) (* (pow (+ 1 e) 3) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))) (* 1/36 (/ (pow e 2) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))))) |
(* -1 (* (pow v 3) (+ (* -1 (- (* 1/4 (/ (pow e 4) (* (pow (+ 1 e) 3) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))) (* 1/36 (/ (pow e 2) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))))) (* -1 (/ e (* (pow v 2) (+ 1 e))))))) |
(* -1 (* (pow v 3) (+ (* -1 (- (* 1/4 (/ (pow e 4) (* (pow (+ 1 e) 3) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))) (* 1/36 (/ (pow e 2) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))))) (* -1 (/ e (* (pow v 2) (+ 1 e))))))) |
(* -1 (* (pow v 3) (+ (* -1 (- (* 1/4 (/ (pow e 4) (* (pow (+ 1 e) 3) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))) (* 1/36 (/ (pow e 2) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))))) (* -1 (/ e (* (pow v 2) (+ 1 e))))))) |
(* e (* v (+ 1 (* -1/6 (pow v 2))))) |
(* e (+ (* -1 (* e (* v (+ 1 (* -2/3 (pow v 2)))))) (* v (+ 1 (* -1/6 (pow v 2)))))) |
(* e (+ (* e (+ (* -1 (* v (+ 1 (* -2/3 (pow v 2))))) (* e (* v (- (+ 1 (* 3/2 (pow v 2))) (* 8/3 (pow v 2))))))) (* v (+ 1 (* -1/6 (pow v 2)))))) |
(* e (+ (* e (+ (* -1 (* v (+ 1 (* -2/3 (pow v 2))))) (* e (+ (* e (* v (- (* -3 (pow v 2)) (+ 1 (* 4 (- (* 3/2 (pow v 2)) (* 8/3 (pow v 2)))))))) (* v (- (+ 1 (* 3/2 (pow v 2))) (* 8/3 (pow v 2)))))))) (* v (+ 1 (* -1/6 (pow v 2)))))) |
(* v (+ 1 (* 1/3 (pow v 2)))) |
(+ (* v (+ 1 (* 1/3 (pow v 2)))) (/ (* v (- (* -3/4 (pow v 2)) (+ 1 (* 1/12 (pow v 2))))) e)) |
(+ (* v (+ 1 (* 1/3 (pow v 2)))) (+ (/ (* v (- (* -3/4 (pow v 2)) (+ 1 (* 1/12 (pow v 2))))) e) (/ (* v (- (+ 1 (* 9/8 (pow v 2))) (* 1/4 (- (* -3/4 (pow v 2)) (* 1/12 (pow v 2)))))) (pow e 2)))) |
(+ (* v (+ 1 (* 1/3 (pow v 2)))) (+ (/ (* v (- (* -3/2 (pow v 2)) (+ 1 (* 1/4 (- (* 9/8 (pow v 2)) (* 1/4 (- (* -3/4 (pow v 2)) (* 1/12 (pow v 2))))))))) (pow e 3)) (+ (/ (* v (- (* -3/4 (pow v 2)) (+ 1 (* 1/12 (pow v 2))))) e) (/ (* v (- (+ 1 (* 9/8 (pow v 2))) (* 1/4 (- (* -3/4 (pow v 2)) (* 1/12 (pow v 2)))))) (pow e 2))))) |
(* v (+ 1 (* 1/3 (pow v 2)))) |
(+ (* -1 (/ (* v (- (+ 1 (* 3/4 (pow v 2))) (* -1/12 (pow v 2)))) e)) (* v (+ 1 (* 1/3 (pow v 2))))) |
(+ (* -1 (/ (+ (* -1 (/ (* v (- (+ 1 (* 9/8 (pow v 2))) (* -1/4 (- (* 3/4 (pow v 2)) (* -1/12 (pow v 2)))))) e)) (* v (- (+ 1 (* 3/4 (pow v 2))) (* -1/12 (pow v 2))))) e)) (* v (+ 1 (* 1/3 (pow v 2))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* v (- (+ 1 (* 3/2 (pow v 2))) (* -1/4 (- (* 9/8 (pow v 2)) (* -1/4 (- (* 3/4 (pow v 2)) (* -1/12 (pow v 2)))))))) e)) (* v (- (+ 1 (* 9/8 (pow v 2))) (* -1/4 (- (* 3/4 (pow v 2)) (* -1/12 (pow v 2))))))) e)) (* v (- (+ 1 (* 3/4 (pow v 2))) (* -1/12 (pow v 2))))) e)) (* v (+ 1 (* 1/3 (pow v 2))))) |
(* -1/36 (pow e 2)) |
(* (pow e 2) (- (* 1/4 (pow e 2)) 1/36)) |
(* (pow e 2) (- (* (pow e 2) (+ 1/4 (* -1/2 e))) 1/36)) |
(* (pow e 2) (- (* (pow e 2) (+ 1/4 (* e (- (* 3/4 e) 1/2)))) 1/36)) |
(* 2/9 (pow e 2)) |
(* (pow e 2) (- 2/9 (* 1/2 (/ 1 e)))) |
(* (pow e 2) (- (+ 2/9 (/ 3/4 (pow e 2))) (* 1/2 (/ 1 e)))) |
(* (pow e 2) (- (+ 2/9 (/ 3/4 (pow e 2))) (+ (* 1/2 (/ 1 e)) (/ 1 (pow e 3))))) |
(* 2/9 (pow e 2)) |
(* (pow e 2) (- 2/9 (* 1/2 (/ 1 e)))) |
(* (pow e 2) (+ 2/9 (* -1 (/ (- 1/2 (* 3/4 (/ 1 e))) e)))) |
(* (pow e 2) (+ 2/9 (* -1 (/ (+ 1/2 (* -1 (/ (- 3/4 (/ 1 e)) e))) e)))) |
(* 1/4 (pow e 4)) |
(* (pow e 4) (+ 1/4 (* -1/2 e))) |
(* (pow e 4) (+ 1/4 (* e (- (* 3/4 e) 1/2)))) |
(* (pow e 4) (+ 1/4 (* e (- (* e (+ 3/4 (* -1 e))) 1/2)))) |
(* 1/4 (pow e 2)) |
(* (pow e 2) (- 1/4 (* 1/2 (/ 1 e)))) |
(* (pow e 2) (- (+ 1/4 (/ 3/4 (pow e 2))) (* 1/2 (/ 1 e)))) |
(* (pow e 2) (- (+ 1/4 (/ 3/4 (pow e 2))) (+ (* 1/2 (/ 1 e)) (/ 1 (pow e 3))))) |
(* 1/4 (pow e 2)) |
(* (pow e 2) (- 1/4 (* 1/2 (/ 1 e)))) |
(* (pow e 2) (+ 1/4 (* -1 (/ (- 1/2 (* 3/4 (/ 1 e))) e)))) |
(* (pow e 2) (+ 1/4 (* -1 (/ (+ 1/2 (* -1 (/ (- 3/4 (/ 1 e)) e))) e)))) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
e |
(+ e (* -1/2 (* e (pow v 2)))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* -1/6 (/ (* e (pow v 2)) (+ 1 e))) |
(* -1/6 (/ (* e (pow v 2)) (+ 1 e))) |
(* -1/6 (/ (* e (pow v 2)) (+ 1 e))) |
(* -1/6 (/ (* e (pow v 2)) (+ 1 e))) |
(* -1/6 (/ (* e (pow v 2)) (+ 1 e))) |
(* -1/6 (/ (* e (pow v 2)) (+ 1 e))) |
(* -1/6 (/ (* e (pow v 2)) (+ 1 e))) |
(* -1/6 (/ (* e (pow v 2)) (+ 1 e))) |
(* -1/6 (/ (* e (pow v 2)) (+ 1 e))) |
(* -1/6 (/ (* e (pow v 2)) (+ 1 e))) |
(* -1/6 (/ (* e (pow v 2)) (+ 1 e))) |
(* -1/6 (/ (* e (pow v 2)) (+ 1 e))) |
(* -1/6 (* e (pow v 2))) |
(* e (+ (* -1/6 (pow v 2)) (* 1/6 (* e (pow v 2))))) |
(* e (+ (* -1/6 (pow v 2)) (* e (+ (* -1/6 (* e (pow v 2))) (* 1/6 (pow v 2)))))) |
(* e (+ (* -1/6 (pow v 2)) (* e (+ (* 1/6 (pow v 2)) (* e (+ (* -1/6 (pow v 2)) (* 1/6 (* e (pow v 2))))))))) |
(* -1/6 (pow v 2)) |
(+ (* -1/6 (pow v 2)) (* 1/6 (/ (pow v 2) e))) |
(+ (* -1/6 (/ (pow v 2) (pow e 2))) (+ (* -1/6 (pow v 2)) (* 1/6 (/ (pow v 2) e)))) |
(+ (* -1/6 (/ (pow v 2) (pow e 2))) (+ (* -1/6 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (* 1/6 (/ (pow v 2) (pow e 3)))))) |
(* -1/6 (pow v 2)) |
(+ (* -1/6 (pow v 2)) (* 1/6 (/ (pow v 2) e))) |
(+ (* -1 (/ (+ (* -1/6 (pow v 2)) (* 1/6 (/ (pow v 2) e))) e)) (* -1/6 (pow v 2))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow v 2)) (* 1/6 (/ (pow v 2) e))) e)) (* -1/6 (pow v 2))) e)) (* -1/6 (pow v 2))) |
(* -1/6 e) |
(* -1/6 e) |
(* -1/6 e) |
(* -1/6 e) |
(* -1/6 e) |
(* -1/6 e) |
(* -1/6 e) |
(* -1/6 e) |
(* -1/6 e) |
(* -1/6 e) |
(* -1/6 e) |
(* -1/6 e) |
(* -1/6 e) |
(* e (- (* 1/6 e) 1/6)) |
(* e (- (* e (+ 1/6 (* -1/6 e))) 1/6)) |
(* e (- (* e (+ 1/6 (* e (- (* 1/6 e) 1/6)))) 1/6)) |
-1/6 |
(- (* 1/6 (/ 1 e)) 1/6) |
(- (* 1/6 (/ 1 e)) (+ 1/6 (/ 1/6 (pow e 2)))) |
(- (+ (* 1/6 (/ 1 e)) (* 1/6 (/ 1 (pow e 3)))) (+ 1/6 (/ 1/6 (pow e 2)))) |
-1/6 |
(- (* 1/6 (/ 1 e)) 1/6) |
(- (* -1 (/ (- (* 1/6 (/ 1 e)) 1/6) e)) 1/6) |
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 e)) 1/6) e)) 1/6) e)) 1/6) |
(/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e)))) |
(/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e)))) |
(/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e)))) |
(/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e)))) |
(/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e)))) |
(/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e)))) |
(/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e)))) |
(/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e)))) |
(/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e)))) |
(/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e)))) |
(/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e)))) |
(/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e)))) |
(* -1/6 (* e (pow v 2))) |
(* e (+ (* -1/6 (pow v 2)) (* 2/3 (* e (pow v 2))))) |
(* e (+ (* -1/6 (pow v 2)) (* e (- (* e (- (* 3/2 (pow v 2)) (* 8/3 (pow v 2)))) (* -2/3 (pow v 2)))))) |
(* e (+ (* -1/6 (pow v 2)) (* e (- (* e (- (+ (* 3/2 (pow v 2)) (* e (- (* -3 (pow v 2)) (* 4 (- (* 3/2 (pow v 2)) (* 8/3 (pow v 2))))))) (* 8/3 (pow v 2)))) (* -2/3 (pow v 2)))))) |
(* 1/3 (pow v 2)) |
(- (+ (* -3/4 (/ (pow v 2) e)) (* 1/3 (pow v 2))) (* 1/12 (/ (pow v 2) e))) |
(- (+ (* -3/4 (/ (pow v 2) e)) (+ (* 1/3 (pow v 2)) (* 9/8 (/ (pow v 2) (pow e 2))))) (+ (* 1/12 (/ (pow v 2) e)) (* 1/4 (/ (- (* -3/4 (pow v 2)) (* 1/12 (pow v 2))) (pow e 2))))) |
(- (+ (* -3/2 (/ (pow v 2) (pow e 3))) (+ (* -3/4 (/ (pow v 2) e)) (+ (* 1/3 (pow v 2)) (* 9/8 (/ (pow v 2) (pow e 2)))))) (+ (* 1/12 (/ (pow v 2) e)) (+ (* 1/4 (/ (- (* -3/4 (pow v 2)) (* 1/12 (pow v 2))) (pow e 2))) (* 1/4 (/ (- (* 9/8 (pow v 2)) (* 1/4 (- (* -3/4 (pow v 2)) (* 1/12 (pow v 2))))) (pow e 3)))))) |
(* 1/3 (pow v 2)) |
(+ (* -1 (/ (- (* 3/4 (pow v 2)) (* -1/12 (pow v 2))) e)) (* 1/3 (pow v 2))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 9/8 (pow v 2)) (* -1/4 (- (* 3/4 (pow v 2)) (* -1/12 (pow v 2))))) e)) (* 3/4 (pow v 2))) (* -1/12 (pow v 2))) e)) (* 1/3 (pow v 2))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/2 (pow v 2)) (* -1/4 (- (* 9/8 (pow v 2)) (* -1/4 (- (* 3/4 (pow v 2)) (* -1/12 (pow v 2))))))) e)) (* 9/8 (pow v 2))) (* -1/4 (- (* 3/4 (pow v 2)) (* -1/12 (pow v 2))))) e)) (* 3/4 (pow v 2))) (* -1/12 (pow v 2))) e)) (* 1/3 (pow v 2))) |
(* 1/36 (pow e 2)) |
(* 1/36 (pow e 2)) |
(* 1/36 (pow e 2)) |
(* 1/36 (pow e 2)) |
(* 1/36 (pow e 2)) |
(* 1/36 (pow e 2)) |
(* 1/36 (pow e 2)) |
(* 1/36 (pow e 2)) |
(* 1/36 (pow e 2)) |
(* 1/36 (pow e 2)) |
(* 1/36 (pow e 2)) |
(* 1/36 (pow e 2)) |
| Outputs |
|---|
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(*.f64 e (-.f64 (sin.f64 v) (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v))))) |
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(+ (* -1 (/ (- (+ (* -1 (/ (- (* 9/8 (pow v 2)) (* -1/4 (- (* 3/4 (pow v 2)) (* -1/12 (pow v 2))))) e)) (* 3/4 (pow v 2))) (* -1/12 (pow v 2))) e)) (* 1/3 (pow v 2))) |
(-.f64 (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 5/6 binary64)) (/.f64 (-.f64 (*.f64 v (*.f64 v #s(literal 9/8 binary64))) (*.f64 (*.f64 v v) #s(literal -5/24 binary64))) (-.f64 #s(literal 0 binary64) e))) e)) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/2 (pow v 2)) (* -1/4 (- (* 9/8 (pow v 2)) (* -1/4 (- (* 3/4 (pow v 2)) (* -1/12 (pow v 2))))))) e)) (* 9/8 (pow v 2))) (* -1/4 (- (* 3/4 (pow v 2)) (* -1/12 (pow v 2))))) e)) (* 3/4 (pow v 2))) (* -1/12 (pow v 2))) e)) (* 1/3 (pow v 2))) |
(-.f64 (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 5/6 binary64)) (/.f64 (-.f64 (-.f64 (*.f64 v (*.f64 v #s(literal 9/8 binary64))) (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 3/2 binary64)) (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 v (*.f64 v #s(literal 9/8 binary64))) (*.f64 (*.f64 v v) #s(literal -5/24 binary64))))) e)) (*.f64 (*.f64 v v) #s(literal -5/24 binary64))) (-.f64 #s(literal 0 binary64) e))) e)) |
(* 1/36 (pow e 2)) |
(*.f64 (*.f64 e e) #s(literal 1/36 binary64)) |
(* 1/36 (pow e 2)) |
(*.f64 (*.f64 e e) #s(literal 1/36 binary64)) |
(* 1/36 (pow e 2)) |
(*.f64 (*.f64 e e) #s(literal 1/36 binary64)) |
(* 1/36 (pow e 2)) |
(*.f64 (*.f64 e e) #s(literal 1/36 binary64)) |
(* 1/36 (pow e 2)) |
(*.f64 (*.f64 e e) #s(literal 1/36 binary64)) |
(* 1/36 (pow e 2)) |
(*.f64 (*.f64 e e) #s(literal 1/36 binary64)) |
(* 1/36 (pow e 2)) |
(*.f64 (*.f64 e e) #s(literal 1/36 binary64)) |
(* 1/36 (pow e 2)) |
(*.f64 (*.f64 e e) #s(literal 1/36 binary64)) |
(* 1/36 (pow e 2)) |
(*.f64 (*.f64 e e) #s(literal 1/36 binary64)) |
(* 1/36 (pow e 2)) |
(*.f64 (*.f64 e e) #s(literal 1/36 binary64)) |
(* 1/36 (pow e 2)) |
(*.f64 (*.f64 e e) #s(literal 1/36 binary64)) |
(* 1/36 (pow e 2)) |
(*.f64 (*.f64 e e) #s(literal 1/36 binary64)) |
Compiled 57 245 to 5 340 computations (90.7% saved)
46 alts after pruning (39 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 538 | 12 | 1 550 |
| Fresh | 3 | 27 | 30 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 543 | 46 | 1 589 |
| Status | Accuracy | Program |
|---|---|---|
| 98.7% | (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)) | |
| 66.7% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e)) | |
| 24.0% | (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 e #s(literal -1/6 binary64)))) v) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))) | |
| 53.8% | (/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64))) | |
| 53.6% | (/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64))) | |
| ✓ | 98.3% | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64))) |
| 99.7% | (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) | |
| 54.1% | (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)) | |
| 55.1% | (/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) #s(literal 1 binary64))) v)) | |
| 54.0% | (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)) | |
| 55.0% | (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 v v) #s(literal 31/15120 binary64)))))))) v)) | |
| 54.9% | (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v #s(literal 7/360 binary64)))))) v)) | |
| 54.9% | (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v)) | |
| ✓ | 99.7% | (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) |
| 53.4% | (/.f64 e (/.f64 #s(literal 1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))))))))))) | |
| ✓ | 97.9% | (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
| 53.8% | (/.f64 e (/.f64 #s(literal 1 binary64) v)) | |
| ✓ | 53.2% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)) |
| 52.9% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e)) | |
| 53.0% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v)) | |
| 47.7% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 e e))) e) v)) | |
| 97.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))) | |
| 53.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v))) | |
| 2.5% | (-.f64 v (/.f64 v e)) | |
| 68.4% | (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) e) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) #s(literal 1 binary64))) | |
| 66.7% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 #s(literal -1 binary64) (sin.f64 v)))) | |
| 98.3% | (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 (*.f64 e e) #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64))) | |
| 98.2% | (*.f64 (sin.f64 v) e) | |
| 55.2% | (*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v))) | |
| 54.1% | (*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v))) | |
| ✓ | 99.8% | (*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))) |
| 53.6% | (*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) (*.f64 v v)) (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))))) | |
| 53.8% | (*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 v v) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal -1/6 binary64)))))) | |
| 53.5% | (*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 e (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))))) | |
| 53.6% | (*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/36 binary64)) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))))) | |
| 53.8% | (*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))))) | |
| 53.8% | (*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64))))) | |
| 4.3% | (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64)))))) | |
| 4.3% | (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) | |
| 53.3% | (*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) | |
| 53.5% | (*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) | |
| 54.1% | (*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e))) | |
| 53.5% | (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) | |
| ✓ | 53.9% | (*.f64 e v) |
| 5.8% | (sin.f64 v) | |
| ✓ | 4.5% | v |
Compiled 2 174 to 819 computations (62.3% saved)
| Inputs |
|---|
v |
(*.f64 e v) |
(-.f64 v (/.f64 v e)) |
(/.f64 e (/.f64 #s(literal 1 binary64) v)) |
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e))) |
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) e)) v) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e)) |
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)) |
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) |
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)) |
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64))) |
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)) |
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v))) |
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) |
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) |
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v)) |
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64))) |
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64))) |
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 e e))) e) v)) |
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v #s(literal 7/360 binary64)))))) v)) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 v v) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal -1/6 binary64)))))) |
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) #s(literal 1 binary64))) v)) |
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64))) |
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 v v) #s(literal 31/15120 binary64)))))))) v)) |
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v))) |
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64)))))) v))) |
(/.f64 e (/.f64 #s(literal 1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))))))))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (+.f64 e #s(literal 1 binary64)))))) |
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) (/.f64 v (/.f64 #s(literal 1 binary64) (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64)))))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/36 binary64)) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 e #s(literal -1/6 binary64)))) v) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))) |
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v)) |
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) e) v) (*.f64 (*.f64 (*.f64 (*.f64 v v) e) (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) v))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) e) v) (+.f64 e #s(literal 1 binary64)))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) (*.f64 v v)) (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 e (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 e #s(literal 1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 binary64))))))))))) |
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 e #s(literal -1/720 binary64)) (*.f64 #s(literal 1/6 binary64) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) #s(literal 1 binary64))) v)) |
(sin.f64 v) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (sin.f64 v) e))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e)) |
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 (*.f64 e e) #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 #s(literal -1 binary64) (sin.f64 v)))) |
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) |
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))) |
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)) |
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) e) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) #s(literal 1 binary64))) |
(/.f64 e (*.f64 e (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v))))) |
(*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) e)) |
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 e (-.f64 #s(literal 0 binary64) (sin.f64 v))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 e (-.f64 #s(literal 0 binary64) (sin.f64 v))))))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Outputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
3 calls:
| 21.0ms | v |
| 20.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 20.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | e |
| 99.9% | 1 | v |
| 99.9% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
v |
(*.f64 e v) |
(-.f64 v (/.f64 v e)) |
(/.f64 e (/.f64 #s(literal 1 binary64) v)) |
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e))) |
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) e)) v) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e)) |
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)) |
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) |
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)) |
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64))) |
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)) |
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v))) |
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) |
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) |
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v)) |
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64))) |
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64))) |
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 e e))) e) v)) |
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v #s(literal 7/360 binary64)))))) v)) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 v v) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal -1/6 binary64)))))) |
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) #s(literal 1 binary64))) v)) |
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64))) |
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 v v) #s(literal 31/15120 binary64)))))))) v)) |
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v))) |
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64)))))) v))) |
(/.f64 e (/.f64 #s(literal 1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))))))))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (+.f64 e #s(literal 1 binary64)))))) |
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) (/.f64 v (/.f64 #s(literal 1 binary64) (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64)))))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/36 binary64)) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 e #s(literal -1/6 binary64)))) v) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))) |
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v)) |
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) e) v) (*.f64 (*.f64 (*.f64 (*.f64 v v) e) (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) v))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) e) v) (+.f64 e #s(literal 1 binary64)))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) (*.f64 v v)) (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 e (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 e #s(literal 1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 binary64))))))))))) |
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 e #s(literal -1/720 binary64)) (*.f64 #s(literal 1/6 binary64) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) #s(literal 1 binary64))) v)) |
(sin.f64 v) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (sin.f64 v) e))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e)) |
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 (*.f64 e e) #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 #s(literal -1 binary64) (sin.f64 v)))) |
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) |
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) |
| Outputs |
|---|
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) |
2 calls:
| 19.0ms | v |
| 17.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | e |
| 99.7% | 1 | v |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
v |
(*.f64 e v) |
(-.f64 v (/.f64 v e)) |
(/.f64 e (/.f64 #s(literal 1 binary64) v)) |
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e))) |
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) e)) v) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e)) |
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)) |
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) |
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)) |
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64))) |
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)) |
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v))) |
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) |
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) |
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v)) |
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64))) |
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64))) |
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 e e))) e) v)) |
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v #s(literal 7/360 binary64)))))) v)) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 v v) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal -1/6 binary64)))))) |
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) #s(literal 1 binary64))) v)) |
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64))) |
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 v v) #s(literal 31/15120 binary64)))))))) v)) |
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v))) |
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64)))))) v))) |
(/.f64 e (/.f64 #s(literal 1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))))))))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (+.f64 e #s(literal 1 binary64)))))) |
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) (/.f64 v (/.f64 #s(literal 1 binary64) (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64)))))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/36 binary64)) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 e #s(literal -1/6 binary64)))) v) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))) |
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v)) |
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) e) v) (*.f64 (*.f64 (*.f64 (*.f64 v v) e) (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) v))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) e) v) (+.f64 e #s(literal 1 binary64)))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) (*.f64 v v)) (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 e (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 e #s(literal 1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 binary64))))))))))) |
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 e #s(literal -1/720 binary64)) (*.f64 #s(literal 1/6 binary64) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) #s(literal 1 binary64))) v)) |
(sin.f64 v) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (sin.f64 v) e))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e)) |
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 (*.f64 e e) #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 #s(literal -1 binary64) (sin.f64 v)))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 (*.f64 e e) #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64))) |
2 calls:
| 19.0ms | e |
| 16.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 1 | e |
| 98.3% | 1 | v |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
v |
(*.f64 e v) |
(-.f64 v (/.f64 v e)) |
(/.f64 e (/.f64 #s(literal 1 binary64) v)) |
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e))) |
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) e)) v) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e)) |
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)) |
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) |
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)) |
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64))) |
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)) |
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v))) |
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) |
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) |
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v)) |
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64))) |
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64))) |
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 e e))) e) v)) |
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v #s(literal 7/360 binary64)))))) v)) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 v v) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal -1/6 binary64)))))) |
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) #s(literal 1 binary64))) v)) |
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64))) |
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 v v) #s(literal 31/15120 binary64)))))))) v)) |
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v))) |
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64)))))) v))) |
(/.f64 e (/.f64 #s(literal 1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))))))))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (+.f64 e #s(literal 1 binary64)))))) |
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) (/.f64 v (/.f64 #s(literal 1 binary64) (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64)))))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/36 binary64)) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 e #s(literal -1/6 binary64)))) v) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))) |
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v)) |
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) e) v) (*.f64 (*.f64 (*.f64 (*.f64 v v) e) (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) v))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) e) v) (+.f64 e #s(literal 1 binary64)))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) (*.f64 v v)) (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 e (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 e #s(literal 1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 binary64))))))))))) |
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 e #s(literal -1/720 binary64)) (*.f64 #s(literal 1/6 binary64) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) #s(literal 1 binary64))) v)) |
(sin.f64 v) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (sin.f64 v) e))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e)) |
| Outputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64))) |
2 calls:
| 17.0ms | e |
| 17.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 1 | v |
| 98.3% | 1 | e |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
v |
(*.f64 e v) |
(-.f64 v (/.f64 v e)) |
(/.f64 e (/.f64 #s(literal 1 binary64) v)) |
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e))) |
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) e)) v) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e)) |
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)) |
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) |
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)) |
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64))) |
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)) |
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v))) |
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) |
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) |
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v)) |
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64))) |
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64))) |
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 e e))) e) v)) |
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v #s(literal 7/360 binary64)))))) v)) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 v v) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal -1/6 binary64)))))) |
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) #s(literal 1 binary64))) v)) |
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64))) |
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 v v) #s(literal 31/15120 binary64)))))))) v)) |
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v))) |
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64)))))) v))) |
(/.f64 e (/.f64 #s(literal 1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))))))))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (+.f64 e #s(literal 1 binary64)))))) |
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) (/.f64 v (/.f64 #s(literal 1 binary64) (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64)))))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/36 binary64)) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 e #s(literal -1/6 binary64)))) v) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))) |
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v)) |
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) e) v) (*.f64 (*.f64 (*.f64 (*.f64 v v) e) (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) v))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) e) v) (+.f64 e #s(literal 1 binary64)))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) (*.f64 v v)) (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 e (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 e #s(literal 1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 binary64))))))))))) |
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 e #s(literal -1/720 binary64)) (*.f64 #s(literal 1/6 binary64) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) #s(literal 1 binary64))) v)) |
(sin.f64 v) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))) |
| Outputs |
|---|
(*.f64 e (sin.f64 v)) |
2 calls:
| 26.0ms | v |
| 15.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 1 | e |
| 98.2% | 1 | v |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
v |
(*.f64 e v) |
(-.f64 v (/.f64 v e)) |
(/.f64 e (/.f64 #s(literal 1 binary64) v)) |
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e))) |
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) e)) v) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e)) |
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)) |
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) |
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)) |
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64))) |
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)) |
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v))) |
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) |
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) |
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v)) |
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64))) |
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64))) |
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 e e))) e) v)) |
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v #s(literal 7/360 binary64)))))) v)) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 v v) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal -1/6 binary64)))))) |
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) #s(literal 1 binary64))) v)) |
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64))) |
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 v v) #s(literal 31/15120 binary64)))))))) v)) |
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v))) |
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64)))))) v))) |
(/.f64 e (/.f64 #s(literal 1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))))))))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (+.f64 e #s(literal 1 binary64)))))) |
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) (/.f64 v (/.f64 #s(literal 1 binary64) (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64)))))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/36 binary64)) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 e #s(literal -1/6 binary64)))) v) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))) |
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v)) |
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) e) v) (*.f64 (*.f64 (*.f64 (*.f64 v v) e) (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) v))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) e) v) (+.f64 e #s(literal 1 binary64)))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) (*.f64 v v)) (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 e (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 e #s(literal 1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 binary64))))))))))) |
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 e #s(literal -1/720 binary64)) (*.f64 #s(literal 1/6 binary64) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) #s(literal 1 binary64))) v)) |
(sin.f64 v) |
| Outputs |
|---|
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 e #s(literal -1/720 binary64)) (*.f64 #s(literal 1/6 binary64) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) #s(literal 1 binary64))) v)) |
2 calls:
| 15.0ms | e |
| 14.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.2% | 1 | e |
| 55.2% | 1 | v |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
v |
(*.f64 e v) |
(-.f64 v (/.f64 v e)) |
(/.f64 e (/.f64 #s(literal 1 binary64) v)) |
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e))) |
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) e)) v) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e)) |
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)) |
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) |
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)) |
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64))) |
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)) |
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v))) |
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) |
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) |
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v)) |
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64))) |
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64))) |
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 e e))) e) v)) |
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v #s(literal 7/360 binary64)))))) v)) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 v v) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal -1/6 binary64)))))) |
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) #s(literal 1 binary64))) v)) |
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64))) |
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 v v) #s(literal 31/15120 binary64)))))))) v)) |
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v))) |
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64)))))) v))) |
(/.f64 e (/.f64 #s(literal 1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))))))))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (+.f64 e #s(literal 1 binary64)))))) |
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) (/.f64 v (/.f64 #s(literal 1 binary64) (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64)))))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/36 binary64)) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 e #s(literal -1/6 binary64)))) v) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))) |
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v)) |
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) e) v) (*.f64 (*.f64 (*.f64 (*.f64 v v) e) (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) v))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) e) v) (+.f64 e #s(literal 1 binary64)))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) (*.f64 v v)) (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 e (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 e #s(literal 1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 binary64))))))))))) |
| Outputs |
|---|
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v))) |
2 calls:
| 16.0ms | v |
| 14.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.2% | 1 | v |
| 55.2% | 1 | e |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
v |
(*.f64 e v) |
(-.f64 v (/.f64 v e)) |
(/.f64 e (/.f64 #s(literal 1 binary64) v)) |
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e))) |
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) e)) v) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e)) |
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)) |
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) |
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)) |
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64))) |
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)) |
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v))) |
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) |
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) |
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v)) |
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64))) |
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64))) |
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 e e))) e) v)) |
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v #s(literal 7/360 binary64)))))) v)) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 v v) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal -1/6 binary64)))))) |
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) #s(literal 1 binary64))) v)) |
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64))) |
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 v v) #s(literal 31/15120 binary64)))))))) v)) |
| Outputs |
|---|
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) #s(literal 1 binary64))) v)) |
2 calls:
| 11.0ms | e |
| 10.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.1% | 1 | e |
| 55.1% | 1 | v |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
v |
(*.f64 e v) |
(-.f64 v (/.f64 v e)) |
(/.f64 e (/.f64 #s(literal 1 binary64) v)) |
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e))) |
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) e)) v) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e)) |
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)) |
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) |
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)) |
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64))) |
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)) |
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v))) |
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) |
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) |
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v)) |
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64))) |
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64))) |
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 e e))) e) v)) |
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v #s(literal 7/360 binary64)))))) v)) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 v v) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal -1/6 binary64)))))) |
| Outputs |
|---|
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v #s(literal 7/360 binary64)))))) v)) |
2 calls:
| 11.0ms | e |
| 9.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.9% | 1 | e |
| 54.9% | 1 | v |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
v |
(*.f64 e v) |
(-.f64 v (/.f64 v e)) |
(/.f64 e (/.f64 #s(literal 1 binary64) v)) |
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e))) |
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) e)) v) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e)) |
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)) |
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) |
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)) |
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64))) |
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)) |
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v))) |
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) |
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) |
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v)) |
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64)))))) |
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64))) |
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64))) |
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 e e))) e) v)) |
| Outputs |
|---|
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v)) |
2 calls:
| 11.0ms | v |
| 8.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.9% | 1 | v |
| 54.9% | 1 | e |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
v |
(*.f64 e v) |
(-.f64 v (/.f64 v e)) |
(/.f64 e (/.f64 #s(literal 1 binary64) v)) |
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e))) |
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) e)) v) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e)) |
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)) |
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) |
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)) |
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64))) |
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)) |
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v))) |
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) |
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) |
| Outputs |
|---|
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64))) |
2 calls:
| 8.0ms | v |
| 6.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.1% | 1 | e |
| 54.1% | 1 | v |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
v |
(*.f64 e v) |
(-.f64 v (/.f64 v e)) |
(/.f64 e (/.f64 #s(literal 1 binary64) v)) |
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e))) |
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) e)) v) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e)) |
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)) |
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) |
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)) |
| Outputs |
|---|
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e))) |
2 calls:
| 6.0ms | v |
| 4.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.1% | 1 | v |
| 54.1% | 1 | e |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
v |
(*.f64 e v) |
(-.f64 v (/.f64 v e)) |
(/.f64 e (/.f64 #s(literal 1 binary64) v)) |
| Outputs |
|---|
(*.f64 e v) |
2 calls:
| 2.0ms | e |
| 2.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.9% | 1 | v |
| 53.9% | 1 | e |
Compiled 6 to 4 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
v |
| Outputs |
|---|
v |
2 calls:
| 1.0ms | v |
| 1.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.5% | 1 | v |
| 4.5% | 1 | e |
Compiled 6 to 4 computations (33.3% saved)
| 1× | egg-herbie |
| 114× | +-commutative_binary64 |
| 112× | *-commutative_binary64 |
| 68× | sub-neg_binary64 |
| 60× | neg-sub0_binary64 |
| 60× | neg-mul-1_binary64 |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 234 |
| 1 | 151 | 234 |
| 2 | 175 | 234 |
| 3 | 216 | 234 |
| 4 | 269 | 234 |
| 5 | 312 | 234 |
| 6 | 355 | 234 |
| 7 | 382 | 233 |
| 8 | 405 | 233 |
| 9 | 409 | 233 |
| 10 | 410 | 233 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) |
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 (*.f64 e e) #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64))) |
(*.f64 e (sin.f64 v)) |
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 e #s(literal -1/720 binary64)) (*.f64 #s(literal 1/6 binary64) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) #s(literal 1 binary64))) v)) |
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v))) |
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) #s(literal 1 binary64))) v)) |
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v #s(literal 7/360 binary64)))))) v)) |
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v)) |
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64))) |
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e))) |
(*.f64 e v) |
v |
| Outputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) |
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 (*.f64 e e) #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (*.f64 e e) #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64))) |
(*.f64 e (sin.f64 v)) |
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 e #s(literal -1/720 binary64)) (*.f64 #s(literal 1/6 binary64) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) #s(literal 1 binary64))) v)) |
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 e #s(literal -1/720 binary64)) (*.f64 #s(literal 1/6 binary64) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 e #s(literal -1/5040 binary64)) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) #s(literal 1/120 binary64)))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))))))))))) v)) |
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v))) |
(*.f64 e (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e #s(literal -1/2 binary64))))) v))) |
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) #s(literal 1 binary64))) v)) |
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))) v)) |
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v #s(literal 7/360 binary64)))))) v)) |
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v)) |
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64))) |
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e))) |
(*.f64 e v) |
v |
| 17 764× | accelerator-lowering-fma.f32 |
| 17 764× | accelerator-lowering-fma.f64 |
| 12 180× | accelerator-lowering-fma.f32 |
| 12 180× | accelerator-lowering-fma.f64 |
| 10 284× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 29 |
| 1 | 36 | 29 |
| 2 | 235 | 29 |
| 3 | 2095 | 29 |
| 0 | 8375 | 27 |
| 0 | 32 | 164 |
| 1 | 209 | 160 |
| 2 | 1834 | 158 |
| 0 | 9263 | 149 |
| 0 | 653 | 4826 |
| 1 | 2083 | 4516 |
| 2 | 6398 | 4505 |
| 0 | 8177 | 4207 |
| 0 | 780 | 6596 |
| 1 | 2439 | 6331 |
| 2 | 7561 | 6303 |
| 0 | 8077 | 5930 |
| 0 | 1010 | 9380 |
| 1 | 3227 | 9164 |
| 0 | 8504 | 8566 |
| 0 | 48 | 465 |
| 1 | 310 | 393 |
| 2 | 3153 | 393 |
| 0 | 8144 | 370 |
| 0 | 195 | 1209 |
| 1 | 584 | 1194 |
| 2 | 1653 | 1162 |
| 3 | 4890 | 1089 |
| 0 | 8531 | 1013 |
| 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 500 to 270 computations (46% saved)
(negabs v)
Compiled 652 to 300 computations (54% saved)
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