
Time bar (total: 6.4s)
| 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)
| 896.0ms | 8 256× | 0 | valid |
ival-sin: 201.0ms (28.6% of total)ival-cos: 160.0ms (22.8% of total)ival-mult: 108.0ms (15.4% of total)ival-add: 100.0ms (14.2% of total)ival-div: 66.0ms (9.4% 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)| 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 |
| 127.0ms | 512× | 0 | valid |
Compiled 111 to 40 computations (64% saved)
ival-add: 74.0ms (66.2% of total)ival-cos: 12.0ms (10.7% of total)ival-sin: 12.0ms (10.7% of total)ival-mult: 7.0ms (6.3% of total)ival-div: 6.0ms (5.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 63 |
| 1 | 64 | 57 |
| 2 | 152 | 55 |
| 3 | 403 | 55 |
| 4 | 1010 | 55 |
| 5 | 1559 | 55 |
| 6 | 1735 | 55 |
| 7 | 1874 | 55 |
| 8 | 2037 | 55 |
| 9 | 2453 | 55 |
| 10 | 2565 | 55 |
| 11 | 2626 | 55 |
| 12 | 2686 | 55 |
| 13 | 2691 | 55 |
| 0 | 9 | 11 |
| 0 | 15 | 11 |
| 1 | 22 | 11 |
| 2 | 25 | 11 |
| 3 | 26 | 11 |
| 0 | 26 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 e (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)))) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(negabs v)
Compiled 11 to 9 computations (18.2% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 11 to 9 computations (18.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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)))) | |
| cost-diff | 128 | (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 32 |
| 0 | 15 | 32 |
| 1 | 22 | 32 |
| 2 | 25 | 32 |
| 3 | 26 | 32 |
| 0 | 26 | 30 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(*.f64 e (sin.f64 v)) |
e |
(sin.f64 v) |
v |
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
#s(literal 1 binary64) |
(*.f64 e (cos.f64 v)) |
(cos.f64 v) |
| Outputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
e |
(sin.f64 v) |
v |
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 e (cos.f64 v)) |
(*.f64 (cos.f64 v) e) |
(cos.f64 v) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (cos.f64 v) | |
| accuracy | 0.03515625 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) | |
| accuracy | 0.1171875 | (*.f64 e (cos.f64 v)) | |
| accuracy | 0.140625 | (*.f64 e (sin.f64 v)) |
| 64.0ms | 256× | 0 | valid |
Compiled 66 to 20 computations (69.7% saved)
ival-sin: 17.0ms (39.6% of total)ival-cos: 14.0ms (32.6% of total)ival-mult: 6.0ms (14% of total)ival-div: 3.0ms (7% of total)ival-add: 2.0ms (4.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.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 e (sin.f64 v)) |
(sin.f64 v) |
(*.f64 e (cos.f64 v)) |
(cos.f64 v) |
| Outputs |
|---|
1 |
(+ 1 (* e (cos 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)))))) |
(* e (cos v)) |
(* e (+ (cos v) (/ 1 e))) |
(/ (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))))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(+ (* -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))) |
(+ 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))))))) |
(/ (* 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 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))))))) |
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)))) |
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)))))) |
(+ 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))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(sin v) |
(cos v) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | v | @ | 0 | ((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v)) |
| 4.0ms | e | @ | 0 | ((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v)) |
| 4.0ms | e | @ | -inf | ((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v)) |
| 3.0ms | e | @ | inf | ((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v)) |
| 2.0ms | v | @ | inf | ((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 195 | 834 |
| 1 | 584 | 820 |
| 2 | 1675 | 788 |
| 3 | 4986 | 730 |
| 0 | 8150 | 668 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* e (cos 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)))))) |
(* e (cos v)) |
(* e (+ (cos v) (/ 1 e))) |
(/ (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))))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(+ (* -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))) |
(+ 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))))))) |
(/ (* 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 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))))))) |
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)))) |
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)))))) |
(+ 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))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(sin v) |
(cos v) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* e (cos v))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) e (sin.f64 v)) e) |
(* 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 (fma.f64 (*.f64 (sin.f64 v) (fma.f64 (*.f64 (neg.f64 e) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (*.f64 (cos.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))))) e (sin.f64 v)) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (+ (cos v) (/ 1 e))) |
(fma.f64 (cos.f64 v) e #s(literal 1 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 (cos.f64 v) e)) #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 (cos.f64 v) e)) #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))))) |
(fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) #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 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(fma.f64 (cos.f64 v) e #s(literal 1 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 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) #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 (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 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e)) |
(+ 1 e) |
(+.f64 #s(literal 1 binary64) e) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(fma.f64 e (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
(fma.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) e) (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64))) |
(/ (* e v) (+ 1 e)) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
(* 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 (fma.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (*.f64 (*.f64 #s(literal -1/24 binary64) e) (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
(* 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 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (*.f64 (*.f64 #s(literal -1/24 binary64) e) (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) #s(literal -1/5040 binary64)) (neg.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))))))) (*.f64 v v) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (*.f64 (*.f64 #s(literal -1/24 binary64) e) (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
(* e v) |
(*.f64 v e) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(*.f64 e (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v)) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
(*.f64 (*.f64 e (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64))) v) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (*.f64 e (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) v)) v (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v e)) |
v |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v) |
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) v) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) v) |
e |
(+ e (* -1/2 (* e (pow v 2)))) |
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) |
(*.f64 e (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))) |
(fma.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) e) (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e)) |
(+ 1 (* -1/2 (pow v 2))) |
(fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) |
(sin v) |
(sin.f64 v) |
(cos v) |
(cos.f64 v) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 29 |
| 0 | 15 | 29 |
| 1 | 42 | 29 |
| 2 | 241 | 29 |
| 3 | 2143 | 29 |
| 0 | 8498 | 27 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.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 e (sin.f64 v)) |
(sin.f64 v) |
(*.f64 e (cos.f64 v)) |
(cos.f64 v) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 9 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 6 binary64))) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 4 binary64))) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) (-.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (pow.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) #s(literal 1 binary64)))))) |
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(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 v) e) (+.f64 (pow.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) (-.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))))) (neg.f64 (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (/.f64 (*.f64 (sin.f64 v) e) #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (neg.f64 e) (sin.f64 v)))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))) (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 v) e) #s(literal 1 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (+.f64 (pow.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) (-.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 (neg.f64 e) (sin.f64 v)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (sin.f64 v))) (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e))))) |
(/.f64 (*.f64 (*.f64 (sin.f64 v) e) (+.f64 (pow.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) (-.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 e) (neg.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (neg.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))) |
(/.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))) |
(neg.f64 (*.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (*.f64 (neg.f64 e) (cos.f64 v)))) |
(fma.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) (*.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)))) |
(fma.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 (cos.f64 v) e) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 (cos.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))) |
(exp.f64 (*.f64 (-.f64 (log1p.f64 (*.f64 (cos.f64 v) e)) (log.f64 (*.f64 (sin.f64 v) e))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))))) (*.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))))) |
(+.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) #s(literal 1 binary64)) (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (*.f64 (neg.f64 e) (cos.f64 v)))) |
(+.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e))) (*.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)))) |
(*.f64 (neg.f64 (neg.f64 e)) (sin.f64 v)) |
(*.f64 (neg.f64 (neg.f64 (sin.f64 v))) e) |
(*.f64 (neg.f64 e) (neg.f64 (sin.f64 v))) |
(*.f64 (neg.f64 (sin.f64 v)) (neg.f64 e)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 e) (sin.f64 v))) |
(*.f64 (*.f64 (sin.f64 v) e) #s(literal 1 binary64)) |
(*.f64 (sin.f64 v) (neg.f64 (neg.f64 e))) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (*.f64 (sin.f64 v) #s(literal 1 binary64))) |
(*.f64 e (neg.f64 (neg.f64 (sin.f64 v)))) |
(*.f64 e (sin.f64 v)) |
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 e) (sin.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 e) (sin.f64 v)))))) |
(neg.f64 (*.f64 (neg.f64 e) (sin.f64 v))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 e) (sin.f64 v))) |
(sin.f64 v) |
(*.f64 (exp.f64 (log.f64 e)) (exp.f64 (log.f64 (cos.f64 v)))) |
(*.f64 (exp.f64 (log.f64 (cos.f64 v))) (exp.f64 (log.f64 e))) |
(*.f64 (pow.f64 (cos.f64 v) #s(literal 1 binary64)) (pow.f64 e #s(literal 1 binary64))) |
(*.f64 (pow.f64 e #s(literal 1 binary64)) (pow.f64 (cos.f64 v) #s(literal 1 binary64))) |
(*.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) |
(*.f64 (cos.f64 v) e) |
(*.f64 e (cos.f64 v)) |
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) |
(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 v) e)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (cos.f64 v) e))) |
(*.f64 (cos.f64 v) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 v)) |
(cos.f64 v) |
Compiled 11 614 to 1 299 computations (88.8% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 372 | 11 | 383 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 373 | 11 | 384 |
| Status | Accuracy | Program |
|---|---|---|
| 70.9% | (pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 24.8% | (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 e) (sin.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 e) (sin.f64 v)))))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) | |
| ▶ | 98.2% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
| 99.6% | (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) | |
| 98.2% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v))) | |
| ▶ | 98.3% | (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))) |
| ▶ | 99.8% | (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
| ▶ | 99.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) |
| 97.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) | |
| ▶ | 44.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
| 96.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
Compiled 372 to 278 computations (25.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 v) | |
| cost-diff | 0 | (*.f64 (cos.f64 v) e) | |
| cost-diff | 0 | (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) | |
| cost-diff | 704 | (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))) | |
| cost-diff | 0 | (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) | |
| cost-diff | 0 | (sin.f64 v) | |
| cost-diff | 0 | (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) | |
| cost-diff | 0 | #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) | |
| cost-diff | 0 | (sin.f64 v) | |
| cost-diff | 0 | (*.f64 e (sin.f64 v)) | |
| cost-diff | 0 | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) e) | |
| cost-diff | 0 | (/.f64 e (+.f64 #s(literal 1 binary64) e)) | |
| cost-diff | 0 | (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) | |
| cost-diff | 0 | (cos.f64 v) | |
| cost-diff | 0 | (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) | |
| cost-diff | 0 | (sin.f64 v) | |
| cost-diff | 0 | (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 195 |
| 0 | 49 | 189 |
| 1 | 81 | 189 |
| 2 | 139 | 189 |
| 3 | 245 | 187 |
| 4 | 433 | 187 |
| 5 | 1046 | 182 |
| 6 | 3276 | 182 |
| 7 | 5304 | 182 |
| 8 | 6548 | 182 |
| 9 | 6971 | 182 |
| 10 | 7079 | 182 |
| 11 | 7192 | 182 |
| 12 | 7250 | 182 |
| 0 | 8052 | 182 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(sin.f64 v) |
v |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(cos.f64 v) |
e |
#s(literal 1 binary64) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(/.f64 e (+.f64 #s(literal 1 binary64) e)) |
e |
(+.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
v |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
(*.f64 e (sin.f64 v)) |
e |
(sin.f64 v) |
v |
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) |
(+.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) |
(sin.f64 v) |
v |
(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) |
(cos.f64 v) |
(/.f64 #s(literal -1 binary64) e) |
#s(literal -1 binary64) |
e |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))) |
#s(literal -1 binary64) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e)) |
(-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) |
(*.f64 (cos.f64 v) e) |
(cos.f64 v) |
v |
e |
(*.f64 (sin.f64 v) e) |
(sin.f64 v) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) |
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(sin.f64 v) |
v |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(cos.f64 v) |
e |
#s(literal 1 binary64) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v) |
(/.f64 e (+.f64 #s(literal 1 binary64) e)) |
(/.f64 e (-.f64 e #s(literal -1 binary64))) |
e |
(+.f64 #s(literal 1 binary64) e) |
(-.f64 e #s(literal -1 binary64)) |
#s(literal 1 binary64) |
v |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (-.f64 e #s(literal -1 binary64)))) |
(*.f64 e (sin.f64 v)) |
e |
(sin.f64 v) |
v |
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) |
#s(approx (+ 1 (* e (cos v))) (-.f64 e #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) e) |
(-.f64 e #s(literal -1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) |
(sin.f64 v) |
v |
(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) |
(cos.f64 v) |
(/.f64 #s(literal -1 binary64) e) |
#s(literal -1 binary64) |
e |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))) |
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) |
#s(literal -1 binary64) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (sin.f64 v)) |
(-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) |
(-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) |
(*.f64 (cos.f64 v) e) |
(*.f64 e (cos.f64 v)) |
(cos.f64 v) |
v |
e |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(sin.f64 v) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1171875 | (*.f64 (cos.f64 v) e) | |
| accuracy | 0.140625 | (*.f64 (sin.f64 v) e) | |
| accuracy | 0.25619125976844204 | (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e)) | |
| accuracy | 1.023619028491423 | (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))) | |
| accuracy | 0.0 | (sin.f64 v) | |
| accuracy | 0.0 | (cos.f64 v) | |
| accuracy | 0.0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) | |
| accuracy | 0.24609375 | (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) | |
| accuracy | 0.0 | (sin.f64 v) | |
| accuracy | 0.03515625 | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) | |
| accuracy | 0.140625 | (*.f64 e (sin.f64 v)) | |
| accuracy | 1.000462542197883 | #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) | |
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) e) | |
| accuracy | 0.02734375 | (/.f64 e (+.f64 #s(literal 1 binary64) e)) | |
| accuracy | 0.02734375 | (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) | |
| accuracy | 35.561416482144885 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) | |
| accuracy | 0.0 | (sin.f64 v) | |
| accuracy | 0.0 | (cos.f64 v) | |
| accuracy | 0.0234375 | (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) | |
| accuracy | 0.14453125 | (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
| 85.0ms | 256× | 0 | valid |
Compiled 369 to 58 computations (84.3% saved)
ival-add: 21.0ms (30.4% of total)ival-div: 20.0ms (29% of total)ival-sin: 11.0ms (15.9% of total)ival-mult: 9.0ms (13% of total)ival-cos: 5.0ms (7.2% of total)ival-sub: 2.0ms (2.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(sin.f64 v) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(cos.f64 v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(/.f64 e (+.f64 #s(literal 1 binary64) e)) |
(+.f64 #s(literal 1 binary64) e) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
(*.f64 e (sin.f64 v)) |
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) |
(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))) |
(-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) |
(*.f64 (cos.f64 v) e) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e)) |
(*.f64 (sin.f64 v) e) |
| Outputs |
|---|
(sin v) |
(+ (sin v) (* -1 (* e (* (cos v) (sin v))))) |
(+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))) |
(+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))) |
1 |
(+ 1 (* e (cos 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)))))) |
(* e v) |
(* e (+ v (* -1 (* e v)))) |
(* e (+ v (* e (- (* e v) v)))) |
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))) |
e |
(* e (+ 1 (* -1 e))) |
(* e (+ 1 (* e (- e 1)))) |
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1)))) |
(+ 1 e) |
(/ 1 e) |
(/ (+ 1 (* e (cos v))) e) |
-1 |
(- (* -1 (* e (cos v))) 1) |
(* e (cos v)) |
(/ -1 (* e (sin v))) |
(/ (- (* -1 (/ (* e (cos v)) (sin v))) (/ 1 (sin v))) e) |
(/ (sin v) (* e (cos v))) |
(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e) |
(/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) 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))))) e) |
(* e (+ (cos v) (/ 1 e))) |
(/ (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))))) |
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))) |
(- 1 (/ 1 e)) |
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e)) |
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3)))) |
(* e (+ 1 (/ 1 e))) |
(cos v) |
(+ (cos v) (/ 1 e)) |
(* -1 (* e (cos v))) |
(* -1 (* e (+ (cos v) (/ 1 e)))) |
(* -1 (/ (cos v) (sin v))) |
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e)) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e)) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(+ (* -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))) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e))) |
(+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v))) |
(* -1 (* e (- (/ 1 e) (* -1 (cos v))))) |
(/ v (+ 1 e)) |
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (* (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) (- (* (pow v 2) (- (+ (* -1 (* (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)))))))) (* 1/120 (/ 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 (+ 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)))) |
(+ 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 (* -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))) |
(/ (* 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)))) |
(* 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))))))) |
(/ v (+ 1 (/ 1 e))) |
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))) |
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))) |
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))) |
(+ 1 (/ 1 e)) |
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e))) |
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e))) |
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e))) |
(* -1 (+ 1 e)) |
(- (* 1/2 (* e (pow v 2))) (+ 1 e)) |
(- (* (pow v 2) (- (* -1/24 (* e (pow v 2))) (* -1/2 e))) (+ 1 e)) |
(- (* (pow v 2) (- (* (pow v 2) (- (* 1/720 (* e (pow v 2))) (* 1/24 e))) (* -1/2 e))) (+ 1 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)))))) |
(* -1 (/ (+ 1 e) (* e v))) |
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) v) |
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1 (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))))))) (* -1/6 (/ (+ 1 e) e)))))) v) |
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1/6 (/ (+ 1 e) e)) (* (pow v 2) (+ (* -1 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))))))) v) |
(/ (sin v) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (sin v) (+ (cos v) (/ 1 e))) |
(* -1 (+ 1 (* e (cos v)))) |
(* -1 (/ (+ 1 (* e (cos v))) (* e (sin v)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | e | @ | -inf | ((/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (- -1 (* (cos v) e)) (* (cos v) e) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (* (sin v) e)) |
| 6.0ms | v | @ | inf | ((/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (- -1 (* (cos v) e)) (* (cos v) e) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (* (sin v) e)) |
| 5.0ms | v | @ | 0 | ((/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (- -1 (* (cos v) e)) (* (cos v) e) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (* (sin v) e)) |
| 3.0ms | e | @ | 0 | ((/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (- -1 (* (cos v) e)) (* (cos v) e) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (* (sin v) e)) |
| 3.0ms | v | @ | -inf | ((/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (- -1 (* (cos v) e)) (* (cos v) e) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (* (sin v) e)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 448 | 2322 |
| 1 | 1431 | 2245 |
| 2 | 4195 | 2190 |
| 0 | 8780 | 2071 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sin v) |
(+ (sin v) (* -1 (* e (* (cos v) (sin v))))) |
(+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))) |
(+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))) |
1 |
(+ 1 (* e (cos 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)))))) |
(* e v) |
(* e (+ v (* -1 (* e v)))) |
(* e (+ v (* e (- (* e v) v)))) |
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))) |
e |
(* e (+ 1 (* -1 e))) |
(* e (+ 1 (* e (- e 1)))) |
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1)))) |
(+ 1 e) |
(/ 1 e) |
(/ (+ 1 (* e (cos v))) e) |
-1 |
(- (* -1 (* e (cos v))) 1) |
(* e (cos v)) |
(/ -1 (* e (sin v))) |
(/ (- (* -1 (/ (* e (cos v)) (sin v))) (/ 1 (sin v))) e) |
(/ (sin v) (* e (cos v))) |
(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e) |
(/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) 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))))) e) |
(* e (+ (cos v) (/ 1 e))) |
(/ (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))))) |
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))) |
(- 1 (/ 1 e)) |
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e)) |
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3)))) |
(* e (+ 1 (/ 1 e))) |
(cos v) |
(+ (cos v) (/ 1 e)) |
(* -1 (* e (cos v))) |
(* -1 (* e (+ (cos v) (/ 1 e)))) |
(* -1 (/ (cos v) (sin v))) |
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e)) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e)) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(+ (* -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))) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e))) |
(+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v))) |
(* -1 (* e (- (/ 1 e) (* -1 (cos v))))) |
(/ v (+ 1 e)) |
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (* (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) (- (* (pow v 2) (- (+ (* -1 (* (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)))))))) (* 1/120 (/ 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 (+ 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)))) |
(+ 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 (* -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))) |
(/ (* 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)))) |
(* 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))))))) |
(/ v (+ 1 (/ 1 e))) |
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))) |
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))) |
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))) |
(+ 1 (/ 1 e)) |
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e))) |
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e))) |
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e))) |
(* -1 (+ 1 e)) |
(- (* 1/2 (* e (pow v 2))) (+ 1 e)) |
(- (* (pow v 2) (- (* -1/24 (* e (pow v 2))) (* -1/2 e))) (+ 1 e)) |
(- (* (pow v 2) (- (* (pow v 2) (- (* 1/720 (* e (pow v 2))) (* 1/24 e))) (* -1/2 e))) (+ 1 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)))))) |
(* -1 (/ (+ 1 e) (* e v))) |
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) v) |
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1 (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))))))) (* -1/6 (/ (+ 1 e) e)))))) v) |
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1/6 (/ (+ 1 e) e)) (* (pow v 2) (+ (* -1 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))))))) v) |
(/ (sin v) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (sin v) (+ (cos v) (/ 1 e))) |
(* -1 (+ 1 (* e (cos v)))) |
(* -1 (/ (+ 1 (* e (cos v))) (* e (sin v)))) |
| Outputs |
|---|
(sin v) |
(sin.f64 v) |
(+ (sin v) (* -1 (* e (* (cos v) (sin v))))) |
(fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v)) |
(+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))) |
(fma.f64 (*.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e (neg.f64 (cos.f64 v)))) e (sin.f64 v)) |
(+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))) |
(fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))) e (sin.f64 v)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* e (cos v))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(*.f64 (fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v)) e) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e (neg.f64 (cos.f64 v)))) e (sin.f64 v)) e) |
(* 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 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))) e (sin.f64 v)) e) |
(* e v) |
(*.f64 e v) |
(* e (+ v (* -1 (* e v)))) |
(*.f64 (fma.f64 (neg.f64 v) e v) e) |
(* e (+ v (* e (- (* e v) v)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 e v) v) e v) e) |
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 v) e v) e (neg.f64 v)) e v) e) |
e |
(* e (+ 1 (* -1 e))) |
(*.f64 (-.f64 #s(literal 1 binary64) e) e) |
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(* 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)))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/5040 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) e) (/.f64 (-.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/120 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e)))) (fma.f64 (*.f64 (fma.f64 (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64) (*.f64 (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) #s(literal -1/720 binary64)))) (*.f64 v v) (-.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/120 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (fma.f64 (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) e)) v) v (*.f64 #s(literal -1/6 binary64) e)) (*.f64 e v)) |
(/ v (+ 1 (/ 1 e))) |
(/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) |
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) (/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) |
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/24 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 v v) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))) (/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) |
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/24 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) #s(literal -1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1/24 binary64) (/.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))) (*.f64 v v) (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/24 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 v v) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))) (/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) |
(+ 1 (/ 1 e)) |
(+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) |
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) v) v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) |
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) v) v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) |
(* -1 (+ 1 e)) |
(-.f64 #s(literal -1 binary64) e) |
(- (* 1/2 (* e (pow v 2))) (+ 1 e)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) e) v) v (-.f64 #s(literal -1 binary64) e)) |
(- (* (pow v 2) (- (* -1/24 (* e (pow v 2))) (* -1/2 e))) (+ 1 e)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/24 binary64))) v) v (-.f64 #s(literal -1 binary64) e)) |
(- (* (pow v 2) (- (* (pow v 2) (- (* 1/720 (* e (pow v 2))) (* 1/24 e))) (* -1/2 e))) (+ 1 e)) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) e (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 v v) e))) v) v (*.f64 #s(literal 1/2 binary64) e)) (*.f64 v v) (-.f64 #s(literal -1 binary64) e)) |
(+ e (* -1/2 (* e (pow v 2)))) |
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) v) v (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) |
(* -1 (/ (+ 1 e) (* e v))) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e) |
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) v) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v) |
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1 (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))))))) (* -1/6 (/ (+ 1 e) e)))))) v) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/36 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/12 binary64))) #s(literal -1/24 binary64)) v) v (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 v v) (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v) |
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1/6 (/ (+ 1 e) e)) (* (pow v 2) (+ (* -1 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))))))) v) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1/24 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/36 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/12 binary64)))) #s(literal -1/6 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/5040 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/720 binary64) #s(literal -1/240 binary64)))) #s(literal 1/720 binary64)) v) v (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/36 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/12 binary64))) #s(literal -1/24 binary64))) (*.f64 v v) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 v v) (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v) |
(/ (sin v) (+ 1 (* e (cos v)))) |
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(/ (sin v) (+ (cos v) (/ 1 e))) |
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))) |
(* -1 (+ 1 (* e (cos v)))) |
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)) |
(* -1 (/ (+ 1 (* e (cos v))) (* e (sin v)))) |
(/.f64 (/.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)) e) (sin.f64 v)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 164 |
| 0 | 49 | 163 |
| 1 | 198 | 157 |
| 2 | 1254 | 157 |
| 0 | 8581 | 157 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(sin.f64 v) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(cos.f64 v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(/.f64 e (+.f64 #s(literal 1 binary64) e)) |
(+.f64 #s(literal 1 binary64) e) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
(*.f64 e (sin.f64 v)) |
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) |
(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))) |
(-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) |
(*.f64 (cos.f64 v) e) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e)) |
(*.f64 (sin.f64 v) e) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) |
(*.f64 (*.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 v))) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (sin.f64 v) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))) |
(*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))) |
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(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))) #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (+.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))))))) (/.f64 (pow.f64 (/.f64 (cos.f64 v) (sin.f64 v)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))) #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (+.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))))))) |
(-.f64 (/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 e (sin.f64 v)) e) (cos.f64 v)) (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) (*.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 e (sin.f64 v))) (/.f64 (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 e (sin.f64 v)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (*.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 e (sin.f64 v))) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 e (sin.f64 v))) (/.f64 (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (*.f64 e (sin.f64 v)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 e) (sin.f64 v))) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v))) |
(-.f64 (*.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (cos.f64 v) (sin.f64 v)) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))) #s(literal 1 binary64)) (neg.f64 (/.f64 (cos.f64 v) (sin.f64 v)))) |
(+.f64 (*.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal -1 binary64)) (*.f64 (neg.f64 e) (cos.f64 v))) (*.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal -1 binary64)) (*.f64 (neg.f64 e) (cos.f64 v)))) |
(+.f64 (neg.f64 (/.f64 (cos.f64 v) (sin.f64 v))) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))) |
(+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))) (neg.f64 (/.f64 (cos.f64 v) (sin.f64 v)))) |
(*.f64 (neg.f64 e) (neg.f64 (sin.f64 v))) |
(*.f64 (neg.f64 (sin.f64 v)) (neg.f64 e)) |
(*.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 e) (sin.f64 v))) |
(*.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) #s(literal -1 binary64)) |
(/.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (sin.f64 v)) #s(literal -1 binary64))) |
(neg.f64 (*.f64 (neg.f64 e) (sin.f64 v))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 e) (sin.f64 v))) |
Compiled 25 556 to 3 125 computations (87.8% saved)
31 alts after pruning (27 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 936 | 25 | 961 |
| Fresh | 4 | 2 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 941 | 31 | 972 |
| Status | Accuracy | Program |
|---|---|---|
| 70.9% | (pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| ✓ | 98.2% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
| 98.2% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (fma.f64 e e #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64)))))) | |
| 43.5% | (/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) | |
| 98.0% | (/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))) | |
| 98.1% | (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (*.f64 (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 1 binary64))) e) (*.f64 e (*.f64 (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 1 binary64))))) | |
| 69.3% | (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e) (*.f64 e (/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v)))) (*.f64 e e))) | |
| 92.4% | (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v)) (*.f64 (sin.f64 v) (*.f64 (/.f64 (cos.f64 v) e) e))) (pow.f64 (sin.f64 v) #s(literal 2 binary64)))) | |
| 94.5% | (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (- -1 (* (cos v) e)) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e))) | |
| ▶ | 44.0% | (/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))) |
| 43.0% | (/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e))) | |
| ✓ | 99.8% | (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
| 96.0% | (*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) | |
| 44.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))) | |
| ▶ | 99.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))) |
| 38.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 e #s(literal -2 binary64)) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) (fma.f64 (/.f64 (pow.f64 e #s(literal -2 binary64)) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) (/.f64 (pow.f64 e #s(literal -2 binary64)) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) (*.f64 (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) (/.f64 (pow.f64 e #s(literal -2 binary64)) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))))))))) | |
| ✓ | 99.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) |
| 95.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))) | |
| ▶ | 44.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
| 43.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) | |
| 98.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v)))) | |
| 43.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) | |
| ▶ | 97.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
| 63.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64)))) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))))) | |
| ✓ | 44.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
| 44.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) | |
| 2.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) | |
| 43.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) | |
| 2.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) | |
| 43.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e))) | |
| ▶ | 42.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
Compiled 1 445 to 926 computations (35.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 e) | |
| cost-diff | 0 | (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) | |
| cost-diff | 0 | (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) | |
| cost-diff | 0 | #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))) | |
| cost-diff | 320 | (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) e) | |
| cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) e) e) | |
| cost-diff | 0 | (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) | |
| cost-diff | 0 | (*.f64 e v) | |
| cost-diff | 0 | #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) | |
| cost-diff | 0 | (sin.f64 v) | |
| cost-diff | 0 | (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))) | |
| cost-diff | 6656 | (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 324 |
| 0 | 72 | 315 |
| 1 | 122 | 315 |
| 2 | 205 | 315 |
| 3 | 418 | 311 |
| 4 | 1268 | 311 |
| 5 | 3168 | 308 |
| 6 | 6977 | 308 |
| 0 | 8099 | 301 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))) |
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))) |
(sin.f64 v) |
v |
(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)) |
(pow.f64 e #s(literal -1/2 binary64)) |
e |
#s(literal -1/2 binary64) |
(cos.f64 v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)) |
(*.f64 e v) |
e |
v |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) |
v |
(/.f64 (+.f64 #s(literal 1 binary64) e) e) |
(+.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
e |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))) |
#s(literal -1 binary64) |
#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v) |
(fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) |
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) |
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) e) e) |
(+.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
e |
#s(literal -1/6 binary64) |
#s(literal 1/2 binary64) |
v |
(/.f64 (-.f64 #s(literal -1 binary64) e) e) |
(-.f64 #s(literal -1 binary64) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) |
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) |
(neg.f64 e) |
e |
(cos.f64 v) |
v |
#s(literal 1 binary64) |
(*.f64 (sin.f64 v) e) |
(sin.f64 v) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))) |
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))) |
(/.f64 (sin.f64 v) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))) |
(sin.f64 v) |
v |
(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)) |
(+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) |
(pow.f64 e #s(literal -1/2 binary64)) |
e |
#s(literal -1/2 binary64) |
(cos.f64 v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 v e))) |
#s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)) |
#s(approx (* (/ e (+ 1 e)) v) (*.f64 v e)) |
(*.f64 e v) |
(*.f64 v e) |
e |
v |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (-.f64 e #s(literal -1 binary64)) e))) |
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) |
(/.f64 v (/.f64 (-.f64 e #s(literal -1 binary64)) e)) |
v |
(/.f64 (+.f64 #s(literal 1 binary64) e) e) |
(/.f64 (-.f64 e #s(literal -1 binary64)) e) |
(+.f64 #s(literal 1 binary64) e) |
(-.f64 e #s(literal -1 binary64)) |
#s(literal 1 binary64) |
e |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 e #s(literal -1 binary64)) e) #s(literal 1/2 binary64)) v (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) v)))) |
#s(literal -1 binary64) |
#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)) |
#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 e #s(literal -1 binary64)) e) #s(literal 1/2 binary64)) v (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) v))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 e #s(literal -1 binary64)) e) #s(literal 1/2 binary64)) v (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) v)) |
(fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 e #s(literal -1 binary64)) e) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) |
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 e #s(literal -1 binary64)) e) #s(literal 1/2 binary64)) v) |
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 e #s(literal -1 binary64)) e) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) e) e) |
(/.f64 (-.f64 e #s(literal -1 binary64)) e) |
(+.f64 #s(literal 1 binary64) e) |
(-.f64 e #s(literal -1 binary64)) |
#s(literal 1 binary64) |
e |
#s(literal -1/6 binary64) |
#s(literal 1/2 binary64) |
v |
(/.f64 (-.f64 #s(literal -1 binary64) e) e) |
(-.f64 #s(literal -1 binary64) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v))) |
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) |
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)) |
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) |
(neg.f64 e) |
e |
(cos.f64 v) |
v |
#s(literal 1 binary64) |
(*.f64 (sin.f64 v) e) |
(sin.f64 v) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (cos.f64 v) | |
| accuracy | 0.029628759768442016 | (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) | |
| accuracy | 0.140625 | (*.f64 (sin.f64 v) e) | |
| accuracy | 1.2195366751833374 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) | |
| accuracy | 0.39453125 | (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 1.023619028491423 | (/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))) | |
| accuracy | 11.645833025372731 | (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v) | |
| accuracy | 35.699789914153634 | #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)) | |
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) e) | |
| accuracy | 0.03125 | (/.f64 (+.f64 #s(literal 1 binary64) e) e) | |
| accuracy | 0.234375 | (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) | |
| accuracy | 35.561416482144885 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) | |
| accuracy | 0.0 | (*.f64 e v) | |
| accuracy | 2.4948367524064503 | #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)) | |
| accuracy | 35.561416482144885 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) | |
| accuracy | 0.0 | (cos.f64 v) | |
| accuracy | 0.0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))) | |
| accuracy | 0.24609375 | (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))) | |
| accuracy | 0.4834175293053261 | (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)) |
| 91.0ms | 256× | 0 | valid |
Compiled 571 to 90 computations (84.2% saved)
ival-mult: 18.0ms (26% of total)ival-div: 15.0ms (21.7% of total)ival-sin: 10.0ms (14.4% of total)ival-add: 7.0ms (10.1% of total)ival-cos: 6.0ms (8.7% of total)ival-pow: 6.0ms (8.7% of total)const: 4.0ms (5.8% of total)ival-sub: 2.0ms (2.9% of total)exact: 1.0ms (1.4% of total)ival-neg: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))) |
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))) |
(sin.f64 v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)) |
(*.f64 e v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) |
(/.f64 (+.f64 #s(literal 1 binary64) e) e) |
(+.f64 #s(literal 1 binary64) e) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))) |
#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)) |
(fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) |
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) |
(neg.f64 e) |
(cos.f64 v) |
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 v) e) |
| Outputs |
|---|
(/ 1 e) |
(/ (+ 1 (* e (cos v))) e) |
(* 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)))))) |
(* e v) |
(* e (+ v (* -1 (* e v)))) |
(* e (+ v (* e (- (* e v) v)))) |
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))) |
(/ (+ 1 e) e) |
1 |
(+ 1 e) |
(/ (- (* -1/6 (pow v 2)) 1) (* e v)) |
(/ (- (+ (* -1/6 v) (* e (- (* 1/3 v) (/ 1 v)))) (/ 1 v)) e) |
(/ -1 (* e (sin v))) |
(/ (- (* -1 (/ (* e (cos v)) (sin v))) (/ 1 (sin v))) e) |
(/ (- (* -1/6 (pow v 2)) 1) e) |
(/ (- (+ (* -1/6 (pow v 2)) (* e (- (* 1/3 (pow v 2)) 1))) 1) e) |
(+ 1 (* -1 (* e (cos v)))) |
(* -1 e) |
(/ -1/6 e) |
(/ (- (* 1/3 e) 1/6) e) |
(cos v) |
(+ (cos v) (/ 1 e)) |
(/ (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))))) |
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))) |
(+ 1 (/ 1 e)) |
e |
(* e (+ 1 (/ 1 e))) |
(/ (- (* 1/3 (pow v 2)) 1) v) |
(- (+ (* -1/6 (/ v e)) (* 1/3 v)) (+ (/ 1 v) (/ 1 (* e v)))) |
(* -1 (/ (cos v) (sin v))) |
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))) |
(- (* 1/3 (pow v 2)) 1) |
(- (+ (* -1/6 (/ (pow v 2) e)) (* 1/3 (pow v 2))) (+ 1 (/ 1 e))) |
(* -1 (* (pow e 2) (* (cos v) (sin v)))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* -1 (* e (cos v))) |
(* e (+ (* -1 (cos v)) (/ 1 e))) |
1/3 |
(- 1/3 (* 1/6 (/ 1 e))) |
(+ (cos v) (* -1 (/ (pow (sqrt -1) 2) e))) |
(+ (* -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))) |
(+ (/ (sin v) (cos v)) (/ (* (sin v) (pow (sqrt -1) 2)) (* e (pow (cos v) 2)))) |
(+ (* -1 (/ (- (* -1 (/ (* (sin v) (pow (sqrt -1) 4)) (* e (pow (cos v) 3)))) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (- (* -1 (/ (- (/ (* (sin v) (pow (sqrt -1) 6)) (* e (pow (cos v) 4))) (* -1 (/ (* (sin v) (pow (sqrt -1) 4)) (pow (cos v) 3)))) e)) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
(- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v)) |
(- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 1) |
(* -1 (* e (- (cos v) (/ 1 e)))) |
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e))) |
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e))) |
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e))) |
(/ (* 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)))) |
(/ v (+ 1 (/ 1 e))) |
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))) |
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))) |
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))) |
(* 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)))) |
(* -1 (/ (+ 1 e) (* e v))) |
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) v) |
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1 (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))))))) (* -1/6 (/ (+ 1 e) e)))))) v) |
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1/6 (/ (+ 1 e) e)) (* (pow v 2) (+ (* -1 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))))))) v) |
(* -1 (/ (+ 1 e) e)) |
(+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) |
(* e (* v (+ 1 (* -1 e)))) |
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e))))) |
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))))))) |
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e)))))))))))) |
(+ 1 (* -1 e)) |
(+ 1 (+ (* -1 e) (* 1/2 (* e (pow v 2))))) |
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e))))) |
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2))))))))) |
(+ 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))) |
(* 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)) (+ 1 (* e (cos v)))) |
(/ (sin v) (+ (cos v) (/ 1 e))) |
(sin v) |
(* v (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) |
(* v (+ 1/2 (+ (* -1 (/ (+ 1 e) (* e (pow v 2)))) (* -1/6 (/ (+ 1 e) e))))) |
(* -1 (/ (+ 1 (* e (cos v))) (* e (sin v)))) |
(* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) |
(* (pow v 2) (+ 1/2 (+ (* -1 (/ (+ 1 e) (* e (pow v 2)))) (* -1/6 (/ (+ 1 e) e))))) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(* -1 (* v (+ (* -1 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | e | @ | inf | ((+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ v (/ (+ 1 e) e)) (/ (+ 1 e) e) (+ 1 e) (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (cos v) (+ (* (/ (+ 1 e) e) -1/6) 1/2) (* (sin v) e)) |
| 9.0ms | v | @ | -inf | ((+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ v (/ (+ 1 e) e)) (/ (+ 1 e) e) (+ 1 e) (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (cos v) (+ (* (/ (+ 1 e) e) -1/6) 1/2) (* (sin v) e)) |
| 7.0ms | v | @ | 0 | ((+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ v (/ (+ 1 e) e)) (/ (+ 1 e) e) (+ 1 e) (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (cos v) (+ (* (/ (+ 1 e) e) -1/6) 1/2) (* (sin v) e)) |
| 6.0ms | e | @ | -inf | ((+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ v (/ (+ 1 e) e)) (/ (+ 1 e) e) (+ 1 e) (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (cos v) (+ (* (/ (+ 1 e) e) -1/6) 1/2) (* (sin v) e)) |
| 4.0ms | v | @ | inf | ((+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ v (/ (+ 1 e) e)) (/ (+ 1 e) e) (+ 1 e) (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (cos v) (+ (* (/ (+ 1 e) e) -1/6) 1/2) (* (sin v) e)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 469 | 2090 |
| 1 | 1518 | 1997 |
| 2 | 4701 | 1867 |
| 0 | 8535 | 1754 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 e) |
(/ (+ 1 (* e (cos v))) e) |
(* 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)))))) |
(* e v) |
(* e (+ v (* -1 (* e v)))) |
(* e (+ v (* e (- (* e v) v)))) |
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))) |
(/ (+ 1 e) e) |
1 |
(+ 1 e) |
(/ (- (* -1/6 (pow v 2)) 1) (* e v)) |
(/ (- (+ (* -1/6 v) (* e (- (* 1/3 v) (/ 1 v)))) (/ 1 v)) e) |
(/ -1 (* e (sin v))) |
(/ (- (* -1 (/ (* e (cos v)) (sin v))) (/ 1 (sin v))) e) |
(/ (- (* -1/6 (pow v 2)) 1) e) |
(/ (- (+ (* -1/6 (pow v 2)) (* e (- (* 1/3 (pow v 2)) 1))) 1) e) |
(+ 1 (* -1 (* e (cos v)))) |
(* -1 e) |
(/ -1/6 e) |
(/ (- (* 1/3 e) 1/6) e) |
(cos v) |
(+ (cos v) (/ 1 e)) |
(/ (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))))) |
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))) |
(+ 1 (/ 1 e)) |
e |
(* e (+ 1 (/ 1 e))) |
(/ (- (* 1/3 (pow v 2)) 1) v) |
(- (+ (* -1/6 (/ v e)) (* 1/3 v)) (+ (/ 1 v) (/ 1 (* e v)))) |
(* -1 (/ (cos v) (sin v))) |
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))) |
(- (* 1/3 (pow v 2)) 1) |
(- (+ (* -1/6 (/ (pow v 2) e)) (* 1/3 (pow v 2))) (+ 1 (/ 1 e))) |
(* -1 (* (pow e 2) (* (cos v) (sin v)))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* -1 (* e (cos v))) |
(* e (+ (* -1 (cos v)) (/ 1 e))) |
1/3 |
(- 1/3 (* 1/6 (/ 1 e))) |
(+ (cos v) (* -1 (/ (pow (sqrt -1) 2) e))) |
(+ (* -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))) |
(+ (/ (sin v) (cos v)) (/ (* (sin v) (pow (sqrt -1) 2)) (* e (pow (cos v) 2)))) |
(+ (* -1 (/ (- (* -1 (/ (* (sin v) (pow (sqrt -1) 4)) (* e (pow (cos v) 3)))) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (- (* -1 (/ (- (/ (* (sin v) (pow (sqrt -1) 6)) (* e (pow (cos v) 4))) (* -1 (/ (* (sin v) (pow (sqrt -1) 4)) (pow (cos v) 3)))) e)) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
(- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v)) |
(- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 1) |
(* -1 (* e (- (cos v) (/ 1 e)))) |
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e))) |
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e))) |
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e))) |
(/ (* 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)))) |
(/ v (+ 1 (/ 1 e))) |
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))) |
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))) |
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))) |
(* 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)))) |
(* -1 (/ (+ 1 e) (* e v))) |
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) v) |
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1 (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))))))) (* -1/6 (/ (+ 1 e) e)))))) v) |
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1/6 (/ (+ 1 e) e)) (* (pow v 2) (+ (* -1 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))))))) v) |
(* -1 (/ (+ 1 e) e)) |
(+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) |
(* e (* v (+ 1 (* -1 e)))) |
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e))))) |
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))))))) |
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e)))))))))))) |
(+ 1 (* -1 e)) |
(+ 1 (+ (* -1 e) (* 1/2 (* e (pow v 2))))) |
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e))))) |
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2))))))))) |
(+ 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))) |
(* 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)) (+ 1 (* e (cos v)))) |
(/ (sin v) (+ (cos v) (/ 1 e))) |
(sin v) |
(* v (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) |
(* v (+ 1/2 (+ (* -1 (/ (+ 1 e) (* e (pow v 2)))) (* -1/6 (/ (+ 1 e) e))))) |
(* -1 (/ (+ 1 (* e (cos v))) (* e (sin v)))) |
(* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) |
(* (pow v 2) (+ 1/2 (+ (* -1 (/ (+ 1 e) (* e (pow v 2)))) (* -1/6 (/ (+ 1 e) e))))) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(* -1 (* v (+ (* -1 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))))) |
| Outputs |
|---|
(/ 1 e) |
(/.f64 #s(literal 1 binary64) e) |
(/ (+ 1 (* e (cos v))) e) |
(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) (sin.f64 v)) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) e (sin.f64 v)) e) |
(* 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 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (*.f64 (sin.f64 v) (fma.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64))) e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) e (sin.f64 v)) e) |
(* e v) |
(*.f64 v e) |
(* e (+ v (* -1 (* e v)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v) |
(* e (+ v (* e (- (* e v) v)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e) |
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))) |
(*.f64 (fma.f64 (*.f64 v (fma.f64 (-.f64 #s(literal 1 binary64) e) e #s(literal -1 binary64))) e v) e) |
(/ (+ 1 e) e) |
(/.f64 (+.f64 #s(literal 1 binary64) e) e) |
1 |
#s(literal 1 binary64) |
(+ 1 e) |
(+.f64 #s(literal 1 binary64) e) |
(/ (- (* -1/6 (pow v 2)) 1) (* e v)) |
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) v) e) |
(/ (- (+ (* -1/6 v) (* e (- (* 1/3 v) (/ 1 v)))) (/ 1 v)) e) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) e (fma.f64 #s(literal -1/6 binary64) v (/.f64 #s(literal -1 binary64) v))) e) |
(/ -1 (* e (sin v))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e) |
(/ (- (* -1 (/ (* e (cos v)) (sin v))) (/ 1 (sin v))) e) |
(/.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 v))) e) |
(/ (- (* -1/6 (pow v 2)) 1) e) |
(/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) e) |
(/ (- (+ (* -1/6 (pow v 2)) (* e (- (* 1/3 (pow v 2)) 1))) 1) e) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) v) v #s(literal -1 binary64)) e (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64))) e) |
(+ 1 (* -1 (* e (cos v)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) |
(* -1 e) |
(neg.f64 e) |
(/ -1/6 e) |
(/.f64 #s(literal -1/6 binary64) e) |
(/ (- (* 1/3 e) 1/6) e) |
(-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) |
(cos v) |
(cos.f64 v) |
(+ (cos v) (/ 1 e)) |
(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) |
(/ (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 (sin.f64 v) (cos.f64 v)) (-.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))))) |
(- (+ (* -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 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (pow.f64 e #s(literal 3 binary64))))) (-.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))))) |
v |
(+ v (* -1 (/ v e))) |
(-.f64 v (/.f64 v e)) |
(- (+ v (/ v (pow e 2))) (/ v e)) |
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) |
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) |
(-.f64 (-.f64 v (/.f64 v (pow.f64 e #s(literal 3 binary64)))) (/.f64 (-.f64 v (/.f64 v e)) e)) |
(+ 1 (/ 1 e)) |
(+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) |
e |
(* e (+ 1 (/ 1 e))) |
(+.f64 #s(literal 1 binary64) e) |
(/ (- (* 1/3 (pow v 2)) 1) v) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) v) v #s(literal -1 binary64)) v) |
(- (+ (* -1/6 (/ v e)) (* 1/3 v)) (+ (/ 1 v) (/ 1 (* e v)))) |
(-.f64 (fma.f64 v (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) (/.f64 #s(literal -1 binary64) v)) (/.f64 (/.f64 #s(literal 1 binary64) v) e)) |
(* -1 (/ (cos v) (sin v))) |
(/.f64 (neg.f64 (cos.f64 v)) (sin.f64 v)) |
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))) |
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e) (/.f64 (cos.f64 v) (sin.f64 v))) |
(- (* 1/3 (pow v 2)) 1) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) v) v #s(literal -1 binary64)) |
(- (+ (* -1/6 (/ (pow v 2) e)) (* 1/3 (pow v 2))) (+ 1 (/ 1 e))) |
(fma.f64 (*.f64 v v) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) e))) |
(* -1 (* (pow e 2) (* (cos v) (sin v)))) |
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(fma.f64 (*.f64 e (fma.f64 (*.f64 v v) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) |
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2))))))))) |
(fma.f64 (fma.f64 (*.f64 e (fma.f64 (*.f64 #s(literal 1/720 binary64) v) v #s(literal -1/24 binary64))) (*.f64 v v) (*.f64 #s(literal 1/2 binary64) e)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) |
(+ 1 (* -1/2 (pow v 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)) |
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) e) v) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
(*.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v v) e) v) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) v) v (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v e)) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(/ (sin v) (+ (cos v) (/ 1 e))) |
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) |
(sin v) |
(sin.f64 v) |
(* v (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) v) |
(* v (+ 1/2 (+ (* -1 (/ (+ 1 e) (* e (pow v 2)))) (* -1/6 (/ (+ 1 e) e))))) |
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) v) |
(* -1 (/ (+ 1 (* e (cos v))) (* e (sin v)))) |
(/.f64 (/.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)) e) (sin.f64 v)) |
(* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) v) v) |
(* (pow v 2) (+ 1/2 (+ (* -1 (/ (+ 1 e) (* e (pow v 2)))) (* -1/6 (/ (+ 1 e) e))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) v) v) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) (sin.f64 v)) |
(* -1 (* v (+ (* -1 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) v) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) e) v)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64))) (neg.f64 v)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 274 |
| 0 | 72 | 265 |
| 1 | 284 | 265 |
| 2 | 1975 | 265 |
| 0 | 8282 | 256 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))) |
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))) |
(sin.f64 v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)) |
(*.f64 e v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) |
(/.f64 (+.f64 #s(literal 1 binary64) e) e) |
(+.f64 #s(literal 1 binary64) e) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))) |
#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)) |
(fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) |
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) |
(neg.f64 e) |
(cos.f64 v) |
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 v) e) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 e #s(literal -2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (pow.f64 (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))) (pow.f64 (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) (-.f64 (pow.f64 e #s(literal -2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64)))) (neg.f64 (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 e #s(literal -2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 e #s(literal -2 binary64)) (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))) (*.f64 (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 e #s(literal -2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64)))) (neg.f64 (fma.f64 (cos.f64 v) (cos.f64 v) (-.f64 (pow.f64 e #s(literal -2 binary64)) (*.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64)))) (neg.f64 (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64))))) |
(/.f64 (-.f64 (pow.f64 e #s(literal -2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))) (fma.f64 (cos.f64 v) (cos.f64 v) (-.f64 (pow.f64 e #s(literal -2 binary64)) (*.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))) (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) (-.f64 (pow.f64 e #s(literal -2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) (-.f64 (pow.f64 e #s(literal -2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))))) |
(fma.f64 (pow.f64 e #s(literal -3/4 binary64)) (pow.f64 e #s(literal -1/4 binary64)) (cos.f64 v)) |
(fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v)) |
(fma.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64) (cos.f64 v)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) |
(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)) |
(-.f64 (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) (/.f64 (pow.f64 e #s(literal -2 binary64)) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))))) |
(-.f64 (/.f64 (pow.f64 e #s(literal -2 binary64)) (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))) (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))) |
(+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) |
(+.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))) |
(*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 e #s(literal -2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 e #s(literal -2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))) |
(*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64)))) (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) #s(literal -1 binary64)) (sin.f64 v)) |
(*.f64 (neg.f64 (sin.f64 v)) (pow.f64 (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))) #s(literal -1 binary64))) |
(*.f64 (sin.f64 v) (pow.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))) |
(pow.f64 (/.f64 (/.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) (sin.f64 v)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) (sin.f64 v)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 v) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 v)))) (neg.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))))) |
(/.f64 (*.f64 (sin.f64 v) #s(literal 1 binary64)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 v))) (neg.f64 (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))) |
(/.f64 (neg.f64 (sin.f64 v)) (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) (sin.f64 v)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) (sin.f64 v)))) |
(/.f64 (sin.f64 v) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) (sin.f64 v))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) (sin.f64 v)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) (sin.f64 v))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 v)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))) |
(neg.f64 (/.f64 (sin.f64 v) (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))) (/.f64 (sin.f64 v) (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) (sin.f64 v))) #s(literal -1 binary64))) |
(sin.f64 v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 v e))) |
#s(approx (* (/ e (+ 1 e)) v) (*.f64 v e)) |
(*.f64 v e) |
(*.f64 e v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
(*.f64 (/.f64 (neg.f64 e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (/.f64 v (pow.f64 (+.f64 #s(literal -1 binary64) e) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 e) (-.f64 #s(literal -1 binary64) (pow.f64 e #s(literal 3 binary64)))) (/.f64 v (pow.f64 (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 v (-.f64 #s(literal -1 binary64) (pow.f64 e #s(literal 3 binary64)))) (/.f64 (neg.f64 e) (pow.f64 (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 v #s(literal -1 binary64)) (/.f64 (neg.f64 e) (+.f64 #s(literal 1 binary64) e))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) (/.f64 v (-.f64 #s(literal -1 binary64) e))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64))) (/.f64 v (+.f64 #s(literal 1 binary64) e))) |
(*.f64 (/.f64 (/.f64 v (-.f64 #s(literal 1 binary64) (*.f64 e e))) (pow.f64 e #s(literal -3/4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) e) (pow.f64 e #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 (/.f64 v (-.f64 #s(literal 1 binary64) (*.f64 e e))) (pow.f64 e #s(literal -1/4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) e) (pow.f64 e #s(literal -3/4 binary64)))) |
(*.f64 (/.f64 (/.f64 v (-.f64 #s(literal 1 binary64) (*.f64 e e))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) e) (pow.f64 e #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 v (-.f64 #s(literal 1 binary64) (*.f64 e e))) (pow.f64 e #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) e) (pow.f64 e #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 v (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 e #s(literal -3/4 binary64))) (/.f64 (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 e #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 (/.f64 v (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 e #s(literal -1/4 binary64))) (/.f64 (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 e #s(literal -3/4 binary64)))) |
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(fma.f64 e (neg.f64 (cos.f64 v)) #s(literal 1 binary64)) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (pow.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (cos.f64 v))) |
(-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) |
(+.f64 (*.f64 (neg.f64 e) (cos.f64 v)) #s(literal 1 binary64)) |
(+.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (neg.f64 e) (cos.f64 v))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 e) (cos.f64 v)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (cos.f64 v))) |
(+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) |
(*.f64 #s(literal -1 binary64) e) |
(*.f64 e #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 e) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 e e) (*.f64 #s(literal 0 binary64) (neg.f64 e))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e))) (neg.f64 (+.f64 #s(literal 0 binary64) e))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 e #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 e e (*.f64 #s(literal 0 binary64) e))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) (+.f64 #s(literal 0 binary64) e)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 e #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 e e (*.f64 #s(literal 0 binary64) e)))) |
(neg.f64 e) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) e)) (/.f64 (*.f64 e e) (+.f64 #s(literal 0 binary64) e))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 e e (*.f64 #s(literal 0 binary64) e)))) (/.f64 (pow.f64 e #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 e e (*.f64 #s(literal 0 binary64) e))))) |
(-.f64 #s(literal 0 binary64) e) |
(+.f64 #s(literal 0 binary64) (neg.f64 e)) |
(cos.f64 v) |
(*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/12 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/12 binary64)))) (fma.f64 #s(literal -1/216 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/12 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e)) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/12 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/12 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e)) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/12 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/12 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/12 binary64)))) (fma.f64 #s(literal -1/216 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 3 binary64)) #s(literal 1/8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/12 binary64)))) (fma.f64 #s(literal -1/216 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) |
(fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal -1/6 binary64) e) (/.f64 (-.f64 #s(literal -1 binary64) e) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) #s(literal -1 binary64)) (/.f64 #s(literal -1/6 binary64) e) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)) (pow.f64 e #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (+.f64 #s(literal 1 binary64) e) (/.f64 #s(literal -1/6 binary64) e) #s(literal 1/2 binary64)) |
(fma.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e))) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
Compiled 31 798 to 3 833 computations (87.9% saved)
38 alts after pruning (32 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 774 | 17 | 791 |
| Fresh | 7 | 15 | 22 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 784 | 38 | 822 |
| Status | Accuracy | Program |
|---|---|---|
| 70.9% | (pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| ✓ | 98.2% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
| 98.2% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (fma.f64 e e #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64)))))) | |
| 43.5% | (/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) | |
| 98.0% | (/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))) | |
| 98.1% | (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (*.f64 (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 1 binary64))) e) (*.f64 e (*.f64 (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 1 binary64))))) | |
| 94.5% | (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (- -1 (* (cos v) e)) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e))) | |
| 44.0% | (/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) v) v (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64))) (*.f64 v v) (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))) | |
| 44.0% | (/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))) | |
| 44.0% | (/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (/ (+ 1 e) e) -1/6) 1/2) (/.f64 #s(literal -1/6 binary64) e)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))) | |
| ▶ | 94.4% | (/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e))) |
| 5.7% | (/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (fma.f64 (*.f64 #s(literal 1/3 binary64) v) v #s(literal -1 binary64))) v))) | |
| 41.7% | (/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) e)) v))) | |
| 4.9% | (/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) v) v)) v))) | |
| 41.7% | (/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) v) e)))) | |
| ▶ | 44.0% | (/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e))))) |
| 5.0% | (/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) v)))) | |
| ✓ | 99.8% | (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
| 96.0% | (*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) | |
| 44.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))) | |
| ▶ | 99.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v)))) |
| ✓ | 99.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))) |
| ✓ | 99.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) |
| 95.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))) | |
| 42.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e))) | |
| 98.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v)))) | |
| 43.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) | |
| ✓ | 44.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
| 44.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) | |
| 97.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) (sin.f64 v))) | |
| 2.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) | |
| 43.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) | |
| 97.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))) | |
| 2.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) | |
| ▶ | 43.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e))) |
| ✓ | 42.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
| 68.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e)))) | |
| ▶ | 42.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
Compiled 1 986 to 1 381 computations (30.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (sin.f64 v)) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e) | |
| cost-diff | 0 | #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e))) | |
| cost-diff | 0 | (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)) | |
| cost-diff | 0 | #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e))) | |
| cost-diff | 0 | #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e))))) | |
| cost-diff | 0 | (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) | |
| cost-diff | 0 | #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) | |
| cost-diff | 128 | (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) | |
| cost-diff | 0 | (fma.f64 (neg.f64 v) e v) | |
| cost-diff | 0 | (*.f64 (fma.f64 (neg.f64 v) e v) e) | |
| cost-diff | 0 | #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e))) | |
| cost-diff | 0 | (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v)) | |
| cost-diff | 0 | (sin.f64 v) | |
| cost-diff | 0 | (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v))) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 474 |
| 0 | 103 | 474 |
| 1 | 183 | 472 |
| 2 | 355 | 472 |
| 3 | 918 | 464 |
| 4 | 2852 | 464 |
| 5 | 6236 | 458 |
| 0 | 8164 | 447 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v)))) |
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v))) |
(sin.f64 v) |
v |
(fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v)) |
(pow.f64 e #s(literal -1/4 binary64)) |
e |
#s(literal -1/4 binary64) |
(pow.f64 e #s(literal -3/4 binary64)) |
#s(literal -3/4 binary64) |
(cos.f64 v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e))) |
#s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)) |
(*.f64 (fma.f64 (neg.f64 v) e v) e) |
(fma.f64 (neg.f64 v) e v) |
(neg.f64 v) |
v |
e |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))) |
(*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) |
(*.f64 v e) |
v |
e |
(fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) |
(+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) |
#s(literal -1/6 binary64) |
(*.f64 e #s(literal 2/3 binary64)) |
#s(literal 2/3 binary64) |
(*.f64 v v) |
(-.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e))))) |
#s(literal -1 binary64) |
#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)))) |
#s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e))) |
(-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)) |
(fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) |
#s(literal 1/3 binary64) |
v |
(/.f64 #s(literal -1 binary64) v) |
(/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e) |
(fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) |
#s(literal 1/6 binary64) |
(/.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
e |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e))) |
#s(literal -1 binary64) |
#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e)) |
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e) |
(/.f64 #s(literal -1 binary64) (sin.f64 v)) |
(sin.f64 v) |
v |
e |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -3/4 binary64)) (pow.f64 e #s(literal -1/4 binary64)) (cos.f64 v)))) |
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v))) |
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -3/4 binary64)) (pow.f64 e #s(literal -1/4 binary64)) (cos.f64 v))) |
(sin.f64 v) |
v |
(fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v)) |
(fma.f64 (pow.f64 e #s(literal -3/4 binary64)) (pow.f64 e #s(literal -1/4 binary64)) (cos.f64 v)) |
(pow.f64 e #s(literal -1/4 binary64)) |
e |
#s(literal -1/4 binary64) |
(pow.f64 e #s(literal -3/4 binary64)) |
#s(literal -3/4 binary64) |
(cos.f64 v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e))) |
#s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)) |
(*.f64 (fma.f64 (neg.f64 v) e v) e) |
(fma.f64 (neg.f64 v) e v) |
(neg.f64 v) |
v |
e |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (neg.f64 e)) v v) e))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (neg.f64 e)) v v) e)) |
(*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (neg.f64 e)) v v) e) |
(*.f64 v e) |
v |
e |
(fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) |
(+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) |
(fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 e #s(literal 2/3 binary64)) |
(*.f64 #s(literal 2/3 binary64) e) |
#s(literal 2/3 binary64) |
(*.f64 v v) |
(-.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e))))) |
#s(literal -1 binary64) |
#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)))) |
#s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e))) |
(-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)) |
(fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) |
#s(literal 1/3 binary64) |
v |
(/.f64 #s(literal -1 binary64) v) |
(/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e) |
(fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) |
#s(literal 1/6 binary64) |
(/.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
e |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e))) |
#s(literal -1 binary64) |
#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e)) |
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e) |
(/.f64 #s(literal -1 binary64) (sin.f64 v)) |
(sin.f64 v) |
v |
e |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.14453125 | (/.f64 #s(literal -1 binary64) (sin.f64 v)) | |
| accuracy | 0.2421875 | (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e) | |
| accuracy | 1.023619028491423 | (/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e))) | |
| accuracy | 2.4684072807414887 | #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e)) | |
| accuracy | 0.234375 | (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) | |
| accuracy | 0.23828125 | (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) | |
| accuracy | 1.023619028491423 | (/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e))))) | |
| accuracy | 35.699789914153634 | #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)))) | |
| accuracy | 0.296875 | (*.f64 e #s(literal 2/3 binary64)) | |
| accuracy | 1.0315618330264673 | (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) | |
| accuracy | 1.2195366751833374 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) | |
| accuracy | 36.133737209618936 | #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))) | |
| accuracy | 0.0 | (neg.f64 v) | |
| accuracy | 0.03515625 | (*.f64 (fma.f64 (neg.f64 v) e v) e) | |
| accuracy | 1.2745274480985227 | #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)) | |
| accuracy | 35.561416482144885 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e))) | |
| accuracy | 0.0 | (cos.f64 v) | |
| accuracy | 0.0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v)))) | |
| accuracy | 0.24609375 | (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v))) | |
| accuracy | 0.3515625 | (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v)) |
| 157.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 771 to 141 computations (81.7% saved)
ival-mult: 30.0ms (22.5% of total)const: 24.0ms (18% of total)ival-div: 23.0ms (17.2% of total)ival-add: 19.0ms (14.2% of total)ival-cos: 12.0ms (9% of total)ival-pow: 11.0ms (8.2% of total)ival-sin: 7.0ms (5.2% of total)ival-sub: 5.0ms (3.7% of total)ival-neg: 2.0ms (1.5% of total)exact: 1.0ms (0.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v)))) |
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v))) |
(sin.f64 v) |
(fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e))) |
#s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)) |
(*.f64 (fma.f64 (neg.f64 v) e v) e) |
(fma.f64 (neg.f64 v) e v) |
(+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))) |
(*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e))))) |
#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)))) |
#s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e))) |
(-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e))) |
#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e)) |
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e) |
(/.f64 #s(literal -1 binary64) (sin.f64 v)) |
(cos.f64 v) |
(neg.f64 v) |
(*.f64 e #s(literal 2/3 binary64)) |
(fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) |
(fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) |
| Outputs |
|---|
(* 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)))))) |
(/ 1 e) |
(/ (+ 1 (* e (cos v))) e) |
(* 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 (* e v))) |
-1/6 |
(- (* 2/3 e) 1/6) |
(* e (* v (+ 1 (* -1/6 (pow v 2))))) |
(* e (+ (* e (* v (- (* 2/3 (pow v 2)) 1))) (* v (+ 1 (* -1/6 (pow v 2)))))) |
(/ -1 (* e (sin v))) |
(/ (- (* -1 (/ (* e (cos v)) (sin v))) (/ 1 (sin v))) e) |
(/ (- (* -1/6 (pow v 2)) 1) (* e v)) |
(/ (- (+ (* -1/6 v) (* e (- (* 1/3 v) (/ 1 v)))) (/ 1 v)) e) |
(* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) |
(/ (- (* e (- (* 1/3 v) (/ 1 v))) (+ (* 1/6 v) (/ 1 v))) e) |
(* 2/3 e) |
(/ (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))))) |
(cos v) |
(+ (cos v) (/ 1 e)) |
(+ v (* -1 (/ v e))) |
(- (+ v (/ v (pow e 2))) (/ v e)) |
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) |
(* -1 (* (pow e 2) v)) |
(* (pow e 2) (+ (* -1 v) (/ v e))) |
(* -1 (* e v)) |
(* e (+ (* -1 v) (/ v e))) |
(* e (- 2/3 (* 1/6 (/ 1 e)))) |
(* -1 (* (pow e 2) (* (cos v) (sin v)))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* (pow e 2) (* v (- (* 2/3 (pow v 2)) 1))) |
(* (pow e 2) (+ (* v (- (* 2/3 (pow v 2)) 1)) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e))) |
(* -1 (/ (cos v) (sin v))) |
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))) |
(/ (- (* 1/3 (pow v 2)) 1) v) |
(- (+ (* -1/6 (/ v e)) (* 1/3 v)) (+ (/ 1 v) (/ 1 (* e v)))) |
(- (* 1/3 v) (/ 1 v)) |
(- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 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))) |
(+ (/ (sin v) (cos v)) (/ (* (sin v) (sqrt -1)) (* e (pow (cos v) 2)))) |
(+ (* -1 (/ (- (* -1 (/ (* (sin v) (pow (sqrt -1) 2)) (* e (pow (cos v) 3)))) (/ (* (sin v) (sqrt -1)) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (- (* -1 (/ (- (/ (* (sin v) (pow (sqrt -1) 3)) (* e (pow (cos v) 4))) (* -1 (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 3)))) e)) (/ (* (sin v) (sqrt -1)) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (cos v) (* -1 (/ (sqrt -1) e))) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
(* -1 (* e (+ v (* -1 (/ v e))))) |
(* -1 (* e (- (* 1/6 (/ 1 e)) 2/3))) |
(* -1 (* (pow e 2) (* v (+ 1 (* -2/3 (pow v 2)))))) |
(* (pow e 2) (+ (* -1 (* v (+ 1 (* -2/3 (pow v 2))))) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e))) |
(/ (* 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)))) |
(/ v (+ 1 (/ 1 e))) |
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))) |
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))) |
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))) |
(* 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)))) |
(+ 1 (/ 1 e)) |
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e))) |
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e))) |
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e))) |
(* e (* v (+ 1 (* -1 e)))) |
(* v (+ 1 (* -1 e))) |
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e))))) |
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))))))) |
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e)))))))))))) |
(* e (* v (- 1 e))) |
(* v (+ (* e (* (pow v 2) (- (* 2/3 e) 1/6))) (* e (- 1 e)))) |
(* -1 (/ (+ 1 e) (* e v))) |
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) v) |
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1 (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))))))) (* -1/6 (/ (+ 1 e) e)))))) v) |
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1/6 (/ (+ 1 e) e)) (* (pow v 2) (+ (* -1 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))))))) v) |
(* -1 (/ (+ 1 (/ 1 e)) v)) |
(/ (- (* (pow v 2) (- 1/3 (* 1/6 (/ 1 e)))) (+ 1 (/ 1 e))) v) |
(/ -1 (* e v)) |
(/ (- (* -1/6 (/ (pow v 2) e)) (/ 1 e)) v) |
(/ (- (* (pow v 2) (- (* -7/360 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) (/ 1 e)) v) |
(/ (- (* (pow v 2) (- (* (pow v 2) (- (* -31/15120 (/ (pow v 2) e)) (* 7/360 (/ 1 e)))) (* 1/6 (/ 1 e)))) (/ 1 e)) v) |
(/ -1 v) |
(/ (- (* -1/6 (pow v 2)) 1) v) |
(/ (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1) v) |
(/ (- (* (pow v 2) (- (* (pow v 2) (- (* -31/15120 (pow v 2)) 7/360)) 1/6)) 1) 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))) |
(* -1 v) |
(/ 1 v) |
(/ (+ 1 (* 1/6 (pow v 2))) v) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (sin v) (+ (cos v) (/ 1 e))) |
(sin v) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(* e (* (pow v 3) (- (* 2/3 e) 1/6))) |
(* (pow v 3) (+ (* e (- (* 2/3 e) 1/6)) (/ (* e (- 1 e)) (pow v 2)))) |
(* -1 (/ (+ 1 (* e (cos v))) (* e (sin v)))) |
(* v (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) |
(* v (+ 1/2 (+ (* -1 (/ (+ 1 e) (* e (pow v 2)))) (* -1/6 (/ (+ 1 e) e))))) |
(* v (- 1/3 (* 1/6 (/ 1 e)))) |
(* v (- (+ 1/3 (* -1 (/ (+ 1 (/ 1 e)) (pow v 2)))) (* 1/6 (/ 1 e)))) |
(/ -1 (sin v)) |
(* 1/6 v) |
(* v (+ 1/6 (/ 1 (pow v 2)))) |
(* 1/3 v) |
(* v (- 1/3 (/ 1 (pow v 2)))) |
(* -1 (* e (* v (- e 1)))) |
(* -1 (* v (- e 1))) |
(* -1 (* (pow v 3) (+ (* -1 (* e (- (* 2/3 e) 1/6))) (* -1 (/ (* e (- 1 e)) (pow v 2)))))) |
(* -1 (* v (+ (* -1 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))))) |
(* -1 (* v (- (* 1/6 (/ 1 e)) 1/3))) |
(* -1 (* v (- (+ (* 1/6 (/ 1 e)) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))) 1/3))) |
(* -1 (* v (- (/ 1 (pow v 2)) 1/3))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | v | @ | inf | ((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/4) (pow e -3/4)) (cos v))) (sin v) (+ (* (pow e -1/4) (pow e -3/4)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* (+ (* (neg v) e) v) e) (+ (* (neg v) e) v) (+ -1/6 (* e 2/3)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (* (* v e) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/ (/ -1 (sin v)) e) (/ -1 (sin v)) (cos v) (neg v) (* e 2/3) (+ (* 1/6 v) (/ 1 v)) (+ (* 1/3 v) (/ -1 v))) |
| 7.0ms | v | @ | -inf | ((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/4) (pow e -3/4)) (cos v))) (sin v) (+ (* (pow e -1/4) (pow e -3/4)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* (+ (* (neg v) e) v) e) (+ (* (neg v) e) v) (+ -1/6 (* e 2/3)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (* (* v e) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/ (/ -1 (sin v)) e) (/ -1 (sin v)) (cos v) (neg v) (* e 2/3) (+ (* 1/6 v) (/ 1 v)) (+ (* 1/3 v) (/ -1 v))) |
| 5.0ms | e | @ | -inf | ((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/4) (pow e -3/4)) (cos v))) (sin v) (+ (* (pow e -1/4) (pow e -3/4)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* (+ (* (neg v) e) v) e) (+ (* (neg v) e) v) (+ -1/6 (* e 2/3)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (* (* v e) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/ (/ -1 (sin v)) e) (/ -1 (sin v)) (cos v) (neg v) (* e 2/3) (+ (* 1/6 v) (/ 1 v)) (+ (* 1/3 v) (/ -1 v))) |
| 5.0ms | v | @ | 0 | ((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/4) (pow e -3/4)) (cos v))) (sin v) (+ (* (pow e -1/4) (pow e -3/4)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* (+ (* (neg v) e) v) e) (+ (* (neg v) e) v) (+ -1/6 (* e 2/3)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (* (* v e) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/ (/ -1 (sin v)) e) (/ -1 (sin v)) (cos v) (neg v) (* e 2/3) (+ (* 1/6 v) (/ 1 v)) (+ (* 1/3 v) (/ -1 v))) |
| 5.0ms | e | @ | 0 | ((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/4) (pow e -3/4)) (cos v))) (sin v) (+ (* (pow e -1/4) (pow e -3/4)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* (+ (* (neg v) e) v) e) (+ (* (neg v) e) v) (+ -1/6 (* e 2/3)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (* (* v e) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/ (/ -1 (sin v)) e) (/ -1 (sin v)) (cos v) (neg v) (* e 2/3) (+ (* 1/6 v) (/ 1 v)) (+ (* 1/3 v) (/ -1 v))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 534 | 2329 |
| 1 | 1717 | 2216 |
| 2 | 5450 | 2117 |
| 0 | 8132 | 1983 |
| 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)))))) |
(/ 1 e) |
(/ (+ 1 (* e (cos v))) e) |
(* 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 (* e v))) |
-1/6 |
(- (* 2/3 e) 1/6) |
(* e (* v (+ 1 (* -1/6 (pow v 2))))) |
(* e (+ (* e (* v (- (* 2/3 (pow v 2)) 1))) (* v (+ 1 (* -1/6 (pow v 2)))))) |
(/ -1 (* e (sin v))) |
(/ (- (* -1 (/ (* e (cos v)) (sin v))) (/ 1 (sin v))) e) |
(/ (- (* -1/6 (pow v 2)) 1) (* e v)) |
(/ (- (+ (* -1/6 v) (* e (- (* 1/3 v) (/ 1 v)))) (/ 1 v)) e) |
(* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) |
(/ (- (* e (- (* 1/3 v) (/ 1 v))) (+ (* 1/6 v) (/ 1 v))) e) |
(* 2/3 e) |
(/ (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))))) |
(cos v) |
(+ (cos v) (/ 1 e)) |
(+ v (* -1 (/ v e))) |
(- (+ v (/ v (pow e 2))) (/ v e)) |
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) |
(* -1 (* (pow e 2) v)) |
(* (pow e 2) (+ (* -1 v) (/ v e))) |
(* -1 (* e v)) |
(* e (+ (* -1 v) (/ v e))) |
(* e (- 2/3 (* 1/6 (/ 1 e)))) |
(* -1 (* (pow e 2) (* (cos v) (sin v)))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* (pow e 2) (* v (- (* 2/3 (pow v 2)) 1))) |
(* (pow e 2) (+ (* v (- (* 2/3 (pow v 2)) 1)) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e))) |
(* -1 (/ (cos v) (sin v))) |
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))) |
(/ (- (* 1/3 (pow v 2)) 1) v) |
(- (+ (* -1/6 (/ v e)) (* 1/3 v)) (+ (/ 1 v) (/ 1 (* e v)))) |
(- (* 1/3 v) (/ 1 v)) |
(- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 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))) |
(+ (/ (sin v) (cos v)) (/ (* (sin v) (sqrt -1)) (* e (pow (cos v) 2)))) |
(+ (* -1 (/ (- (* -1 (/ (* (sin v) (pow (sqrt -1) 2)) (* e (pow (cos v) 3)))) (/ (* (sin v) (sqrt -1)) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (- (* -1 (/ (- (/ (* (sin v) (pow (sqrt -1) 3)) (* e (pow (cos v) 4))) (* -1 (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 3)))) e)) (/ (* (sin v) (sqrt -1)) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (cos v) (* -1 (/ (sqrt -1) e))) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
(* -1 (* e (+ v (* -1 (/ v e))))) |
(* -1 (* e (- (* 1/6 (/ 1 e)) 2/3))) |
(* -1 (* (pow e 2) (* v (+ 1 (* -2/3 (pow v 2)))))) |
(* (pow e 2) (+ (* -1 (* v (+ 1 (* -2/3 (pow v 2))))) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e))) |
(/ (* 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)))) |
(/ v (+ 1 (/ 1 e))) |
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))) |
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))) |
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))) |
(* 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)))) |
(+ 1 (/ 1 e)) |
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e))) |
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e))) |
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e))) |
(* e (* v (+ 1 (* -1 e)))) |
(* v (+ 1 (* -1 e))) |
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e))))) |
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))))))) |
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e)))))))))))) |
(* e (* v (- 1 e))) |
(* v (+ (* e (* (pow v 2) (- (* 2/3 e) 1/6))) (* e (- 1 e)))) |
(* -1 (/ (+ 1 e) (* e v))) |
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) v) |
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1 (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))))))) (* -1/6 (/ (+ 1 e) e)))))) v) |
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1/6 (/ (+ 1 e) e)) (* (pow v 2) (+ (* -1 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))))))) v) |
(* -1 (/ (+ 1 (/ 1 e)) v)) |
(/ (- (* (pow v 2) (- 1/3 (* 1/6 (/ 1 e)))) (+ 1 (/ 1 e))) v) |
(/ -1 (* e v)) |
(/ (- (* -1/6 (/ (pow v 2) e)) (/ 1 e)) v) |
(/ (- (* (pow v 2) (- (* -7/360 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) (/ 1 e)) v) |
(/ (- (* (pow v 2) (- (* (pow v 2) (- (* -31/15120 (/ (pow v 2) e)) (* 7/360 (/ 1 e)))) (* 1/6 (/ 1 e)))) (/ 1 e)) v) |
(/ -1 v) |
(/ (- (* -1/6 (pow v 2)) 1) v) |
(/ (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1) v) |
(/ (- (* (pow v 2) (- (* (pow v 2) (- (* -31/15120 (pow v 2)) 7/360)) 1/6)) 1) 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))) |
(* -1 v) |
(/ 1 v) |
(/ (+ 1 (* 1/6 (pow v 2))) v) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (sin v) (+ (cos v) (/ 1 e))) |
(sin v) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(* e (* (pow v 3) (- (* 2/3 e) 1/6))) |
(* (pow v 3) (+ (* e (- (* 2/3 e) 1/6)) (/ (* e (- 1 e)) (pow v 2)))) |
(* -1 (/ (+ 1 (* e (cos v))) (* e (sin v)))) |
(* v (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) |
(* v (+ 1/2 (+ (* -1 (/ (+ 1 e) (* e (pow v 2)))) (* -1/6 (/ (+ 1 e) e))))) |
(* v (- 1/3 (* 1/6 (/ 1 e)))) |
(* v (- (+ 1/3 (* -1 (/ (+ 1 (/ 1 e)) (pow v 2)))) (* 1/6 (/ 1 e)))) |
(/ -1 (sin v)) |
(* 1/6 v) |
(* v (+ 1/6 (/ 1 (pow v 2)))) |
(* 1/3 v) |
(* v (- 1/3 (/ 1 (pow v 2)))) |
(* -1 (* e (* v (- e 1)))) |
(* -1 (* v (- e 1))) |
(* -1 (* (pow v 3) (+ (* -1 (* e (- (* 2/3 e) 1/6))) (* -1 (/ (* e (- 1 e)) (pow v 2)))))) |
(* -1 (* v (+ (* -1 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))))) |
(* -1 (* v (- (* 1/6 (/ 1 e)) 1/3))) |
(* -1 (* v (- (+ (* 1/6 (/ 1 e)) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))) 1/3))) |
(* -1 (* v (- (/ 1 (pow v 2)) 1/3))) |
| Outputs |
|---|
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) e (sin.f64 v)) e) |
(* 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 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (*.f64 (sin.f64 v) (fma.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64))) e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) e (sin.f64 v)) e) |
(/ 1 e) |
(/.f64 #s(literal 1 binary64) e) |
(/ (+ 1 (* e (cos v))) e) |
(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) |
(* e v) |
(*.f64 v e) |
(* e (+ v (* -1 (* e v)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v) |
(* e (+ v (* e (- (* e v) v)))) |
(*.f64 (*.f64 (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)) v) e) |
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))) |
(*.f64 (fma.f64 (*.f64 v (fma.f64 (-.f64 #s(literal 1 binary64) e) e #s(literal -1 binary64))) e v) e) |
v |
(+ v (* -1 (* e v))) |
(*.f64 (-.f64 #s(literal 1 binary64) e) v) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 2/3 e) 1/6) |
(fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) |
(* e (* v (+ 1 (* -1/6 (pow v 2))))) |
(*.f64 (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v) e) |
(* e (+ (* e (* v (- (* 2/3 (pow v 2)) 1))) (* v (+ 1 (* -1/6 (pow v 2)))))) |
(*.f64 (*.f64 v (fma.f64 (fma.f64 (*.f64 v v) #s(literal 2/3 binary64) #s(literal -1 binary64)) e (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)))) e) |
(/ -1 (* e (sin v))) |
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)) |
(/ (- (* -1 (/ (* e (cos v)) (sin v))) (/ 1 (sin v))) e) |
(/.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 v))) e) |
(/ (- (* -1/6 (pow v 2)) 1) (* e v)) |
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) e) v) |
(/ (- (+ (* -1/6 v) (* e (- (* 1/3 v) (/ 1 v)))) (/ 1 v)) e) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) e (fma.f64 #s(literal -1/6 binary64) v (/.f64 #s(literal -1 binary64) v))) e) |
(* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) |
(/.f64 (fma.f64 #s(literal -1/6 binary64) v (/.f64 #s(literal -1 binary64) v)) e) |
(/ (- (* e (- (* 1/3 v) (/ 1 v))) (+ (* 1/6 v) (/ 1 v))) e) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) e (fma.f64 #s(literal -1/6 binary64) v (/.f64 #s(literal -1 binary64) v))) e) |
(* 2/3 e) |
(*.f64 #s(literal 2/3 binary64) e) |
(/ (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 (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 (/ (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 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (pow.f64 e #s(literal 3 binary64))))) (/.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)) |
(cos v) |
(cos.f64 v) |
(+ (cos v) (/ 1 e)) |
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) |
(+ v (* -1 (/ v e))) |
(-.f64 v (/.f64 v e)) |
(- (+ v (/ v (pow e 2))) (/ v e)) |
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) |
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) |
(-.f64 (-.f64 v (/.f64 v (pow.f64 e #s(literal 3 binary64)))) (/.f64 (-.f64 v (/.f64 v e)) e)) |
(* -1 (* (pow e 2) v)) |
(*.f64 (*.f64 (neg.f64 e) e) v) |
(* (pow e 2) (+ (* -1 v) (/ v e))) |
(*.f64 (*.f64 (-.f64 (/.f64 v e) v) e) e) |
(* -1 (* e v)) |
(*.f64 (neg.f64 e) v) |
(* e (+ (* -1 v) (/ v e))) |
(*.f64 (-.f64 (/.f64 v e) v) e) |
(* e (- 2/3 (* 1/6 (/ 1 e)))) |
(*.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) e) |
(* -1 (* (pow e 2) (* (cos v) (sin v)))) |
(*.f64 (*.f64 (neg.f64 e) e) (*.f64 (cos.f64 v) (sin.f64 v))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e)) |
(* (pow e 2) (* v (- (* 2/3 (pow v 2)) 1))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 2/3 binary64) #s(literal -1 binary64)) v) e) e) |
(* (pow e 2) (+ (* v (- (* 2/3 (pow v 2)) 1)) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 v v) #s(literal 2/3 binary64) #s(literal -1 binary64)) v (/.f64 (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v) e)) (*.f64 e e)) |
(* -1 (/ (cos v) (sin v))) |
(/.f64 (neg.f64 (cos.f64 v)) (sin.f64 v)) |
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)) (/.f64 (cos.f64 v) (sin.f64 v))) |
(/ (- (* 1/3 (pow v 2)) 1) v) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) v) v #s(literal -1 binary64)) v) |
(- (+ (* -1/6 (/ v e)) (* 1/3 v)) (+ (/ 1 v) (/ 1 (* e v)))) |
(-.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (/.f64 #s(literal 1 binary64) v) e)) |
(- (* 1/3 v) (/ 1 v)) |
(fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) |
(- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v)) |
(-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 (fma.f64 #s(literal -1/6 binary64) v (/.f64 #s(literal -1 binary64) v)) e)) (/.f64 #s(literal 1 binary64) 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 (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 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e)) |
(+ (/ (sin v) (cos v)) (/ (* (sin v) (sqrt -1)) (* e (pow (cos v) 2)))) |
(fma.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v) (/.f64 (sin.f64 v) (cos.f64 v))) |
(+ (* -1 (/ (- (* -1 (/ (* (sin v) (pow (sqrt -1) 2)) (* e (pow (cos v) 3)))) (/ (* (sin v) (sqrt -1)) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
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(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) |
(* -1 v) |
(neg.f64 v) |
(/ 1 v) |
(/.f64 #s(literal 1 binary64) v) |
(/ (+ 1 (* 1/6 (pow v 2))) v) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) v) v #s(literal 1 binary64)) v) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(/ (sin v) (+ (cos v) (/ 1 e))) |
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))) |
(sin v) |
(sin.f64 v) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) |
(* e (* (pow v 3) (- (* 2/3 e) 1/6))) |
(*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) e) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) |
(* (pow v 3) (+ (* e (- (* 2/3 e) 1/6)) (/ (* e (- 1 e)) (pow v 2)))) |
(*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) e) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) e) v) v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)))) |
(* -1 (/ (+ 1 (* e (cos v))) (* e (sin v)))) |
(/.f64 (/.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)) e) (sin.f64 v)) |
(* v (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) v) |
(* v (+ 1/2 (+ (* -1 (/ (+ 1 e) (* e (pow v 2)))) (* -1/6 (/ (+ 1 e) e))))) |
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) v) |
(* v (- 1/3 (* 1/6 (/ 1 e)))) |
(*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v) |
(* v (- (+ 1/3 (* -1 (/ (+ 1 (/ 1 e)) (pow v 2)))) (* 1/6 (/ 1 e)))) |
(*.f64 (-.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v) v)) (/.f64 #s(literal 1/6 binary64) e)) v) |
(/ -1 (sin v)) |
(/.f64 #s(literal -1 binary64) (sin.f64 v)) |
(* 1/6 v) |
(*.f64 #s(literal 1/6 binary64) v) |
(* v (+ 1/6 (/ 1 (pow v 2)))) |
(fma.f64 #s(literal 1/6 binary64) v (/.f64 v (*.f64 v v))) |
(* 1/3 v) |
(*.f64 #s(literal 1/3 binary64) v) |
(* v (- 1/3 (/ 1 (pow v 2)))) |
(*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) v)) v) |
(* -1 (* e (* v (- e 1)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v) |
(* -1 (* v (- e 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) e) v) |
(* -1 (* (pow v 3) (+ (* -1 (* e (- (* 2/3 e) 1/6))) (* -1 (/ (* e (- 1 e)) (pow v 2)))))) |
(*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) e) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) e) v) v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)))) |
(* -1 (* v (+ (* -1 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))))) |
(neg.f64 (fma.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) v) e) (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64))) v (/.f64 v (*.f64 v v)))) |
(* -1 (* v (- (* 1/6 (/ 1 e)) 1/3))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal 1/3 binary64)) (neg.f64 v)) |
(* -1 (* v (- (+ (* 1/6 (/ 1 e)) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))) 1/3))) |
(*.f64 (+.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) v) e) (/.f64 (/.f64 #s(literal 1 binary64) v) v)) (-.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal 1/3 binary64))) (neg.f64 v)) |
(* -1 (* v (- (/ 1 (pow v 2)) 1/3))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) v) #s(literal 1/3 binary64)) (neg.f64 v)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 411 |
| 0 | 103 | 402 |
| 1 | 453 | 400 |
| 2 | 3605 | 400 |
| 0 | 8511 | 387 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v)))) |
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v))) |
(sin.f64 v) |
(fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e))) |
#s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)) |
(*.f64 (fma.f64 (neg.f64 v) e v) e) |
(fma.f64 (neg.f64 v) e v) |
(+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))) |
(*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e))))) |
#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)))) |
#s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e))) |
(-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e))) |
#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e)) |
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e) |
(/.f64 #s(literal -1 binary64) (sin.f64 v)) |
(cos.f64 v) |
(neg.f64 v) |
(*.f64 e #s(literal 2/3 binary64)) |
(fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) |
(fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))) |
(*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 e #s(literal -2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))) |
(*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64)))) (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) #s(literal -1 binary64)) (sin.f64 v)) |
(*.f64 (neg.f64 (sin.f64 v)) (pow.f64 (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))) #s(literal -1 binary64))) |
(*.f64 (sin.f64 v) (pow.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))) |
(pow.f64 (/.f64 (/.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) (sin.f64 v)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) (sin.f64 v)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 v) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 v)))) (neg.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))))) |
(/.f64 (*.f64 (sin.f64 v) #s(literal 1 binary64)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 v))) (neg.f64 (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))) |
(/.f64 (neg.f64 (sin.f64 v)) (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) (sin.f64 v)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) (sin.f64 v)))) |
(/.f64 (sin.f64 v) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) (sin.f64 v))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) (sin.f64 v)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) (sin.f64 v))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 v)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))) |
(neg.f64 (/.f64 (sin.f64 v) (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) (sin.f64 v))) #s(literal -1 binary64))) |
(sin.f64 v) |
(*.f64 (-.f64 (pow.f64 e #s(literal -2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (pow.f64 (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))) (pow.f64 (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) (-.f64 (pow.f64 e #s(literal -2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64)))) (neg.f64 (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 e #s(literal -2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 e #s(literal -2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64)))) (neg.f64 (fma.f64 (cos.f64 v) (cos.f64 v) (-.f64 (pow.f64 e #s(literal -2 binary64)) (*.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64)))) (neg.f64 (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64))))) |
(/.f64 (-.f64 (pow.f64 e #s(literal -2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))) (fma.f64 (cos.f64 v) (cos.f64 v) (-.f64 (pow.f64 e #s(literal -2 binary64)) (*.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))) (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) (-.f64 (pow.f64 e #s(literal -2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) (-.f64 (pow.f64 e #s(literal -2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))))) |
(fma.f64 (pow.f64 e #s(literal -5/8 binary64)) (pow.f64 e #s(literal -3/8 binary64)) (cos.f64 v)) |
(fma.f64 (pow.f64 e #s(literal -7/8 binary64)) (pow.f64 e #s(literal -1/8 binary64)) (cos.f64 v)) |
(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)) |
(fma.f64 (pow.f64 e #s(literal -1/8 binary64)) (pow.f64 e #s(literal -7/8 binary64)) (cos.f64 v)) |
(fma.f64 (pow.f64 e #s(literal -3/8 binary64)) (pow.f64 e #s(literal -5/8 binary64)) (cos.f64 v)) |
(fma.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64) (cos.f64 v)) |
(fma.f64 (pow.f64 e #s(literal -3/4 binary64)) (pow.f64 e #s(literal -1/4 binary64)) (cos.f64 v)) |
(fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) |
(-.f64 (/.f64 (pow.f64 e #s(literal -2 binary64)) (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))) (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))) |
(+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) |
(+.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e))) |
#s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)) |
(*.f64 (fma.f64 (neg.f64 v) e v) e) |
(*.f64 e (fma.f64 (neg.f64 v) e v)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 v e) #s(literal 2 binary64)) (*.f64 v v)) e)) (neg.f64 (fma.f64 (neg.f64 e) v (neg.f64 v)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 v #s(literal 3 binary64)) (pow.f64 (*.f64 v e) #s(literal 3 binary64))) e)) (neg.f64 (fma.f64 v (-.f64 v (*.f64 (neg.f64 e) v)) (pow.f64 (*.f64 v e) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 e (-.f64 (pow.f64 (*.f64 v e) #s(literal 2 binary64)) (*.f64 v v)))) (neg.f64 (fma.f64 (neg.f64 e) v (neg.f64 v)))) |
(/.f64 (neg.f64 (*.f64 e (+.f64 (pow.f64 v #s(literal 3 binary64)) (pow.f64 (*.f64 v e) #s(literal 3 binary64))))) (neg.f64 (fma.f64 v (-.f64 v (*.f64 (neg.f64 e) v)) (pow.f64 (*.f64 v e) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 v e) #s(literal 2 binary64)) (*.f64 v v)) e) (fma.f64 (neg.f64 e) v (neg.f64 v))) |
(/.f64 (*.f64 (+.f64 (pow.f64 v #s(literal 3 binary64)) (pow.f64 (*.f64 v e) #s(literal 3 binary64))) e) (fma.f64 v (-.f64 v (*.f64 (neg.f64 e) v)) (pow.f64 (*.f64 v e) #s(literal 2 binary64)))) |
(/.f64 (*.f64 e (-.f64 (pow.f64 (*.f64 v e) #s(literal 2 binary64)) (*.f64 v v))) (fma.f64 (neg.f64 e) v (neg.f64 v))) |
(/.f64 (*.f64 e (+.f64 (pow.f64 v #s(literal 3 binary64)) (pow.f64 (*.f64 v e) #s(literal 3 binary64)))) (fma.f64 v (-.f64 v (*.f64 (neg.f64 e) v)) (pow.f64 (*.f64 v e) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (neg.f64 e) v) e (*.f64 v e)) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) v (pow.f64 v #s(literal -1 binary64))) (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 v v)) (pow.f64 v #s(literal -2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 v v) (-.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) v) (neg.f64 v)))) (fma.f64 #s(literal 1/27 binary64) (pow.f64 v #s(literal 3 binary64)) (pow.f64 v #s(literal -3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) v (pow.f64 v #s(literal -1 binary64))) (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 v v)) (pow.f64 v #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 v v) (-.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) v) (neg.f64 v)))) (fma.f64 #s(literal 1/27 binary64) (pow.f64 v #s(literal 3 binary64)) (pow.f64 v #s(literal -3 binary64))))) |
(fma.f64 (pow.f64 v #s(literal -1 binary64)) #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) v)) |
(fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) |
(fma.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) v)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) v) (*.f64 #s(literal 1/3 binary64) v)) |
(fma.f64 v #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) v)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 v v)) (fma.f64 #s(literal 1/3 binary64) v (pow.f64 v #s(literal -1 binary64)))) (/.f64 (pow.f64 v #s(literal -2 binary64)) (fma.f64 #s(literal 1/3 binary64) v (pow.f64 v #s(literal -1 binary64))))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) v) (/.f64 #s(literal -1 binary64) v)) |
(+.f64 (/.f64 #s(literal -1 binary64) v) (*.f64 #s(literal 1/3 binary64) v)) |
Compiled 22 863 to 2 542 computations (88.9% saved)
38 alts after pruning (31 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 498 | 16 | 514 |
| Fresh | 12 | 15 | 27 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 6 | 6 |
| Total | 514 | 38 | 552 |
| Status | Accuracy | Program |
|---|---|---|
| 70.9% | (pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| ✓ | 98.2% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
| 98.2% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (fma.f64 e e #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64)))))) | |
| 98.0% | (/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))) | |
| 98.1% | (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (*.f64 (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 1 binary64))) e) (*.f64 e (*.f64 (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 1 binary64))))) | |
| 94.5% | (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (- -1 (* (cos v) e)) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e))) | |
| 44.0% | (/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))) | |
| 94.4% | (/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v)))) | |
| 41.7% | (/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (/ -1 (sin v)) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) v)) e))) | |
| 4.9% | (/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) v) v)) v))) | |
| 40.8% | (/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (/ -1 (sin v)) e) (/.f64 #s(literal -1 binary64) (*.f64 v e))))) | |
| 5.0% | (/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) v)))) | |
| 5.7% | (/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)))))) | |
| 41.7% | (/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (/.f64 (fma.f64 #s(literal -1/6 binary64) v (/.f64 #s(literal -1 binary64) v)) e))))) | |
| 5.0% | (/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v))))) | |
| ✓ | 99.8% | (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
| 96.0% | (*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) | |
| 44.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))) | |
| 97.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) #s(approx (cos v) #s(literal 1 binary64))))) | |
| 99.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -3/8 binary64)) (pow.f64 e #s(literal -5/8 binary64)) (cos.f64 v)))) | |
| ✓ | 99.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))) |
| ✓ | 99.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) |
| 95.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))) | |
| 42.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e))) | |
| ✓ | 44.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
| 97.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))) | |
| 43.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) | |
| 97.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))) | |
| ✓ | 43.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e))) |
| 22.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (+ (* (neg v) e) v) (*.f64 (neg.f64 e) v)) e))) | |
| ✓ | 42.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
| 22.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) #s(approx (* (+ (* (neg v) e) v) e) (*.f64 (*.f64 (neg.f64 e) e) v)))) | |
| 42.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (*.f64 v e)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))) | |
| 42.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (*.f64 (*.f64 v e) (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v)) v (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))) | |
| 68.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e)))) | |
| 42.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e) v))) | |
| 42.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 #s(approx (+ -1/6 (* e 2/3)) #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) | |
| 20.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) #s(approx (* (* v e) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 2/3 binary64) #s(literal -1 binary64)) v) e) e)))) |
Compiled 3 244 to 1 200 computations (63% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) #s(approx (* (+ (* (neg v) e) v) e) (*.f64 (*.f64 (neg.f64 e) e) v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (+ (* (neg v) e) v) (*.f64 (neg.f64 e) v)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 #s(approx (+ -1/6 (* e 2/3)) #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) #s(approx (* (* v e) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 2/3 binary64) #s(literal -1 binary64)) v) e) e)))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (/ -1 (sin v)) e) (/.f64 #s(literal -1 binary64) (*.f64 v e))))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (fma.f64 (*.f64 #s(literal 1/3 binary64) v) v #s(literal -1 binary64))) v))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) v)))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (/.f64 (fma.f64 #s(literal -1/6 binary64) v (/.f64 #s(literal -1 binary64) v)) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (*.f64 (*.f64 v e) (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v)) v (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (*.f64 v e)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) v) e)))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) e)) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (/ -1 (sin v)) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) v)) e))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) v) v)) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (/ (+ 1 e) e) -1/6) 1/2) (/.f64 #s(literal -1/6 binary64) e)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e))))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) v) v (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64))) (*.f64 v v) (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))) |
(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (- -1 (* (cos v) e)) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v)))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (fma.f64 e e #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) (sin.f64 v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) #s(approx (cos v) #s(literal 1 binary64))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e) (*.f64 e (/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v)))) (*.f64 e e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -3/8 binary64)) (pow.f64 e #s(literal -5/8 binary64)) (cos.f64 v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v)))) |
(pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v)) (*.f64 (sin.f64 v) (*.f64 (/.f64 (cos.f64 v) e) e))) (pow.f64 (sin.f64 v) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (*.f64 (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 1 binary64))) e) (*.f64 e (*.f64 (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 1 binary64))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64)))) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 e) (sin.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 e) (sin.f64 v)))))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 e #s(literal -2 binary64)) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) (fma.f64 (/.f64 (pow.f64 e #s(literal -2 binary64)) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) (/.f64 (pow.f64 e #s(literal -2 binary64)) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) (*.f64 (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) (/.f64 (pow.f64 e #s(literal -2 binary64)) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))))))))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
3 calls:
| 25.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 22.0ms | v |
| 21.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | e |
| 99.8% | 1 | v |
| 99.8% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) #s(approx (* (+ (* (neg v) e) v) e) (*.f64 (*.f64 (neg.f64 e) e) v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (+ (* (neg v) e) v) (*.f64 (neg.f64 e) v)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 #s(approx (+ -1/6 (* e 2/3)) #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) #s(approx (* (* v e) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 2/3 binary64) #s(literal -1 binary64)) v) e) e)))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (/ -1 (sin v)) e) (/.f64 #s(literal -1 binary64) (*.f64 v e))))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (fma.f64 (*.f64 #s(literal 1/3 binary64) v) v #s(literal -1 binary64))) v))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) v)))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (/.f64 (fma.f64 #s(literal -1/6 binary64) v (/.f64 #s(literal -1 binary64) v)) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (*.f64 (*.f64 v e) (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v)) v (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (*.f64 v e)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) v) e)))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) e)) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (/ -1 (sin v)) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) v)) e))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) v) v)) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (/ (+ 1 e) e) -1/6) 1/2) (/.f64 #s(literal -1/6 binary64) e)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e))))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) v) v (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64))) (*.f64 v v) (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))) |
(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (- -1 (* (cos v) e)) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v)))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (fma.f64 e e #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) (sin.f64 v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
| Outputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
3 calls:
| 45.0ms | v |
| 15.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 15.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 1 | e |
| 98.2% | 1 | v |
| 98.2% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) #s(approx (* (+ (* (neg v) e) v) e) (*.f64 (*.f64 (neg.f64 e) e) v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (+ (* (neg v) e) v) (*.f64 (neg.f64 e) v)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 #s(approx (+ -1/6 (* e 2/3)) #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) #s(approx (* (* v e) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 2/3 binary64) #s(literal -1 binary64)) v) e) e)))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (/ -1 (sin v)) e) (/.f64 #s(literal -1 binary64) (*.f64 v e))))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (fma.f64 (*.f64 #s(literal 1/3 binary64) v) v #s(literal -1 binary64))) v))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) v)))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (/.f64 (fma.f64 #s(literal -1/6 binary64) v (/.f64 #s(literal -1 binary64) v)) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (*.f64 (*.f64 v e) (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v)) v (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (*.f64 v e)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) v) e)))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) e)) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (/ -1 (sin v)) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) v)) e))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) v) v)) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (/ (+ 1 e) e) -1/6) 1/2) (/.f64 #s(literal -1/6 binary64) e)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e))))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) v) v (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64))) (*.f64 v v) (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))) |
3 calls:
| 12.0ms | v |
| 12.0ms | e |
| 11.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 1 | e |
| 97.1% | 1 | v |
| 97.1% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) #s(approx (* (+ (* (neg v) e) v) e) (*.f64 (*.f64 (neg.f64 e) e) v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (+ (* (neg v) e) v) (*.f64 (neg.f64 e) v)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 #s(approx (+ -1/6 (* e 2/3)) #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) #s(approx (* (* v e) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 2/3 binary64) #s(literal -1 binary64)) v) e) e)))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (/ -1 (sin v)) e) (/.f64 #s(literal -1 binary64) (*.f64 v e))))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (fma.f64 (*.f64 #s(literal 1/3 binary64) v) v #s(literal -1 binary64))) v))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) v)))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (/.f64 (fma.f64 #s(literal -1/6 binary64) v (/.f64 #s(literal -1 binary64) v)) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (*.f64 (*.f64 v e) (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v)) v (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (*.f64 v e)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) v) e)))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) e)) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (/ -1 (sin v)) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) v)) e))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) v) v)) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (/ (+ 1 e) e) -1/6) 1/2) (/.f64 #s(literal -1/6 binary64) e)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e))))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) v) v (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64))) (*.f64 v v) (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
3 calls:
| 14.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 11.0ms | v |
| 11.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.0% | 1 | e |
| 96.0% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 98.3% | 2 | v |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) #s(approx (* (+ (* (neg v) e) v) e) (*.f64 (*.f64 (neg.f64 e) e) v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (+ (* (neg v) e) v) (*.f64 (neg.f64 e) v)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 #s(approx (+ -1/6 (* e 2/3)) #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) #s(approx (* (* v e) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 2/3 binary64) #s(literal -1 binary64)) v) e) e)))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (/ -1 (sin v)) e) (/.f64 #s(literal -1 binary64) (*.f64 v e))))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (fma.f64 (*.f64 #s(literal 1/3 binary64) v) v #s(literal -1 binary64))) v))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) v)))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (/.f64 (fma.f64 #s(literal -1/6 binary64) v (/.f64 #s(literal -1 binary64) v)) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (*.f64 (*.f64 v e) (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v)) v (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (*.f64 v e)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) v) e)))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) e)) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (/ -1 (sin v)) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) v)) e))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) v) v)) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (/ (+ 1 e) e) -1/6) 1/2) (/.f64 #s(literal -1/6 binary64) e)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e))))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) v) v (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64))) (*.f64 v v) (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
3 calls:
| 12.0ms | v |
| 12.0ms | e |
| 10.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.4% | 1 | e |
| 44.4% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 44.4% | 1 | v |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) #s(approx (* (+ (* (neg v) e) v) e) (*.f64 (*.f64 (neg.f64 e) e) v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (+ (* (neg v) e) v) (*.f64 (neg.f64 e) v)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e))) |
3 calls:
| 5.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 3.0ms | e |
| 3.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.3% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 43.3% | 1 | v |
| 43.3% | 1 | e |
Compiled 13 to 13 computations (0% saved)
Total -13.6b remaining (-36.7%)
Threshold costs -13.6b (-36.7%)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) #s(approx (* (+ (* (neg v) e) v) e) (*.f64 (*.f64 (neg.f64 e) e) v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (+ (* (neg v) e) v) (*.f64 (neg.f64 e) v)) e))) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
3 calls:
| 2.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 2.0ms | v |
| 2.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.1% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 42.1% | 1 | v |
| 42.1% | 1 | e |
Compiled 13 to 13 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 8.16337446207046e-12 | 9.726066117588573e-12 |
| 2.0ms | 32× | 0 | valid |
Compiled 84 to 70 computations (16.7% saved)
ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-cos: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-sin: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 161 |
| 1 | 66 | 160 |
| 2 | 89 | 160 |
| 3 | 111 | 160 |
| 4 | 127 | 160 |
| 5 | 180 | 160 |
| 6 | 897 | 160 |
| 7 | 2589 | 160 |
| 8 | 5627 | 160 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))) |
(if (<=.f64 v #s(literal 1470053796651389/154742504910672534362390528 binary64)) #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))) |
(if (<=.f64 v #s(literal 1470053796651389/154742504910672534362390528 binary64)) #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 195 | 834 |
| 1 | 584 | 820 |
| 2 | 1675 | 788 |
| 3 | 4986 | 730 |
| 0 | 8150 | 668 |
| 0 | 9 | 29 |
| 0 | 15 | 29 |
| 1 | 42 | 29 |
| 2 | 241 | 29 |
| 3 | 2143 | 29 |
| 0 | 8498 | 27 |
| 0 | 469 | 2090 |
| 1 | 1518 | 1997 |
| 2 | 4701 | 1867 |
| 0 | 8535 | 1754 |
| 0 | 448 | 2322 |
| 1 | 1431 | 2245 |
| 2 | 4195 | 2190 |
| 0 | 8780 | 2071 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 244 to 109 computations (55.3% saved)
(negabs v)
Compiled 364 to 124 computations (65.9% saved)
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